Bouland and Aaronson, Equation (25)

Time bar (total: 8.2s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB 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 33 to 20 computations (39.4% saved)

sample1.3s (15.9%)

Memory
80.0MiB live, 1 733.9MiB allocated
Samples
931.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 721.0ms
ival-mult: 335.0ms (46.5% of total)
ival-add: 170.0ms (23.6% of total)
ival-sub: 104.0ms (14.4% of total)
ival-pow2: 92.0ms (12.8% of total)
exact: 10.0ms (1.4% of total)
ival-true: 6.0ms (0.8% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain310.0ms (3.8%)

Memory
-15.1MiB live, 409.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
450-0-(+.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 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
330-0-(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))
200-3(6.915566078651862e+265 1.3269174052713444e-157)(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))
00-0-(*.f64 a a)
00-0-(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))
00-0-a
00-0-#s(literal 3 binary64)
00-0-#s(literal 1 binary64)
00-0-(*.f64 b b)
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-(*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a))
00-0-#s(literal 4 binary64)
00-0-(+.f64 #s(literal 1 binary64) a)
00-0-#s(literal 2 binary64)
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 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
00-0-b
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 1 binary64) (*.f64 #s(literal 3 binary64) a)))))
00-0-(*.f64 #s(literal 3 binary64) a)
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 1 binary64) (*.f64 #s(literal 3 binary64) a))))))nan-rescue450
(*.f64 b b)overflow58
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))overflow165
(*.f64 a a)overflow66
(+.f64 (*.f64 a a) (*.f64 b b))overflow111
(*.f64 b b)overflow58
(*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a))overflow88
(*.f64 a a)overflow66
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))overflow75
(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))overflow130
(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))overflow130
+.f64(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))nan-rescue330
(*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a))overflow88
(*.f64 a a)overflow66
(*.f64 b b)overflow58
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))overflow75
Confusion
Predicted +Predicted -
+620
-0194
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6200
-00194
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0194
146
216
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
57.0ms468×0valid
9.0ms26×2valid
4.0ms18×1valid
Compiler

Compiled 337 to 61 computations (81.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-mult: 19.0ms (43.2% of total)
ival-add: 10.0ms (22.8% of total)
ival-pow2: 6.0ms (13.7% of total)
ival-sub: 5.0ms (11.4% of total)
adjust: 3.0ms (6.8% of total)
ival-true: 1.0ms (2.3% of total)
exact: 1.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)

preprocess258.0ms (3.1%)

Memory
-18.8MiB live, 174.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047159
1171157
2671155
32845155
46808155
01931
03231
17031
218831
358731
4195531
5349131
0806226
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 1 binary64) (*.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 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b) (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64))))
Symmetry

(abs b)

Compiler

Compiled 31 to 19 computations (38.7% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.7%
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
Compiler

Compiled 31 to 19 computations (38.7% saved)

simplify201.0ms (2.4%)

Memory
8.7MiB live, 174.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff128
(*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a))
cost-diff128
(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))
cost-diff128
(+.f64 (*.f64 a a) (*.f64 b b))
cost-diff128
(+.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 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019151
032151
170151
2188151
3587151
41955151
53491151
08062130
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 1 binary64) (*.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 1 binary64) (*.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 1 binary64) (*.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 1 binary64) (*.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 1 binary64) (*.f64 #s(literal 3 binary64) a)))
(-.f64 #s(literal 1 binary64) (*.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 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b) (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 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 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -3 binary64) b) b (fma.f64 a a a)) a (*.f64 b b)) #s(literal 4 binary64) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)))
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
(pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))
(+.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 b b (*.f64 a a))
(*.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 1 binary64) (*.f64 #s(literal 3 binary64) a)))))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -3 binary64) b) b (fma.f64 a a a)) a (*.f64 b b)) #s(literal 4 binary64))
#s(literal 4 binary64)
(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))
(fma.f64 (fma.f64 (*.f64 #s(literal -3 binary64) b) b (fma.f64 a a a)) a (*.f64 b b))
(*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a))
(*.f64 (fma.f64 a a a) a)
(+.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))
(fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)

localize93.0ms (1.1%)

Memory
-4.4MiB live, 79.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.09994125976844201
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
accuracy4.280678496526613
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))
accuracy7.386685723283294
(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))
accuracy8.976562500000002
(+.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 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
Samples
27.0ms234×0valid
4.0ms13×2valid
2.0ms1valid
Compiler

Compiled 153 to 21 computations (86.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 9.0ms (41.9% of total)
ival-add: 5.0ms (23.3% of total)
ival-sub: 3.0ms (14% of total)
ival-pow2: 3.0ms (14% of total)
adjust: 1.0ms (4.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory
-17.7MiB live, 19.2MiB allocated
Counts
6 → 132
Calls
Call 1
Inputs
#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 1 binary64) (*.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 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #<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 1 binary64) (*.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 1 binary64) (*.f64 #s(literal 3 binary64) a)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (patch (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) (patch (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())
#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>) () ())
Outputs
#s(alt (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) (taylor 0 b) (#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 1 binary64) (*.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 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) (taylor 0 b) (#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 1 binary64) (*.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 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) (taylor 0 b) (#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 1 binary64) (*.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 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) (taylor 0 b) (#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 1 binary64) (*.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 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor 0 b) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (pow a 2) (pow b 2)) (taylor 0 b) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (pow a 2) (pow b 2)) (taylor 0 b) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (pow a 2) (pow b 2)) (taylor 0 b) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<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 1 binary64) (*.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 1 binary64) (*.f64 #s(literal 3 binary64) a)))) #<representation binary64>) () ())) ())
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#s(alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a)))) (taylor -inf a) (#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 1 binary64) (*.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 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) (taylor -inf a) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) (taylor -inf a) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) (taylor -inf a) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (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 1 binary64) (*.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 1 binary64) (*.f64 #s(literal 3 binary64) a)))) #<representation binary64>) () ())) ())
#s(alt (* (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 1 binary64) (*.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 1 binary64) (*.f64 #s(literal 3 binary64) a)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) 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 1 binary64) (*.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 1 binary64) (*.f64 #s(literal 3 binary64) a)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) 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 1 binary64) (*.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 1 binary64) (*.f64 #s(literal 3 binary64) a)))) #<representation binary64>) () ())) ())
#s(alt (pow a 3) (taylor -inf a) (#s(alt (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (patch (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 3) (+ 1 (/ 1 a))) (taylor -inf a) (#s(alt (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (patch (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 3) (+ 1 (/ 1 a))) (taylor -inf a) (#s(alt (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (patch (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 3) (+ 1 (/ 1 a))) (taylor -inf a) (#s(alt (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (patch (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -3 (* a (pow b 2))) (taylor -inf a) (#s(alt (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) (patch (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))))) (taylor -inf a) (#s(alt (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) (patch (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))))) (taylor -inf a) (#s(alt (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) (patch (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))))) (taylor -inf a) (#s(alt (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) (patch (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) #<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>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
2.0ms
b
@0
((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* a a) (* b b)) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))) (pow (+ (* a a) (* b b)) 2))
2.0ms
a
@0
((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* a a) (* b b)) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))) (pow (+ (* a a) (* b b)) 2))
2.0ms
b
@inf
((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* a a) (* b b)) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))) (pow (+ (* a a) (* b b)) 2))
2.0ms
a
@inf
((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* a a) (* b b)) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))) (pow (+ (* a a) (* b b)) 2))
1.0ms
a
@-inf
((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* a a) (* b b)) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))) (pow (+ (* a a) (* b b)) 2))

simplify201.0ms (2.4%)

Memory
22.1MiB live, 179.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01751722
15651702
217181666
351571616
082391442
Stop Event
iter limit
node limit
Counts
132 → 132
Calls
Call 1
Inputs
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(pow a 2)
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(* (pow a 2) (+ 1 a))
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(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))) (* 4 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(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) (- 1 (* 3 a)))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(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))) (* 4 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(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) (- 1 (* 3 a)))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(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)))))
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (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 b 2)
(+ (* -3 (* a (pow b 2))) (pow b 2))
(+ (* a (+ a (* -3 (pow b 2)))) (pow b 2))
(+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2))
(pow a 2)
(* (pow a 2) (+ 1 a))
(* (pow a 2) (+ 1 a))
(* (pow a 2) (+ 1 a))
(pow b 2)
(+ (* -3 (* a (pow b 2))) (pow b 2))
(+ (* -3 (* a (pow b 2))) (pow b 2))
(+ (* -3 (* a (pow b 2))) (pow b 2))
(pow b 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (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 3)
(* (pow a 3) (+ 1 (/ 1 a)))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a))))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3))))))
(pow a 3)
(* (pow a 3) (+ 1 (/ 1 a)))
(* (pow a 3) (+ 1 (/ 1 a)))
(* (pow a 3) (+ 1 (/ 1 a)))
(* -3 (* a (pow b 2)))
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))
(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 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(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 3)
(* (pow a 3) (+ 1 (/ 1 a)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1)))
(pow a 3)
(* (pow a 3) (+ 1 (/ 1 a)))
(* (pow a 3) (+ 1 (/ 1 a)))
(* (pow a 3) (+ 1 (/ 1 a)))
(* -3 (* a (pow b 2)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))
(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)))))
Outputs
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))
(pow a 2)
(*.f64 a a)
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(* (pow a 2) (+ 1 a))
(*.f64 (fma.f64 a a a) a)
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))
(fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a))
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))
(fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a))
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))
(fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a))
(* (pow b 2) (- 1 (* 3 a)))
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(* (pow b 2) (- 1 (* 3 a)))
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(* (pow b 2) (- 1 (* 3 a)))
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(* (pow b 2) (- 1 (* 3 a)))
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(fma.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a) a (pow.f64 a #s(literal 4 binary64)))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (fma.f64 (/.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) (fma.f64 a a a) (/.f64 (/.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)) #s(literal 4 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) (fma.f64 a a a) (/.f64 (/.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)) #s(literal 4 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(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) (- 1 (* 3 a)))
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(*.f64 (fma.f64 a (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) a) b) b) a #s(literal -3 binary64)) #s(literal 1 binary64)) (*.f64 b b))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(*.f64 (fma.f64 a (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) a) b) b) a #s(literal -3 binary64)) #s(literal 1 binary64)) (*.f64 b b))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(*.f64 (fma.f64 a (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) a) b) b) a #s(literal -3 binary64)) #s(literal 1 binary64)) (*.f64 b b))
(* (pow b 2) (- 1 (* 3 a)))
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(* (pow b 2) (- 1 (* 3 a)))
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(* (pow b 2) (- 1 (* 3 a)))
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(* (pow b 2) (- 1 (* 3 a)))
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (fma.f64 (/.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) (fma.f64 a a a) (/.f64 (/.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)) #s(literal 4 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) (fma.f64 a a a) (/.f64 (/.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)) #s(literal 4 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(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) (- 1 (* 3 a)))
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(*.f64 (fma.f64 a (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) a) b) b) a #s(literal -3 binary64)) #s(literal 1 binary64)) (*.f64 b b))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(*.f64 (fma.f64 a (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) a) b) b) a #s(literal -3 binary64)) #s(literal 1 binary64)) (*.f64 b b))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(*.f64 (fma.f64 a (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) a) b) b) a #s(literal -3 binary64)) #s(literal 1 binary64)) (*.f64 b b))
(* (pow b 2) (- 1 (* 3 a)))
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(* (pow b 2) (- 1 (* 3 a)))
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(* (pow b 2) (- 1 (* 3 a)))
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(* (pow b 2) (- 1 (* 3 a)))
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(+ (* 4 (pow b 2)) (pow b 4))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(fma.f64 (*.f64 b #s(literal 4 binary64)) b (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 a #s(literal 4 binary64))) a (pow.f64 b #s(literal 4 binary64))))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))
(fma.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b) (fma.f64 (*.f64 (fma.f64 a #s(literal 4 binary64) (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a (pow.f64 b #s(literal 4 binary64))))
(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 b 2)
(*.f64 b b)
(+ (* -3 (* a (pow b 2))) (pow b 2))
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(+ (* a (+ a (* -3 (pow b 2)))) (pow b 2))
(fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 b b) a) a (*.f64 b b))
(+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2))
(fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 a))
(*.f64 (fma.f64 a a a) a)
(* (pow a 2) (+ 1 a))
(*.f64 (fma.f64 a a a) a)
(* (pow a 2) (+ 1 a))
(*.f64 (fma.f64 a a a) a)
(pow b 2)
(*.f64 b b)
(+ (* -3 (* a (pow b 2))) (pow b 2))
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(+ (* -3 (* a (pow b 2))) (pow b 2))
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(+ (* -3 (* a (pow b 2))) (pow b 2))
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(*.f64 (fma.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) b (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) a) a) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a))) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 #s(literal -12 binary64) a) #s(literal 2 binary64)) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) a) a) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a))) (pow.f64 a #s(literal 4 binary64)))
(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 3)
(pow.f64 a #s(literal 3 binary64))
(* (pow a 3) (+ 1 (/ 1 a)))
(*.f64 (fma.f64 a a a) a)
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a))))
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) b) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 3 binary64)) (*.f64 a a))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3))))))
(fma.f64 (fma.f64 (/.f64 b (pow.f64 a #s(literal 3 binary64))) b (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) b) a) (/.f64 b a) #s(literal 1 binary64))) (pow.f64 a #s(literal 3 binary64)) (*.f64 a a))
(pow a 3)
(pow.f64 a #s(literal 3 binary64))
(* (pow a 3) (+ 1 (/ 1 a)))
(*.f64 (fma.f64 a a a) a)
(* (pow a 3) (+ 1 (/ 1 a)))
(*.f64 (fma.f64 a a a) a)
(* (pow a 3) (+ 1 (/ 1 a)))
(*.f64 (fma.f64 a a a) a)
(* -3 (* a (pow b 2)))
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 b b)) a)
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 (fma.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(fma.f64 (fma.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(fma.f64 (fma.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(*.f64 (-.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.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal -12 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(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 3)
(pow.f64 a #s(literal 3 binary64))
(* (pow a 3) (+ 1 (/ 1 a)))
(*.f64 (fma.f64 a a a) a)
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1)))
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -3 binary64) #s(literal 1 binary64)) a) #s(literal -1 binary64)) (pow.f64 a #s(literal 3 binary64)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1)))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (*.f64 b (fma.f64 #s(literal -3 binary64) b (/.f64 b a))) a) #s(literal 1 binary64)) a) #s(literal -1 binary64)) (pow.f64 a #s(literal 3 binary64)))
(pow a 3)
(pow.f64 a #s(literal 3 binary64))
(* (pow a 3) (+ 1 (/ 1 a)))
(*.f64 (fma.f64 a a a) a)
(* (pow a 3) (+ 1 (/ 1 a)))
(*.f64 (fma.f64 a a a) a)
(* (pow a 3) (+ 1 (/ 1 a)))
(*.f64 (fma.f64 a a a) a)
(* -3 (* a (pow b 2)))
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 b b)) a)
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 (fma.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(fma.f64 (fma.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(fma.f64 (fma.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))

rewrite195.0ms (2.4%)

Memory
12.5MiB live, 171.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01878
03078
112878
2107578
0843563
Stop Event
iter limit
node limit
iter limit
Counts
6 → 506
Calls
Call 1
Inputs
(+.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 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
(+.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 1 binary64) (*.f64 #s(literal 3 binary64) a))))
(*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a))
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
Outputs
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eval141.0ms (1.7%)

Memory
-19.4MiB live, 174.4MiB allocated
Compiler

Compiled 35 393 to 2 760 computations (92.2% saved)

prune16.0ms (0.2%)

Memory
9.1MiB live, 47.9MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New6317638
Fresh000
Picked101
Done000
Total6327639
Accuracy
100.0%
Counts
639 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
85.4%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64))
99.9%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64))
64.2%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64))
69.0%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
59.8%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (fma.f64 (/.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
63.9%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
69.7%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #s(literal 1 binary64))
Compiler

Compiled 256 to 176 computations (31.3% saved)

simplify197.0ms (2.4%)

Memory
15.8MiB live, 175.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 a #s(literal 4 binary64))
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64)))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.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) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64))
cost-diff192
(fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))
cost-diff640
(fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))
cost-diff0
(*.f64 b b)
cost-diff0
(*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
cost-diff0
(*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #s(literal 1 binary64))
cost-diff192
(fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64))
cost-diff192
(fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))
cost-diff640
(fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047734
076724
1161724
2401703
31289692
43609692
55343692
67717692
08029626
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a 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) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))))
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))
(*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b)
(fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))))
b
(fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))
(fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))
#s(literal -3 binary64)
a
#s(literal 1 binary64)
#s(literal 4 binary64)
(*.f64 (*.f64 a a) #s(literal 2 binary64))
(*.f64 a a)
#s(literal 2 binary64)
(*.f64 (*.f64 a a) (fma.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) #s(literal 4 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (fma.f64 a 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) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))
(*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))
(*.f64 a a)
a
(fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))
(fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 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) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))))
(*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))
(*.f64 b b)
b
(fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))
(fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))
#s(literal -12 binary64)
a
#s(literal 4 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (*.f64 (*.f64 a a) (fma.f64 a 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) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))
(*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b)
(fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))
(fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))
#s(literal -3 binary64)
a
#s(literal 1 binary64)
#s(literal 4 binary64)
(*.f64 (*.f64 a a) #s(literal 2 binary64))
(*.f64 a a)
#s(literal 2 binary64)
b
(*.f64 (*.f64 a a) (fma.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) #s(literal 4 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.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) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64)))
(pow.f64 a #s(literal 4 binary64))
a
#s(literal 4 binary64)
#s(literal 1 binary64)
Outputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #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) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a))))
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))
(fma.f64 (*.f64 b b) (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a)))
(*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b)
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b)
(fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64)))
b
(fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64))
(fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))
#s(literal -3 binary64)
a
#s(literal 1 binary64)
#s(literal 4 binary64)
(*.f64 (*.f64 a a) #s(literal 2 binary64))
(*.f64 a a)
#s(literal 2 binary64)
(*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))
(*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a))
(fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))
(fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64))
(fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #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) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a)))
(*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))
(*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a))
(*.f64 a a)
a
(fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))
(fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64))
(fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b))
(*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))
(*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b)
(*.f64 b b)
b
(fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))
(fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))
#s(literal -12 binary64)
a
#s(literal 4 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #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) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a)))
(*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b)
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b)
(fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64))
(fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))
#s(literal -3 binary64)
a
#s(literal 1 binary64)
#s(literal 4 binary64)
(*.f64 (*.f64 a a) #s(literal 2 binary64))
(*.f64 a a)
#s(literal 2 binary64)
b
(*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))
(*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a))
(fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))
(fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64))
(fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.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) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64)))
(pow.f64 a #s(literal 4 binary64))
a
#s(literal 4 binary64)
#s(literal 1 binary64)

localize172.0ms (2.1%)

Memory
-17.9MiB live, 191.1MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(pow.f64 a #s(literal 4 binary64))
accuracy0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
accuracy28.211212882354022
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64)))
accuracy0.0078125
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))
accuracy0.056972509768442016
(*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))
accuracy4.276460691656673
(*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b)
accuracy9.413818492068414
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))))
accuracy0
(*.f64 b b)
accuracy0.0078125
(fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))
accuracy4.307513714972602
(*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))
accuracy27.051307590604104
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))))
accuracy0
(*.f64 a a)
accuracy0.00390625
(fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))
accuracy0.056972509768442016
(*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))
accuracy23.562720201403117
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))
accuracy0.00390625
(*.f64 (*.f64 a a) #s(literal 2 binary64))
accuracy0.01953125
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))
accuracy0.056972509768442016
(*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))
accuracy4.288179441656673
(*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b)
Samples
91.0ms234×0valid
41.0ms11×2valid
5.0ms1valid
2.0ms3valid
Compiler

Compiled 611 to 44 computations (92.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 88.0ms
ival-add: 42.0ms (47.9% of total)
ival-mult: 32.0ms (36.5% of total)
ival-pow: 4.0ms (4.6% of total)
adjust: 3.0ms (3.4% of total)
ival-pow2: 3.0ms (3.4% of total)
ival-sub: 2.0ms (2.3% of total)
exact: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series54.0ms (0.7%)

Memory
-5.5MiB live, 71.3MiB allocated
Counts
23 → 468
Calls
Call 1
Inputs
#s(alt (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (patch (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) (patch (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #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) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #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) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))) (patch (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))) (patch (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #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) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.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) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64))) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 a #s(literal 4 binary64)) (patch (pow.f64 a #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) (patch (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) (patch (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 a a) #s(literal 2 binary64)) (patch (*.f64 (*.f64 a a) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())
#s(alt (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (patch (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) (patch (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) (patch (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #<representation binary64>) () ())
Outputs
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1) (taylor 0 b) (#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1) (taylor 0 b) (#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) (taylor 0 b) (#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) (taylor 0 b) (#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) (taylor 0 b) (#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) (taylor 0 b) (#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1) (taylor 0 b) (#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1) (taylor 0 b) (#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) (taylor 0 b) (#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #<representation binary64>) () ())) ())
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#s(alt (* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b)) a)) (* 2 b))) (taylor -inf a) (#s(alt (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) (patch (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor -inf a) (#s(alt (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) (patch (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* 4 (/ 1 a)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) (patch (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) (patch (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) (patch (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow a 2)) (taylor -inf a) (#s(alt (*.f64 (*.f64 a a) #s(literal 2 binary64)) (patch (*.f64 (*.f64 a a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow a 2)) (taylor -inf a) (#s(alt (*.f64 (*.f64 a a) #s(literal 2 binary64)) (patch (*.f64 (*.f64 a a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow a 2)) (taylor -inf a) (#s(alt (*.f64 (*.f64 a a) #s(literal 2 binary64)) (patch (*.f64 (*.f64 a a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow a 2)) (taylor -inf a) (#s(alt (*.f64 (*.f64 a a) #s(literal 2 binary64)) (patch (*.f64 (*.f64 a a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt (* -12 a) (taylor -inf a) (#s(alt (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (patch (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ 12 (* -1 (/ (+ 4 (pow b 2)) a))))) (taylor -inf a) (#s(alt (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (patch (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ 12 (* -1 (/ (+ 4 (pow b 2)) a))))) (taylor -inf a) (#s(alt (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (patch (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ 12 (* -1 (/ (+ 4 (pow b 2)) a))))) (taylor -inf a) (#s(alt (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (patch (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow a 2) b)) (taylor -inf a) (#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) (patch (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* -12 (/ b a)) (* 2 b))) (taylor -inf a) (#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) (patch (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* -1 (/ (+ (* -4 (/ b a)) (* 12 b)) a)) (* 2 b))) (taylor -inf a) (#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) (patch (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* -1 (/ (+ (* -4 (/ b a)) (* 12 b)) a)) (* 2 b))) (taylor -inf a) (#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) (patch (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor -inf a) (#s(alt (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) (patch (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* 4 (/ 1 a)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) (patch (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) (patch (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) (patch (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
7.0ms
b
@-inf
((+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (+ (* a a) (+ (* a 4) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* a a) (+ (* a a) (+ (* a 4) 4))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow a 4) (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (+ (* (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (* (* a a) 2) (* a a) (+ (* b b) (+ (* -12 a) 4)) (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))))
5.0ms
a
@-inf
((+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (+ (* a a) (+ (* a 4) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* a a) (+ (* a a) (+ (* a 4) 4))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow a 4) (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (+ (* (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (* (* a a) 2) (* a a) (+ (* b b) (+ (* -12 a) 4)) (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))))
4.0ms
b
@0
((+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (+ (* a a) (+ (* a 4) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* a a) (+ (* a a) (+ (* a 4) 4))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow a 4) (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (+ (* (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (* (* a a) 2) (* a a) (+ (* b b) (+ (* -12 a) 4)) (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))))
4.0ms
b
@inf
((+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (+ (* a a) (+ (* a 4) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* a a) (+ (* a a) (+ (* a 4) 4))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow a 4) (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (+ (* (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (* (* a a) 2) (* a a) (+ (* b b) (+ (* -12 a) 4)) (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))))
3.0ms
a
@inf
((+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (+ (* a a) (+ (* a 4) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* a a) (+ (* a a) (+ (* a 4) 4))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow a 4) (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (+ (* (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (* (* a a) 2) (* a a) (+ (* b b) (+ (* -12 a) 4)) (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))))

simplify243.0ms (3%)

Memory
-3.6MiB live, 178.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02559032
18358647
225187950
370037864
081987065
Stop Event
iter limit
node limit
Counts
468 → 468
Calls
Call 1
Inputs
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(* (pow b 2) (+ 4 (* -12 a)))
(* (pow b 2) (+ 4 (+ (* -12 a) (pow b 2))))
(* (pow b 2) (+ 4 (+ (* -12 a) (pow b 2))))
(* (pow b 2) (+ 4 (+ (* -12 a) (pow b 2))))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* b (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2))))
(* b (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2))))
(* b (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2))))
(* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2))))
(+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))))
(+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))))
(+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))))
(+ 4 (* -12 a))
(+ 4 (+ (* -12 a) (pow b 2)))
(+ 4 (+ (* -12 a) (pow b 2)))
(+ 4 (+ (* -12 a) (pow b 2)))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2))))
(+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))))
(+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))))
(+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(pow b 3)
(* (pow b 3) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))))
(* (pow b 3) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))))
(* (pow b 3) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 4))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 4))))))
(pow b 2)
(* (pow b 2) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 2) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 2) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(pow b 3)
(* -1 (* (pow b 3) (- (* -1 (/ (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (pow b 2))) 1)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (pow b 2))) 1)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (pow b 2))) 1)))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 4))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 4))))))
(pow b 2)
(* (pow b 2) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 2) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 2) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))))
4
(+ 4 (* -12 a))
(+ 4 (* a (- (* 2 a) 12)))
(+ 4 (* a (- (* 2 a) 12)))
4
(+ 4 (* 4 a))
(+ 4 (* a (+ 4 a)))
(+ 4 (* a (+ 4 a)))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))
(* 4 (pow a 2))
(* (pow a 2) (+ 4 (* 4 a)))
(* (pow a 2) (+ 4 (* a (+ 4 a))))
(* (pow a 2) (+ 4 (* a (+ 4 a))))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))
(* (pow b 2) (+ 4 (pow b 2)))
(+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2))))
(+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2))))
(+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2))))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(* b (+ 4 (pow b 2)))
(+ (* -12 (* a b)) (* b (+ 4 (pow b 2))))
(+ (* a (+ (* -12 b) (* 2 (* a b)))) (* b (+ 4 (pow b 2))))
(+ (* a (+ (* -12 b) (* 2 (* a b)))) (* b (+ 4 (pow b 2))))
(* (pow b 2) (+ 4 (pow b 2)))
(+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2))))
(+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 4 (pow b 2))))
(+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (* (pow b 2) (+ 4 (pow b 2))))
(* 2 (pow a 2))
(* 2 (pow a 2))
(* 2 (pow a 2))
(* 2 (pow a 2))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(+ 4 (pow b 2))
(+ 4 (+ (* -12 a) (pow b 2)))
(+ 4 (+ (* -12 a) (pow b 2)))
(+ 4 (+ (* -12 a) (pow b 2)))
(* 4 b)
(+ (* -12 (* a b)) (* 4 b))
(+ (* 4 b) (* a (+ (* -12 b) (* 2 (* a b)))))
(+ (* 4 b) (* a (+ (* -12 b) (* 2 (* a b)))))
(* 4 (pow b 2))
(+ (* -12 (* a (pow b 2))) (* 4 (pow b 2)))
(+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))))
(+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))))
(* 2 (pow a 2))
(* (pow a 2) (- 2 (* 12 (/ 1 a))))
(* (pow a 2) (- (+ 2 (/ 4 (pow a 2))) (* 12 (/ 1 a))))
(* (pow a 2) (- (+ 2 (/ 4 (pow a 2))) (* 12 (/ 1 a))))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(* -12 (* a (pow b 2)))
(* a (+ (* -12 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) a)))
(* a (+ (* -12 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) a)))
(* a (+ (* -12 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) a)))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* -12 (/ b a)) (* 2 b)))
(* (pow a 2) (+ (* -12 (/ b a)) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2)))))
(* (pow a 2) (+ (* -12 (/ b a)) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(* 2 (pow a 2))
(* 2 (pow a 2))
(* 2 (pow a 2))
(* 2 (pow a 2))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(* -12 a)
(* a (- (+ (* 4 (/ 1 a)) (/ (pow b 2) a)) 12))
(* a (- (+ (* 4 (/ 1 a)) (/ (pow b 2) a)) 12))
(* a (- (+ (* 4 (/ 1 a)) (/ (pow b 2) a)) 12))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* -12 (/ b a)) (* 2 b)))
(* (pow a 2) (+ (* -12 (/ b a)) (+ (* 2 b) (* 4 (/ b (pow a 2))))))
(* (pow a 2) (+ (* -12 (/ b a)) (+ (* 2 b) (* 4 (/ b (pow a 2))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(* 2 (pow a 2))
(* (pow a 2) (- 2 (* 12 (/ 1 a))))
(* (pow a 2) (+ 2 (* -1 (/ (- 12 (* 4 (/ 1 a))) a))))
(* (pow a 2) (+ 2 (* -1 (/ (- 12 (* 4 (/ 1 a))) a))))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(* -12 (* a (pow b 2)))
(* -1 (* a (+ (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (* 12 (pow b 2)))))
(* -1 (* a (+ (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (* 12 (pow b 2)))))
(* -1 (* a (+ (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (* 12 (pow b 2)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* -12 (/ b a)) (* 2 b)))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b)) a)) (* 2 b)))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b)) a)) (* 2 b)))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(* 2 (pow a 2))
(* 2 (pow a 2))
(* 2 (pow a 2))
(* 2 (pow a 2))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(* -12 a)
(* -1 (* a (+ 12 (* -1 (/ (+ 4 (pow b 2)) a)))))
(* -1 (* a (+ 12 (* -1 (/ (+ 4 (pow b 2)) a)))))
(* -1 (* a (+ 12 (* -1 (/ (+ 4 (pow b 2)) a)))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* -12 (/ b a)) (* 2 b)))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 (/ b a)) (* 12 b)) a)) (* 2 b)))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 (/ b a)) (* 12 b)) a)) (* 2 b)))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
Outputs
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
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(* -1 (* a (+ (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (* 12 (pow b 2)))))
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(pow a 4)
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(pow a 4)
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(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
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(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
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(pow a 4)
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(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
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(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
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(pow a 4)
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(pow a 4)
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(pow a 4)
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(pow a 4)
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(pow a 4)
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(* 2 (* (pow a 2) b))
(*.f64 (*.f64 (*.f64 b a) a) #s(literal 2 binary64))
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(*.f64 (*.f64 (*.f64 b (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) a))) a) a)
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(pow a 4)
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(pow a 2)
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(pow a 2)
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(pow a 2)
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(* -12 a)
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(* -1 (* a (+ 12 (* -1 (/ (+ 4 (pow b 2)) a)))))
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rewrite245.0ms (3%)

Memory
-6.6MiB live, 186.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047615
076605
1375605
23357605
08909545
Stop Event
iter limit
node limit
iter limit
Counts
23 → 449
Calls
Call 1
Inputs
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(fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))
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(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #s(literal 1 binary64))
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(*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))
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Outputs
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eval297.0ms (3.6%)

Memory
28.1MiB live, 299.0MiB allocated
Compiler

Compiled 42 655 to 3 035 computations (92.9% saved)

prune86.0ms (1%)

Memory
-37.6MiB live, 101.7MiB allocated
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New1 201141 215
Fresh202
Picked505
Done000
Total1 208141 222
Accuracy
100.0%
Counts
1 222 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.2%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (pow.f64 b #s(literal 3 binary64)) b (*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b))) #s(literal 1 binary64))
76.8%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64))
84.2%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64))
92.1%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (*.f64 (*.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a)) a) a)) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64))
61.8%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) #s(approx (+ (* b b) (+ (* -12 a) 4)) (*.f64 (-.f64 (fma.f64 (/.f64 b a) b (/.f64 #s(literal 4 binary64) a)) #s(literal 12 binary64)) a)))) #s(literal 1 binary64))
69.0%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
39.8%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #s(literal 1 binary64))
47.1%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))
43.9%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))
85.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
69.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
64.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
45.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64)))
50.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 a #s(literal 4 binary64)))
Compiler

Compiled 418 to 310 computations (25.8% saved)

simplify231.0ms (2.8%)

Memory
-13.1MiB live, 105.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 b b) #s(approx (+ (* b b) (+ (* -12 a) 4)) (*.f64 (-.f64 (fma.f64 (/.f64 b a) b (/.f64 #s(literal 4 binary64) a)) #s(literal 12 binary64)) a)))
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) #s(approx (+ (* b b) (+ (* -12 a) 4)) (*.f64 (-.f64 (fma.f64 (/.f64 b a) b (/.f64 #s(literal 4 binary64) a)) #s(literal 12 binary64)) a))))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) #s(approx (+ (* b b) (+ (* -12 a) 4)) (*.f64 (-.f64 (fma.f64 (/.f64 b a) b (/.f64 #s(literal 4 binary64) a)) #s(literal 12 binary64)) a)))) #s(literal 1 binary64))
cost-diff1536
(*.f64 (-.f64 (fma.f64 (/.f64 b a) b (/.f64 #s(literal 4 binary64) a)) #s(literal 12 binary64)) a)
cost-diff0
(fma.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64))
cost-diff192
(fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))
cost-diff-5504
(*.f64 (*.f64 a a) (*.f64 a a))
cost-diff0
(*.f64 a a)
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a)))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
cost-diff0
(*.f64 (*.f64 b b) #s(literal 4 binary64))
cost-diff0
#s(approx (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (*.f64 (*.f64 b b) #s(literal 4 binary64)))
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (*.f64 (*.f64 b b) #s(literal 4 binary64))))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))
cost-diff192
(fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))
cost-diff192
(fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b))
cost-diff192
(fma.f64 b #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a))
cost-diff832
(*.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a)) a)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0761068
01131059
12201049
2473998
31331974
43610942
55535932
08368832
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (*.f64 (*.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a)) a) a)) b (*.f64 (*.f64 a a) (fma.f64 a 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) (- 1 (* 3 a)))))) (fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (*.f64 (*.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a)) a) a)) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))))
(fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (*.f64 (*.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a)) a) a)) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))
#s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (*.f64 (*.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a)) a) a))
(*.f64 (*.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a)) a) a)
(*.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a)) a)
(fma.f64 b #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a))
b
#s(literal 2 binary64)
(/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a)
(fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b))
(/.f64 (fma.f64 b b #s(literal 4 binary64)) a)
(fma.f64 b b #s(literal 4 binary64))
#s(literal 4 binary64)
a
(*.f64 #s(literal -12 binary64) b)
#s(literal -12 binary64)
(*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))
(*.f64 a a)
(fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))
(fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (*.f64 (*.f64 b b) #s(literal 4 binary64))))
#s(approx (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (*.f64 (*.f64 b b) #s(literal 4 binary64)))
(*.f64 (*.f64 b b) #s(literal 4 binary64))
(*.f64 b b)
b
#s(literal 4 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a)))
(*.f64 (*.f64 a a) (*.f64 a a))
(*.f64 a a)
a
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b (*.f64 (*.f64 a a) (fma.f64 a 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) (- 1 (* 3 a)))))) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))))
(fma.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))
(*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b)
#s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64))
#s(literal 4 binary64)
b
(*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))
(*.f64 a a)
a
(fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))
(fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) #s(approx (+ (* b b) (+ (* -12 a) 4)) (*.f64 (-.f64 (fma.f64 (/.f64 b a) b (/.f64 #s(literal 4 binary64) a)) #s(literal 12 binary64)) a)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) #s(approx (+ (* b b) (+ (* -12 a) 4)) (*.f64 (-.f64 (fma.f64 (/.f64 b a) b (/.f64 #s(literal 4 binary64) a)) #s(literal 12 binary64)) a))))
(*.f64 (*.f64 b b) #s(approx (+ (* b b) (+ (* -12 a) 4)) (*.f64 (-.f64 (fma.f64 (/.f64 b a) b (/.f64 #s(literal 4 binary64) a)) #s(literal 12 binary64)) a)))
(*.f64 b b)
b
#s(approx (+ (* b b) (+ (* -12 a) 4)) (*.f64 (-.f64 (fma.f64 (/.f64 b a) b (/.f64 #s(literal 4 binary64) a)) #s(literal 12 binary64)) a))
(*.f64 (-.f64 (fma.f64 (/.f64 b a) b (/.f64 #s(literal 4 binary64) a)) #s(literal 12 binary64)) a)
(-.f64 (fma.f64 (/.f64 b a) b (/.f64 #s(literal 4 binary64) a)) #s(literal 12 binary64))
(fma.f64 (/.f64 b a) b (/.f64 #s(literal 4 binary64) a))
(/.f64 b a)
a
(/.f64 #s(literal 4 binary64) a)
#s(literal 4 binary64)
#s(literal 12 binary64)
#s(literal 1 binary64)
Outputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (*.f64 (*.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a)) a) a)) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b (pow.f64 b #s(literal 3 binary64)))) b (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #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) (- 1 (* 3 a)))))) (fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (*.f64 (*.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a)) a) a)) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b (pow.f64 b #s(literal 3 binary64)))) b (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a))))
(fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (*.f64 (*.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a)) a) a)) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))
(fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b (pow.f64 b #s(literal 3 binary64)))) b (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a)))
#s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (*.f64 (*.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a)) a) a))
#s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b (pow.f64 b #s(literal 3 binary64))))
(*.f64 (*.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a)) a) a)
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b (pow.f64 b #s(literal 3 binary64)))
(*.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a)) a)
(*.f64 (fma.f64 #s(literal 2 binary64) a (+.f64 #s(literal -12 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) a))) b)
(fma.f64 b #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a))
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal -12 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) a)) a) #s(literal 2 binary64)) b)
b
#s(literal 2 binary64)
(/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a)
(*.f64 (/.f64 (+.f64 #s(literal -12 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) a)) a) b)
(fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b))
(*.f64 (+.f64 #s(literal -12 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) a)) b)
(/.f64 (fma.f64 b b #s(literal 4 binary64)) a)
(fma.f64 b b #s(literal 4 binary64))
#s(literal 4 binary64)
a
(*.f64 #s(literal -12 binary64) b)
#s(literal -12 binary64)
(*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))
(*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a))
(*.f64 a a)
(fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))
(fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64))
(fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (*.f64 #s(literal 4 binary64) (*.f64 b b)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (*.f64 (*.f64 b b) #s(literal 4 binary64))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (*.f64 #s(literal 4 binary64) (*.f64 b b))))
#s(approx (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (*.f64 (*.f64 b b) #s(literal 4 binary64)))
#s(approx (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
(*.f64 (*.f64 b b) #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) (*.f64 b b))
(*.f64 b b)
b
#s(literal 4 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.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) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64)))
(*.f64 (*.f64 a a) (*.f64 a a))
(pow.f64 a #s(literal 4 binary64))
(*.f64 a a)
a
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #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) (- 1 (* 3 a)))))) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a))))
(fma.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))
(fma.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a)))
(*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b)
#s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64))
#s(literal 4 binary64)
b
(*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))
(*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a))
(*.f64 a a)
a
(fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))
(fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64))
(fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) #s(approx (+ (* b b) (+ (* -12 a) 4)) (*.f64 (-.f64 (fma.f64 (/.f64 b a) b (/.f64 #s(literal 4 binary64) a)) #s(literal 12 binary64)) a)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 #s(approx (+ (* b b) (+ (* -12 a) 4)) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64)))) (*.f64 b b))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) #s(approx (+ (* b b) (+ (* -12 a) 4)) (*.f64 (-.f64 (fma.f64 (/.f64 b a) b (/.f64 #s(literal 4 binary64) a)) #s(literal 12 binary64)) a))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 #s(approx (+ (* b b) (+ (* -12 a) 4)) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64)))) (*.f64 b b)))
(*.f64 (*.f64 b b) #s(approx (+ (* b b) (+ (* -12 a) 4)) (*.f64 (-.f64 (fma.f64 (/.f64 b a) b (/.f64 #s(literal 4 binary64) a)) #s(literal 12 binary64)) a)))
(*.f64 #s(approx (+ (* b b) (+ (* -12 a) 4)) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64)))) (*.f64 b b))
(*.f64 b b)
b
#s(approx (+ (* b b) (+ (* -12 a) 4)) (*.f64 (-.f64 (fma.f64 (/.f64 b a) b (/.f64 #s(literal 4 binary64) a)) #s(literal 12 binary64)) a))
#s(approx (+ (* b b) (+ (* -12 a) 4)) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))))
(*.f64 (-.f64 (fma.f64 (/.f64 b a) b (/.f64 #s(literal 4 binary64) a)) #s(literal 12 binary64)) a)
(fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64)))
(-.f64 (fma.f64 (/.f64 b a) b (/.f64 #s(literal 4 binary64) a)) #s(literal 12 binary64))
(fma.f64 (/.f64 b a) b (/.f64 #s(literal 4 binary64) a))
(/.f64 b a)
a
(/.f64 #s(literal 4 binary64) a)
#s(literal 4 binary64)
#s(literal 12 binary64)
#s(literal 1 binary64)

localize188.0ms (2.3%)

Memory
25.9MiB live, 139.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0625
(fma.f64 (/.f64 b a) b (/.f64 #s(literal 4 binary64) a))
accuracy4.307513714972602
(*.f64 (*.f64 b b) #s(approx (+ (* b b) (+ (* -12 a) 4)) (*.f64 (-.f64 (fma.f64 (/.f64 b a) b (/.f64 #s(literal 4 binary64) a)) #s(literal 12 binary64)) a)))
accuracy4.80913456354105
(*.f64 (-.f64 (fma.f64 (/.f64 b a) b (/.f64 #s(literal 4 binary64) a)) #s(literal 12 binary64)) a)
accuracy27.051307590604104
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) #s(approx (+ (* b b) (+ (* -12 a) 4)) (*.f64 (-.f64 (fma.f64 (/.f64 b a) b (/.f64 #s(literal 4 binary64) a)) #s(literal 12 binary64)) a))))
accuracy0.056972509768442016
(*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))
accuracy4.276460691656673
(*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b)
accuracy9.413818492068414
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))))
accuracy34.236041795194396
#s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64))
accuracy0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
accuracy0
(*.f64 a a)
accuracy0.11166000976844201
(*.f64 (*.f64 a a) (*.f64 a a))
accuracy28.211212882354022
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a)))
accuracy0
(*.f64 b b)
accuracy0.026386279305326048
(*.f64 (*.f64 b b) #s(literal 4 binary64))
accuracy9.413818492068414
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (*.f64 (*.f64 b b) #s(literal 4 binary64))))
accuracy31.45888116722993
#s(approx (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (*.f64 (*.f64 b b) #s(literal 4 binary64)))
accuracy2.234951099808843
(/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a)
accuracy3.115433830611316
(*.f64 (*.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a)) a) a)
accuracy3.56670588342332
(*.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a)) a)
accuracy3.7377150908029986
(/.f64 (fma.f64 b b #s(literal 4 binary64)) a)
Samples
98.0ms230×0valid
11.0ms16×1valid
9.0ms10×2valid
Compiler

Compiled 714 to 62 computations (91.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 91.0ms
ival-mult: 37.0ms (40.6% of total)
ival-add: 35.0ms (38.4% of total)
ival-div: 7.0ms (7.7% of total)
adjust: 4.0ms (4.4% of total)
ival-sub: 4.0ms (4.4% of total)
ival-pow2: 3.0ms (3.3% of total)
exact: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series82.0ms (1%)

Memory
-13.0MiB live, 31.1MiB allocated
Counts
27 → 564
Calls
Call 1
Inputs
#s(alt (*.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a)) a) (patch (*.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a)) a) #<representation binary64>) () ())
#s(alt (fma.f64 b #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a)) (patch (fma.f64 b #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) (patch (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) #<representation binary64>) () ())
#s(alt (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) (patch (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (*.f64 (*.f64 b b) #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) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (*.f64 (*.f64 b b) #s(literal 4 binary64))) (patch #s(approx (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (*.f64 (*.f64 b b) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 b b) #s(literal 4 binary64)) (patch (*.f64 (*.f64 b b) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a))) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #<representation binary64>) () ())
#s(alt (*.f64 a a) (patch (*.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(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #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) (- 1 (* 3 a)))))) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) (patch (fma.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (fma.f64 (/.f64 b a) b (/.f64 #s(literal 4 binary64) a)) #s(literal 12 binary64)) a) (patch (*.f64 (-.f64 (fma.f64 (/.f64 b a) b (/.f64 #s(literal 4 binary64) a)) #s(literal 12 binary64)) a) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) #s(approx (+ (* b b) (+ (* -12 a) 4)) (*.f64 (-.f64 (fma.f64 (/.f64 b a) b (/.f64 #s(literal 4 binary64) a)) #s(literal 12 binary64)) a)))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) #s(approx (+ (* b b) (+ (* -12 a) 4)) (*.f64 (-.f64 (fma.f64 (/.f64 b a) b (/.f64 #s(literal 4 binary64) a)) #s(literal 12 binary64)) a)))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) #s(approx (+ (* b b) (+ (* -12 a) 4)) (*.f64 (-.f64 (fma.f64 (/.f64 b a) b (/.f64 #s(literal 4 binary64) a)) #s(literal 12 binary64)) a)))) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) #s(approx (+ (* b b) (+ (* -12 a) 4)) (*.f64 (-.f64 (fma.f64 (/.f64 b a) b (/.f64 #s(literal 4 binary64) a)) #s(literal 12 binary64)) a)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 b b) #s(approx (+ (* b b) (+ (* -12 a) 4)) (*.f64 (-.f64 (fma.f64 (/.f64 b a) b (/.f64 #s(literal 4 binary64) a)) #s(literal 12 binary64)) a))) (patch (*.f64 (*.f64 b b) #s(approx (+ (* b b) (+ (* -12 a) 4)) (*.f64 (-.f64 (fma.f64 (/.f64 b a) b (/.f64 #s(literal 4 binary64) a)) #s(literal 12 binary64)) a))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) (patch (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a)) a) a) (patch (*.f64 (*.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a)) a) a) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a) (patch (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a) #<representation binary64>) () ())
#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) (patch #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) (patch (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))) (patch (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 b a) b (/.f64 #s(literal 4 binary64) a)) (patch (fma.f64 (/.f64 b a) b (/.f64 #s(literal 4 binary64) a)) #<representation binary64>) () ())
Outputs
#s(alt (* a (* b (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a))))) (taylor 0 b) (#s(alt (*.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a)) a) (patch (*.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a)) a) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* a (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))) (/ (pow b 2) a))) (taylor 0 b) (#s(alt (*.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a)) a) (patch (*.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a)) a) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* a (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))) (/ (pow b 2) a))) (taylor 0 b) (#s(alt (*.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a)) a) (patch (*.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a)) a) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* a (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))) (/ (pow b 2) a))) (taylor 0 b) (#s(alt (*.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a)) a) (patch (*.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a)) a) #<representation binary64>) () ())) ())
#s(alt (* b (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))) (taylor 0 b) (#s(alt (fma.f64 b #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a)) (patch (fma.f64 b #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a)) #<representation binary64>) () ())) ())
#s(alt (* b (- (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))) (* 12 (/ 1 a)))) (taylor 0 b) (#s(alt (fma.f64 b #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a)) (patch (fma.f64 b #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a)) #<representation binary64>) () ())) ())
#s(alt (* b (- (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))) (* 12 (/ 1 a)))) (taylor 0 b) (#s(alt (fma.f64 b #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a)) (patch (fma.f64 b #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a)) #<representation binary64>) () ())) ())
#s(alt (* b (- (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))) (* 12 (/ 1 a)))) (taylor 0 b) (#s(alt (fma.f64 b #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a)) (patch (fma.f64 b #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a)) #<representation binary64>) () ())) ())
#s(alt (* b (- (* 4 (/ 1 a)) 12)) (taylor 0 b) (#s(alt (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) (patch (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (* b (- (+ (* 4 (/ 1 a)) (/ (pow b 2) a)) 12)) (taylor 0 b) (#s(alt (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) (patch (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (* b (- (+ (* 4 (/ 1 a)) (/ (pow b 2) a)) 12)) (taylor 0 b) (#s(alt (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) (patch (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (* b (- (+ (* 4 (/ 1 a)) (/ (pow b 2) a)) 12)) (taylor 0 b) (#s(alt (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) (patch (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1) (taylor 0 b) (#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1) (taylor 0 b) (#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) (taylor 0 b) (#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) (taylor 0 b) (#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) (taylor 0 b) (#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) (taylor 0 b) (#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (taylor 0 b) (#s(alt #s(approx (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (*.f64 (*.f64 b b) #s(literal 4 binary64))) (patch #s(approx (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (*.f64 (*.f64 b b) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) (taylor 0 b) (#s(alt #s(approx (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (*.f64 (*.f64 b b) #s(literal 4 binary64))) (patch #s(approx (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (*.f64 (*.f64 b b) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) (taylor 0 b) (#s(alt #s(approx (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (*.f64 (*.f64 b b) #s(literal 4 binary64))) (patch #s(approx (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (*.f64 (*.f64 b b) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) (taylor 0 b) (#s(alt #s(approx (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (*.f64 (*.f64 b b) #s(literal 4 binary64))) (patch #s(approx (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (*.f64 (*.f64 b b) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow b 2)) (taylor 0 b) (#s(alt (*.f64 (*.f64 b b) #s(literal 4 binary64)) (patch (*.f64 (*.f64 b b) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow b 2)) (taylor 0 b) (#s(alt (*.f64 (*.f64 b b) #s(literal 4 binary64)) (patch (*.f64 (*.f64 b b) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow b 2)) (taylor 0 b) (#s(alt (*.f64 (*.f64 b b) #s(literal 4 binary64)) (patch (*.f64 (*.f64 b b) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow b 2)) (taylor 0 b) (#s(alt (*.f64 (*.f64 b b) #s(literal 4 binary64)) (patch (*.f64 (*.f64 b b) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1) (taylor 0 b) (#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* (pow a 2) (+ (* -12 (/ b a)) (* 2 b))) (taylor -inf a) (#s(alt (*.f64 (*.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a)) a) a) (patch (*.f64 (*.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a)) a) a) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b)) a)) (* 2 b))) (taylor -inf a) (#s(alt (*.f64 (*.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a)) a) a) (patch (*.f64 (*.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a)) a) a) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b)) a)) (* 2 b))) (taylor -inf a) (#s(alt (*.f64 (*.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a)) a) a) (patch (*.f64 (*.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a)) a) a) #<representation binary64>) () ())) ())
#s(alt (* -12 (/ b a)) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a) (patch (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b)) a)) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a) (patch (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b)) a)) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a) (patch (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b)) a)) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a) (patch (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow a 2)) (taylor -inf a) (#s(alt #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) (patch #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (- 2 (* 12 (/ 1 a)))) (taylor -inf a) (#s(alt #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) (patch #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 2 (* -1 (/ (- 12 (* 4 (/ 1 a))) a)))) (taylor -inf a) (#s(alt #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) (patch #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 2 (* -1 (/ (- 12 (* 4 (/ 1 a))) a)))) (taylor -inf a) (#s(alt #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) (patch #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow a 2) b)) (taylor -inf a) (#s(alt (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) (patch (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* -12 (/ b a)) (* 2 b))) (taylor -inf a) (#s(alt (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) (patch (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* -1 (/ (+ (* -4 (/ b a)) (* 12 b)) a)) (* 2 b))) (taylor -inf a) (#s(alt (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) (patch (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* -1 (/ (+ (* -4 (/ b a)) (* 12 b)) a)) (* 2 b))) (taylor -inf a) (#s(alt (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) (patch (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor -inf a) (#s(alt (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))) (patch (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* 4 (/ 1 a)))) (taylor -inf a) (#s(alt (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))) (patch (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) (taylor -inf a) (#s(alt (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))) (patch (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) (taylor -inf a) (#s(alt (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))) (patch (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (pow b 2)) 4) a)) (taylor -inf a) (#s(alt (fma.f64 (/.f64 b a) b (/.f64 #s(literal 4 binary64) a)) (patch (fma.f64 (/.f64 b a) b (/.f64 #s(literal 4 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (pow b 2)) 4) a)) (taylor -inf a) (#s(alt (fma.f64 (/.f64 b a) b (/.f64 #s(literal 4 binary64) a)) (patch (fma.f64 (/.f64 b a) b (/.f64 #s(literal 4 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (pow b 2)) 4) a)) (taylor -inf a) (#s(alt (fma.f64 (/.f64 b a) b (/.f64 #s(literal 4 binary64) a)) (patch (fma.f64 (/.f64 b a) b (/.f64 #s(literal 4 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (pow b 2)) 4) a)) (taylor -inf a) (#s(alt (fma.f64 (/.f64 b a) b (/.f64 #s(literal 4 binary64) a)) (patch (fma.f64 (/.f64 b a) b (/.f64 #s(literal 4 binary64) a)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
6.0ms
b
@inf
((* (+ (* b 2) (/ (+ (* (/ (+ (* b b) 4) a) b) (* -12 b)) a)) a) (+ (* b 2) (/ (+ (* (/ (+ (* b b) 4) a) b) (* -12 b)) a)) (+ (* (/ (+ (* b b) 4) a) b) (* -12 b)) (+ (* a a) (+ (* a 4) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (* (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* a a) (* (* a a) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (* (- (+ (* (/ b a) b) (/ 4 a)) 12) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (/ (+ (* b b) 4) a) (* (* (+ (* b 2) (/ (+ (* (/ (+ (* b b) 4) a) b) (* -12 b)) a)) a) a) (/ (+ (* (/ (+ (* b b) 4) a) b) (* -12 b)) a) (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) (* (* a a) (+ (* a a) (+ (* a 4) 4))) (+ (* (/ b a) b) (/ 4 a)))
5.0ms
b
@-inf
((* (+ (* b 2) (/ (+ (* (/ (+ (* b b) 4) a) b) (* -12 b)) a)) a) (+ (* b 2) (/ (+ (* (/ (+ (* b b) 4) a) b) (* -12 b)) a)) (+ (* (/ (+ (* b b) 4) a) b) (* -12 b)) (+ (* a a) (+ (* a 4) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (* (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* a a) (* (* a a) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (* (- (+ (* (/ b a) b) (/ 4 a)) 12) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (/ (+ (* b b) 4) a) (* (* (+ (* b 2) (/ (+ (* (/ (+ (* b b) 4) a) b) (* -12 b)) a)) a) a) (/ (+ (* (/ (+ (* b b) 4) a) b) (* -12 b)) a) (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) (* (* a a) (+ (* a a) (+ (* a 4) 4))) (+ (* (/ b a) b) (/ 4 a)))
5.0ms
b
@0
((* (+ (* b 2) (/ (+ (* (/ (+ (* b b) 4) a) b) (* -12 b)) a)) a) (+ (* b 2) (/ (+ (* (/ (+ (* b b) 4) a) b) (* -12 b)) a)) (+ (* (/ (+ (* b b) 4) a) b) (* -12 b)) (+ (* a a) (+ (* a 4) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (* (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* a a) (* (* a a) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (* (- (+ (* (/ b a) b) (/ 4 a)) 12) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (/ (+ (* b b) 4) a) (* (* (+ (* b 2) (/ (+ (* (/ (+ (* b b) 4) a) b) (* -12 b)) a)) a) a) (/ (+ (* (/ (+ (* b b) 4) a) b) (* -12 b)) a) (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) (* (* a a) (+ (* a a) (+ (* a 4) 4))) (+ (* (/ b a) b) (/ 4 a)))
4.0ms
a
@-inf
((* (+ (* b 2) (/ (+ (* (/ (+ (* b b) 4) a) b) (* -12 b)) a)) a) (+ (* b 2) (/ (+ (* (/ (+ (* b b) 4) a) b) (* -12 b)) a)) (+ (* (/ (+ (* b b) 4) a) b) (* -12 b)) (+ (* a a) (+ (* a 4) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (* (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* a a) (* (* a a) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (* (- (+ (* (/ b a) b) (/ 4 a)) 12) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (/ (+ (* b b) 4) a) (* (* (+ (* b 2) (/ (+ (* (/ (+ (* b b) 4) a) b) (* -12 b)) a)) a) a) (/ (+ (* (/ (+ (* b b) 4) a) b) (* -12 b)) a) (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) (* (* a a) (+ (* a a) (+ (* a 4) 4))) (+ (* (/ b a) b) (/ 4 a)))
3.0ms
a
@inf
((* (+ (* b 2) (/ (+ (* (/ (+ (* b b) 4) a) b) (* -12 b)) a)) a) (+ (* b 2) (/ (+ (* (/ (+ (* b b) 4) a) b) (* -12 b)) a)) (+ (* (/ (+ (* b b) 4) a) b) (* -12 b)) (+ (* a a) (+ (* a 4) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (* (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* a a) (* (* a a) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (* (- (+ (* (/ b a) b) (/ 4 a)) 12) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (/ (+ (* b b) 4) a) (* (* (+ (* b 2) (/ (+ (* (/ (+ (* b b) 4) a) b) (* -12 b)) a)) a) a) (/ (+ (* (/ (+ (* b b) 4) a) b) (* -12 b)) a) (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) (* (* a a) (+ (* a a) (+ (* a 4) 4))) (+ (* (/ b a) b) (/ 4 a)))

simplify245.0ms (3%)

Memory
-1.4MiB live, 192.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03329867
110649410
233208809
081138064
Stop Event
iter limit
node limit
Counts
564 → 564
Calls
Call 1
Inputs
(* a (* b (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))))
(* b (+ (* a (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))) (/ (pow b 2) a)))
(* b (+ (* a (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))) (/ (pow b 2) a)))
(* b (+ (* a (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))) (/ (pow b 2) a)))
(* b (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a))))
(* b (- (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))) (* 12 (/ 1 a))))
(* b (- (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))) (* 12 (/ 1 a))))
(* b (- (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))) (* 12 (/ 1 a))))
(* b (- (* 4 (/ 1 a)) 12))
(* b (- (+ (* 4 (/ 1 a)) (/ (pow b 2) a)) 12))
(* b (- (+ (* 4 (/ 1 a)) (/ (pow b 2) a)) 12))
(* b (- (+ (* 4 (/ 1 a)) (/ (pow b 2) a)) 12))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2))))
(+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))))
(+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))))
(+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2))))
(+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))))
(+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))))
(+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))))
(* a (- (* 4 (/ 1 a)) 12))
(+ (* a (- (* 4 (/ 1 a)) 12)) (pow b 2))
(+ (* a (- (* 4 (/ 1 a)) 12)) (pow b 2))
(+ (* a (- (* 4 (/ 1 a)) 12)) (pow b 2))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(* (pow b 2) (+ 4 (* -12 a)))
(* (pow b 2) (+ 4 (+ (* -12 a) (pow b 2))))
(* (pow b 2) (+ 4 (+ (* -12 a) (pow b 2))))
(* (pow b 2) (+ 4 (+ (* -12 a) (pow b 2))))
(/ 4 a)
(+ (* 4 (/ 1 a)) (/ (pow b 2) a))
(+ (* 4 (/ 1 a)) (/ (pow b 2) a))
(+ (* 4 (/ 1 a)) (/ (pow b 2) a))
(* (pow a 2) (* b (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))))
(* b (+ (* (pow a 2) (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))) (pow b 2)))
(* b (+ (* (pow a 2) (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))) (pow b 2)))
(* b (+ (* (pow a 2) (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))) (pow b 2)))
(/ (* b (- (* 4 (/ 1 a)) 12)) a)
(* b (- (+ (/ 4 (pow a 2)) (/ (pow b 2) (pow a 2))) (* 12 (/ 1 a))))
(* b (- (+ (/ 4 (pow a 2)) (/ (pow b 2) (pow a 2))) (* 12 (/ 1 a))))
(* b (- (+ (/ 4 (pow a 2)) (/ (pow b 2) (pow a 2))) (* 12 (/ 1 a))))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(/ 4 a)
(+ (* 4 (/ 1 a)) (/ (pow b 2) a))
(+ (* 4 (/ 1 a)) (/ (pow b 2) a))
(+ (* 4 (/ 1 a)) (/ (pow b 2) a))
(/ (pow b 3) a)
(* (pow b 3) (+ (/ 1 a) (/ (* a (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))) (pow b 2))))
(* (pow b 3) (+ (/ 1 a) (/ (* a (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))) (pow b 2))))
(* (pow b 3) (+ (/ 1 a) (/ (* a (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))) (pow b 2))))
(/ (pow b 3) (pow a 2))
(* (pow b 3) (- (+ (/ 1 (pow a 2)) (+ (* 2 (/ 1 (pow b 2))) (/ 4 (* (pow a 2) (pow b 2))))) (/ 12 (* a (pow b 2)))))
(* (pow b 3) (- (+ (/ 1 (pow a 2)) (+ (* 2 (/ 1 (pow b 2))) (/ 4 (* (pow a 2) (pow b 2))))) (/ 12 (* a (pow b 2)))))
(* (pow b 3) (- (+ (/ 1 (pow a 2)) (+ (* 2 (/ 1 (pow b 2))) (/ 4 (* (pow a 2) (pow b 2))))) (/ 12 (* a (pow b 2)))))
(/ (pow b 3) a)
(* (pow b 3) (- (+ (/ 1 a) (/ 4 (* a (pow b 2)))) (* 12 (/ 1 (pow b 2)))))
(* (pow b 3) (- (+ (/ 1 a) (/ 4 (* a (pow b 2)))) (* 12 (/ 1 (pow b 2)))))
(* (pow b 3) (- (+ (/ 1 a) (/ 4 (* a (pow b 2)))) (* 12 (/ 1 (pow b 2)))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (/ (* a (- (* 4 (/ 1 a)) 12)) (pow b 2))))
(* (pow b 2) (+ 1 (/ (* a (- (* 4 (/ 1 a)) 12)) (pow b 2))))
(* (pow b 2) (+ 1 (/ (* a (- (* 4 (/ 1 a)) 12)) (pow b 2))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(/ (pow b 2) a)
(* (pow b 2) (+ (/ 1 a) (* 4 (/ 1 (* a (pow b 2))))))
(* (pow b 2) (+ (/ 1 a) (* 4 (/ 1 (* a (pow b 2))))))
(* (pow b 2) (+ (/ 1 a) (* 4 (/ 1 (* a (pow b 2))))))
(pow b 3)
(* (pow b 3) (+ 1 (/ (* (pow a 2) (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))) (pow b 2))))
(* (pow b 3) (+ 1 (/ (* (pow a 2) (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))) (pow b 2))))
(* (pow b 3) (+ 1 (/ (* (pow a 2) (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))) (pow b 2))))
(/ (pow b 3) (pow a 2))
(* (pow b 3) (- (+ (/ 1 (pow a 2)) (/ 4 (* (pow a 2) (pow b 2)))) (/ 12 (* a (pow b 2)))))
(* (pow b 3) (- (+ (/ 1 (pow a 2)) (/ 4 (* (pow a 2) (pow b 2)))) (/ 12 (* a (pow b 2)))))
(* (pow b 3) (- (+ (/ 1 (pow a 2)) (/ 4 (* (pow a 2) (pow b 2)))) (/ 12 (* a (pow b 2)))))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(/ (pow b 2) a)
(* (pow b 2) (+ (/ 1 a) (* 4 (/ 1 (* a (pow b 2))))))
(* (pow b 2) (+ (/ 1 a) (* 4 (/ 1 (* a (pow b 2))))))
(* (pow b 2) (+ (/ 1 a) (* 4 (/ 1 (* a (pow b 2))))))
(/ (pow b 3) a)
(* -1 (* (pow b 3) (- (/ (* a (- (* 12 (/ 1 a)) (+ 2 (* 4 (/ 1 (pow a 2)))))) (pow b 2)) (/ 1 a))))
(* -1 (* (pow b 3) (- (/ (* a (- (* 12 (/ 1 a)) (+ 2 (* 4 (/ 1 (pow a 2)))))) (pow b 2)) (/ 1 a))))
(* -1 (* (pow b 3) (- (/ (* a (- (* 12 (/ 1 a)) (+ 2 (* 4 (/ 1 (pow a 2)))))) (pow b 2)) (/ 1 a))))
(/ (pow b 3) (pow a 2))
(* -1 (* (pow b 3) (- (/ 12 (* a (pow b 2))) (+ (/ 1 (pow a 2)) (+ (* 2 (/ 1 (pow b 2))) (/ 4 (* (pow a 2) (pow b 2))))))))
(* -1 (* (pow b 3) (- (/ 12 (* a (pow b 2))) (+ (/ 1 (pow a 2)) (+ (* 2 (/ 1 (pow b 2))) (/ 4 (* (pow a 2) (pow b 2))))))))
(* -1 (* (pow b 3) (- (/ 12 (* a (pow b 2))) (+ (/ 1 (pow a 2)) (+ (* 2 (/ 1 (pow b 2))) (/ 4 (* (pow a 2) (pow b 2))))))))
(/ (pow b 3) a)
(* -1 (* (pow b 3) (- (* 12 (/ 1 (pow b 2))) (+ (/ 1 a) (/ 4 (* a (pow b 2)))))))
(* -1 (* (pow b 3) (- (* 12 (/ 1 (pow b 2))) (+ (/ 1 a) (/ 4 (* a (pow b 2)))))))
(* -1 (* (pow b 3) (- (* 12 (/ 1 (pow b 2))) (+ (/ 1 a) (/ 4 (* a (pow b 2)))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (/ (* a (- (* 4 (/ 1 a)) 12)) (pow b 2))))
(* (pow b 2) (+ 1 (/ (* a (- (* 4 (/ 1 a)) 12)) (pow b 2))))
(* (pow b 2) (+ 1 (/ (* a (- (* 4 (/ 1 a)) 12)) (pow b 2))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(/ (pow b 2) a)
(* (pow b 2) (+ (/ 1 a) (* 4 (/ 1 (* a (pow b 2))))))
(* (pow b 2) (+ (/ 1 a) (* 4 (/ 1 (* a (pow b 2))))))
(* (pow b 2) (+ (/ 1 a) (* 4 (/ 1 (* a (pow b 2))))))
(pow b 3)
(* -1 (* (pow b 3) (- (/ (* (pow a 2) (- (* 12 (/ 1 a)) (+ 2 (* 4 (/ 1 (pow a 2)))))) (pow b 2)) 1)))
(* -1 (* (pow b 3) (- (/ (* (pow a 2) (- (* 12 (/ 1 a)) (+ 2 (* 4 (/ 1 (pow a 2)))))) (pow b 2)) 1)))
(* -1 (* (pow b 3) (- (/ (* (pow a 2) (- (* 12 (/ 1 a)) (+ 2 (* 4 (/ 1 (pow a 2)))))) (pow b 2)) 1)))
(/ (pow b 3) (pow a 2))
(* -1 (* (pow b 3) (- (/ 12 (* a (pow b 2))) (+ (/ 1 (pow a 2)) (/ 4 (* (pow a 2) (pow b 2)))))))
(* -1 (* (pow b 3) (- (/ 12 (* a (pow b 2))) (+ (/ 1 (pow a 2)) (/ 4 (* (pow a 2) (pow b 2)))))))
(* -1 (* (pow b 3) (- (/ 12 (* a (pow b 2))) (+ (/ 1 (pow a 2)) (/ 4 (* (pow a 2) (pow b 2)))))))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(/ (pow b 2) a)
(* (pow b 2) (+ (/ 1 a) (* 4 (/ 1 (* a (pow b 2))))))
(* (pow b 2) (+ (/ 1 a) (* 4 (/ 1 (* a (pow b 2))))))
(* (pow b 2) (+ (/ 1 a) (* 4 (/ 1 (* a (pow b 2))))))
(/ (* b (+ 4 (pow b 2))) a)
(/ (+ (* -12 (* a b)) (* b (+ 4 (pow b 2)))) a)
(/ (+ (* a (+ (* -12 b) (* 2 (* a b)))) (* b (+ 4 (pow b 2)))) a)
(/ (+ (* a (+ (* -12 b) (* 2 (* a b)))) (* b (+ 4 (pow b 2)))) a)
(/ (* b (+ 4 (pow b 2))) (pow a 2))
(/ (+ (* -12 (* a b)) (* b (+ 4 (pow b 2)))) (pow a 2))
(/ (+ (* a (+ (* -12 b) (* 2 (* a b)))) (* b (+ 4 (pow b 2)))) (pow a 2))
(/ (+ (* a (+ (* -12 b) (* 2 (* a b)))) (* b (+ 4 (pow b 2)))) (pow a 2))
(/ (* b (+ 4 (pow b 2))) a)
(/ (+ (* -12 (* a b)) (* b (+ 4 (pow b 2)))) a)
(/ (+ (* -12 (* a b)) (* b (+ 4 (pow b 2)))) a)
(/ (+ (* -12 (* a b)) (* b (+ 4 (pow b 2)))) a)
4
(+ 4 (* 4 a))
(+ 4 (* a (+ 4 a)))
(+ 4 (* a (+ 4 a)))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))
(* 4 (pow b 2))
(+ (* -12 (* a (pow b 2))) (* 4 (pow b 2)))
(+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))))
(+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))
(* 4 (pow b 2))
(+ (* -12 (* a (pow b 2))) (* 4 (pow b 2)))
(+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))))
(+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))))
(+ 4 (pow b 2))
(+ 4 (+ (* -12 a) (pow b 2)))
(+ 4 (+ (* -12 a) (pow b 2)))
(+ 4 (+ (* -12 a) (pow b 2)))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))
(* (pow b 2) (+ 4 (pow b 2)))
(+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2))))
(+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2))))
(+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2))))
(/ (+ 4 (pow b 2)) a)
(/ (+ 4 (pow b 2)) a)
(/ (+ 4 (pow b 2)) a)
(/ (+ 4 (pow b 2)) a)
(* b (+ 4 (pow b 2)))
(+ (* -12 (* a b)) (* b (+ 4 (pow b 2))))
(+ (* a (+ (* -12 b) (* 2 (* a b)))) (* b (+ 4 (pow b 2))))
(+ (* a (+ (* -12 b) (* 2 (* a b)))) (* b (+ 4 (pow b 2))))
(/ (* b (+ 4 (pow b 2))) (pow a 2))
(/ (+ (* -12 (* a b)) (* b (+ 4 (pow b 2)))) (pow a 2))
(/ (+ (* -12 (* a b)) (* b (+ 4 (pow b 2)))) (pow a 2))
(/ (+ (* -12 (* a b)) (* b (+ 4 (pow b 2)))) (pow a 2))
4
(+ 4 (* -12 a))
(+ 4 (* a (- (* 2 a) 12)))
(+ 4 (* a (- (* 2 a) 12)))
(* 4 b)
(+ (* -12 (* a b)) (* 4 b))
(+ (* 4 b) (* a (+ (* -12 b) (* 2 (* a b)))))
(+ (* 4 b) (* a (+ (* -12 b) (* 2 (* a b)))))
(* 4 (pow a 2))
(* (pow a 2) (+ 4 (* 4 a)))
(* (pow a 2) (+ 4 (* a (+ 4 a))))
(* (pow a 2) (+ 4 (* a (+ 4 a))))
(/ (+ 4 (pow b 2)) a)
(/ (+ 4 (pow b 2)) a)
(/ (+ 4 (pow b 2)) a)
(/ (+ 4 (pow b 2)) a)
(* 2 (* a b))
(* a (+ (* -12 (/ b a)) (* 2 b)))
(* a (+ (* -12 (/ b a)) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2)))))
(* a (+ (* -12 (/ b a)) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2)))))
(* 2 b)
(+ (* -12 (/ b a)) (* 2 b))
(+ (* -12 (/ b a)) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2))))
(+ (* -12 (/ b a)) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2))))
(* -12 b)
(+ (* -12 b) (/ (* b (+ 4 (pow b 2))) a))
(+ (* -12 b) (/ (* b (+ 4 (pow b 2))) a))
(+ (* -12 b) (/ (* b (+ 4 (pow b 2))) a))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(* -12 a)
(* a (- (+ (* 4 (/ 1 a)) (/ (pow b 2) a)) 12))
(* a (- (+ (* 4 (/ 1 a)) (/ (pow b 2) a)) 12))
(* a (- (+ (* 4 (/ 1 a)) (/ (pow b 2) a)) 12))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(* -12 (* a (pow b 2)))
(* a (+ (* -12 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) a)))
(* a (+ (* -12 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) a)))
(* a (+ (* -12 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) a)))
(/ (+ 4 (pow b 2)) a)
(/ (+ 4 (pow b 2)) a)
(/ (+ 4 (pow b 2)) a)
(/ (+ 4 (pow b 2)) a)
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* -12 (/ b a)) (* 2 b)))
(* (pow a 2) (+ (* -12 (/ b a)) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2)))))
(* (pow a 2) (+ (* -12 (/ b a)) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2)))))
(* -12 (/ b a))
(/ (+ (* -12 b) (/ (* b (+ 4 (pow b 2))) a)) a)
(/ (+ (* -12 b) (/ (* b (+ 4 (pow b 2))) a)) a)
(/ (+ (* -12 b) (/ (* b (+ 4 (pow b 2))) a)) a)
(* 2 (pow a 2))
(* (pow a 2) (- 2 (* 12 (/ 1 a))))
(* (pow a 2) (- (+ 2 (/ 4 (pow a 2))) (* 12 (/ 1 a))))
(* (pow a 2) (- (+ 2 (/ 4 (pow a 2))) (* 12 (/ 1 a))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* -12 (/ b a)) (* 2 b)))
(* (pow a 2) (+ (* -12 (/ b a)) (+ (* 2 b) (* 4 (/ b (pow a 2))))))
(* (pow a 2) (+ (* -12 (/ b a)) (+ (* 2 b) (* 4 (/ b (pow a 2))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(/ (+ 4 (pow b 2)) a)
(/ (+ 4 (pow b 2)) a)
(/ (+ 4 (pow b 2)) a)
(/ (+ 4 (pow b 2)) a)
(* 2 (* a b))
(* -1 (* a (+ (* -2 b) (* 12 (/ b a)))))
(* -1 (* a (+ (* -2 b) (* -1 (/ (+ (* -12 b) (/ (* b (+ 4 (pow b 2))) a)) a)))))
(* -1 (* a (+ (* -2 b) (* -1 (/ (+ (* -12 b) (/ (* b (+ 4 (pow b 2))) a)) a)))))
(* 2 b)
(+ (* -12 (/ b a)) (* 2 b))
(+ (* -1 (/ (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b)) a)) (* 2 b))
(+ (* -1 (/ (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b)) a)) (* 2 b))
(* -12 b)
(+ (* -12 b) (/ (* b (+ 4 (pow b 2))) a))
(+ (* -12 b) (/ (* b (+ 4 (pow b 2))) a))
(+ (* -12 b) (/ (* b (+ 4 (pow b 2))) a))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(* -12 a)
(* -1 (* a (- (+ 12 (* -1 (/ (pow b 2) a))) (* 4 (/ 1 a)))))
(* -1 (* a (- (+ 12 (* -1 (/ (pow b 2) a))) (* 4 (/ 1 a)))))
(* -1 (* a (- (+ 12 (* -1 (/ (pow b 2) a))) (* 4 (/ 1 a)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(* -12 (* a (pow b 2)))
(* -1 (* a (+ (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (* 12 (pow b 2)))))
(* -1 (* a (+ (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (* 12 (pow b 2)))))
(* -1 (* a (+ (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (* 12 (pow b 2)))))
(/ (+ 4 (pow b 2)) a)
(/ (+ 4 (pow b 2)) a)
(/ (+ 4 (pow b 2)) a)
(/ (+ 4 (pow b 2)) a)
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* -12 (/ b a)) (* 2 b)))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b)) a)) (* 2 b)))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b)) a)) (* 2 b)))
(* -12 (/ b a))
(* -1 (/ (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b)) a))
(* -1 (/ (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b)) a))
(* -1 (/ (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b)) a))
(* 2 (pow a 2))
(* (pow a 2) (- 2 (* 12 (/ 1 a))))
(* (pow a 2) (+ 2 (* -1 (/ (- 12 (* 4 (/ 1 a))) a))))
(* (pow a 2) (+ 2 (* -1 (/ (- 12 (* 4 (/ 1 a))) a))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* -12 (/ b a)) (* 2 b)))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 (/ b a)) (* 12 b)) a)) (* 2 b)))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 (/ b a)) (* 12 b)) a)) (* 2 b)))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* -1 (/ (- (* -1 (pow b 2)) 4) a))
(* -1 (/ (- (* -1 (pow b 2)) 4) a))
(* -1 (/ (- (* -1 (pow b 2)) 4) a))
(* -1 (/ (- (* -1 (pow b 2)) 4) a))
Outputs
(* a (* b (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))))
(*.f64 (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64)) b) a)
(* b (+ (* a (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))) (/ (pow b 2) a)))
(*.f64 (fma.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64)) a (/.f64 (*.f64 b b) a)) b)
(* b (+ (* a (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))) (/ (pow b 2) a)))
(*.f64 (fma.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64)) a (/.f64 (*.f64 b b) a)) b)
(* b (+ (* a (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))) (/ (pow b 2) a)))
(*.f64 (fma.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64)) a (/.f64 (*.f64 b b) a)) b)
(* b (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a))))
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64)) b)
(* b (- (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))) (* 12 (/ 1 a))))
(*.f64 (fma.f64 (/.f64 b a) (/.f64 b a) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64))) b)
(* b (- (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))) (* 12 (/ 1 a))))
(*.f64 (fma.f64 (/.f64 b a) (/.f64 b a) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64))) b)
(* b (- (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))) (* 12 (/ 1 a))))
(*.f64 (fma.f64 (/.f64 b a) (/.f64 b a) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64))) b)
(* b (- (* 4 (/ 1 a)) 12))
(*.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) b)
(* b (- (+ (* 4 (/ 1 a)) (/ (pow b 2) a)) 12))
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 b b #s(literal 4 binary64)) #s(literal -12 binary64)) b)
(* b (- (+ (* 4 (/ 1 a)) (/ (pow b 2) a)) 12))
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 b b #s(literal 4 binary64)) #s(literal -12 binary64)) b)
(* b (- (+ (* 4 (/ 1 a)) (/ (pow b 2) a)) 12))
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 b b #s(literal 4 binary64)) #s(literal -12 binary64)) b)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
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(*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) a)) a) a)
(* (pow a 2) (+ 2 (* -1 (/ (- 12 (* 4 (/ 1 a))) a))))
(*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 12 binary64) (/.f64 #s(literal 4 binary64) a)) a)) a) a)
(* (pow a 2) (+ 2 (* -1 (/ (- 12 (* 4 (/ 1 a))) a))))
(*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 12 binary64) (/.f64 #s(literal 4 binary64) a)) a)) a) a)
(* 2 (* (pow a 2) b))
(*.f64 (*.f64 (*.f64 b a) a) #s(literal 2 binary64))
(* (pow a 2) (+ (* -12 (/ b a)) (* 2 b)))
(*.f64 (*.f64 (*.f64 b (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) a))) a) a)
(* (pow a 2) (+ (* -1 (/ (+ (* -4 (/ b a)) (* 12 b)) a)) (* 2 b)))
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) b (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 b a) (*.f64 #s(literal 12 binary64) b)) (neg.f64 a))) a) a)
(* (pow a 2) (+ (* -1 (/ (+ (* -4 (/ b a)) (* 12 b)) a)) (* 2 b)))
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) b (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 b a) (*.f64 #s(literal 12 binary64) b)) (neg.f64 a))) a) a)
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* -1 (/ (- (* -1 (pow b 2)) 4) a))
(/.f64 (fma.f64 (neg.f64 b) b #s(literal -4 binary64)) (neg.f64 a))
(* -1 (/ (- (* -1 (pow b 2)) 4) a))
(/.f64 (fma.f64 (neg.f64 b) b #s(literal -4 binary64)) (neg.f64 a))
(* -1 (/ (- (* -1 (pow b 2)) 4) a))
(/.f64 (fma.f64 (neg.f64 b) b #s(literal -4 binary64)) (neg.f64 a))
(* -1 (/ (- (* -1 (pow b 2)) 4) a))
(/.f64 (fma.f64 (neg.f64 b) b #s(literal -4 binary64)) (neg.f64 a))

rewrite208.0ms (2.5%)

Memory
22.0MiB live, 253.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070707
0104696
1476687
24137687
08214609
Stop Event
iter limit
node limit
iter limit
Counts
27 → 393
Calls
Call 1
Inputs
(*.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a)) a)
(fma.f64 b #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a))
(fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b))
(fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (*.f64 (*.f64 b b) #s(literal 4 binary64))))
#s(approx (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (*.f64 (*.f64 b b) #s(literal 4 binary64)))
(*.f64 (*.f64 b b) #s(literal 4 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a)))
(*.f64 a a)
(*.f64 (*.f64 a a) (*.f64 a a))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b (*.f64 (*.f64 a a) (fma.f64 a 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) (- 1 (* 3 a)))))) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))))
(fma.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))
(*.f64 (-.f64 (fma.f64 (/.f64 b a) b (/.f64 #s(literal 4 binary64) a)) #s(literal 12 binary64)) a)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) #s(approx (+ (* b b) (+ (* -12 a) 4)) (*.f64 (-.f64 (fma.f64 (/.f64 b a) b (/.f64 #s(literal 4 binary64) a)) #s(literal 12 binary64)) a)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) #s(approx (+ (* b b) (+ (* -12 a) 4)) (*.f64 (-.f64 (fma.f64 (/.f64 b a) b (/.f64 #s(literal 4 binary64) a)) #s(literal 12 binary64)) a))))
(*.f64 (*.f64 b b) #s(approx (+ (* b b) (+ (* -12 a) 4)) (*.f64 (-.f64 (fma.f64 (/.f64 b a) b (/.f64 #s(literal 4 binary64) a)) #s(literal 12 binary64)) a)))
(/.f64 (fma.f64 b b #s(literal 4 binary64)) a)
(*.f64 (*.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a)) a) a)
(/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a)
(*.f64 b b)
#s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64))
(*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b)
(*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))
(fma.f64 (/.f64 b a) b (/.f64 #s(literal 4 binary64) a))
Outputs
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eval185.0ms (2.2%)

Memory
0.5MiB live, 274.4MiB allocated
Compiler

Compiled 32 859 to 3 543 computations (89.2% saved)

prune45.0ms (0.5%)

Memory
13.5MiB live, 100.8MiB allocated
Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New1 13031 133
Fresh189
Picked235
Done000
Total1 133141 147
Accuracy
100.0%
Counts
1 147 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.2%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) (*.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b))) #s(literal 1 binary64))
76.8%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64))
74.6%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (*.f64 (*.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a)) a) a)) b (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64))))) #s(literal 1 binary64))
61.8%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) #s(approx (+ (* b b) (+ (* -12 a) 4)) (*.f64 (-.f64 (fma.f64 (/.f64 b a) b (/.f64 #s(literal 4 binary64) a)) #s(literal 12 binary64)) a)))) #s(literal 1 binary64))
69.0%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
39.8%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #s(literal 1 binary64))
47.1%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))
43.9%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))
60.7%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (*.f64 (*.f64 (*.f64 b b) (+.f64 #s(literal -12 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) a))) a))) #s(literal 1 binary64))
85.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
69.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
64.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
45.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64)))
50.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 a #s(literal 4 binary64)))
Compiler

Compiled 371 to 279 computations (24.8% saved)

simplify199.0ms (2.4%)

Memory
-25.4MiB live, 177.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64))
cost-diff192
(fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))
cost-diff0
(fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))
cost-diff0
(fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) (*.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b))
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) (*.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b)))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) (*.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b))) #s(literal 1 binary64))
cost-diff0
(*.f64 a a)
cost-diff0
(*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #s(literal 1 binary64))
cost-diff0
(*.f64 a a)
cost-diff0
(*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64))))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))
cost-diff0
(fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))
cost-diff0
(*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a)
cost-diff0
(fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064828
0101815
1204815
2430731
31314731
43727731
55615731
08248704
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) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
(fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a)
(fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))
(+.f64 a #s(literal 4 binary64))
a
#s(literal 4 binary64)
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b)
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64))
(fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64))
#s(literal 2 binary64)
#s(literal -12 binary64)
b
#s(literal -1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64))))
(*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))
(*.f64 a a)
a
#s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))
(*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))
(*.f64 a a)
a
#s(approx (+ (* a a) (+ (* a 4) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))
(fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) (*.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) (*.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b)))
(fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) (*.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b))
(fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))
a
(+.f64 a #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 a a)
(*.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b)
(*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b)
#s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64))
b
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b (*.f64 (*.f64 a a) (fma.f64 a 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) (- 1 (* 3 a)))))) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))))
(fma.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))
(*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b)
#s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))
(fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))
#s(literal -12 binary64)
a
#s(literal 4 binary64)
b
(*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))
(*.f64 a a)
(fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))
(fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))
#s(literal 1 binary64)
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
(fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a)
(*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a)
(fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))
(fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64))
(+.f64 a #s(literal 4 binary64))
(+.f64 #s(literal 4 binary64) a)
a
#s(literal 4 binary64)
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b)
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64))
(fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64))
#s(literal 2 binary64)
#s(literal -12 binary64)
b
#s(literal -1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)) a) a))
(*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))
(*.f64 (*.f64 #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)) a) a)
(*.f64 a a)
a
#s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 #s(approx (+ (* a a) (+ (* a 4) 4)) (fma.f64 #s(literal 4 binary64) a #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) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 #s(approx (+ (* a a) (+ (* a 4) 4)) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a)))
(*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))
(*.f64 #s(approx (+ (* a a) (+ (* a 4) 4)) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a))
(*.f64 a a)
a
#s(approx (+ (* a a) (+ (* a 4) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))
#s(approx (+ (* a a) (+ (* a 4) 4)) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))
(fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) (*.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) (*.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) (*.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) (*.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b)))
(fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) (*.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b))
(fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) (*.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b))
(fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))
(fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64))
a
(+.f64 a #s(literal 4 binary64))
(+.f64 #s(literal 4 binary64) a)
#s(literal 4 binary64)
(*.f64 a a)
(*.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b)
(*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b)
#s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64))
b
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (*.f64 b b)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (*.f64 b b))))
(fma.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))
(fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (*.f64 b b)))
(*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b)
#s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))
(fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))
#s(literal -12 binary64)
a
#s(literal 4 binary64)
b
(*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))
(*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a))
(*.f64 a a)
(fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))
(fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64))
(fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
#s(literal 1 binary64)

localize182.0ms (2.2%)

Memory
9.3MiB live, 169.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.056972509768442016
(*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))
accuracy4.276460691656673
(*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b)
accuracy9.413818492068414
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))))
accuracy34.042176082792565
#s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))
accuracy1.9381314768429605
(*.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b)
accuracy4.276460691656673
(*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b)
accuracy9.413818492068414
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) (*.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b)))
accuracy34.236041795194396
#s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64))
accuracy0
(*.f64 a a)
accuracy0.056972509768442016
(*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))
accuracy23.562720201403117
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))
accuracy34.04666661839944
#s(approx (+ (* a a) (+ (* a 4) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))
accuracy0
(*.f64 a a)
accuracy0.056972509768442016
(*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))
accuracy23.562720201403117
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64))))
accuracy34.178628074883484
#s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64))
accuracy0.0625
(*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a)
accuracy1.9264127268429605
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))
accuracy4.276460691656673
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b)
accuracy9.348508849551322
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
Samples
76.0ms234×0valid
11.0ms13×2valid
6.0ms1valid
Compiler

Compiled 616 to 55 computations (91.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 66.0ms
ival-mult: 32.0ms (48.3% of total)
ival-add: 24.0ms (36.2% of total)
adjust: 4.0ms (6% of total)
ival-pow2: 3.0ms (4.5% of total)
ival-sub: 2.0ms (3% of total)
exact: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series60.0ms (0.7%)

Memory
8.6MiB live, 82.0MiB allocated
Counts
29 → 552
Calls
Call 1
Inputs
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))) (patch (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) (patch (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) #<representation binary64>) () ())
#s(alt (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (patch (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #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) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64))) (patch (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) (fma.f64 a #s(literal 4 binary64) #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) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))) (patch (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) (*.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) (*.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) (*.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b))) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) (*.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) (*.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b)) (patch (fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) (*.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b)) #<representation binary64>) () ())
#s(alt (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (patch (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) (patch (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #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) (- 1 (* 3 a)))))) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) (patch (fma.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) (patch (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)) (patch (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)) (patch #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* a a) (+ (* a 4) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) (patch #s(approx (+ (* a a) (+ (* a 4) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) (patch #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) (patch (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b) (patch (*.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (patch #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) (patch (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))) (patch (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))) #<representation binary64>) () ())
Outputs
#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) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 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) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1) (taylor 0 b) (#s(alt (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))) (patch (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1) (taylor 0 b) (#s(alt (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))) (patch (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* (pow a 2) (+ (* -12 (/ b a)) (* 2 b))) (taylor -inf a) (#s(alt (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) (patch (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* -1 (/ (+ (* -4 (/ b a)) (* 12 b)) a)) (* 2 b))) (taylor -inf a) (#s(alt (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) (patch (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* -1 (/ (+ (* -4 (/ b a)) (* 12 b)) a)) (* 2 b))) (taylor -inf a) (#s(alt (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) (patch (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor -inf a) (#s(alt (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))) (patch (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* 4 (/ 1 a)))) (taylor -inf a) (#s(alt (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))) (patch (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) (taylor -inf a) (#s(alt (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))) (patch (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) (taylor -inf a) (#s(alt (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))) (patch (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
8.0ms
b
@0
((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (* (+ (* (+ a 4) a) 4) a) (+ (* (+ a 4) a) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* a a) (+ (* a a) (+ (* a 4) 4))) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* a a) (+ (* a a) (+ (* a 4) 4))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (+ (* a (+ a 4)) 4) (* a a)) (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b)) (+ (* a (+ a 4)) 4) (+ (* a a) (+ (* a 4) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (* (+ (* (+ (* 2 a) -12) a) 4) b) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1) (+ (* a a) (+ (* a 4) 4)) (+ (* a a) (+ (* a 4) 4)) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) (* (* a a) (+ (* a a) (+ (* a 4) 4))))
8.0ms
b
@inf
((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (* (+ (* (+ a 4) a) 4) a) (+ (* (+ a 4) a) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* a a) (+ (* a a) (+ (* a 4) 4))) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* a a) (+ (* a a) (+ (* a 4) 4))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (+ (* a (+ a 4)) 4) (* a a)) (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b)) (+ (* a (+ a 4)) 4) (+ (* a a) (+ (* a 4) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (* (+ (* (+ (* 2 a) -12) a) 4) b) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1) (+ (* a a) (+ (* a 4) 4)) (+ (* a a) (+ (* a 4) 4)) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) (* (* a a) (+ (* a a) (+ (* a 4) 4))))
3.0ms
b
@-inf
((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (* (+ (* (+ a 4) a) 4) a) (+ (* (+ a 4) a) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* a a) (+ (* a a) (+ (* a 4) 4))) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* a a) (+ (* a a) (+ (* a 4) 4))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (+ (* a (+ a 4)) 4) (* a a)) (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b)) (+ (* a (+ a 4)) 4) (+ (* a a) (+ (* a 4) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (* (+ (* (+ (* 2 a) -12) a) 4) b) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1) (+ (* a a) (+ (* a 4) 4)) (+ (* a a) (+ (* a 4) 4)) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) (* (* a a) (+ (* a a) (+ (* a 4) 4))))
2.0ms
a
@inf
((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (* (+ (* (+ a 4) a) 4) a) (+ (* (+ a 4) a) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* a a) (+ (* a a) (+ (* a 4) 4))) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* a a) (+ (* a a) (+ (* a 4) 4))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (+ (* a (+ a 4)) 4) (* a a)) (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b)) (+ (* a (+ a 4)) 4) (+ (* a a) (+ (* a 4) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (* (+ (* (+ (* 2 a) -12) a) 4) b) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1) (+ (* a a) (+ (* a 4) 4)) (+ (* a a) (+ (* a 4) 4)) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) (* (* a a) (+ (* a a) (+ (* a 4) 4))))
2.0ms
a
@-inf
((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (* (+ (* (+ a 4) a) 4) a) (+ (* (+ a 4) a) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* a a) (+ (* a a) (+ (* a 4) 4))) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* a a) (+ (* a a) (+ (* a 4) 4))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (+ (* a (+ a 4)) 4) (* a a)) (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b)) (+ (* a (+ a 4)) 4) (+ (* a a) (+ (* a 4) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (* (+ (* (+ (* 2 a) -12) a) 4) b) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1) (+ (* a a) (+ (* a 4) 4)) (+ (* a a) (+ (* a 4) 4)) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) (* (* a a) (+ (* a a) (+ (* a 4) 4))))

simplify195.0ms (2.4%)

Memory
6.4MiB live, 162.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024710080
18109606
223968854
362878650
082217790
Stop Event
iter limit
node limit
Counts
552 → 552
Calls
Call 1
Inputs
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1)
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1)
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(* (pow a 2) (+ 4 (* a (+ 4 a))))
(+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))))
(+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))))
(+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 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 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2))))
(+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))))
(+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))))
(+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))))
(* b (+ 4 (* a (- (* 2 a) 12))))
(* b (+ 4 (* a (- (* 2 a) 12))))
(* b (+ 4 (* a (- (* 2 a) 12))))
(* b (+ 4 (* a (- (* 2 a) 12))))
-1
(- (* (pow b 2) (+ 4 (* a (- (* 2 a) 12)))) 1)
(- (* (pow b 2) (+ 4 (* a (- (* 2 a) 12)))) 1)
(- (* (pow b 2) (+ 4 (* a (- (* 2 a) 12)))) 1)
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))
(* (pow b 2) (- (+ 4 (+ (* a (- (* 2 a) 12)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 4 (+ (* a (- (* 2 a) 12)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 4 (+ (* a (- (* 2 a) 12)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))) (/ 1 (pow b 2))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))))
(* b (+ 4 (* a (- (* 2 a) 12))))
(* b (+ 4 (* a (- (* 2 a) 12))))
(* b (+ 4 (* a (- (* 2 a) 12))))
(* b (+ 4 (* a (- (* 2 a) 12))))
(* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))
(* (pow b 2) (- (+ 4 (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 4 (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 4 (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))
(* (pow b 2) (- (+ 4 (+ (* a (- (* 2 a) 12)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 4 (+ (* a (- (* 2 a) 12)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 4 (+ (* a (- (* 2 a) 12)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))) (/ 1 (pow b 2))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))))
(* b (+ 4 (* a (- (* 2 a) 12))))
(* b (+ 4 (* a (- (* 2 a) 12))))
(* b (+ 4 (* a (- (* 2 a) 12))))
(* b (+ 4 (* a (- (* 2 a) 12))))
(* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))
(* (pow b 2) (- (+ 4 (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 4 (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 4 (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(- (* 4 (pow b 2)) 1)
(- (+ (* -12 (* a (pow b 2))) (* 4 (pow b 2))) 1)
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))))) 1)
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a))))))) 1)
(* 4 a)
(* a (+ 4 (* 4 a)))
(* a (+ 4 (* a (+ 4 a))))
(* a (+ 4 (* a (+ 4 a))))
4
(+ 4 (* 4 a))
(+ 4 (* a (+ 4 a)))
(+ 4 (* a (+ 4 a)))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))
(* 4 (pow a 2))
(* (pow a 2) (+ 4 (* 4 a)))
(* (pow a 2) (+ 4 (* a (+ 4 a))))
(* (pow a 2) (+ 4 (* a (+ 4 a))))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))
(* 4 (pow a 2))
(* (pow a 2) (+ 4 (* 4 a)))
(* (pow a 2) (+ 4 (* a (+ 4 a))))
(* (pow a 2) (+ 4 (* a (+ 4 a))))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))
(* 4 (pow b 2))
(+ (* -12 (* a (pow b 2))) (* 4 (pow b 2)))
(+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))))
(+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))))
4
(+ 4 (* 4 a))
(+ 4 (* a (+ 4 a)))
(+ 4 (* a (+ 4 a)))
4
(+ 4 (* 4 a))
(+ 4 (* a (+ 4 a)))
(+ 4 (* a (+ 4 a)))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))
(* 4 (pow b 2))
(+ (* -12 (* a (pow b 2))) (* 4 (pow b 2)))
(+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))))
(+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))))
(* 4 b)
(+ (* -12 (* a b)) (* 4 b))
(+ (* 4 b) (* a (+ (* -12 b) (* 2 (* a b)))))
(+ (* 4 b) (* a (+ (* -12 b) (* 2 (* a b)))))
(- (* 4 (pow b 2)) 1)
(- (+ (* -12 (* a (pow b 2))) (* 4 (pow b 2))) 1)
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* 2 (* a (pow b 2)))))) 1)
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* 2 (* a (pow b 2)))))) 1)
4
(+ 4 (* 4 a))
(+ 4 (* a (+ 4 a)))
(+ 4 (* a (+ 4 a)))
4
(+ 4 (* 4 a))
(+ 4 (* a (+ 4 a)))
(+ 4 (* a (+ 4 a)))
4
(+ 4 (* -12 a))
(+ 4 (* a (- (* 2 a) 12)))
(+ 4 (* a (- (* 2 a) 12)))
(* 4 b)
(+ (* -12 (* a b)) (* 4 b))
(+ (* 4 b) (* a (+ (* -12 b) (* 2 (* a b)))))
(+ (* 4 b) (* a (+ (* -12 b) (* 2 (* a b)))))
(* 4 (pow b 2))
(+ (* -12 (* a (pow b 2))) (* 4 (pow b 2)))
(+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* 2 (* a (pow b 2))))))
(+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* 2 (* a (pow b 2))))))
4
(+ 4 (* -12 a))
(+ 4 (* a (- (* 2 a) 12)))
(+ 4 (* a (- (* 2 a) 12)))
(* 4 b)
(+ (* -12 (* a b)) (* 4 b))
(+ (* 4 b) (* a (+ (* -12 b) (* 2 (* a b)))))
(+ (* 4 b) (* a (+ (* -12 b) (* 2 (* a b)))))
(* 4 (pow a 2))
(* (pow a 2) (+ 4 (* 4 a)))
(* (pow a 2) (+ 4 (* a (+ 4 a))))
(* (pow a 2) (+ 4 (* a (+ 4 a))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 3)
(* (pow a 3) (+ 1 (* 4 (/ 1 a))))
(* (pow a 3) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 3) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* -12 (/ b a)) (* 2 b)))
(* (pow a 2) (+ (* -12 (/ b a)) (+ (* 2 b) (* 4 (/ b (pow a 2))))))
(* (pow a 2) (+ (* -12 (/ b a)) (+ (* 2 b) (* 4 (/ b (pow a 2))))))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))
(* (pow a 2) (- (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) (pow a 2))))) (/ 1 (pow a 2))))
(* (pow a 2) (- (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) (pow a 2))))) (/ 1 (pow a 2))))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* 2 (pow a 2))
(* (pow a 2) (- 2 (* 12 (/ 1 a))))
(* (pow a 2) (- (+ 2 (/ 4 (pow a 2))) (* 12 (/ 1 a))))
(* (pow a 2) (- (+ 2 (/ 4 (pow a 2))) (* 12 (/ 1 a))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* -12 (/ b a)) (* 2 b)))
(* (pow a 2) (+ (* -12 (/ b a)) (+ (* 2 b) (* 4 (/ b (pow a 2))))))
(* (pow a 2) (+ (* -12 (/ b a)) (+ (* 2 b) (* 4 (/ b (pow a 2))))))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) (pow a 2))))))
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) (pow a 2))))))
(* 2 (pow a 2))
(* (pow a 2) (- 2 (* 12 (/ 1 a))))
(* (pow a 2) (- (+ 2 (/ 4 (pow a 2))) (* 12 (/ 1 a))))
(* (pow a 2) (- (+ 2 (/ 4 (pow a 2))) (* 12 (/ 1 a))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* -12 (/ b a)) (* 2 b)))
(* (pow a 2) (+ (* -12 (/ b a)) (+ (* 2 b) (* 4 (/ b (pow a 2))))))
(* (pow a 2) (+ (* -12 (/ b a)) (+ (* 2 b) (* 4 (/ b (pow a 2))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 3)
(* (pow a 3) (+ 1 (* 4 (/ 1 a))))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) 1)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) 1)))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* -12 (/ b a)) (* 2 b)))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 (/ b a)) (* 12 b)) a)) (* 2 b)))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 (/ b a)) (* 12 b)) a)) (* 2 b)))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (- (* 4 (pow b 2)) 1) a)) (* 12 (pow b 2))) a)) (* 2 (pow b 2))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (- (* 4 (pow b 2)) 1) a)) (* 12 (pow b 2))) a)) (* 2 (pow b 2))))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* 2 (pow a 2))
(* (pow a 2) (- 2 (* 12 (/ 1 a))))
(* (pow a 2) (+ 2 (* -1 (/ (- 12 (* 4 (/ 1 a))) a))))
(* (pow a 2) (+ 2 (* -1 (/ (- 12 (* 4 (/ 1 a))) a))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* -12 (/ b a)) (* 2 b)))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 (/ b a)) (* 12 b)) a)) (* 2 b)))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 (/ b a)) (* 12 b)) a)) (* 2 b)))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 (/ (pow b 2) a)) (* 12 (pow b 2))) a)) (* 2 (pow b 2))))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 (/ (pow b 2) a)) (* 12 (pow b 2))) a)) (* 2 (pow b 2))))
(* 2 (pow a 2))
(* (pow a 2) (- 2 (* 12 (/ 1 a))))
(* (pow a 2) (+ 2 (* -1 (/ (- 12 (* 4 (/ 1 a))) a))))
(* (pow a 2) (+ 2 (* -1 (/ (- 12 (* 4 (/ 1 a))) a))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* -12 (/ b a)) (* 2 b)))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 (/ b a)) (* 12 b)) a)) (* 2 b)))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 (/ b a)) (* 12 b)) a)) (* 2 b)))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
Outputs
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(fma.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64))) (*.f64 b b) (fma.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64))) (*.f64 b b) (fma.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)
(fma.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1)
(fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1)
(fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1)
(fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(fma.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64))) (*.f64 b b) (fma.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64))) (*.f64 b b) (fma.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(*.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64))) (*.f64 b b)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64))) (*.f64 b b)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(fma.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64))) (*.f64 b b) (fma.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64))) (*.f64 b b) (fma.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(*.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64))) (*.f64 b b)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64))) (*.f64 b b)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(fma.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64))) (*.f64 b b) (fma.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64))) (*.f64 b b) (fma.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
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#s(literal 4 binary64)
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#s(literal 4 binary64)
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#s(literal 4 binary64)
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4
#s(literal 4 binary64)
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#s(literal 4 binary64)
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#s(literal 4 binary64)
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rewrite268.0ms (3.3%)

Memory
-4.6MiB live, 315.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064769
0101756
1485756
23853756
09779680
Stop Event
iter limit
node limit
iter limit
Counts
29 → 634
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
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(*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a)
(fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64))))
(*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))
(*.f64 a a)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))
(*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) (*.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) (*.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b)))
(fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) (*.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b))
(fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))
(fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b (*.f64 (*.f64 a a) (fma.f64 a 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) (- 1 (* 3 a)))))) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))))
(fma.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b)
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))
#s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64))
#s(approx (+ (* a a) (+ (* a 4) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))
#s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64))
(*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b)
(*.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b)
#s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))
(*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b)
(*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))
Outputs
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eval170.0ms (2.1%)

Memory
-11.6MiB live, 300.8MiB allocated
Compiler

Compiled 45 495 to 3 084 computations (93.2% saved)

prune44.0ms (0.5%)

Memory
12.7MiB live, 100.0MiB allocated
Pruning

16 alts after pruning (10 fresh and 6 done)

PrunedKeptTotal
New1 24151 246
Fresh156
Picked145
Done123
Total1 244161 260
Accuracy
100.0%
Counts
1 260 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.2%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) (*.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b))) #s(literal 1 binary64))
74.6%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (*.f64 (*.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a)) a) a)) b (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64))))) #s(literal 1 binary64))
61.8%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) #s(approx (+ (* b b) (+ (* -12 a) 4)) (*.f64 (-.f64 (fma.f64 (/.f64 b a) b (/.f64 #s(literal 4 binary64) a)) #s(literal 12 binary64)) a)))) #s(literal 1 binary64))
69.0%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
39.8%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #s(literal 1 binary64))
47.1%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))
60.7%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (*.f64 (*.f64 (*.f64 b b) (+.f64 #s(literal -12 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) a))) a))) #s(literal 1 binary64))
85.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
75.2%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 #s(approx (* (+ (* (+ (* 2 a) -12) a) 4) b) (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b)) b #s(literal -1 binary64))))
84.2%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 #s(approx (* (+ (* (+ (* 2 a) -12) a) 4) b) (*.f64 b #s(literal 4 binary64))) b #s(literal -1 binary64))))
69.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(approx (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1) #s(literal -1 binary64))))
64.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
64.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
45.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64)))
50.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 a #s(literal 4 binary64)))
43.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
Compiler

Compiled 738 to 334 computations (54.7% saved)

regimes43.0ms (0.5%)

Memory
-15.3MiB live, 63.0MiB allocated
Counts
30 → 1
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(approx (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 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) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 #s(approx (* (+ (* (+ (* 2 a) -12) a) 4) b) (*.f64 b #s(literal 4 binary64))) b #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) (*.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b (*.f64 (*.f64 a a) (fma.f64 a 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) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 #s(approx (* (+ (* (+ (* 2 a) -12) a) 4) b) (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b)) b #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (*.f64 (*.f64 (*.f64 b b) (+.f64 #s(literal -12 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) a))) a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b (*.f64 (*.f64 a a) (fma.f64 a 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) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) #s(approx (+ (* b b) (+ (* -12 a) 4)) (*.f64 (-.f64 (fma.f64 (/.f64 b a) b (/.f64 #s(literal 4 binary64) a)) #s(literal 12 binary64)) a)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (*.f64 (*.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a)) a) a)) b (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (*.f64 (*.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b)) a)) a) a)) b (*.f64 (*.f64 a a) (fma.f64 a 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) (- 1 (* 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) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (pow.f64 b #s(literal 3 binary64)) b (*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b))) #s(literal 1 binary64))
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (fma.f64 (/.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
Outputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64))
Calls

5 calls:

9.0ms
a
8.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
8.0ms
b
8.0ms
(*.f64 b b)
7.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.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 1 binary64) (*.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 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
99.9%1(*.f64 b b)
Compiler

Compiled 65 to 44 computations (32.3% saved)

regimes46.0ms (0.6%)

Memory
8.7MiB live, 62.7MiB allocated
Counts
20 → 3
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(approx (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 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) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 #s(approx (* (+ (* (+ (* 2 a) -12) a) 4) b) (*.f64 b #s(literal 4 binary64))) b #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) (*.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b (*.f64 (*.f64 a a) (fma.f64 a 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) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 #s(approx (* (+ (* (+ (* 2 a) -12) a) 4) b) (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b)) b #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (*.f64 (*.f64 (*.f64 b b) (+.f64 #s(literal -12 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) a))) a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b (*.f64 (*.f64 a a) (fma.f64 a 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) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) #s(approx (+ (* b b) (+ (* -12 a) 4)) (*.f64 (-.f64 (fma.f64 (/.f64 b a) b (/.f64 #s(literal 4 binary64) a)) #s(literal 12 binary64)) a)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64))
Calls

5 calls:

23.0ms
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 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
5.0ms
(*.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 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
98.5%3a
96.4%2b
85.4%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 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
85.4%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 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
96.4%2(*.f64 b b)
Compiler

Compiled 65 to 44 computations (32.3% saved)

regimes8.0ms (0.1%)

Memory
-26.7MiB live, 13.1MiB allocated
Counts
19 → 3
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(approx (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 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) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 #s(approx (* (+ (* (+ (* 2 a) -12) a) 4) b) (*.f64 b #s(literal 4 binary64))) b #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) (*.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b (*.f64 (*.f64 a a) (fma.f64 a 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) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 #s(approx (* (+ (* (+ (* 2 a) -12) a) 4) b) (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b)) b #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (*.f64 (*.f64 (*.f64 b b) (+.f64 #s(literal -12 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) a))) a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b (*.f64 (*.f64 a a) (fma.f64 a 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) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) #s(approx (+ (* b b) (+ (* -12 a) 4)) (*.f64 (-.f64 (fma.f64 (/.f64 b a) b (/.f64 #s(literal 4 binary64) a)) #s(literal 12 binary64)) a)))) #s(literal 1 binary64))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
Calls

1 calls:

6.0ms
a
Results
AccuracySegmentsBranch
98.5%3a
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes17.0ms (0.2%)

Memory
31.3MiB live, 31.3MiB allocated
Counts
17 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(approx (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 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) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 #s(approx (* (+ (* (+ (* 2 a) -12) a) 4) b) (*.f64 b #s(literal 4 binary64))) b #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) (*.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b (*.f64 (*.f64 a a) (fma.f64 a 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) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 #s(approx (* (+ (* (+ (* 2 a) -12) a) 4) b) (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b)) b #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (*.f64 (*.f64 (*.f64 b b) (+.f64 #s(literal -12 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) a))) a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64))
Outputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) (*.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
Calls

3 calls:

6.0ms
a
5.0ms
b
5.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
96.3%2b
96.3%2(*.f64 b b)
97.4%3a
Compiler

Compiled 5 to 7 computations (-40% saved)

regimes9.0ms (0.1%)

Memory
-23.1MiB live, 16.6MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(approx (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 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) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 #s(approx (* (+ (* (+ (* 2 a) -12) a) 4) b) (*.f64 b #s(literal 4 binary64))) b #s(literal -1 binary64))))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 #s(approx (* (+ (* (+ (* 2 a) -12) a) 4) b) (*.f64 b #s(literal 4 binary64))) b #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
Calls

2 calls:

5.0ms
b
4.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
96.3%2b
96.3%2(*.f64 b b)
Compiler

Compiled 4 to 5 computations (-25% saved)

regimes8.0ms (0.1%)

Memory
11.7MiB live, 11.7MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(approx (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
Outputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (fma.f64 a 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) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
Calls

2 calls:

4.0ms
b
3.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
96.0%2b
96.0%2(*.f64 b b)
Compiler

Compiled 4 to 5 computations (-25% saved)

regimes7.0ms (0.1%)

Memory
10.6MiB live, 10.6MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(approx (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1) #s(literal -1 binary64))))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
Calls

2 calls:

3.0ms
b
3.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
96.0%2b
96.0%2(*.f64 b b)
Compiler

Compiled 4 to 5 computations (-25% saved)

regimes10.0ms (0.1%)

Memory
-25.2MiB live, 13.9MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #s(literal 1 binary64))
Outputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
Calls

3 calls:

4.0ms
a
3.0ms
b
3.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
96.0%3a
95.3%2b
95.3%2(*.f64 b b)
Compiler

Compiled 5 to 7 computations (-40% saved)

regimes12.0ms (0.1%)

Memory
19.8MiB live, 19.8MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
Outputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #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 1 binary64) (*.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 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
2.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
68.7%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 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
68.7%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 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
81.3%3a
80.1%2b
80.1%2(*.f64 b b)
Compiler

Compiled 65 to 44 computations (32.3% saved)

regimes5.0ms (0.1%)

Memory
8.1MiB live, 8.1MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
Outputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
Calls

2 calls:

2.0ms
b
2.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
80.1%2(*.f64 b b)
80.1%2b
Compiler

Compiled 4 to 5 computations (-25% saved)

regimes11.0ms (0.1%)

Memory
-19.8MiB live, 21.4MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))
Outputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
Calls

5 calls:

3.0ms
a
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 1 binary64) (*.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 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
2.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
52.9%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 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
52.9%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 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
64.4%3a
64.3%2(*.f64 b b)
64.3%2b
Compiler

Compiled 65 to 44 computations (32.3% saved)

regimes8.0ms (0.1%)

Memory
19.7MiB live, 19.7MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
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 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
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 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
2.0ms
a
1.0ms
b
1.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
43.9%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 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
43.9%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 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
43.9%1a
43.9%1(*.f64 b b)
43.9%1b
Compiler

Compiled 65 to 44 computations (32.3% saved)

bsearch61.0ms (0.7%)

Memory
-27.2MiB live, 51.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
3.053512527754077e-8
0.0004590730007792879
18.0ms
-29.47365322261372
-0.003576636267623698
Samples
25.0ms256×0valid
Compiler

Compiled 610 to 439 computations (28% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 9.0ms (48.8% of total)
ival-add: 5.0ms (27.1% of total)
ival-sub: 2.0ms (10.8% of total)
ival-pow2: 2.0ms (10.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory
4.6MiB live, 4.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
3.053512527754077e-8
0.0004590730007792879
1.0ms
-29.47365322261372
-0.003576636267623698
Compiler

Compiled 562 to 423 computations (24.7% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.3031866725632174e+71
2.2515656407963966e+71
Compiler

Compiled 32 to 23 computations (28.1% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.3031866725632174e+71
2.2515656407963966e+71
Compiler

Compiled 32 to 23 computations (28.1% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.3031866725632174e+71
2.2515656407963966e+71
Compiler

Compiled 32 to 23 computations (28.1% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.3031866725632174e+71
2.2515656407963966e+71
Compiler

Compiled 32 to 23 computations (28.1% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.3031866725632174e+71
2.2515656407963966e+71
Compiler

Compiled 32 to 23 computations (28.1% saved)

bsearch41.0ms (0.5%)

Memory
-10.0MiB live, 28.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
6.856599044436475e-5
290563.91722698533
Samples
14.0ms144×0valid
Compiler

Compiled 205 to 194 computations (5.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 5.0ms (49% of total)
ival-add: 2.0ms (19.6% of total)
ival-sub: 1.0ms (9.8% of total)
ival-pow2: 1.0ms (9.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
3.0MiB live, 3.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
6.856599044436475e-5
290563.91722698533
Compiler

Compiled 205 to 194 computations (5.4% saved)

bsearch20.0ms (0.2%)

Memory
27.8MiB live, 27.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
2.279613015884561e+145
3.8900031052714985e+149
Samples
12.0ms128×0valid
Compiler

Compiled 170 to 175 computations (-2.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 4.0ms (44.7% of total)
ival-add: 2.0ms (22.3% of total)
ival-sub: 1.0ms (11.2% of total)
ival-pow2: 1.0ms (11.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify63.0ms (0.8%)

Memory
4.3MiB live, 46.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01231227
11451227
21531227
31631227
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64))
(if (<=.f64 a #s(literal -7148113328562451/1152921504606846976 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))) (if (<=.f64 a #s(literal 5312662293228351/73786976294838206464 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64))))
(if (<=.f64 a #s(literal -7148113328562451/1152921504606846976 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))) (if (<=.f64 a #s(literal 5312662293228351/73786976294838206464 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))))))
(if (<=.f64 (*.f64 b b) #s(literal 200000000000000008376305112842291591798286773328067656628685542361399296 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) (*.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b))) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 200000000000000008376305112842291591798286773328067656628685542361399296 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 #s(approx (* (+ (* (+ (* 2 a) -12) a) 4) b) (*.f64 b #s(literal 4 binary64))) b #s(literal -1 binary64)))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 200000000000000008376305112842291591798286773328067656628685542361399296 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (fma.f64 a 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) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 200000000000000008376305112842291591798286773328067656628685542361399296 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 200000000000000008376305112842291591798286773328067656628685542361399296 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
(if (<=.f64 b #s(literal 7566047373982433/18014398509481984 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
(if (<=.f64 b #s(literal 7566047373982433/18014398509481984 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))))
(if (<=.f64 b #s(literal 380000000000000007254301031438340155404261763091611828447469841604919248267201845143779104342122504269647797176418193282665904411182752171020714508288 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
Outputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b (*.f64 (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) (*.f64 a a)))) #s(literal 1 binary64))
(if (<=.f64 a #s(literal -7148113328562451/1152921504606846976 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))) (if (<=.f64 a #s(literal 5312662293228351/73786976294838206464 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64))))
(if (<=.f64 a #s(literal -7148113328562451/1152921504606846976 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))) (if (<=.f64 a #s(literal 5312662293228351/73786976294838206464 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (*.f64 (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) (*.f64 a a)))) #s(literal 1 binary64))))
(if (<=.f64 a #s(literal -7148113328562451/1152921504606846976 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))) (if (<=.f64 a #s(literal 5312662293228351/73786976294838206464 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))))))
(if (<=.f64 a #s(literal -7148113328562451/1152921504606846976 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))) (if (<=.f64 a #s(literal 5312662293228351/73786976294838206464 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))))))
(if (<=.f64 (*.f64 b b) #s(literal 200000000000000008376305112842291591798286773328067656628685542361399296 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) (*.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b))) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 200000000000000008376305112842291591798286773328067656628685542361399296 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (*.f64 (*.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) #s(literal 4 binary64)) b) b))) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 200000000000000008376305112842291591798286773328067656628685542361399296 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 #s(approx (* (+ (* (+ (* 2 a) -12) a) 4) b) (*.f64 b #s(literal 4 binary64))) b #s(literal -1 binary64)))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 200000000000000008376305112842291591798286773328067656628685542361399296 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 #s(approx (* (+ (* (+ (* 2 a) -12) a) 4) b) (*.f64 #s(literal 4 binary64) b)) b #s(literal -1 binary64)))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 200000000000000008376305112842291591798286773328067656628685542361399296 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (fma.f64 a 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) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 200000000000000008376305112842291591798286773328067656628685542361399296 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (fma.f64 a a (fma.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) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 200000000000000008376305112842291591798286773328067656628685542361399296 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 200000000000000008376305112842291591798286773328067656628685542361399296 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 200000000000000008376305112842291591798286773328067656628685542361399296 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
(if (<=.f64 b #s(literal 7566047373982433/18014398509481984 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
(if (<=.f64 b #s(literal 7566047373982433/18014398509481984 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 #s(approx (+ (* a a) (+ (* a 4) 4)) #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) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
(if (<=.f64 b #s(literal 7566047373982433/18014398509481984 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))))
(if (<=.f64 b #s(literal 7566047373982433/18014398509481984 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 #s(approx (+ (* a a) (+ (* a 4) 4)) #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) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))))
(if (<=.f64 b #s(literal 380000000000000007254301031438340155404261763091611828447469841604919248267201845143779104342122504269647797176418193282665904411182752171020714508288 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))))
(if (<=.f64 b #s(literal 380000000000000007254301031438340155404261763091611828447469841604919248267201845143779104342122504269647797176418193282665904411182752171020714508288 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 #s(approx (+ (* a a) (+ (* a 4) 4)) #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) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))

soundness1.4s (16.4%)

Memory
-32.9MiB live, 806.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047615
076605
1375605
23357605
08909545
01751722
15651702
217181666
351571616
082391442
024710080
18109606
223968854
362878650
082217790
070707
0104696
1476687
24137687
08214609
02559032
18358647
225187950
370037864
081987065
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 601 to 293 computations (51.2% saved)

preprocess164.0ms (2%)

Memory
28.3MiB live, 264.0MiB allocated
Remove

(abs b)

Compiler

Compiled 978 to 286 computations (70.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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