Bouland and Aaronson, Equation (24)

Time bar (total: 9.4s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB 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)

sample1.2s (12.6%)

Memory
49.8MiB live, 1 547.0MiB allocated
Samples
824.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 636.0ms
ival-mult: 262.0ms (41.2% of total)
ival-add: 140.0ms (22% of total)
ival-pow2: 117.0ms (18.4% of total)
ival-sub: 98.0ms (15.4% of total)
exact: 10.0ms (1.6% of total)
ival-true: 6.0ms (0.9% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain298.0ms (3.2%)

Memory
-35.1MiB live, 345.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
540-0-(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
300-0-(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
260-1(-1.359697143515218e+298 5.695447651058566e-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-rescue540
(*.f64 b b)overflow58
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))overflow151
(*.f64 a a)overflow69
(+.f64 (*.f64 a a) (*.f64 b b))overflow117
(*.f64 b b)overflow58
(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))overflow131
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))overflow131
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))overflow76
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a))overflow85
(*.f64 a a)overflow69
+.f64(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))nan-rescue300
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a))overflow85
(*.f64 a a)overflow69
(*.f64 b b)overflow58
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))overflow76
Confusion
Predicted +Predicted -
+690
-0187
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6900
-00187
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0187
154
215
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
75.0ms512×0valid
Compiler

Compiled 307 to 58 computations (81.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-sub: 26.0ms (46.9% of total)
ival-mult: 14.0ms (25.2% of total)
ival-add: 9.0ms (16.2% of total)
ival-pow2: 5.0ms (9% of total)
exact: 1.0ms (1.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess345.0ms (3.7%)

Memory
43.7MiB live, 426.7MiB 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)

Compiler

Compiled 31 to 18 computations (41.9% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune6.0ms (0.1%)

Memory
-45.5MiB live, 2.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.9%
(-.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)

simplify338.0ms (3.6%)

Memory
33.9MiB live, 428.6MiB 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)

localize75.0ms (0.8%)

Memory
-30.0MiB live, 55.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.09994125976844201
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
accuracy5.92355584075346
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
accuracy6.742156537453088
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
accuracy10.769531250000002
(+.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
26.0ms256×0valid
Compiler

Compiled 138 to 20 computations (85.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 7.0ms (42.2% of total)
ival-add: 4.0ms (24.1% of total)
ival-sub: 2.0ms (12% of total)
ival-pow2: 2.0ms (12% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series13.0ms (0.1%)

Memory
19.7MiB live, 19.7MiB allocated
Counts
6 → 144
Calls
Call 1
Inputs
#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) (patch (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())
#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())
Outputs
#s(alt (pow b 4) (taylor 0 a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) (taylor 0 a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) (taylor 0 a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) (taylor 0 a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor inf a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) (taylor inf a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) (taylor inf a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) (taylor inf a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor -inf a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) (taylor -inf a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) (taylor -inf a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor 0 b) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (taylor 0 b) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) (taylor 0 b) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) (taylor 0 b) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow b 4) (taylor inf b) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) (taylor inf b) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) (taylor inf b) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) (taylor inf b) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor -inf b) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) (taylor -inf b) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) (taylor -inf b) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) (taylor -inf b) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow b 2)) (taylor 0 a) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow b 2)) (* a (pow b 2))) (taylor 0 a) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow b 2)) (* a (+ a (pow b 2)))) (taylor 0 a) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2)))) (taylor 0 a) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow a 3)) (taylor inf a) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 3) (- (/ 1 a) 1)) (taylor inf a) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1)) (taylor inf a) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1)) (taylor inf a) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow a 3)) (taylor -inf a) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow a 3) (- 1 (/ 1 a)))) (taylor -inf a) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a))))) (taylor -inf a) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a))))) (taylor -inf a) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (- 1 a)) (taylor 0 b) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a))) (taylor 0 b) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a))) (taylor 0 b) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a))) (taylor 0 b) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 a)) (taylor inf b) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) (taylor inf b) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) (taylor inf b) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) (taylor inf b) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 a)) (taylor -inf b) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) (taylor -inf b) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) (taylor -inf b) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) (taylor -inf b) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 a)) (taylor 0 b) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 a)) (taylor 0 b) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 a)) (taylor 0 b) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 a)) (taylor 0 b) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 a)) (taylor inf b) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 a)) (taylor inf b) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 a)) (taylor inf b) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 a)) (taylor inf b) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 a)) (taylor -inf b) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 a)) (taylor -inf b) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 a)) (taylor -inf b) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 a)) (taylor -inf b) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow b 2)) (taylor 0 a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow b 2)) (* a (pow b 2))) (taylor 0 a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow b 2)) (* a (pow b 2))) (taylor 0 a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow b 2)) (* a (pow b 2))) (taylor 0 a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* a (pow b 2)) (taylor inf a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* 3 (/ (pow b 2) a)) (pow b 2))) (taylor inf a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* 3 (/ (pow b 2) a)) (pow b 2))) (taylor inf a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* 3 (/ (pow b 2) a)) (pow b 2))) (taylor inf a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* a (pow b 2)) (taylor -inf a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) (taylor -inf a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) (taylor -inf a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) (taylor -inf a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
Calls

36 calls:

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

simplify320.0ms (3.4%)

Memory
-13.5MiB live, 390.7MiB 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 b (/.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)) #s(literal 1 binary64))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)) #s(literal 1 binary64))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal -2 binary64) #s(literal -4 binary64)) a)) a)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 4 binary64)) a)) a)))
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
(fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)))))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)))))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)))))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a))))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a))))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal -1 binary64))
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(fma.f64 a (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal -1 binary64)))
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 b (/.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)) #s(literal 1 binary64))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)) #s(literal 1 binary64))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal -2 binary64) #s(literal -4 binary64)) a)) a)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 4 binary64)) a)) a)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a)))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a)))))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a)))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a)))))
(pow b 2)
(*.f64 b b)
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(pow a 2)
(*.f64 a a)
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(* 3 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 3 binary64))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(+ (* 3 (pow b 2)) (* a (+ a (pow b 2))))
(fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a a))
(+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2))))
(fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (-.f64 a (*.f64 a a))))
(* -1 (pow a 3))
(*.f64 a (*.f64 a (neg.f64 a)))
(* (pow a 3) (- (/ 1 a) 1))
(*.f64 a (-.f64 a (*.f64 a a)))
(* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1))
(*.f64 a (fma.f64 b b (*.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)))))
(* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1))
(fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) a))) (*.f64 a (-.f64 a (*.f64 a a))))
(* -1 (pow a 3))
(*.f64 a (*.f64 a (neg.f64 a)))
(* -1 (* (pow a 3) (- 1 (/ 1 a))))
(*.f64 a (-.f64 a (*.f64 a a)))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a)))))
(*.f64 a (fma.f64 b b (*.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)))))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a)))))
(*.f64 a (*.f64 (*.f64 a a) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) a))) a)) a))))
(* (pow a 2) (- 1 a))
(*.f64 a (-.f64 a (*.f64 a a)))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (-.f64 a (*.f64 a a))))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (-.f64 a (*.f64 a a))))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (-.f64 a (*.f64 a a))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* 3 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 3 binary64))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* a (pow b 2))
(*.f64 b (*.f64 b a))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(fma.f64 b (*.f64 b a) (neg.f64 (*.f64 (*.f64 b b) #s(literal -3 binary64))))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(fma.f64 b (*.f64 b a) (neg.f64 (*.f64 (*.f64 b b) #s(literal -3 binary64))))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(fma.f64 b (*.f64 b a) (neg.f64 (*.f64 (*.f64 b b) #s(literal -3 binary64))))
(* a (pow b 2))
(*.f64 b (*.f64 b a))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(fma.f64 b (*.f64 b a) (neg.f64 (*.f64 (*.f64 b b) #s(literal -3 binary64))))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(fma.f64 b (*.f64 b a) (neg.f64 (*.f64 (*.f64 b b) #s(literal -3 binary64))))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(fma.f64 b (*.f64 b a) (neg.f64 (*.f64 (*.f64 b b) #s(literal -3 binary64))))

rewrite341.0ms (3.6%)

Memory
19.3MiB live, 363.2MiB allocated
Rules
5 458×lower-fma.f64
5 458×lower-fma.f32
4 122×lower-/.f64
4 122×lower-/.f32
3 974×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

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

eval132.0ms (1.4%)

Memory
7.7MiB live, 129.5MiB allocated
Compiler

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

prune249.0ms (2.7%)

Memory
1.6MiB live, 164.3MiB allocated
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New67812690
Fresh000
Picked101
Done000
Total67912691
Accuracy
100.0%
Counts
691 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.1%
(fma.f64 (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))
15.1%
(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)))
19.0%
(fma.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal -1 binary64)))
74.1%
(/.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)))))
14.6%
(-.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (-.f64 (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a))) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))))) #s(literal 4 binary64)) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (-.f64 (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a))) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (*.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 (*.f64 a (-.f64 #s(literal 1 binary64) a))) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b))))) #s(literal 1 binary64))
74.1%
(-.f64 (/.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))))) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))))) #s(literal 1 binary64))
65.8%
#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)))
69.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
99.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 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))))
85.7%
#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 #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))))
43.2%
#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))))
46.3%
#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 964 to 384 computations (60.2% saved)

simplify366.0ms (3.9%)

Memory
19.1MiB live, 325.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))))
cost-diff0
(fma.f64 #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-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-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)))))
cost-diff0
(fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))
cost-diff0
(*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))
cost-diff0
#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 #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))))
cost-diff320
(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)))
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 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)))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 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))))
cost-diff128
(fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))
cost-diff192
(fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)))
Rules
24 016×lower-fma.f32
23 980×lower-fma.f64
4 418×lower-+.f32
4 416×lower-+.f64
3 200×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056543
0101509
1255505
2695501
31957501
43878501
55591501
08354492
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 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))))
(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)))
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 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))
a
(fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 12 binary64)
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))
(*.f64 a a)
(fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)))
(fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))
(neg.f64 a)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
(*.f64 a (*.f64 a (*.f64 a a)))
a
(*.f64 a (*.f64 a a))
(*.f64 a a)
#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 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))))
(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)))
a
(*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))
#s(literal 2 binary64)
(*.f64 b 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))
(fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))
(fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))
#s(literal 12 binary64)
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))))
#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)
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 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))))
#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)) (fma.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) #s(literal -1 binary64))))
(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)))
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) #s(literal -1 binary64)))
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 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))))
(fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
(fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))
(fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))
a
(fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64))
(fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 12 binary64)
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 a a)
(fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)))
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))
(fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))
(fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))
(neg.f64 a)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
#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 a (*.f64 a (*.f64 a a)))
(*.f64 (*.f64 a 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 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))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 a (*.f64 a #s(literal 4 binary64)) (fma.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) #s(literal -1 binary64))))
(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)))
(fma.f64 a (*.f64 a #s(literal 4 binary64)) (fma.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) #s(literal -1 binary64)))
a
(*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))
(*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))
(fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))
#s(literal 2 binary64)
(*.f64 b 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))
(fma.f64 (*.f64 b b) (fma.f64 a #s(literal 4 binary64) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))
(fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))
(fma.f64 a #s(literal 4 binary64) (fma.f64 b b #s(literal 12 binary64)))
(fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))
(fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))
#s(literal 12 binary64)
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))))
(fma.f64 #s(literal 4 binary64) (fma.f64 a (-.f64 a (*.f64 a 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))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 a (-.f64 a (*.f64 a 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)))
(fma.f64 #s(literal 4 binary64) (fma.f64 a (-.f64 a (*.f64 a 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)))))
(fma.f64 a (-.f64 a (*.f64 a a)) (*.f64 b (*.f64 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))))
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)

localize233.0ms (2.5%)

Memory
-37.2MiB live, 218.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.12890625
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
accuracy0.38032070150141484
(/.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))))
accuracy5.4218502299624705
(fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))))
accuracy10.769531250000002
(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)))
accuracy0.3066883596584352
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal -1 binary64))
accuracy1.0156250000000002
(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)))
accuracy3.1153754223329124
(*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))
accuracy7.635671298150366
#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 #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))))
accuracy0
(fma.f64 b b #s(literal 12 binary64))
accuracy0
(*.f64 b b)
accuracy0.0859375
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))
accuracy21.841816112385498
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
accuracy0
(*.f64 a a)
accuracy0.0625
(*.f64 a (*.f64 a (*.f64 a a)))
accuracy0.09375
(*.f64 a (*.f64 a a))
accuracy34.37142018978635
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
accuracy0.0078125
(fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)))
accuracy0.015625
(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)))
accuracy0.06869125976844201
(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))
accuracy4.513108992743665
(*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))))
Samples
97.0ms243×0valid
6.0ms1valid
4.0ms2valid
Compiler

Compiled 538 to 63 computations (88.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 83.0ms
ival-mult: 34.0ms (40.8% of total)
ival-add: 23.0ms (27.6% of total)
ival-sub: 16.0ms (19.2% of total)
ival-div: 3.0ms (3.6% of total)
ival-pow2: 3.0ms (3.6% of total)
adjust: 2.0ms (2.4% of total)
exact: 1.0ms (1.2% of total)
ival-neg: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series58.0ms (0.6%)

Memory
9.9MiB live, 47.9MiB allocated
Counts
24 → 456
Calls
Call 1
Inputs
#s(alt (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) (patch (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (patch (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 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)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 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)))) #<representation binary64>) () ())
#s(alt (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))) (patch (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))) #<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 (*.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))) (patch (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))) #<representation binary64>) () ())
#s(alt #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 #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)))) (patch #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 #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)))) #<representation binary64>) () ())
#s(alt (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) (patch (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) (patch (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) #<representation binary64>) () ())
#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 (/.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 #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 (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (patch (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (patch (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) (patch (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) #<representation binary64>) () ())
Outputs
#s(alt 4 (taylor 0 a) (#s(alt (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) (patch (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4 (* -4 a)) (taylor 0 a) (#s(alt (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) (patch (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4 (* a (- a 4))) (taylor 0 a) (#s(alt (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) (patch (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4 (* a (- a 4))) (taylor 0 a) (#s(alt (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) (patch (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor inf a) (#s(alt (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) (patch (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (- 1 (* 4 (/ 1 a)))) (taylor inf a) (#s(alt (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) (patch (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* a (+ (* 3 (/ (pow b 2) a)) (pow b 2))) (taylor inf a) (#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 (* a (pow b 2)) (taylor -inf a) (#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 (* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) (taylor -inf a) (#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 (* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) (taylor -inf a) (#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 (* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) (taylor -inf a) (#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>) () ())) ())
Calls

114 calls:

TimeVariablePointExpression
3.0ms
b
@inf
(/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))
1.0ms
b
@0
(/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))
1.0ms
b
@0
(+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -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
a
@inf
(+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1))

simplify318.0ms (3.4%)

Memory
23.7MiB live, 208.7MiB allocated
Algorithm
egg-herbie
Rules
11 338×lower-fma.f64
11 338×lower-fma.f32
6 072×lower-*.f64
6 072×lower-*.f32
3 502×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04818777
115738442
253308412
080777681
Stop Event
iter limit
node limit
Counts
456 → 456
Calls
Call 1
Inputs
4
(+ 4 (* -4 a))
(+ 4 (* a (- a 4)))
(+ 4 (* a (- a 4)))
(pow a 2)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(pow a 2)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
4
(+ 4 (* -4 a))
(+ 4 (* -4 a))
(+ 4 (* -4 a))
(* -4 a)
(* a (- (* 4 (/ 1 a)) 4))
(* a (- (* 4 (/ 1 a)) 4))
(* a (- (* 4 (/ 1 a)) 4))
(* -4 a)
(* -1 (* a (- 4 (* 4 (/ 1 a)))))
(* -1 (* a (- 4 (* 4 (/ 1 a)))))
(* -1 (* a (- 4 (* 4 (/ 1 a)))))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(- (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4))))
(- (* (pow b 2) (+ 12 (pow b 2))) 1)
(- (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
-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)))))
(- (* (pow b 2) (+ 12 (pow b 2))) 1)
(- (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(* (pow a 2) (+ 4 (* 2 (pow b 2))))
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))))
(* (pow a 2) (- (+ 4 (+ (* 2 (pow b 2)) (+ (* 4 (/ (pow b 2) a)) (/ (* (pow b 2) (+ 12 (pow b 2))) (pow a 2))))) (/ 1 (pow a 2))))
(* (pow a 2) (- (+ 4 (+ (* 2 (pow b 2)) (+ (* 4 (/ (pow b 2) a)) (/ (* (pow b 2) (+ 12 (pow b 2))) (pow a 2))))) (/ 1 (pow a 2))))
(* (pow a 2) (+ 4 (* 2 (pow b 2))))
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))))
(* (pow a 2) (+ 4 (+ (* -1 (/ (+ (* -4 (pow b 2)) (* -1 (/ (- (* (pow b 2) (+ 12 (pow b 2))) 1) a))) a)) (* 2 (pow b 2)))))
(* (pow a 2) (+ 4 (+ (* -1 (/ (+ (* -4 (pow b 2)) (* -1 (/ (- (* (pow b 2) (+ 12 (pow b 2))) 1) a))) a)) (* 2 (pow b 2)))))
(- (* 4 (pow a 2)) 1)
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 12 (+ (* 2 (pow a 2)) (* 4 a))))) 1)
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 12 (+ (* 2 (pow a 2)) (+ (* 4 a) (pow b 2)))))) 1)
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 12 (+ (* 2 (pow a 2)) (+ (* 4 a) (pow b 2)))))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (+ (* 4 (/ (pow a 2) (pow b 4))) (* 12 (/ 1 (pow b 2))))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (+ (* 4 (/ (pow a 2) (pow b 4))) (* 12 (/ 1 (pow b 2))))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (+ (* 4 (/ (pow a 2) (pow b 4))) (* 12 (/ 1 (pow b 2))))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (+ (* 4 (/ (pow a 2) (pow b 4))) (* 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))))
(* a (+ 4 (* 2 (pow b 2))))
(* a (+ 4 (* 2 (pow b 2))))
(* a (+ 4 (* 2 (pow b 2))))
(* a (+ 4 (* 2 (pow b 2))))
(* a (+ 4 (* 2 (pow b 2))))
(* a (+ 4 (* 2 (pow b 2))))
(* a (+ 4 (* 2 (pow b 2))))
(* a (+ 4 (* 2 (pow b 2))))
(* a (+ 4 (* 2 (pow b 2))))
(* a (+ 4 (* 2 (pow b 2))))
(* a (+ 4 (* 2 (pow b 2))))
(* a (+ 4 (* 2 (pow b 2))))
(* 4 a)
(+ (* 2 (* a (pow b 2))) (* 4 a))
(+ (* 2 (* a (pow b 2))) (* 4 a))
(+ (* 2 (* a (pow b 2))) (* 4 a))
(* 2 (* a (pow b 2)))
(* (pow b 2) (+ (* 2 a) (* 4 (/ a (pow b 2)))))
(* (pow b 2) (+ (* 2 a) (* 4 (/ a (pow b 2)))))
(* (pow b 2) (+ (* 2 a) (* 4 (/ a (pow b 2)))))
(* 2 (* a (pow b 2)))
(* (pow b 2) (+ (* 2 a) (* 4 (/ a (pow b 2)))))
(* (pow b 2) (+ (* 2 a) (* 4 (/ a (pow b 2)))))
(* (pow b 2) (+ (* 2 a) (* 4 (/ a (pow b 2)))))
4
(+ 4 (* 2 (pow b 2)))
(+ 4 (* 2 (pow b 2)))
(+ 4 (* 2 (pow b 2)))
(* 2 (pow b 2))
(* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2)))))
(* 2 (pow b 2))
(* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 2 (* 4 (/ 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 (- (+ (* 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))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* 3 (pow b 2))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(+ (* 3 (pow b 2)) (* a (+ a (pow b 2))))
(+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2))))
(* -1 (pow a 3))
(* (pow a 3) (- (/ 1 a) 1))
(* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1))
(* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1))
(* -1 (pow a 3))
(* -1 (* (pow a 3) (- 1 (/ 1 a))))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a)))))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a)))))
(* (pow a 2) (- 1 a))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))
(* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))
(* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))
(pow b 3)
(* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(pow b 3)
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) 1)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) 1)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) 1)))
(* b (+ 12 (pow b 2)))
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2))))
(+ (* a (+ (* 2 (* a b)) (* 4 b))) (* b (+ 12 (pow b 2))))
(+ (* a (+ (* 2 (* a b)) (* 4 b))) (* b (+ 12 (pow b 2))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* 2 b) (* 4 (/ b a))))
(* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (/ (* b (+ 12 (pow b 2))) (pow a 2)))))
(* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (/ (* b (+ 12 (pow b 2))) (pow a 2)))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* 2 b) (* 4 (/ b a))))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))) a)) (* 2 b)))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))) a)) (* 2 b)))
-1
(- (* 4 (pow a 2)) 1)
(- (* (pow a 2) (+ 4 (* -4 a))) 1)
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4)))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a))))
-1
(- (* (pow b 2) (+ 12 (* 4 a))) 1)
(- (* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2)))) 1)
(- (* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2)))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))
(- (* (pow b 2) (+ 12 (pow b 2))) 1)
(- (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(- (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(- (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(* 4 (* a (pow b 2)))
(* a (- (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a)) (/ 1 a)))
(* a (- (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a)) (/ 1 a)))
(* a (- (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a)) (/ 1 a)))
(* 4 (* a (pow b 2)))
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (- (* (pow b 2) (+ 12 (pow b 2))) 1) a)))))
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (- (* (pow b 2) (+ 12 (pow b 2))) 1) a)))))
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (- (* (pow b 2) (+ 12 (pow b 2))) 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)))))
Outputs
4
#s(literal 4 binary64)
(+ 4 (* -4 a))
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))
(+ 4 (* a (- a 4)))
(fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64))
(+ 4 (* a (- a 4)))
(fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)))
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(*.f64 a (*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) (/.f64 #s(literal -4 binary64) a)))))
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(*.f64 a (*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) (/.f64 #s(literal -4 binary64) a)))))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)))
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) a)) a)))
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) a)) a)))
4
#s(literal 4 binary64)
(+ 4 (* -4 a))
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))
(+ 4 (* -4 a))
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))
(+ 4 (* -4 a))
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))
(* -4 a)
(*.f64 #s(literal -4 binary64) a)
(* a (- (* 4 (/ 1 a)) 4))
(*.f64 a (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)))
(* a (- (* 4 (/ 1 a)) 4))
(*.f64 a (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)))
(* a (- (* 4 (/ 1 a)) 4))
(*.f64 a (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)))
(* -4 a)
(*.f64 #s(literal -4 binary64) a)
(* -1 (* a (- 4 (* 4 (/ 1 a)))))
(neg.f64 (*.f64 a (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) a))))
(* -1 (* a (- 4 (* 4 (/ 1 a)))))
(neg.f64 (*.f64 a (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) a))))
(* -1 (* a (- 4 (* 4 (/ 1 a)))))
(neg.f64 (*.f64 a (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) a))))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(fma.f64 (*.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 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #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))) 1)
(+.f64 #s(literal -1 binary64) (fma.f64 b (*.f64 b (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64)))) (*.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))))))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)) (*.f64 (*.f64 a a) (*.f64 a 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)
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(* (pow a 4) (- 1 (* 4 (/ 1 a))))
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(* (pow a 4) (- 1 (* 4 (/ 1 a))))
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(pow a 4)
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(pow a 4)
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(* (pow a 4) (- 1 (* 4 (/ 1 a))))
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(pow b 4)
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4
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(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 (fma.f64 (*.f64 b b) (/.f64 #s(literal 4 binary64) (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 a a)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a))))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)) (*.f64 (*.f64 a a) (*.f64 a 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) (*.f64 a a) (fma.f64 (*.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)
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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))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 (+.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64))))
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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))))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 (+.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (+.f64 a #s(literal 3 binary64)) (*.f64 b b))) (/.f64 (*.f64 (*.f64 a 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))))
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(* 3 (pow b 2))
(*.f64 b (*.f64 b #s(literal 3 binary64)))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(+ (* 3 (pow b 2)) (* a (+ a (pow b 2))))
(fma.f64 a a (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))))
(+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2))))
(fma.f64 a (-.f64 a (*.f64 a a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))))
(* -1 (pow a 3))
(neg.f64 (*.f64 a (*.f64 a a)))
(* (pow a 3) (- (/ 1 a) 1))
(*.f64 (*.f64 a a) (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64))))
(* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1))
(*.f64 (*.f64 a a) (*.f64 a (+.f64 #s(literal -1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 1 binary64) 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)) (+.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 1 binary64) a)) (fma.f64 (*.f64 b b) (/.f64 #s(literal 3 binary64) (*.f64 a (*.f64 a a))) #s(literal -1 binary64))))
(* -1 (pow a 3))
(neg.f64 (*.f64 a (*.f64 a a)))
(* -1 (* (pow a 3) (- 1 (/ 1 a))))
(*.f64 (*.f64 a a) (neg.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a)))))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a)))))
(*.f64 (neg.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)))))
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(* (pow a 2) (- 1 a))
(*.f64 a (-.f64 a (*.f64 a a)))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(fma.f64 a (-.f64 a (*.f64 a a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(fma.f64 a (-.f64 a (*.f64 a a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(fma.f64 a (-.f64 a (*.f64 a 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 (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 (-.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 a a) (*.f64 b b)) (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
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(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 (-.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 a a) (*.f64 b b)) (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
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(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
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(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
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(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
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(* b (+ 12 (* a (+ 4 (* 2 a)))))
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(pow b 3)
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(* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
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(pow b 3)
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(* b (+ 12 (pow b 2)))
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(+ (* 4 (* a b)) (* b (+ 12 (pow b 2))))
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(+ (* a (+ (* 2 (* a b)) (* 4 b))) (* b (+ 12 (pow b 2))))
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(+ (* a (+ (* 2 (* a b)) (* 4 b))) (* b (+ 12 (pow b 2))))
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(* 2 (* (pow a 2) b))
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(* (pow a 2) (+ (* 2 b) (* 4 (/ b a))))
(*.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) (/.f64 b a) (*.f64 #s(literal 2 binary64) b)))
(* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (/ (* b (+ 12 (pow b 2))) (pow a 2)))))
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(* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (/ (* b (+ 12 (pow b 2))) (pow a 2)))))
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(* 2 (* (pow a 2) b))
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(* (pow a 2) (+ (* 2 b) (* 4 (/ b a))))
(*.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) (/.f64 b a) (*.f64 #s(literal 2 binary64) b)))
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-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 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1)
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)) (*.f64 (*.f64 a a) (*.f64 a a)))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
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(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4)))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) (/.f64 #s(literal -4 binary64) a))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)) (*.f64 (*.f64 a a) (*.f64 a a)))
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) a)) a)) (*.f64 (*.f64 a a) (*.f64 a a)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a))))
(*.f64 (*.f64 (*.f64 a 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)))
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#s(literal -1 binary64)
(- (* (pow b 2) (+ 12 (* 4 a))) 1)
(fma.f64 b (*.f64 b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal -1 binary64))
(- (* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2)))) 1)
(fma.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))
(- (* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2)))) 1)
(fma.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) a (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 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 12 binary64) (*.f64 b b)))))
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(* (pow b 4) (- (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 #s(literal 4 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 12 binary64) (*.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 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 12 binary64) (*.f64 b b)))))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 #s(literal 4 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 12 binary64) (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 #s(literal 4 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 12 binary64) (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))
(- (* (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))
(- (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(fma.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))
(- (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(fma.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))
(- (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(fma.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))
(* 4 (* a (pow b 2)))
(*.f64 #s(literal 4 binary64) (*.f64 a (*.f64 b b)))
(* a (- (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a)) (/ 1 a)))
(*.f64 a (fma.f64 #s(literal 4 binary64) (*.f64 b b) (/.f64 (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) a)))
(* a (- (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a)) (/ 1 a)))
(*.f64 a (fma.f64 #s(literal 4 binary64) (*.f64 b b) (/.f64 (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) a)))
(* a (- (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a)) (/ 1 a)))
(*.f64 a (fma.f64 #s(literal 4 binary64) (*.f64 b b) (/.f64 (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) a)))
(* 4 (* a (pow b 2)))
(*.f64 #s(literal 4 binary64) (*.f64 a (*.f64 b b)))
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (- (* (pow b 2) (+ 12 (pow b 2))) 1) a)))))
(*.f64 a (fma.f64 #s(literal 4 binary64) (*.f64 b b) (/.f64 (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) a)))
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (- (* (pow b 2) (+ 12 (pow b 2))) 1) a)))))
(*.f64 a (fma.f64 #s(literal 4 binary64) (*.f64 b b) (/.f64 (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) a)))
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (- (* (pow b 2) (+ 12 (pow b 2))) 1) a)))))
(*.f64 a (fma.f64 #s(literal 4 binary64) (*.f64 b b) (/.f64 (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) a)))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* 3 (pow b 2))
(*.f64 b (*.f64 b #s(literal 3 binary64)))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* a (pow b 2))
(*.f64 a (*.f64 b b))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(*.f64 a (fma.f64 b b (/.f64 (*.f64 b (*.f64 b #s(literal 3 binary64))) a)))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(*.f64 a (fma.f64 b b (/.f64 (*.f64 b (*.f64 b #s(literal 3 binary64))) a)))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(*.f64 a (fma.f64 b b (/.f64 (*.f64 b (*.f64 b #s(literal 3 binary64))) a)))
(* a (pow b 2))
(*.f64 a (*.f64 b b))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(*.f64 a (fma.f64 b b (/.f64 (*.f64 b (*.f64 b #s(literal 3 binary64))) a)))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(*.f64 a (fma.f64 b b (/.f64 (*.f64 b (*.f64 b #s(literal 3 binary64))) a)))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(*.f64 a (fma.f64 b b (/.f64 (*.f64 b (*.f64 b #s(literal 3 binary64))) a)))

rewrite353.0ms (3.8%)

Memory
-8.7MiB live, 240.5MiB allocated
Rules
5 522×lower-fma.f32
5 486×lower-fma.f64
4 538×lower-*.f32
4 520×lower-*.f64
3 424×lower-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056442
0101412
1543408
24620408
08841396
Stop Event
iter limit
node limit
iter limit
Counts
24 → 634
Calls
Call 1
Inputs
(fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)))
(fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 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))))
(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)))
#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 (*.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)))
#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 #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))))
(*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))))
(/.f64 #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)))
(fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))))
(*.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))
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal -1 binary64))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
Outputs
(+.f64 #s(literal 4 binary64) (fma.f64 a a (*.f64 a #s(literal -4 binary64))))
(+.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (*.f64 a a))
(+.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))
(+.f64 (*.f64 a #s(literal -4 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 a a)))
(+.f64 (fma.f64 a a (*.f64 a #s(literal -4 binary64))) #s(literal 4 binary64))
(+.f64 (fma.f64 a a #s(literal 4 binary64)) (*.f64 a #s(literal -4 binary64)))
(-.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 1 binary64) a)) #s(literal 16 binary64)) (-.f64 (*.f64 a a) (fma.f64 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 #s(literal -4 binary64) (+.f64 #s(literal 4 binary64) (*.f64 a a)))
(fma.f64 #s(literal 4 binary64) (neg.f64 a) (+.f64 #s(literal 4 binary64) (*.f64 a a)))
(fma.f64 (neg.f64 a) #s(literal 4 binary64) (+.f64 #s(literal 4 binary64) (*.f64 a a)))
(fma.f64 #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 #s(literal -1 binary64) (*.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 a a)))
(fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a))
(fma.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 64 binary64) #s(literal 64 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 a a) #s(literal 16 binary64) #s(literal 16 binary64)) (*.f64 (neg.f64 a) #s(literal 16 binary64)))) (*.f64 a a))
(fma.f64 (fma.f64 (*.f64 a a) #s(literal 16 binary64) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal -4 binary64) #s(literal -4 binary64))) (*.f64 a a))
(fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a)))
(fma.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 1 binary64) a)) (-.f64 #s(literal 1 binary64) a)) #s(literal 64 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 (fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))))))
(/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 1 binary64) a)) (-.f64 #s(literal 1 binary64) a)) #s(literal 64 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (fma.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))))
(/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 1 binary64) a)) (-.f64 #s(literal 1 binary64) a)) #s(literal 64 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 1 binary64) a)) #s(literal 16 binary64) (-.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (*.f64 a a)))))
(/.f64 (*.f64 (fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))) (-.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 1 binary64) a)) (-.f64 #s(literal 1 binary64) a)) #s(literal 64 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (neg.f64 (fma.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))))) (neg.f64 (-.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))))
(/.f64 (fma.f64 (*.f64 (fma.f64 a a (*.f64 a #s(literal -4 binary64))) (fma.f64 a a (*.f64 a #s(literal -4 binary64)))) (fma.f64 a a (*.f64 a #s(literal -4 binary64))) #s(literal 64 binary64)) (fma.f64 (fma.f64 a a (*.f64 a #s(literal -4 binary64))) (fma.f64 a a (*.f64 a #s(literal -4 binary64))) (-.f64 #s(literal 16 binary64) (*.f64 (fma.f64 a a (*.f64 a #s(literal -4 binary64))) #s(literal 4 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 1 binary64) a)) #s(literal 16 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (-.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (*.f64 a a)))
(/.f64 (-.f64 (*.f64 (fma.f64 a a (*.f64 a #s(literal -4 binary64))) (fma.f64 a a (*.f64 a #s(literal -4 binary64)))) #s(literal 16 binary64)) (-.f64 (fma.f64 a a (*.f64 a #s(literal -4 binary64))) #s(literal 4 binary64)))
(pow.f64 (/.f64 (fma.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 1 binary64) a)) (-.f64 #s(literal 1 binary64) a)) #s(literal 64 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 (fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 1 binary64) a)) (-.f64 #s(literal 1 binary64) a)) #s(literal 64 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a))))))
(*.f64 (*.f64 (fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))))
(+.f64 #s(literal 4 binary64) (*.f64 a #s(literal -4 binary64)))
(+.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))
(-.f64 #s(literal 4 binary64) (*.f64 a #s(literal 4 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64)) (fma.f64 a #s(literal -4 binary64) #s(literal -4 binary64))) (/.f64 #s(literal 16 binary64) (fma.f64 a #s(literal -4 binary64) #s(literal -4 binary64))))
(fma.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 (neg.f64 a) #s(literal 4 binary64) #s(literal 4 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 a a) #s(literal 16 binary64) #s(literal 16 binary64)) (*.f64 (neg.f64 a) #s(literal 16 binary64))) (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 64 binary64) #s(literal 64 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a #s(literal -4 binary64) #s(literal -4 binary64)) (fma.f64 (*.f64 a a) #s(literal 16 binary64) #s(literal -16 binary64))))
(/.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 64 binary64) #s(literal 64 binary64)) (-.f64 (fma.f64 (*.f64 a a) #s(literal 16 binary64) #s(literal 16 binary64)) (*.f64 (neg.f64 a) #s(literal 16 binary64))))
(/.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 64 binary64) #s(literal 64 binary64)) (+.f64 #s(literal 16 binary64) (-.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64)) (*.f64 (neg.f64 a) #s(literal 16 binary64)))))
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(/.f64 (fma.f64 b (*.f64 (*.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (*.f64 b (*.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))))) #s(literal -1 binary64)) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))))) (*.f64 b (*.f64 (*.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (*.f64 b (*.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))))))) #s(literal -1 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 b b) (*.f64 (*.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (*.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))))) #s(literal 1 binary64)) (*.f64 b (*.f64 (*.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (fma.f64 b (*.f64 (*.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (*.f64 b (*.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))))) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (*.f64 (*.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (*.f64 b (*.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))))))) (-.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 b b) (*.f64 (*.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (*.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))))) #s(literal 1 binary64)) (*.f64 b (*.f64 (*.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) #s(literal -1 binary64)))) (fma.f64 (*.f64 b (*.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))))) (*.f64 b (*.f64 (*.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (*.f64 b (*.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))))))) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) #s(literal 1 binary64)) (fma.f64 b (*.f64 (*.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (*.f64 b (*.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))))) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 b (*.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))))) (*.f64 b (*.f64 (*.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (*.f64 b (*.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 b b) (*.f64 (*.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (*.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))))) #s(literal 1 binary64)) (*.f64 b (*.f64 (*.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) #s(literal -1 binary64))))))
(*.f64 (fma.f64 b (*.f64 (*.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (*.f64 b (*.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) #s(literal 1 binary64))))
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 b b)) (*.f64 a (*.f64 b b)))
(+.f64 (*.f64 a (*.f64 b b)) (*.f64 #s(literal 3 binary64) (*.f64 b b)))
(fma.f64 a (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 b b)))
(fma.f64 b (*.f64 a b) (*.f64 #s(literal 3 binary64) (*.f64 b b)))
(fma.f64 b (*.f64 b #s(literal 3 binary64)) (*.f64 a (*.f64 b b)))
(fma.f64 #s(literal 3 binary64) (*.f64 b b) (*.f64 a (*.f64 b b)))
(fma.f64 (*.f64 b b) a (*.f64 #s(literal 3 binary64) (*.f64 b b)))
(fma.f64 (*.f64 b b) #s(literal 3 binary64) (*.f64 a (*.f64 b b)))
(fma.f64 (*.f64 a b) b (*.f64 #s(literal 3 binary64) (*.f64 b b)))
(fma.f64 (*.f64 b #s(literal 3 binary64)) b (*.f64 a (*.f64 b b)))
(/.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 27 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 b b)) (*.f64 #s(literal 3 binary64) (*.f64 b b)) (-.f64 (*.f64 (*.f64 a (*.f64 b b)) (*.f64 a (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 b b)) (*.f64 a (*.f64 b b))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 b b)) (*.f64 #s(literal 3 binary64) (*.f64 b b))) (*.f64 (*.f64 a (*.f64 b b)) (*.f64 a (*.f64 b b)))) (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 b b)) (*.f64 a (*.f64 b b))))
(/.f64 (*.f64 (*.f64 b b) (fma.f64 a (*.f64 a a) #s(literal 27 binary64))) (fma.f64 a (+.f64 a #s(literal -3 binary64)) #s(literal 9 binary64)))
(/.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) (-.f64 #s(literal 9 binary64) (*.f64 a a))) (-.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 (*.f64 b b) (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 (*.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 (-.f64 #s(literal 9 binary64) (*.f64 a a)) (*.f64 b b)) (-.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 (fma.f64 a a #s(literal -9 binary64)) (*.f64 b b)) (+.f64 a #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)

eval220.0ms (2.3%)

Memory
-1.5MiB live, 186.9MiB allocated
Compiler

Compiled 51 912 to 2 381 computations (95.4% saved)

prune233.0ms (2.5%)

Memory
17.7MiB live, 259.9MiB allocated
Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New1 167151 182
Fresh617
Picked325
Done000
Total1 176181 194
Accuracy
100.0%
Counts
1 194 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
15.1%
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)))) (*.f64 (+.f64 a b) (-.f64 a b)))) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal -1 binary64)))
43.2%
(/.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))))))
46.3%
#s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (*.f64 (*.f64 a a) (*.f64 a a)))
43.2%
#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))))
65.8%
#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)))
43.2%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b #s(literal -12 binary64))) (/.f64 #s(literal 144 binary64) (fma.f64 b b #s(literal -12 binary64)))) #s(literal -1 binary64)))
65.4%
#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)))
48.2%
#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)))
51.1%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (/.f64 (*.f64 (*.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (-.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) b) (-.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))))
75.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 (*.f64 a a) (*.f64 a a)))))
87.1%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64))))
84.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b #s(approx (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12))) (*.f64 (*.f64 a a) (-.f64 (*.f64 #s(literal 2 binary64) b) (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) (neg.f64 b) (*.f64 #s(literal -4 binary64) b)) a)))) (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))))
46.3%
#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)))
46.3%
#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))))
23.8%
#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) #s(literal -1 binary64)))
90.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)))))
69.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))))
52.3%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))))
Compiler

Compiled 766 to 368 computations (52% saved)

simplify340.0ms (3.6%)

Memory
-3.2MiB live, 467.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
#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)))
cost-diff5504
(pow.f64 a #s(literal 4 binary64))
cost-diff0
(*.f64 b (*.f64 b (*.f64 b b)))
cost-diff0
#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))))
cost-diff0
(/.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)))))
cost-diff1408
(/.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))))))
cost-diff0
(*.f64 a a)
cost-diff0
(*.f64 (*.f64 a a) (*.f64 a a))
cost-diff0
#s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -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
(*.f64 a a)
cost-diff0
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)))
cost-diff0
#s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (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) #s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)))))
Rules
25 074×lower-fma.f32
25 062×lower-fma.f64
4 604×lower-+.f32
4 602×lower-+.f64
3 040×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072533
097505
1267465
2758457
31892457
43796457
55584457
08346434
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)))))
#s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))))
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)))
(*.f64 a a)
a
(fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64))
(+.f64 #s(literal -4 binary64) a)
#s(literal -4 binary64)
#s(literal 4 binary64)
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))
(*.f64 b b)
b
(fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))
(fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))
#s(literal 2 binary64)
(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) #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 (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (*.f64 (*.f64 a a) (*.f64 a a)))
(*.f64 (*.f64 a a) (*.f64 a a))
(*.f64 a a)
a
(/.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))))))
#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)))))
#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 b (*.f64 b (*.f64 b b)))
b
(*.f64 b (*.f64 b b))
(*.f64 b b)
#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)))
(pow.f64 a #s(literal 4 binary64))
a
#s(literal 4 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) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)))))
#s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) #s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)))))
#s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))))
#s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))))
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)))
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)))
(*.f64 a a)
a
(fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64))
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))
(+.f64 #s(literal -4 binary64) a)
(+.f64 a #s(literal -4 binary64))
#s(literal -4 binary64)
#s(literal 4 binary64)
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))
(*.f64 b b)
b
(fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))
(fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))
#s(literal 2 binary64)
(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) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64)))
#s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -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 (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (*.f64 (*.f64 a a) (*.f64 a a)))
(*.f64 (*.f64 a a) (*.f64 a a))
(*.f64 a a)
a
(/.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))))))
#s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (*.f64 (*.f64 b b) (*.f64 b b)))
#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 #s(literal 1 binary64) #s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (*.f64 (*.f64 b b) (*.f64 b b))))
#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))))
#s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (*.f64 (*.f64 b b) (*.f64 b b)))
(*.f64 b (*.f64 b (*.f64 b b)))
(*.f64 (*.f64 b b) (*.f64 b b))
b
(*.f64 b (*.f64 b b))
(*.f64 b b)
#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)))
#s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (*.f64 (*.f64 a a) (*.f64 a a)))
(pow.f64 a #s(literal 4 binary64))
(*.f64 (*.f64 a a) (*.f64 a a))
a
#s(literal 4 binary64)

localize143.0ms (1.5%)

Memory
-7.1MiB live, 240.0MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0
(pow.f64 a #s(literal 4 binary64))
accuracy34.37142018978635
#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)))
accuracy0.0703125
(*.f64 b (*.f64 b (*.f64 b b)))
accuracy0.0859375
(*.f64 b (*.f64 b b))
accuracy0.38032070150141484
(/.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)))))
accuracy36.31219036304226
#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))))
accuracy0
(*.f64 a a)
accuracy0.139003759768442
(*.f64 (*.f64 a a) (*.f64 a a))
accuracy34.37142018978635
#s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (*.f64 (*.f64 a a) (*.f64 a a)))
accuracy21.841816112385498
#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)))
accuracy32.60642700623903
#s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64))
accuracy0
#s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))))
accuracy0.00390625
(fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))
accuracy0.025722509768442016
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)))
accuracy7.4753354229213365
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))
Samples
98.0ms256×0valid
Compiler

Compiled 414 to 67 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 80.0ms
ival-mult: 36.0ms (44.8% of total)
ival-add: 25.0ms (31.1% of total)
ival-pow2: 9.0ms (11.2% of total)
ival-pow: 4.0ms (5% of total)
ival-div: 3.0ms (3.7% of total)
ival-sub: 2.0ms (2.5% of total)
exact: 1.0ms (1.2% of total)
ival-neg: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series26.0ms (0.3%)

Memory
-11.1MiB live, 27.1MiB allocated
Counts
17 → 336
Calls
Call 1
Inputs
#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) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (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) #s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)))) (patch #s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))) (patch (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))) #<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) #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 (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (*.f64 (*.f64 a a) (*.f64 a a))) (patch #s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -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 #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)))))) (patch (/.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)))))) #<representation binary64>) () ())
#s(alt (/.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))))) (patch (/.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))))) #<representation binary64>) () ())
#s(alt #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)))) (patch #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)))) #<representation binary64>) () ())
#s(alt (*.f64 b (*.f64 b (*.f64 b b))) (patch (*.f64 b (*.f64 b (*.f64 b b))) #<representation binary64>) () ())
#s(alt (pow.f64 a #s(literal 4 binary64)) (patch (pow.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) (pow.f64 a #s(literal 4 binary64))) (patch #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))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (patch (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())
Outputs
#s(alt (- (+ (* 12 (pow b 2)) (pow b 4)) 1) (taylor 0 a) (#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) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (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) #s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 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 #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (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) #s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 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 #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (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) #s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
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#s(alt (* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (+ (/ 12 (pow a 2)) (/ (pow b 2) (pow a 2)))))) (taylor inf a) (#s(alt (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (patch (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (+ (/ 12 (pow a 2)) (/ (pow b 2) (pow a 2)))))) (taylor inf a) (#s(alt (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (patch (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow a 2)) (taylor -inf a) (#s(alt (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (patch (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 2 (* 4 (/ 1 a)))) (taylor -inf a) (#s(alt (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (patch (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 12 (pow b 2)) a)) 4) a)))) (taylor -inf a) (#s(alt (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (patch (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 12 (pow b 2)) a)) 4) a)))) (taylor -inf a) (#s(alt (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (patch (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 12 (* a (+ 4 (* 2 a)))) (taylor 0 b) (#s(alt (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (patch (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))) (taylor 0 b) (#s(alt (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (patch (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))) (taylor 0 b) (#s(alt (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (patch (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))) (taylor 0 b) (#s(alt (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (patch (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor inf b) (#s(alt (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (patch (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) (taylor inf b) (#s(alt (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (patch (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) (taylor inf b) (#s(alt (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (patch (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) (taylor inf b) (#s(alt (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (patch (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor -inf b) (#s(alt (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (patch (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) (taylor -inf b) (#s(alt (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (patch (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) (taylor -inf b) (#s(alt (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (patch (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) (taylor -inf b) (#s(alt (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (patch (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor 0 b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor 0 b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor 0 b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor 0 b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor inf b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor inf b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor inf b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor inf b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor -inf b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor -inf b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor -inf b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor -inf b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ())
Calls

84 calls:

TimeVariablePointExpression
0.0ms
b
@0
(+ (* (* a a) (+ (* a (+ -4 a)) 4)) (+ (* (* b b) (+ (* a (+ (* a 2) 4)) (+ (* b b) 12))) -1))
0.0ms
b
@0
(* b (* b b))
0.0ms
b
@inf
(+ (* (* a a) (+ (* a (+ -4 a)) 4)) (+ (* (* b b) (+ (* a (+ (* a 2) 4)) (+ (* b b) 12))) -1))
0.0ms
a
@inf
(+ (* (* b b) (+ (* a (+ (* a 2) 4)) (+ (* b b) 12))) -1)
0.0ms
b
@0
(* b (* b (* b b)))

simplify253.0ms (2.7%)

Memory
18.8MiB live, 340.3MiB allocated
Algorithm
egg-herbie
Rules
10 632×lower-fma.f64
10 632×lower-fma.f32
4 558×lower-*.f64
4 558×lower-*.f32
3 794×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03467598
110997310
239607095
081026435
Stop Event
iter limit
node limit
Counts
336 → 336
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))))
(- (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4))))
(- (* (pow b 2) (+ 12 (pow b 2))) 1)
(- (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(- (* (pow b 2) (+ 12 (pow b 2))) 1)
(- (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1)
(- (+ (* (pow a 2) (+ 4 (* a (- a 4)))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1)
(- (+ (* (pow a 2) (+ 4 (* a (- a 4)))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1)
(- (+ (* (pow a 2) (+ 4 (* a (- a 4)))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (* a (- a 4)))) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (* a (- a 4)))) (pow b 4))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (* a (- a 4)))) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (* a (- a 4)))) (pow b 4))))) (/ 1 (pow b 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))))
(- (+ (* 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)
(- (+ (* 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))
(- (+ (* 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 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(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)
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
-1
(- (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a))))) 1)
(- (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))) 1)
(- (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))) (/ 1 (pow b 4))))
(- (* (pow b 2) (+ 12 (pow b 2))) 1)
(- (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(- (+ (* a (+ (* 2 (* a (pow b 2))) (* 4 (pow b 2)))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(- (+ (* a (+ (* 2 (* a (pow b 2))) (* 4 (pow b 2)))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a))))
(* (pow a 2) (- (+ (* 2 (pow b 2)) (+ (* 4 (/ (pow b 2) a)) (/ (* (pow b 2) (+ 12 (pow b 2))) (pow a 2)))) (/ 1 (pow a 2))))
(* (pow a 2) (- (+ (* 2 (pow b 2)) (+ (* 4 (/ (pow b 2) a)) (/ (* (pow b 2) (+ 12 (pow b 2))) (pow a 2)))) (/ 1 (pow a 2))))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a))))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 (pow b 2)) (* -1 (/ (- (* (pow b 2) (+ 12 (pow b 2))) 1) a))) a)) (* 2 (pow b 2))))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 (pow b 2)) (* -1 (/ (- (* (pow b 2) (+ 12 (pow b 2))) 1) a))) a)) (* 2 (pow b 2))))
(+ 12 (pow b 2))
(+ 12 (+ (* 4 a) (pow b 2)))
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))
(* 2 (pow a 2))
(* (pow a 2) (+ 2 (* 4 (/ 1 a))))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (+ (/ 12 (pow a 2)) (/ (pow b 2) (pow a 2))))))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (+ (/ 12 (pow a 2)) (/ (pow b 2) (pow a 2))))))
(* 2 (pow a 2))
(* (pow a 2) (+ 2 (* 4 (/ 1 a))))
(* (pow a 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 12 (pow b 2)) a)) 4) a))))
(* (pow a 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 12 (pow b 2)) a)) 4) a))))
(+ 12 (* a (+ 4 (* 2 a))))
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))
(pow b 2)
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
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 a (fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)))) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(+.f64 (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (*.f64 (fma.f64 a #s(literal -4 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) (*.f64 a a))) #s(literal -1 binary64))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 (*.f64 a 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 (*.f64 a a) (*.f64 a a)) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) (/.f64 #s(literal 4 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a))))
(pow a 4)
(*.f64 (*.f64 a 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 b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
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(pow b 4)
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(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
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(pow b 4)
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(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
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(- (* (pow b 2) (+ 12 (pow b 2))) 1)
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(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
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(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
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(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
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(- (* (pow b 2) (+ 12 (pow b 2))) 1)
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(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
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(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
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(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
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(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
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(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
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(- (* (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 2) (+ 4 (* a (- a 4)))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1)
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(- (+ (* (pow a 2) (+ 4 (* a (- a 4)))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1)
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(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))))
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(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (* a (- a 4)))) (pow b 4))))) (/ 1 (pow b 4))))
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(pow b 4)
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(pow a 2)
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(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
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(pow a 4)
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(* (pow a 4) (- 1 (* 4 (/ 1 a))))
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(pow b 4)
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(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
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(* (pow 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 (/ (+ 3 a) (pow b 2))))))
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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 b 4) (+ 1 (* 12 (/ 1 (pow b 2)))))
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(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)))
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(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) 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)
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(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) (-.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (/.f64 a (*.f64 b b)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))
(- (* (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))
(- (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) 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))
(- (+ (* a (+ (* 2 (* a (pow b 2))) (* 4 (pow b 2)))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))
(- (+ (* a (+ (* 2 (* a (pow b 2))) (* 4 (pow b 2)))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))
(* 2 (* (pow a 2) (pow b 2)))
(*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 (*.f64 b b) a)))
(* (pow a 2) (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a))))
(*.f64 (*.f64 a a) (*.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a))))
(* (pow a 2) (- (+ (* 2 (pow b 2)) (+ (* 4 (/ (pow b 2) a)) (/ (* (pow b 2) (+ 12 (pow b 2))) (pow a 2)))) (/ 1 (pow a 2))))
(*.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (fma.f64 (/.f64 (*.f64 b b) a) (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 b b #s(literal 12 binary64)) a)) (/.f64 #s(literal -1 binary64) (*.f64 a a)))))
(* (pow a 2) (- (+ (* 2 (pow b 2)) (+ (* 4 (/ (pow b 2) a)) (/ (* (pow b 2) (+ 12 (pow b 2))) (pow a 2)))) (/ 1 (pow a 2))))
(*.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (fma.f64 (/.f64 (*.f64 b b) a) (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 b b #s(literal 12 binary64)) a)) (/.f64 #s(literal -1 binary64) (*.f64 a a)))))
(* 2 (* (pow a 2) (pow b 2)))
(*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 (*.f64 b b) a)))
(* (pow a 2) (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a))))
(*.f64 (*.f64 a a) (*.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a))))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 (pow b 2)) (* -1 (/ (- (* (pow b 2) (+ 12 (pow b 2))) 1) a))) a)) (* 2 (pow b 2))))
(*.f64 (*.f64 a a) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) (/.f64 (-.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)) a)) a)))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 (pow b 2)) (* -1 (/ (- (* (pow b 2) (+ 12 (pow b 2))) 1) a))) a)) (* 2 (pow b 2))))
(*.f64 (*.f64 a a) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) (/.f64 (-.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)) a)) a)))
(+ 12 (pow b 2))
(fma.f64 b b #s(literal 12 binary64))
(+ 12 (+ (* 4 a) (pow b 2)))
(fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))
(* 2 (pow a 2))
(*.f64 #s(literal 2 binary64) (*.f64 a a))
(* (pow a 2) (+ 2 (* 4 (/ 1 a))))
(*.f64 a (*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a))))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (+ (/ 12 (pow a 2)) (/ (pow b 2) (pow a 2))))))
(*.f64 (*.f64 a a) (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) (/.f64 #s(literal 12 binary64) (*.f64 a a))) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 2 binary64))))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (+ (/ 12 (pow a 2)) (/ (pow b 2) (pow a 2))))))
(*.f64 (*.f64 a a) (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) (/.f64 #s(literal 12 binary64) (*.f64 a a))) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 2 binary64))))
(* 2 (pow a 2))
(*.f64 #s(literal 2 binary64) (*.f64 a a))
(* (pow a 2) (+ 2 (* 4 (/ 1 a))))
(*.f64 a (*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a))))
(* (pow a 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 12 (pow b 2)) a)) 4) a))))
(*.f64 (*.f64 a a) (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 b b #s(literal 12 binary64)) a)) a)))
(* (pow a 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 12 (pow b 2)) a)) 4) a))))
(*.f64 (*.f64 a a) (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 b b #s(literal 12 binary64)) a)) a)))
(+ 12 (* a (+ 4 (* 2 a))))
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(*.f64 b (fma.f64 b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 12 binary64) (*.f64 b b))) b))
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(*.f64 b (fma.f64 b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 12 binary64) (*.f64 b b))) b))
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(*.f64 b (fma.f64 b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 12 binary64) (*.f64 b b))) b))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(*.f64 b (fma.f64 b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 12 binary64) (*.f64 b b))) b))
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(*.f64 b (fma.f64 b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 12 binary64) (*.f64 b b))) b))
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(*.f64 b (fma.f64 b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 12 binary64) (*.f64 b b))) b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))

rewrite311.0ms (3.3%)

Memory
7.0MiB live, 247.5MiB allocated
Rules
5 610×lower-fma.f32
5 598×lower-fma.f64
4 268×lower-*.f32
4 258×lower-*.f64
3 314×lower-pow.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072494
097450
1595418
24980418
09145388
Stop Event
iter limit
node limit
iter limit
Counts
17 → 243
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) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)))))
#s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))))
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)))
(*.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) #s(literal -1 binary64)))
#s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64))
#s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (*.f64 (*.f64 a a) (*.f64 a a)))
(*.f64 (*.f64 a a) (*.f64 a a))
(/.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 #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)))))
#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 b (*.f64 b (*.f64 b b)))
(pow.f64 a #s(literal 4 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 a #s(literal 4 binary64)))
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))
(fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))
(*.f64 b (*.f64 b b))
Outputs
#s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) #s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (fma.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))))
#s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (fma.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))))
(+.f64 #s(literal -1 binary64) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))))))
(+.f64 (fma.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))))
(+.f64 (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a)))
(+.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a)) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))) (fma.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(+.f64 (*.f64 (+.f64 a #s(literal -4 binary64)) (*.f64 a (*.f64 a a))) (fma.f64 a (*.f64 a #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))))
(+.f64 (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))))) #s(literal -1 binary64))
(+.f64 (+.f64 (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 a #s(literal -4 binary64)) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 4 binary64) (*.f64 a a)))
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a)) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a))) (-.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a)) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)))) (/.f64 (*.f64 (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))) (-.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a)) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))))) (-.f64 (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))) (fma.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))) (/.f64 (*.f64 (fma.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #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))) (-.f64 (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 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 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)))
(fma.f64 a (*.f64 a (*.f64 a (+.f64 a #s(literal -4 binary64)))) (fma.f64 a (*.f64 a #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))))
(fma.f64 a (*.f64 (+.f64 a #s(literal -4 binary64)) (*.f64 a a)) (fma.f64 a (*.f64 a #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))))
(fma.f64 b (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 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 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 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 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))) b (fma.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(fma.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)))
(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 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)))
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(/.f64 (fma.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (-.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b)))))
(/.f64 (fma.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))))
(/.f64 (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 (fma.f64 b b #s(literal 12 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)))))) (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (-.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)))) (*.f64 (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))))))
(/.f64 (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 (fma.f64 b b #s(literal 12 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)))))) (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (fma.f64 b b #s(literal 12 binary64)) (-.f64 (*.f64 (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)))) (*.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 a (fma.f64 b b #s(literal 12 binary64)))))))
(/.f64 (*.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (-.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) (-.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))
(/.f64 (*.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (-.f64 (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))) (fma.f64 b b #s(literal 12 binary64)))) (-.f64 (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))) (fma.f64 b b #s(literal 12 binary64))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (neg.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (-.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (-.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))) (neg.f64 (-.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 (fma.f64 b b #s(literal 12 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))))))) (neg.f64 (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (-.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)))) (*.f64 (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (-.f64 (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))) (fma.f64 b b #s(literal 12 binary64))))) (neg.f64 (-.f64 (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))) (fma.f64 b b #s(literal 12 binary64)))))
(/.f64 (fma.f64 (*.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b)) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b))) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1728 binary64)) (fma.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b)) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b)) (-.f64 #s(literal 144 binary64) (*.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b)) #s(literal 12 binary64)))))
(/.f64 (-.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))))) (-.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)))))
(/.f64 (-.f64 (*.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b)))
(/.f64 (-.f64 (*.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b)) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b))) #s(literal 144 binary64)) (-.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b)) #s(literal 12 binary64)))
(pow.f64 (/.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (-.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b)))) (fma.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (-.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (-.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)))) (*.f64 (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))))) (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 (fma.f64 b b #s(literal 12 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))) (fma.f64 b b #s(literal 12 binary64))) (*.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (-.f64 (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))) (fma.f64 b b #s(literal 12 binary64))))) #s(literal -1 binary64))
(*.f64 (fma.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (-.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b))))))
(*.f64 (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 (fma.f64 b b #s(literal 12 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (-.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)))) (*.f64 (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)))))))
(*.f64 (*.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (-.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))))
(*.f64 (*.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (-.f64 (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))) (fma.f64 b b #s(literal 12 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))) (fma.f64 b b #s(literal 12 binary64)))))
(exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)) #s(literal 3/2 binary64)))
(pow.f64 b #s(literal 3 binary64))
(pow.f64 (*.f64 b b) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 b #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 3 binary64))
(*.f64 b (*.f64 b b))
(*.f64 (*.f64 b b) b)
(*.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)))

eval147.0ms (1.6%)

Memory
-23.2MiB live, 89.9MiB allocated
Compiler

Compiled 20 332 to 976 computations (95.2% saved)

prune142.0ms (1.5%)

Memory
-9.5MiB live, 116.8MiB allocated
Pruning

19 alts after pruning (12 fresh and 7 done)

PrunedKeptTotal
New6152617
Fresh11011
Picked055
Done022
Total61619635
Accuracy
100.0%
Counts
635 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
15.1%
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)))) (*.f64 (+.f64 a b) (-.f64 a b)))) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal -1 binary64)))
43.2%
(/.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)) (pow.f64 b #s(literal 4 binary64)))))
43.2%
(/.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))))))
46.3%
#s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (*.f64 (*.f64 a a) (*.f64 a a)))
43.2%
#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))))
65.8%
#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)))
43.2%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b #s(literal -12 binary64))) (/.f64 #s(literal 144 binary64) (fma.f64 b b #s(literal -12 binary64)))) #s(literal -1 binary64)))
65.4%
#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)))
48.2%
#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)))
51.1%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (/.f64 (*.f64 (*.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (-.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) b) (-.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))))
75.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 (*.f64 a a) (*.f64 a a)))))
87.1%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64))))
84.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b #s(approx (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12))) (*.f64 (*.f64 a a) (-.f64 (*.f64 #s(literal 2 binary64) b) (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) (neg.f64 b) (*.f64 #s(literal -4 binary64) b)) a)))) (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))))
46.3%
#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)))
46.3%
#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))))
23.8%
#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) #s(literal -1 binary64)))
69.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))))
90.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)))))
52.3%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))))
Compiler

Compiled 722 to 347 computations (51.9% saved)

simplify307.0ms (3.3%)

Memory
21.7MiB live, 221.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 b b)
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) (-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b #s(literal -12 binary64))) (/.f64 #s(literal 144 binary64) (fma.f64 b b #s(literal -12 binary64)))) #s(literal -1 binary64)))
cost-diff128
(-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b #s(literal -12 binary64))) (/.f64 #s(literal 144 binary64) (fma.f64 b b #s(literal -12 binary64))))
cost-diff1088
(fma.f64 (*.f64 b b) (-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b #s(literal -12 binary64))) (/.f64 #s(literal 144 binary64) (fma.f64 b b #s(literal -12 binary64)))) #s(literal -1 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 (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 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) #s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))))
cost-diff0
(*.f64 b b)
cost-diff0
(*.f64 b (*.f64 b b))
cost-diff0
(*.f64 b (*.f64 b (*.f64 b b)))
cost-diff0
#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))))
cost-diff0
(*.f64 a a)
cost-diff0
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
cost-diff0
#s(approx (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #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 (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))))
cost-diff0
(fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
cost-diff0
(*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))))
cost-diff0
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64))))
Rules
22 372×lower-fma.f32
22 354×lower-fma.f64
4 278×lower-+.f32
4 276×lower-+.f64
3 202×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
085605
0112582
1289538
2749538
32171528
44247518
56147518
08180497
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64))))
(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)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)))
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 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))
a
(fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 12 binary64)
#s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #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) #s(approx (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))))
#s(approx (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
#s(literal 4 binary64)
(*.f64 a a)
a
#s(literal -1 binary64)
#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))))
(*.f64 b (*.f64 b (*.f64 b b)))
b
(*.f64 b (*.f64 b b))
(*.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) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg 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))))
#s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 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)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b #s(literal -12 binary64))) (/.f64 #s(literal 144 binary64) (fma.f64 b b #s(literal -12 binary64)))) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) (-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b #s(literal -12 binary64))) (/.f64 #s(literal 144 binary64) (fma.f64 b b #s(literal -12 binary64)))) #s(literal -1 binary64))
(*.f64 b b)
b
(-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b #s(literal -12 binary64))) (/.f64 #s(literal 144 binary64) (fma.f64 b b #s(literal -12 binary64))))
(/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b #s(literal -12 binary64)))
(*.f64 b (*.f64 b (*.f64 b b)))
(*.f64 b (*.f64 b b))
(fma.f64 b b #s(literal -12 binary64))
#s(literal -12 binary64)
(/.f64 #s(literal 144 binary64) (fma.f64 b b #s(literal -12 binary64)))
#s(literal 144 binary64)
#s(literal -1 binary64)
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64))))
#s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64))))
(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)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)))
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 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))))
(fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
(fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))
(fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))
a
(fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64))
(fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 12 binary64)
#s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #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) #s(approx (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))))
#s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) #s(approx (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) (fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))))
#s(approx (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)))
#s(approx (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) (fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))
#s(literal 4 binary64)
(*.f64 a a)
a
#s(literal -1 binary64)
#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))))
(*.f64 b (*.f64 b (*.f64 b b)))
b
(*.f64 b (*.f64 b b))
(*.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) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg 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))))
#s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) #s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))))
#s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 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)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b #s(literal -12 binary64))) (/.f64 #s(literal 144 binary64) (fma.f64 b b #s(literal -12 binary64)))) #s(literal -1 binary64)))
#s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (fma.f64 (/.f64 (*.f64 b b) (fma.f64 b b #s(literal -12 binary64))) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) (-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b #s(literal -12 binary64))) (/.f64 #s(literal 144 binary64) (fma.f64 b b #s(literal -12 binary64)))) #s(literal -1 binary64))
(fma.f64 (/.f64 (*.f64 b b) (fma.f64 b b #s(literal -12 binary64))) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) #s(literal -1 binary64))
(*.f64 b b)
b
(-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b #s(literal -12 binary64))) (/.f64 #s(literal 144 binary64) (fma.f64 b b #s(literal -12 binary64))))
(fma.f64 b (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 b b #s(literal -12 binary64))) (/.f64 #s(literal -144 binary64) (fma.f64 b b #s(literal -12 binary64))))
(/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b #s(literal -12 binary64)))
(*.f64 b (*.f64 b (*.f64 b b)))
(*.f64 b (*.f64 b b))
(fma.f64 b b #s(literal -12 binary64))
#s(literal -12 binary64)
(/.f64 #s(literal 144 binary64) (fma.f64 b b #s(literal -12 binary64)))
#s(literal 144 binary64)
#s(literal -1 binary64)

localize235.0ms (2.5%)

Memory
-13.4MiB live, 152.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0859375
(*.f64 b (*.f64 b b))
accuracy0.47052322816213754
(/.f64 #s(literal 144 binary64) (fma.f64 b b #s(literal -12 binary64)))
accuracy17.914150072905215
(/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b #s(literal -12 binary64)))
accuracy21.841816112385498
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b #s(literal -12 binary64))) (/.f64 #s(literal 144 binary64) (fma.f64 b b #s(literal -12 binary64)))) #s(literal -1 binary64)))
accuracy0
(*.f64 a a)
accuracy0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))))
accuracy0.06869125976844201
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))
accuracy19.430415829632583
#s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))
accuracy0
(*.f64 b b)
accuracy0.0703125
(*.f64 b (*.f64 b (*.f64 b b)))
accuracy0.0859375
(*.f64 b (*.f64 b b))
accuracy36.31219036304226
#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))))
accuracy0
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
accuracy0
(*.f64 a a)
accuracy7.635671298150366
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))))
accuracy24.45767301604786
#s(approx (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)))
accuracy0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64))))
accuracy0.015625
(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)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)))
accuracy4.513108992743665
(*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))))
accuracy34.10452481068762
#s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64))
Samples
121.0ms248×0valid
4.0ms1valid
3.0ms2valid
Compiler

Compiled 467 to 76 computations (83.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 107.0ms
ival-mult: 49.0ms (45.9% of total)
ival-add: 42.0ms (39.3% of total)
ival-div: 6.0ms (5.6% of total)
ival-sub: 3.0ms (2.8% of total)
adjust: 2.0ms (1.9% of total)
ival-pow2: 2.0ms (1.9% of total)
exact: 1.0ms (0.9% of total)
ival-neg: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series61.0ms (0.7%)

Memory
-16.1MiB live, 25.5MiB allocated
Counts
21 → 372
Calls
Call 1
Inputs
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (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)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64))) (patch (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)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (patch (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #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) #s(approx (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #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 (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))) (patch #s(approx (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())
#s(alt #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)))) (patch #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)))) #<representation binary64>) () ())
#s(alt (*.f64 b (*.f64 b (*.f64 b b))) (patch (*.f64 b (*.f64 b (*.f64 b b))) #<representation binary64>) () ())
#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())
#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 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) #s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))) (patch #s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 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 (*.f64 b b) (-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b #s(literal -12 binary64))) (/.f64 #s(literal 144 binary64) (fma.f64 b b #s(literal -12 binary64)))) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 b b) (-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b #s(literal -12 binary64))) (/.f64 #s(literal 144 binary64) (fma.f64 b b #s(literal -12 binary64)))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b #s(literal -12 binary64))) (/.f64 #s(literal 144 binary64) (fma.f64 b b #s(literal -12 binary64)))) (patch (-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b #s(literal -12 binary64))) (/.f64 #s(literal 144 binary64) (fma.f64 b b #s(literal -12 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b #s(literal -12 binary64))) (/.f64 #s(literal 144 binary64) (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) (-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b #s(literal -12 binary64))) (/.f64 #s(literal 144 binary64) (fma.f64 b b #s(literal -12 binary64)))) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)) (patch #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b #s(literal -12 binary64))) (patch (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b #s(literal -12 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 144 binary64) (fma.f64 b b #s(literal -12 binary64))) (patch (/.f64 #s(literal 144 binary64) (fma.f64 b b #s(literal -12 binary64))) #<representation binary64>) () ())
Outputs
#s(alt (- (+ (* 12 (pow b 2)) (pow b 4)) 1) (taylor 0 a) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #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 #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #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 #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #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 #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor inf a) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (- 1 (* 4 (/ 1 a)))) (taylor inf a) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #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 #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #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 #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor -inf a) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (- 1 (* 4 (/ 1 a)))) (taylor -inf a) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) (taylor -inf a) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) (taylor -inf a) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* -1/12 (pow b 4)) (taylor 0 b) (#s(alt (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b #s(literal -12 binary64))) (patch (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b #s(literal -12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (- (* -1/144 (pow b 2)) 1/12)) (taylor 0 b) (#s(alt (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b #s(literal -12 binary64))) (patch (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b #s(literal -12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (- (* (pow b 2) (- (* -1/1728 (pow b 2)) 1/144)) 1/12)) (taylor 0 b) (#s(alt (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b #s(literal -12 binary64))) (patch (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b #s(literal -12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (- (* (pow b 2) (- (* (pow b 2) (- (* -1/20736 (pow b 2)) 1/1728)) 1/144)) 1/12)) (taylor 0 b) (#s(alt (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b #s(literal -12 binary64))) (patch (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b #s(literal -12 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor inf b) (#s(alt (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b #s(literal -12 binary64))) (patch (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b #s(literal -12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) (taylor inf b) (#s(alt (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b #s(literal -12 binary64))) (patch (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b #s(literal -12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ 144 (pow b 4))))) (taylor inf b) (#s(alt (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b #s(literal -12 binary64))) (patch (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b #s(literal -12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (* 1728 (/ 1 (pow b 6))) (/ 144 (pow b 4)))))) (taylor inf b) (#s(alt (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b #s(literal -12 binary64))) (patch (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b #s(literal -12 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor -inf b) (#s(alt (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b #s(literal -12 binary64))) (patch (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b #s(literal -12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) (taylor -inf b) (#s(alt (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b #s(literal -12 binary64))) (patch (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b #s(literal -12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ 144 (pow b 4))))) (taylor -inf b) (#s(alt (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b #s(literal -12 binary64))) (patch (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b #s(literal -12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (* 1728 (/ 1 (pow b 6))) (/ 144 (pow b 4)))))) (taylor -inf b) (#s(alt (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b #s(literal -12 binary64))) (patch (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b #s(literal -12 binary64))) #<representation binary64>) () ())) ())
#s(alt -12 (taylor 0 b) (#s(alt (/.f64 #s(literal 144 binary64) (fma.f64 b b #s(literal -12 binary64))) (patch (/.f64 #s(literal 144 binary64) (fma.f64 b b #s(literal -12 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (pow b 2)) 12) (taylor 0 b) (#s(alt (/.f64 #s(literal 144 binary64) (fma.f64 b b #s(literal -12 binary64))) (patch (/.f64 #s(literal 144 binary64) (fma.f64 b b #s(literal -12 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow b 2) (- (* -1/12 (pow b 2)) 1)) 12) (taylor 0 b) (#s(alt (/.f64 #s(literal 144 binary64) (fma.f64 b b #s(literal -12 binary64))) (patch (/.f64 #s(literal 144 binary64) (fma.f64 b b #s(literal -12 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow b 2) (- (* (pow b 2) (- (* -1/144 (pow b 2)) 1/12)) 1)) 12) (taylor 0 b) (#s(alt (/.f64 #s(literal 144 binary64) (fma.f64 b b #s(literal -12 binary64))) (patch (/.f64 #s(literal 144 binary64) (fma.f64 b b #s(literal -12 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 144 (pow b 2)) (taylor inf b) (#s(alt (/.f64 #s(literal 144 binary64) (fma.f64 b b #s(literal -12 binary64))) (patch (/.f64 #s(literal 144 binary64) (fma.f64 b b #s(literal -12 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 144 (* 1728 (/ 1 (pow b 2)))) (pow b 2)) (taylor inf b) (#s(alt (/.f64 #s(literal 144 binary64) (fma.f64 b b #s(literal -12 binary64))) (patch (/.f64 #s(literal 144 binary64) (fma.f64 b b #s(literal -12 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 144 (+ (* 1728 (/ 1 (pow b 2))) (/ 20736 (pow b 4)))) (pow b 2)) (taylor inf b) (#s(alt (/.f64 #s(literal 144 binary64) (fma.f64 b b #s(literal -12 binary64))) (patch (/.f64 #s(literal 144 binary64) (fma.f64 b b #s(literal -12 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 144 (+ (* 1728 (/ 1 (pow b 2))) (+ (* 248832 (/ 1 (pow b 6))) (/ 20736 (pow b 4))))) (pow b 2)) (taylor inf b) (#s(alt (/.f64 #s(literal 144 binary64) (fma.f64 b b #s(literal -12 binary64))) (patch (/.f64 #s(literal 144 binary64) (fma.f64 b b #s(literal -12 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 144 (pow b 2)) (taylor -inf b) (#s(alt (/.f64 #s(literal 144 binary64) (fma.f64 b b #s(literal -12 binary64))) (patch (/.f64 #s(literal 144 binary64) (fma.f64 b b #s(literal -12 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 144 (* 1728 (/ 1 (pow b 2)))) (pow b 2)) (taylor -inf b) (#s(alt (/.f64 #s(literal 144 binary64) (fma.f64 b b #s(literal -12 binary64))) (patch (/.f64 #s(literal 144 binary64) (fma.f64 b b #s(literal -12 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 144 (+ (* 1728 (/ 1 (pow b 2))) (/ 20736 (pow b 4)))) (pow b 2)) (taylor -inf b) (#s(alt (/.f64 #s(literal 144 binary64) (fma.f64 b b #s(literal -12 binary64))) (patch (/.f64 #s(literal 144 binary64) (fma.f64 b b #s(literal -12 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 144 (+ (* 1728 (/ 1 (pow b 2))) (+ (* 248832 (/ 1 (pow b 6))) (/ 20736 (pow b 4))))) (pow b 2)) (taylor -inf b) (#s(alt (/.f64 #s(literal 144 binary64) (fma.f64 b b #s(literal -12 binary64))) (patch (/.f64 #s(literal 144 binary64) (fma.f64 b b #s(literal -12 binary64))) #<representation binary64>) () ())) ())
Calls

93 calls:

TimeVariablePointExpression
1.0ms
a
@inf
(+ (* (* a a) (+ (* a (+ a -4)) 4)) -1)
1.0ms
b
@inf
(+ (* (* b b) (- (/ (* b (* b (* b b))) (+ (* b b) -12)) (/ 144 (+ (* b b) -12)))) -1)
0.0ms
b
@0
(+ (* (* b b) (- (/ (* b (* b (* b b))) (+ (* b b) -12)) (/ 144 (+ (* b b) -12)))) -1)
0.0ms
b
@inf
(- (/ (* b (* b (* b b))) (+ (* b b) -12)) (/ 144 (+ (* b b) -12)))
0.0ms
b
@0
(- (/ (* b (* b (* b b))) (+ (* b b) -12)) (/ 144 (+ (* b b) -12)))

simplify350.0ms (3.7%)

Memory
31.9MiB live, 299.9MiB allocated
Algorithm
egg-herbie
Rules
13 476×lower-fma.f64
13 476×lower-fma.f32
4 508×lower-+.f64
4 508×lower-+.f32
4 298×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03456525
110336305
231006091
366505836
082765215
Stop Event
iter limit
node limit
Counts
372 → 372
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))))
(- (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4))))
(- (* (pow b 2) (+ 12 (pow b 2))) 1)
(- (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))
(* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))
(* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))
(pow b 3)
(* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(pow b 3)
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) 1)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) 1)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) 1)))
(* b (+ 12 (pow b 2)))
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2))))
(+ (* a (+ (* 2 (* a b)) (* 4 b))) (* b (+ 12 (pow b 2))))
(+ (* a (+ (* 2 (* a b)) (* 4 b))) (* b (+ 12 (pow b 2))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* 2 b) (* 4 (/ b a))))
(* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (/ (* b (+ 12 (pow b 2))) (pow a 2)))))
(* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (/ (* b (+ 12 (pow b 2))) (pow a 2)))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* 2 b) (* 4 (/ b a))))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))) a)) (* 2 b)))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))) a)) (* 2 b)))
(+ 12 (* a (+ 4 (* 2 a))))
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))
(pow b 2)
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(+ 12 (pow b 2))
(+ 12 (+ (* 4 a) (pow b 2)))
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))
(* 2 (pow a 2))
(* (pow a 2) (+ 2 (* 4 (/ 1 a))))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (+ (/ 12 (pow a 2)) (/ (pow b 2) (pow a 2))))))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (+ (/ 12 (pow a 2)) (/ (pow b 2) (pow a 2))))))
(* 2 (pow a 2))
(* (pow a 2) (+ 2 (* 4 (/ 1 a))))
(* (pow a 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 12 (pow b 2)) a)) 4) a))))
(* (pow a 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 12 (pow b 2)) a)) 4) a))))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(- (* (pow b 2) (+ 12 (pow b 2))) 1)
(- (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(* (pow a 2) (+ 4 (* 2 (pow b 2))))
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))))
(* (pow a 2) (- (+ 4 (+ (* 2 (pow b 2)) (+ (* 4 (/ (pow b 2) a)) (/ (* (pow b 2) (+ 12 (pow b 2))) (pow a 2))))) (/ 1 (pow a 2))))
(* (pow a 2) (- (+ 4 (+ (* 2 (pow b 2)) (+ (* 4 (/ (pow b 2) a)) (/ (* (pow b 2) (+ 12 (pow b 2))) (pow a 2))))) (/ 1 (pow a 2))))
(* (pow a 2) (+ 4 (* 2 (pow b 2))))
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))))
(* (pow a 2) (+ 4 (+ (* -1 (/ (+ (* -4 (pow b 2)) (* -1 (/ (- (* (pow b 2) (+ 12 (pow b 2))) 1) a))) a)) (* 2 (pow b 2)))))
(* (pow a 2) (+ 4 (+ (* -1 (/ (+ (* -4 (pow b 2)) (* -1 (/ (- (* (pow b 2) (+ 12 (pow b 2))) 1) a))) a)) (* 2 (pow b 2)))))
(- (* 4 (pow a 2)) 1)
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 12 (+ (* 2 (pow a 2)) (* 4 a))))) 1)
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 12 (+ (* 2 (pow a 2)) (+ (* 4 a) (pow b 2)))))) 1)
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 12 (+ (* 2 (pow a 2)) (+ (* 4 a) (pow b 2)))))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (+ (* 4 (/ (pow a 2) (pow b 4))) (* 12 (/ 1 (pow b 2))))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (+ (* 4 (/ (pow a 2) (pow b 4))) (* 12 (/ 1 (pow b 2))))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (+ (* 4 (/ (pow a 2) (pow b 4))) (* 12 (/ 1 (pow b 2))))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (+ (* 4 (/ (pow a 2) (pow b 4))) (* 12 (/ 1 (pow b 2))))))) (/ 1 (pow b 4))))
-1
(- (* 4 (pow a 2)) 1)
(- (* 4 (pow a 2)) 1)
(- (* 4 (pow a 2)) 1)
(* 4 (pow a 2))
(* (pow a 2) (- 4 (/ 1 (pow a 2))))
(* (pow a 2) (- 4 (/ 1 (pow a 2))))
(* (pow a 2) (- 4 (/ 1 (pow a 2))))
(* 4 (pow a 2))
(* (pow a 2) (- 4 (/ 1 (pow a 2))))
(* (pow a 2) (- 4 (/ 1 (pow a 2))))
(* (pow a 2) (- 4 (/ 1 (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)
(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))))
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(- (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4))))
(- (* (pow b 2) (+ 12 (pow b 2))) 1)
(- (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
-1
(- (* 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))))
-1
(- (* 12 (pow b 2)) 1)
(- (* (pow b 2) (+ 12 (pow b 2))) 1)
(- (* (pow b 2) (+ 12 (pow b 2))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
12
(+ 12 (pow b 2))
(+ 12 (pow b 2))
(+ 12 (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
-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))))
(* -1/12 (pow b 4))
(* (pow b 4) (- (* -1/144 (pow b 2)) 1/12))
(* (pow b 4) (- (* (pow b 2) (- (* -1/1728 (pow b 2)) 1/144)) 1/12))
(* (pow b 4) (- (* (pow b 2) (- (* (pow b 2) (- (* -1/20736 (pow b 2)) 1/1728)) 1/144)) 1/12))
(pow b 2)
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ 144 (pow b 4)))))
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (* 1728 (/ 1 (pow b 6))) (/ 144 (pow b 4))))))
(pow b 2)
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ 144 (pow b 4)))))
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (* 1728 (/ 1 (pow b 6))) (/ 144 (pow b 4))))))
-12
(- (* -1 (pow b 2)) 12)
(- (* (pow b 2) (- (* -1/12 (pow b 2)) 1)) 12)
(- (* (pow b 2) (- (* (pow b 2) (- (* -1/144 (pow b 2)) 1/12)) 1)) 12)
(/ 144 (pow b 2))
(/ (+ 144 (* 1728 (/ 1 (pow b 2)))) (pow b 2))
(/ (+ 144 (+ (* 1728 (/ 1 (pow b 2))) (/ 20736 (pow b 4)))) (pow b 2))
(/ (+ 144 (+ (* 1728 (/ 1 (pow b 2))) (+ (* 248832 (/ 1 (pow b 6))) (/ 20736 (pow b 4))))) (pow b 2))
(/ 144 (pow b 2))
(/ (+ 144 (* 1728 (/ 1 (pow b 2)))) (pow b 2))
(/ (+ 144 (+ (* 1728 (/ 1 (pow b 2))) (/ 20736 (pow b 4)))) (pow b 2))
(/ (+ 144 (+ (* 1728 (/ 1 (pow b 2))) (+ (* 248832 (/ 1 (pow b 6))) (/ 20736 (pow b 4))))) (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 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) (fma.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) #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)
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (fma.f64 (fma.f64 a #s(literal -4 binary64) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 (*.f64 a 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 (*.f64 a a) (*.f64 a a)) (fma.f64 #s(literal 2 binary64) (*.f64 b (/.f64 b (*.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 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (fma.f64 (*.f64 b (/.f64 b (*.f64 a a))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a))))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 (*.f64 a 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 (*.f64 a a) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(*.f64 (*.f64 (*.f64 a 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 (+.f64 a #s(literal -4 binary64)) #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 (+.f64 a #s(literal -4 binary64)) #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 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))
(- (+ (* 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 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))
(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 #s(literal 2 binary64) a) (/.f64 a (*.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))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.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 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b))) (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 b (*.f64 b (*.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))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.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 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b))) (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) #s(literal -1 binary64))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
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(* (pow a 4) (- 1 (* 4 (/ 1 a))))
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(* (pow a 4) (- 1 (* 4 (/ 1 a))))
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(* 2 (pow a 2))
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(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
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(pow b 4)
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(- (* 4 (pow a 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 12 (+ (* 2 (pow a 2)) (* 4 a))))) 1)
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(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 12 (+ (* 2 (pow a 2)) (+ (* 4 a) (pow b 2)))))) 1)
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(pow b 4)
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(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))))
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(pow b 4)
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(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))))
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(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (+ (* 4 (/ (pow a 2) (pow b 4))) (* 12 (/ 1 (pow b 2))))))) (/ 1 (pow b 4))))
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-1
#s(literal -1 binary64)
(- (* 4 (pow a 2)) 1)
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(- (* 4 (pow a 2)) 1)
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(* 4 (pow a 2))
(*.f64 #s(literal 4 binary64) (*.f64 a a))
(* (pow a 2) (- 4 (/ 1 (pow a 2))))
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(* (pow a 2) (- 4 (/ 1 (pow a 2))))
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(* (pow a 2) (- 4 (/ 1 (pow a 2))))
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(* 4 (pow a 2))
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(* (pow a 2) (- 4 (/ 1 (pow a 2))))
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(* (pow a 2) (- 4 (/ 1 (pow a 2))))
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(pow a 2)
(*.f64 a a)
(pow a 2)
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(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
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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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(pow a 2)
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(pow a 2)
(*.f64 a a)
(pow a 2)
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(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
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(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
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(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
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(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
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(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
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(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
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(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
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(pow b 4)
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(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(*.f64 (*.f64 (*.f64 a 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)))
-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 (* 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 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 (*.f64 a 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 (*.f64 a a) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a)))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4)))))
(*.f64 (*.f64 (*.f64 a 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 (*.f64 a a) (*.f64 a a)))))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 (*.f64 a 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 (*.f64 a 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 (*.f64 a 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)))
-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))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 12 binary64) (*.f64 b b))) #s(literal -1 binary64))
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 12 binary64) (*.f64 b b))) #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))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 12 binary64) (*.f64 b b))) #s(literal -1 binary64))
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 12 binary64) (*.f64 b b))) #s(literal -1 binary64))
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))
(- (+ (* 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 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) (fma.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) #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)
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (fma.f64 (fma.f64 a #s(literal -4 binary64) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 (*.f64 a 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 (*.f64 a a) (*.f64 a a)) (fma.f64 #s(literal 2 binary64) (*.f64 b (/.f64 b (*.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 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (fma.f64 (*.f64 b (/.f64 b (*.f64 a a))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a))))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 (*.f64 a 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 (*.f64 a a) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(*.f64 (*.f64 (*.f64 a 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 (+.f64 a #s(literal -4 binary64)) #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 (+.f64 a #s(literal -4 binary64)) #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 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))
(- (+ (* 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 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))
(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 #s(literal 2 binary64) a) (/.f64 a (*.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))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.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 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b))) (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 b (*.f64 b (*.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))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.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 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b))) (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) #s(literal -1 binary64))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 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 #s(literal 2 binary64) a) (/.f64 a (*.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))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.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 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b))) (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 b (*.f64 b (*.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))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.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 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b))) (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))) #s(literal -1 binary64))
-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 (* 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 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 (*.f64 a 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 (*.f64 a a) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a)))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4)))))
(*.f64 (*.f64 (*.f64 a 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 (*.f64 a a) (*.f64 a a)))))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 (*.f64 a 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 (*.f64 a 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 (*.f64 a 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)))
(* -1/12 (pow b 4))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal -1/12 binary64))
(* (pow b 4) (- (* -1/144 (pow b 2)) 1/12))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b (*.f64 b #s(literal -1/144 binary64)) #s(literal -1/12 binary64)))
(* (pow b 4) (- (* (pow b 2) (- (* -1/1728 (pow b 2)) 1/144)) 1/12))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/1728 binary64) #s(literal -1/144 binary64)) #s(literal -1/12 binary64)))
(* (pow b 4) (- (* (pow b 2) (- (* (pow b 2) (- (* -1/20736 (pow b 2)) 1/1728)) 1/144)) 1/12))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/20736 binary64) #s(literal -1/1728 binary64)) #s(literal -1/144 binary64)) #s(literal -1/12 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))) (/ 144 (pow b 4)))))
(fma.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 144 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 12 binary64))
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (* 1728 (/ 1 (pow b 6))) (/ 144 (pow b 4))))))
(fma.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 144 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1728 binary64) (pow.f64 b #s(literal 6 binary64))))) #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))) (/ 144 (pow b 4)))))
(fma.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 144 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 12 binary64))
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (* 1728 (/ 1 (pow b 6))) (/ 144 (pow b 4))))))
(fma.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 144 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1728 binary64) (pow.f64 b #s(literal 6 binary64))))) #s(literal 12 binary64))
-12
#s(literal -12 binary64)
(- (* -1 (pow b 2)) 12)
(-.f64 #s(literal -12 binary64) (*.f64 b b))
(- (* (pow b 2) (- (* -1/12 (pow b 2)) 1)) 12)
(fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/12 binary64) #s(literal -1 binary64))) #s(literal -12 binary64))
(- (* (pow b 2) (- (* (pow b 2) (- (* -1/144 (pow b 2)) 1/12)) 1)) 12)
(fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal -1/144 binary64)) #s(literal -1/12 binary64)) #s(literal -1 binary64)) #s(literal -12 binary64))
(/ 144 (pow b 2))
(/.f64 #s(literal 144 binary64) (*.f64 b b))
(/ (+ 144 (* 1728 (/ 1 (pow b 2)))) (pow b 2))
(/.f64 (+.f64 #s(literal 144 binary64) (/.f64 #s(literal 1728 binary64) (*.f64 b b))) (*.f64 b b))
(/ (+ 144 (+ (* 1728 (/ 1 (pow b 2))) (/ 20736 (pow b 4)))) (pow b 2))
(/.f64 (+.f64 #s(literal 144 binary64) (+.f64 (/.f64 #s(literal 1728 binary64) (*.f64 b b)) (/.f64 #s(literal 20736 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 b b))
(/ (+ 144 (+ (* 1728 (/ 1 (pow b 2))) (+ (* 248832 (/ 1 (pow b 6))) (/ 20736 (pow b 4))))) (pow b 2))
(/.f64 (+.f64 #s(literal 144 binary64) (+.f64 (/.f64 #s(literal 20736 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (+.f64 (/.f64 #s(literal 1728 binary64) (*.f64 b b)) (/.f64 #s(literal 248832 binary64) (pow.f64 b #s(literal 6 binary64)))))) (*.f64 b b))
(/ 144 (pow b 2))
(/.f64 #s(literal 144 binary64) (*.f64 b b))
(/ (+ 144 (* 1728 (/ 1 (pow b 2)))) (pow b 2))
(/.f64 (+.f64 #s(literal 144 binary64) (/.f64 #s(literal 1728 binary64) (*.f64 b b))) (*.f64 b b))
(/ (+ 144 (+ (* 1728 (/ 1 (pow b 2))) (/ 20736 (pow b 4)))) (pow b 2))
(/.f64 (+.f64 #s(literal 144 binary64) (+.f64 (/.f64 #s(literal 1728 binary64) (*.f64 b b)) (/.f64 #s(literal 20736 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 b b))
(/ (+ 144 (+ (* 1728 (/ 1 (pow b 2))) (+ (* 248832 (/ 1 (pow b 6))) (/ 20736 (pow b 4))))) (pow b 2))
(/.f64 (+.f64 #s(literal 144 binary64) (+.f64 (/.f64 #s(literal 20736 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (+.f64 (/.f64 #s(literal 1728 binary64) (*.f64 b b)) (/.f64 #s(literal 248832 binary64) (pow.f64 b #s(literal 6 binary64)))))) (*.f64 b b))

rewrite303.0ms (3.2%)

Memory
-22.7MiB live, 382.0MiB allocated
Rules
7 232×lower-fma.f32
7 214×lower-fma.f64
5 430×lower-*.f32
5 420×lower-*.f64
2 182×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
085545
0112511
1668454
25886454
08934424
Stop Event
iter limit
node limit
iter limit
Counts
21 → 290
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64))))
(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)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)))
(*.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 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))))
#s(approx (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(*.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))))
(*.f64 b (*.f64 b (*.f64 b b)))
(*.f64 b (*.f64 b b))
(*.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) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg 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))))
#s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 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 (*.f64 b b) (-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b #s(literal -12 binary64))) (/.f64 #s(literal 144 binary64) (fma.f64 b b #s(literal -12 binary64)))) #s(literal -1 binary64))
(-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b #s(literal -12 binary64))) (/.f64 #s(literal 144 binary64) (fma.f64 b b #s(literal -12 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b #s(literal -12 binary64))) (/.f64 #s(literal 144 binary64) (fma.f64 b b #s(literal -12 binary64)))) #s(literal -1 binary64)))
#s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64))
(/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b #s(literal -12 binary64)))
(/.f64 #s(literal 144 binary64) (fma.f64 b b #s(literal -12 binary64)))
Outputs
#s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64))))
(+.f64 #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))))
(+.f64 (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))))) (-.f64 (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)))) (/.f64 (*.f64 #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)))))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)))
(fma.f64 (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) b #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)) (-.f64 #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))) (*.f64 (*.f64 b b) (*.f64 (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))))) (fma.f64 #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)) (*.f64 #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) (*.f64 (*.f64 b b) (*.f64 (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64))))))
(/.f64 (fma.f64 #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)) (*.f64 #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) (*.f64 (*.f64 b b) (*.f64 (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))))))) (fma.f64 #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)) (-.f64 #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))) (*.f64 (*.f64 b b) (*.f64 (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))))))
(/.f64 (fma.f64 #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)) (*.f64 #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) (*.f64 (*.f64 b b) (*.f64 (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))))))) (fma.f64 #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 b b) (*.f64 (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))))) (*.f64 (*.f64 b b) (*.f64 (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)))))))
(/.f64 (*.f64 (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)))) (-.f64 (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)) (*.f64 #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) (*.f64 (*.f64 b b) (*.f64 (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))))))) (neg.f64 (fma.f64 #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)) (-.f64 #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))) (*.f64 (*.f64 b b) (*.f64 (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64))))) (neg.f64 (-.f64 (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64))) (*.f64 (*.f64 b b) (*.f64 (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))))) (-.f64 #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))))
(pow.f64 (/.f64 (fma.f64 #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)) (-.f64 #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))) (*.f64 (*.f64 b b) (*.f64 (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))))) (fma.f64 #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)) (*.f64 #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) (*.f64 (*.f64 b b) (*.f64 (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))))))) #s(literal -1 binary64))
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(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 b b #s(literal -12 binary64)))) (*.f64 (/.f64 (fma.f64 b b #s(literal -12 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -144 binary64))) (*.f64 (/.f64 (fma.f64 b b #s(literal -12 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) (neg.f64 (fma.f64 b b #s(literal -12 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (neg.f64 b)) (*.f64 (fma.f64 b b #s(literal -12 binary64)) #s(literal 1/144 binary64))) (*.f64 (neg.f64 (fma.f64 b b #s(literal -12 binary64))) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 b b #s(literal -12 binary64))) (*.f64 (fma.f64 b b #s(literal -12 binary64)) #s(literal 1/144 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (neg.f64 b)) (fma.f64 b b #s(literal -12 binary64))) (*.f64 (neg.f64 (fma.f64 b b #s(literal -12 binary64))) #s(literal 144 binary64))) (*.f64 (neg.f64 (fma.f64 b b #s(literal -12 binary64))) (fma.f64 b b #s(literal -12 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (neg.f64 b)) (neg.f64 (fma.f64 b b #s(literal -12 binary64)))) (*.f64 (neg.f64 (fma.f64 b b #s(literal -12 binary64))) #s(literal -144 binary64))) (*.f64 (neg.f64 (fma.f64 b b #s(literal -12 binary64))) (neg.f64 (fma.f64 b b #s(literal -12 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (fma.f64 b b #s(literal -12 binary64)) #s(literal 1/144 binary64))) (*.f64 (fma.f64 b b #s(literal -12 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 b b #s(literal -12 binary64)) (*.f64 (fma.f64 b b #s(literal -12 binary64)) #s(literal 1/144 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (neg.f64 (fma.f64 b b #s(literal -12 binary64)))) (*.f64 (fma.f64 b b #s(literal -12 binary64)) #s(literal -144 binary64))) (*.f64 (fma.f64 b b #s(literal -12 binary64)) (neg.f64 (fma.f64 b b #s(literal -12 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (fma.f64 b b #s(literal -12 binary64)))) (*.f64 (fma.f64 b b #s(literal -12 binary64)) #s(literal 144 binary64)))) (neg.f64 (*.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 b b #s(literal -12 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 #s(literal 144 binary64) (fma.f64 b b #s(literal -12 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64))) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal 144 binary64))) (/.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 b b #s(literal -12 binary64))))) (fma.f64 b b #s(literal 12 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal 144 binary64) (fma.f64 b b #s(literal -12 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64))) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal 144 binary64))) (/.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 b b #s(literal -12 binary64)))))))
(/.f64 (neg.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64))) (neg.f64 (fma.f64 b b #s(literal -12 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64))) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal 144 binary64))) (fma.f64 b b #s(literal 12 binary64)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64))) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal 144 binary64)))))
(/.f64 (fma.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b #s(literal -12 binary64))) (/.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 b b #s(literal -12 binary64)))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 144 binary64) (fma.f64 b b #s(literal -12 binary64))) (/.f64 #s(literal 20736 binary64) (*.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 b b #s(literal -12 binary64))))))) (+.f64 (/.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 b b #s(literal -12 binary64)))) (-.f64 (*.f64 (/.f64 #s(literal -144 binary64) (fma.f64 b b #s(literal -12 binary64))) (/.f64 #s(literal -144 binary64) (fma.f64 b b #s(literal -12 binary64)))) (*.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b #s(literal -12 binary64))) (/.f64 #s(literal -144 binary64) (fma.f64 b b #s(literal -12 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -1728 binary64)) (fma.f64 b (*.f64 b (*.f64 b b)) (+.f64 #s(literal 144 binary64) (*.f64 b (*.f64 b #s(literal -12 binary64))))))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 b b #s(literal -12 binary64)))) (*.f64 (/.f64 #s(literal -144 binary64) (fma.f64 b b #s(literal -12 binary64))) (/.f64 #s(literal -144 binary64) (fma.f64 b b #s(literal -12 binary64))))) (-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b #s(literal -12 binary64))) (/.f64 #s(literal -144 binary64) (fma.f64 b b #s(literal -12 binary64)))))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (fma.f64 b b #s(literal -12 binary64)))) (*.f64 (fma.f64 b b #s(literal -12 binary64)) #s(literal 144 binary64))) (fma.f64 b b #s(literal -12 binary64))) (fma.f64 b b #s(literal -12 binary64)))
(pow.f64 (/.f64 (*.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 b b #s(literal -12 binary64))) (-.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (fma.f64 b b #s(literal -12 binary64)))) (*.f64 (fma.f64 b b #s(literal -12 binary64)) #s(literal 144 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal 144 binary64) (fma.f64 b b #s(literal -12 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64))) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal 144 binary64))) (/.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 b b #s(literal -12 binary64))))) (*.f64 (fma.f64 (/.f64 #s(literal 144 binary64) (fma.f64 b b #s(literal -12 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64))) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal 144 binary64))) (/.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 b b #s(literal -12 binary64))))) (fma.f64 b b #s(literal 12 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64))) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal 144 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64))) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal 144 binary64))) (fma.f64 b b #s(literal 12 binary64)))) #s(literal -1 binary64))
(*.f64 (-.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (fma.f64 b b #s(literal -12 binary64)))) (*.f64 (fma.f64 b b #s(literal -12 binary64)) #s(literal 144 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 b b #s(literal -12 binary64)))))
(*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 144 binary64) (fma.f64 b b #s(literal -12 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64))) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal 144 binary64))) (/.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 b b #s(literal -12 binary64))))) (fma.f64 b b #s(literal 12 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 144 binary64) (fma.f64 b b #s(literal -12 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64))) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal 144 binary64))) (/.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 b b #s(literal -12 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64))) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)))
(*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64))))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64))) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal 144 binary64))) (fma.f64 b b #s(literal 12 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64))) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal 144 binary64)))))
(*.f64 (/.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)) #s(literal -1728 binary64))) (-.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal 144 binary64)) (*.f64 b (*.f64 b #s(literal -12 binary64)))))
(*.f64 (/.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64))) (fma.f64 b b #s(literal 12 binary64)))
#s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)))
#s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 b b #s(literal -12 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (neg.f64 (fma.f64 b b #s(literal -12 binary64)))))
(neg.f64 (/.f64 (*.f64 (*.f64 b (*.f64 b b)) (neg.f64 b)) (fma.f64 b b #s(literal -12 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -12 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 b b #s(literal -12 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 b b #s(literal -12 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))))
(/.f64 (*.f64 (*.f64 b (*.f64 b b)) (neg.f64 b)) (neg.f64 (fma.f64 b b #s(literal -12 binary64))))
(/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b #s(literal -12 binary64)))
(/.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 1 binary64)) (fma.f64 b b #s(literal -12 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 b (*.f64 b b)) (neg.f64 b))) (neg.f64 (neg.f64 (fma.f64 b b #s(literal -12 binary64)))))
(pow.f64 (/.f64 (fma.f64 b b #s(literal -12 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal -12 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 b (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 b b #s(literal -12 binary64))))
(*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64)))))
(*.f64 (*.f64 b b) (/.f64 (*.f64 b b) (fma.f64 b b #s(literal -12 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b #s(literal -12 binary64))))
(*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64)))))
(*.f64 (*.f64 b (*.f64 b b)) (/.f64 b (fma.f64 b b #s(literal -12 binary64))))
(*.f64 (*.f64 (*.f64 b (*.f64 b b)) (neg.f64 b)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 b b #s(literal -12 binary64)))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64))) (*.f64 b (*.f64 b (*.f64 b b))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 b b #s(literal -12 binary64))) b)
(*.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)) #s(literal -1728 binary64))) (-.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal 144 binary64)) (*.f64 b (*.f64 b #s(literal -12 binary64)))))
(*.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64))) (fma.f64 b b #s(literal 12 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 b b #s(literal -12 binary64)) #s(literal 1/144 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -144 binary64) (fma.f64 b b #s(literal -12 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b b #s(literal -12 binary64)) #s(literal 1/144 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 b b #s(literal -12 binary64)) #s(literal 1/144 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fma.f64 b b #s(literal -12 binary64)) #s(literal 1/144 binary64))))
(/.f64 #s(literal 144 binary64) (fma.f64 b b #s(literal -12 binary64)))
(/.f64 #s(literal 144 binary64) (neg.f64 (neg.f64 (fma.f64 b b #s(literal -12 binary64)))))
(/.f64 #s(literal -144 binary64) (neg.f64 (fma.f64 b b #s(literal -12 binary64))))
(pow.f64 (*.f64 (fma.f64 b b #s(literal -12 binary64)) #s(literal 1/144 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (fma.f64 b b #s(literal -12 binary64)) #s(literal 1/144 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 144 binary64) (fma.f64 b b #s(literal -12 binary64))))
(*.f64 #s(literal 144 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64))))
(*.f64 #s(literal -144 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 b b #s(literal -12 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64))) #s(literal 144 binary64))
(*.f64 (/.f64 #s(literal 144 binary64) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)) #s(literal -1728 binary64))) (-.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal 144 binary64)) (*.f64 b (*.f64 b #s(literal -12 binary64)))))
(*.f64 (/.f64 #s(literal 144 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64))) (fma.f64 b b #s(literal 12 binary64)))

eval89.0ms (0.9%)

Memory
34.8MiB live, 189.8MiB allocated
Compiler

Compiled 19 469 to 1 168 computations (94% saved)

prune132.0ms (1.4%)

Memory
-18.6MiB live, 308.9MiB allocated
Pruning

21 alts after pruning (10 fresh and 11 done)

PrunedKeptTotal
New7439752
Fresh617
Picked145
Done077
Total75021771
Accuracy
100.0%
Counts
771 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
43.2%
(/.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))))))
43.2%
#s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (*.f64 (*.f64 b b) (*.f64 b b)))
46.3%
#s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (*.f64 (*.f64 a a) (*.f64 a a)))
43.2%
#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))))
43.2%
#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 (*.f64 b (*.f64 b b)) (/.f64 b (fma.f64 b b #s(literal -12 binary64))) (/.f64 #s(literal -144 binary64) (fma.f64 b b #s(literal -12 binary64)))) #s(literal -1 binary64)))
43.1%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64)))) (/.f64 #s(literal -144 binary64) (fma.f64 b b #s(literal -12 binary64)))) #s(literal -1 binary64)))
65.8%
#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)))
48.2%
#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 (* b b))) (+ (* b b) -12)) (/ 144 (+ (* b b) -12))) #s(literal 12 binary64)) #s(literal -1 binary64)))
43.2%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (/.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (-.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) b) (-.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64))))
75.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 (*.f64 a a) (*.f64 a a)))))
87.1%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64))))
63.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b #s(approx (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12))) (*.f64 (*.f64 a a) (fma.f64 b (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 b b #s(literal 12 binary64)) a)) a) (*.f64 b #s(literal 2 binary64))))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64))))
46.3%
#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)))
46.3%
#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))))
23.8%
#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) #s(literal -1 binary64)))
69.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))))
90.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)))))
31.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (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 (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64))))))
40.3%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* (* a a) (+ (* a (+ a -4)) 4)) -1) (fma.f64 a (*.f64 a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))))
52.3%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))))
29.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) #s(approx (+ (* 4 (* a a)) -1) (*.f64 #s(literal 4 binary64) (*.f64 a a)))))
Compiler

Compiled 1 330 to 346 computations (74% saved)

regimes55.0ms (0.6%)

Memory
2.1MiB live, 121.6MiB allocated
Counts
39 → 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 (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) #s(approx (+ (* 4 (* a a)) -1) (*.f64 #s(literal 4 binary64) (*.f64 a a)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) (fma.f64 #s(literal 4 binary64) (*.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) #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 (*.f64 b b) #s(approx (- (/ (* b (* b (* b b))) (+ (* b b) -12)) (/ 144 (+ (* 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 (/ 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 (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -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 (*.f64 b 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 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) #s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* (* a a) (+ (* a (+ a -4)) 4)) -1) (fma.f64 a (*.f64 a (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 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 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 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)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #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))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 (*.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 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))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (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))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b #s(approx (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12))) (*.f64 (*.f64 a a) (fma.f64 b (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 b b #s(literal 12 binary64)) a)) a) (*.f64 b #s(literal 2 binary64))))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg 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) (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 b (fma.f64 b b #s(literal -12 binary64))) (/.f64 #s(literal -144 binary64) (fma.f64 b b #s(literal -12 binary64)))) #s(literal -1 binary64)))
(fma.f64 (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b #s(literal -12 binary64))) (/.f64 #s(literal 144 binary64) (fma.f64 b b #s(literal -12 binary64)))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64)))) (/.f64 #s(literal -144 binary64) (fma.f64 b b #s(literal -12 binary64)))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (/.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (-.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) b) (-.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64))))
(-.f64 (/.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))))) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (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 (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b #s(approx (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12))) (*.f64 (*.f64 a a) (-.f64 (*.f64 #s(literal 2 binary64) b) (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) (neg.f64 b) (*.f64 #s(literal -4 binary64) b)) a)))) (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) (pow.f64 a #s(literal 4 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (/.f64 (*.f64 (*.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (-.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) b) (-.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 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)) (pow.f64 b #s(literal 4 binary64)))))
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)))) (*.f64 (+.f64 a b) (-.f64 a b)))) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal -1 binary64)))
(fma.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (-.f64 (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a))) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))))) #s(literal 4 binary64)) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (-.f64 (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a))) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (*.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 (*.f64 a (-.f64 #s(literal 1 binary64) a))) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b))))) #s(literal 1 binary64))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 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))))
Calls

5 calls:

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

Compiled 71 to 42 computations (40.8% saved)

regimes32.0ms (0.3%)

Memory
-2.3MiB live, 76.8MiB allocated
Counts
21 → 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 (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) #s(approx (+ (* 4 (* a a)) -1) (*.f64 #s(literal 4 binary64) (*.f64 a a)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) (fma.f64 #s(literal 4 binary64) (*.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) #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 (*.f64 b b) #s(approx (- (/ (* b (* b (* b b))) (+ (* b b) -12)) (/ 144 (+ (* 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 (/ 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 (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -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 (*.f64 b 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 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) #s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* (* a a) (+ (* a (+ a -4)) 4)) -1) (fma.f64 a (*.f64 a (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 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 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 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)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #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))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 (*.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 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))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (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) #s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 (*.f64 a a) (*.f64 a a)))))
Calls

5 calls:

7.0ms
b
6.0ms
a
6.0ms
(+.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)
5.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
99.9%3a
99.9%2b
99.9%2(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
99.9%2(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
99.9%2(*.f64 b b)
Compiler

Compiled 71 to 42 computations (40.8% saved)

regimes24.0ms (0.3%)

Memory
12.2MiB live, 51.8MiB 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 (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) #s(approx (+ (* 4 (* a a)) -1) (*.f64 #s(literal 4 binary64) (*.f64 a a)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) (fma.f64 #s(literal 4 binary64) (*.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) #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 (*.f64 b b) #s(approx (- (/ (* b (* b (* b b))) (+ (* b b) -12)) (/ 144 (+ (* 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 (/ 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 (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -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 (*.f64 b 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 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) #s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* (* a a) (+ (* a (+ a -4)) 4)) -1) (fma.f64 a (*.f64 a (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 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 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 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)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #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))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 (*.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 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))))
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) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 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)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 (*.f64 a a) (*.f64 a a)))))
Calls

4 calls:

6.0ms
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))
6.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
5.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
99.6%2b
99.6%2(*.f64 b b)
99.4%2(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
99.4%2(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
Compiler

Compiled 68 to 40 computations (41.2% saved)

regimes28.0ms (0.3%)

Memory
-14.9MiB live, 65.8MiB allocated
Counts
18 → 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 (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) #s(approx (+ (* 4 (* a a)) -1) (*.f64 #s(literal 4 binary64) (*.f64 a a)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) (fma.f64 #s(literal 4 binary64) (*.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) #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 (*.f64 b b) #s(approx (- (/ (* b (* b (* b b))) (+ (* b b) -12)) (/ 144 (+ (* 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 (/ 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 (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -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 (*.f64 b 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 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) #s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* (* a a) (+ (* a (+ a -4)) 4)) -1) (fma.f64 a (*.f64 a (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 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 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 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)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #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))))))
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) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 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)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64))))
Calls

5 calls:

6.0ms
(*.f64 b b)
5.0ms
a
5.0ms
b
5.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
5.0ms
(-.f64 (+.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
94.4%3a
87.1%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))
87.1%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)))))
97.8%2b
97.8%2(*.f64 b b)
Compiler

Compiled 71 to 42 computations (40.8% saved)

regimes11.0ms (0.1%)

Memory
-11.3MiB live, 28.2MiB 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 (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) #s(approx (+ (* 4 (* a a)) -1) (*.f64 #s(literal 4 binary64) (*.f64 a a)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) (fma.f64 #s(literal 4 binary64) (*.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) #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 (*.f64 b b) #s(approx (- (/ (* b (* b (* b b))) (+ (* b b) -12)) (/ 144 (+ (* 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 (/ 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 (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -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 (*.f64 b 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 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) #s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* (* a a) (+ (* a (+ a -4)) 4)) -1) (fma.f64 a (*.f64 a (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 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 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) #s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))
Calls

2 calls:

5.0ms
b
5.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
93.4%2b
93.4%2(*.f64 b b)
Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes14.0ms (0.1%)

Memory
-4.3MiB live, 35.3MiB allocated
Counts
13 → 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 (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) #s(approx (+ (* 4 (* a a)) -1) (*.f64 #s(literal 4 binary64) (*.f64 a a)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) (fma.f64 #s(literal 4 binary64) (*.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) #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 (*.f64 b b) #s(approx (- (/ (* b (* b (* b b))) (+ (* b b) -12)) (/ 144 (+ (* 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 (/ 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 (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -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 (*.f64 b 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 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) #s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* (* a a) (+ (* a (+ a -4)) 4)) -1) (fma.f64 a (*.f64 a (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 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
Outputs
#s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
#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

3 calls:

5.0ms
a
4.0ms
b
4.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
94.3%3a
84.7%3b
84.7%3(*.f64 b b)
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes5.0ms (0.1%)

Memory
13.5MiB live, 13.5MiB allocated
Counts
12 → 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 (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) #s(approx (+ (* 4 (* a a)) -1) (*.f64 #s(literal 4 binary64) (*.f64 a a)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) (fma.f64 #s(literal 4 binary64) (*.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) #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 (*.f64 b b) #s(approx (- (/ (* b (* b (* b b))) (+ (* b b) -12)) (/ 144 (+ (* 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 (/ 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 (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -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 (*.f64 b 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 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) #s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* (* a a) (+ (* a (+ a -4)) 4)) -1) (fma.f64 a (*.f64 a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))))
Outputs
#s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) #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) (*.f64 a (*.f64 a (*.f64 a a))))
Calls

1 calls:

4.0ms
a
Results
AccuracySegmentsBranch
93.9%3a
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes19.0ms (0.2%)

Memory
-0.1MiB live, 42.9MiB 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 (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) #s(approx (+ (* 4 (* a a)) -1) (*.f64 #s(literal 4 binary64) (*.f64 a a)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) (fma.f64 #s(literal 4 binary64) (*.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) #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 (*.f64 b b) #s(approx (- (/ (* b (* b (* b b))) (+ (* b b) -12)) (/ 144 (+ (* 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 (/ 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 (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -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 (*.f64 b b) (*.f64 b b)))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) (fma.f64 #s(literal 4 binary64) (*.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 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))))
Calls

5 calls:

4.0ms
(-.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))
4.0ms
a
3.0ms
b
3.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
3.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
84.7%3b
84.7%3(*.f64 b b)
79.2%3(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
79.2%3(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
83.8%4a
Compiler

Compiled 71 to 42 computations (40.8% saved)

regimes9.0ms (0.1%)

Memory
-16.6MiB live, 23.0MiB allocated
Counts
6 → 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 (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) #s(approx (+ (* 4 (* a a)) -1) (*.f64 #s(literal 4 binary64) (*.f64 a a)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) (fma.f64 #s(literal 4 binary64) (*.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) #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 (*.f64 b b) #s(approx (- (/ (* b (* b (* b b))) (+ (* b b) -12)) (/ 144 (+ (* 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))))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) #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))))
Calls

3 calls:

3.0ms
a
3.0ms
b
2.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
81.6%3a
76.0%3b
76.0%3(*.f64 b b)
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes12.0ms (0.1%)

Memory
31.3MiB live, 31.2MiB allocated
Counts
5 → 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 (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) #s(approx (+ (* 4 (* a a)) -1) (*.f64 #s(literal 4 binary64) (*.f64 a a)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) (fma.f64 #s(literal 4 binary64) (*.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) #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 (*.f64 b b) #s(approx (- (/ (* b (* b (* b b))) (+ (* b b) -12)) (/ 144 (+ (* 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) #s(approx (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) (fma.f64 #s(literal 4 binary64) (*.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) #s(approx (+ (* b b) 12) #s(literal 12 binary64)) #s(literal -1 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
71.0%2b
71.0%2(*.f64 b b)
58.4%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))
58.4%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)))))
70.9%3a
Compiler

Compiled 71 to 42 computations (40.8% saved)

regimes10.0ms (0.1%)

Memory
-15.5MiB live, 24.0MiB 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 (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) #s(approx (+ (* 4 (* a a)) -1) (*.f64 #s(literal 4 binary64) (*.f64 a a)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))))
Calls

5 calls:

2.0ms
b
2.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
2.0ms
a
2.0ms
(-.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
52.3%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))
52.3%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)))))
52.3%1a
52.3%1b
52.3%1(*.f64 b b)
Compiler

Compiled 71 to 42 computations (40.8% saved)

regimes9.0ms (0.1%)

Memory
-13.8MiB live, 25.6MiB 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 (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) #s(approx (+ (* 4 (* a a)) -1) (*.f64 #s(literal 4 binary64) (*.f64 a a)))))
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 (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) #s(approx (+ (* 4 (* a a)) -1) (*.f64 #s(literal 4 binary64) (*.f64 a a)))))
Calls

5 calls:

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
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)))))
1.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
52.3%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))
52.3%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)))))
37.4%2b
37.4%2(*.f64 b b)
52.0%3a
Compiler

Compiled 71 to 42 computations (40.8% saved)

regimes7.0ms (0.1%)

Memory
21.4MiB live, 21.4MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

5 calls:

1.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
1.0ms
a
1.0ms
(-.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
(*.f64 b b)
Results
AccuracySegmentsBranch
23.8%1b
23.8%1(*.f64 b b)
23.8%1a
23.8%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))
23.8%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)))))
Compiler

Compiled 71 to 42 computations (40.8% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.5533603040431796e+141
1.0411701111531481e+144
Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.5678878981029955e-14
1.3446915996648773e-11
Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.784307784960748e-5
0.0012280546437044603
Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.83740363179329e+117
1.595103600756536e+122
Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch42.0ms (0.5%)

Memory
-23.0MiB live, 96.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
5.068099290661129e+70
4.559260182799634e+76
18.0ms
-23104160864454796.0
-896055866.6727461
Samples
26.0ms288×0valid
Compiler

Compiled 466 to 265 computations (43.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 8.0ms (42.8% of total)
ival-add: 4.0ms (21.4% of total)
ival-pow2: 3.0ms (16% of total)
ival-sub: 2.0ms (10.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
3.3MiB live, 3.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
5.068099290661129e+70
4.559260182799634e+76
1.0ms
-23104160864454796.0
-896055866.6727461
Compiler

Compiled 466 to 229 computations (50.9% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.83740363179329e+117
1.595103600756536e+122
0.0ms
5.5678878981029955e-14
1.3446915996648773e-11
Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch38.0ms (0.4%)

Memory
4.7MiB live, 85.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
68457305872.957054
846640474097095.0
16.0ms
-23104160864454796.0
-896055866.6727461
Samples
23.0ms256×0valid
Compiler

Compiled 408 to 243 computations (40.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 8.0ms (46.9% of total)
ival-add: 4.0ms (23.4% of total)
ival-sub: 2.0ms (11.7% of total)
ival-pow2: 2.0ms (11.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch18.0ms (0.2%)

Memory
6.2MiB live, 45.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
16.0ms
4.697047358366127e+304
1.4281059514086293e+308
Samples
11.0ms128×0valid
Compiler

Compiled 192 to 126 computations (34.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 3.0ms (35.1% of total)
ival-sub: 2.0ms (23.4% of total)
ival-add: 2.0ms (23.4% of total)
ival-pow2: 1.0ms (11.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.2653899636223808e-9
918608.2584662784
Compiler

Compiled 34 to 24 computations (29.4% saved)

simplify16.0ms (0.2%)

Memory
1.9MiB live, 41.3MiB allocated
Algorithm
egg-herbie
Rules
20×*-commutative_binary64
14×+-commutative_binary64
sub-neg_binary64
1-exp_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01601562
11801562
21831562
31841562
Stop Event
saturated
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 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))))
(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 5000000000000000254111424201498439852395544724254919894224604014435980857206176135039194186276980095645480143722890917165647288574234188578816 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) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 (*.f64 a a) (*.f64 a a))))))
(if (<=.f64 (*.f64 b b) #s(literal 3961408125713217/39614081257132168796771975168 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) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 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)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 (*.f64 a a) (*.f64 a a))))))
(if (<=.f64 (*.f64 b b) #s(literal 7378697629483821/147573952589676412928 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) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 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)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)))))
(if (<=.f64 (*.f64 b b) #s(literal 4999999999999999832824999471636879591620757547431714247293876642114376026137470598410191039245133837347555577757171712 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) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b)))))
(if (<=.f64 a #s(literal -14500000000000000 binary64)) #s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (*.f64 (*.f64 a a) (*.f64 a a))) (if (<=.f64 a #s(literal 51000000000000001400359944159157703896556554166508844303320034654027776 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a))))))
(if (<=.f64 a #s(literal -14500000000000000 binary64)) #s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (*.f64 (*.f64 a a) (*.f64 a a))) (if (<=.f64 a #s(literal 51000000000000001400359944159157703896556554166508844303320034654027776 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) (*.f64 a (*.f64 a (*.f64 a a))))))
(if (<=.f64 (*.f64 b b) #s(literal 3961408125713217/39614081257132168796771975168 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)))) (if (<=.f64 (*.f64 b b) #s(literal 4999999999999999832824999471636879591620757547431714247293876642114376026137470598410191039245133837347555577757171712 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))))))
(if (<=.f64 a #s(literal -900000000 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 33000000000000 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))))))
(if (<=.f64 (*.f64 b b) #s(literal 12000000000000000830292871890437399088589526724170919684025223100789049774480913837483761631556785692622637882789036083143247229516550145989750137041535306782462729140042960374285684296830613866338808641466845655339902575735926818981154602786709531085833420377429584940127333753699559367582459616472030248960 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) (fma.f64 #s(literal 4 binary64) (*.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) #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) #s(approx (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #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 4835703278458517/2417851639229258349412352 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 (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) #s(approx (+ (* 4 (* a a)) -1) (*.f64 #s(literal 4 binary64) (*.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) #s(literal -1 binary64)))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 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))))
(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 5000000000000000254111424201498439852395544724254919894224604014435980857206176135039194186276980095645480143722890917165647288574234188578816 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) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 (*.f64 a a) (*.f64 a a))))))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)))))) #s(literal 5000000000000000254111424201498439852395544724254919894224604014435980857206176135039194186276980095645480143722890917165647288574234188578816 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) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg 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 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 (*.f64 a a) (*.f64 a a))))))
(if (<=.f64 (*.f64 b b) #s(literal 3961408125713217/39614081257132168796771975168 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) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 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)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 (*.f64 a a) (*.f64 a a))))))
(if (<=.f64 (*.f64 b b) #s(literal 3961408125713217/39614081257132168796771975168 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) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg 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)))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 (*.f64 a a) (*.f64 a a))))))
(if (<=.f64 (*.f64 b b) #s(literal 7378697629483821/147573952589676412928 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) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 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)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)))))
(if (<=.f64 (*.f64 b b) #s(literal 7378697629483821/147573952589676412928 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) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg 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)))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)))))
(if (<=.f64 (*.f64 b b) #s(literal 4999999999999999832824999471636879591620757547431714247293876642114376026137470598410191039245133837347555577757171712 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) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b)))))
(if (<=.f64 (*.f64 b b) #s(literal 4999999999999999832824999471636879591620757547431714247293876642114376026137470598410191039245133837347555577757171712 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) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg 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)))) #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 -14500000000000000 binary64)) #s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (*.f64 (*.f64 a a) (*.f64 a a))) (if (<=.f64 a #s(literal 51000000000000001400359944159157703896556554166508844303320034654027776 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a))))))
(if (<=.f64 a #s(literal -14500000000000000 binary64)) #s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (*.f64 (*.f64 a a) (*.f64 a a))) (if (<=.f64 a #s(literal 51000000000000001400359944159157703896556554166508844303320034654027776 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) (*.f64 a (*.f64 a (*.f64 a a))))))
(if (<=.f64 (*.f64 b b) #s(literal 3961408125713217/39614081257132168796771975168 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)))) (if (<=.f64 (*.f64 b b) #s(literal 4999999999999999832824999471636879591620757547431714247293876642114376026137470598410191039245133837347555577757171712 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))))))
(if (<=.f64 a #s(literal -900000000 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 33000000000000 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))))))
(if (<=.f64 (*.f64 b b) #s(literal 12000000000000000830292871890437399088589526724170919684025223100789049774480913837483761631556785692622637882789036083143247229516550145989750137041535306782462729140042960374285684296830613866338808641466845655339902575735926818981154602786709531085833420377429584940127333753699559367582459616472030248960 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) (fma.f64 #s(literal 4 binary64) (*.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) #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) #s(approx (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #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 4835703278458517/2417851639229258349412352 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 (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) #s(approx (+ (* 4 (* a a)) -1) (*.f64 #s(literal 4 binary64) (*.f64 a a))))))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)))))) #s(literal 4835703278458517/2417851639229258349412352 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 (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) #s(approx (+ (* 4 (* a a)) -1) (*.f64 #s(literal 4 binary64) (*.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) #s(literal -1 binary64)))

soundness1.0s (11%)

Memory
-19.9MiB live, 902.4MiB allocated
Rules
19 992×lower-fma.f64
19 992×lower-fma.f32
13 476×lower-fma.f64
13 476×lower-fma.f32
11 338×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04818777
115738442
253308412
080777681
03456525
110336305
231006091
366505836
082765215
01894
03094
114094
2125194
0829981
01912222
15992169
218452105
357612012
084751830
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 717 to 276 computations (61.5% saved)

preprocess73.0ms (0.8%)

Memory
13.1MiB live, 131.1MiB allocated
Remove

(abs b)

Compiler

Compiled 1 076 to 274 computations (74.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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