Bouland and Aaronson, Equation (25)

Time bar (total: 9.6s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

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

Compiled 33 to 20 computations (39.4% saved)

sample1.4s (14.5%)

Memory
87.9MiB live, 2 105.0MiB allocated
Samples
938.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 717.0ms
ival-mult: 346.0ms (48.2% of total)
ival-add: 166.0ms (23.1% of total)
ival-sub: 94.0ms (13.1% of total)
ival-pow2: 90.0ms (12.5% of total)
exact: 12.0ms (1.7% of total)
ival-true: 5.0ms (0.7% of total)
ival-assert: 4.0ms (0.6% of total)
Bogosity

explain520.0ms (5.4%)

Memory
-67.2MiB live, 387.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
570-0-(+.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))))))
370-0-(+.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))))
190-2(-5.006082446564287e+206 1.5136167787099986e-160)(*.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-rescue570
(*.f64 b b)overflow60
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))overflow156
(*.f64 a a)overflow61
(+.f64 (*.f64 a a) (*.f64 b b))overflow108
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))overflow2
(*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a))overflow87
(*.f64 a a)overflow61
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))overflow77
(+.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))))overflow127
(*.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)))))overflow127
(*.f64 #s(literal 3 binary64) a)overflow2
(*.f64 b b)overflow60
+.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-rescue370
(*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a))overflow87
(*.f64 a a)overflow61
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))overflow2
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))overflow77
(*.f64 #s(literal 3 binary64) a)overflow2
(*.f64 b b)overflow60
*.f64(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))n*o10
Confusion
Predicted +Predicted -
+730
-0183
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+7300
-00183
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0183
151
222
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
61.0ms474×0valid
48.0ms18×2valid
5.0ms20×1valid
Compiler

Compiled 339 to 61 computations (82% saved)

Precisions
Click to see histograms. Total time spent on operations: 91.0ms
ival-pow2: 47.0ms (51.5% of total)
ival-mult: 18.0ms (19.7% of total)
ival-sub: 12.0ms (13.2% of total)
ival-add: 9.0ms (9.9% of total)
adjust: 2.0ms (2.2% of total)
exact: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess380.0ms (3.9%)

Memory
11.6MiB live, 195.1MiB allocated
Algorithm
egg-herbie
Rules
21 268×lower-fma.f64
21 268×lower-fma.f32
4 248×lower--.f32
4 244×lower--.f64
3 998×lower-+.f32
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 (*.f64 b (+.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a)))) b (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) #s(literal -1 binary64)))
Symmetry

(abs b)

Compiler

Compiled 33 to 19 computations (42.4% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.4%
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
Compiler

Compiled 33 to 19 computations (42.4% saved)

simplify276.0ms (2.9%)

Memory
-25.2MiB live, 217.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff128
(+.f64 (*.f64 a a) (*.f64 b b))
cost-diff128
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
cost-diff256
(+.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))))))
cost-diff5440
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
Rules
21 268×lower-fma.f64
21 268×lower-fma.f32
4 248×lower--.f32
4 244×lower--.f64
3 998×lower-+.f32
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 (*.f64 b (+.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a)))) b (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) #s(literal -1 binary64)))
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
(fma.f64 (*.f64 b (+.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a)))) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))))))
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
(*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))
(+.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%)

Memory
22.3MiB live, 98.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.14453125
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
accuracy4.198474848580349
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))
accuracy8.48823583826453
(+.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))))
accuracy11.355468750000002
(+.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
76.0ms237×0valid
3.0ms2valid
2.0ms10×1valid
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 (42.7% of total)
ival-add: 5.0ms (23.7% of total)
ival-sub: 3.0ms (14.2% of total)
ival-pow2: 3.0ms (14.2% 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)

series57.0ms (0.6%)

Memory
-6.3MiB live, 44.1MiB allocated
Counts
6 → 144
Calls
Call 1
Inputs
#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 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 (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)) (patch (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())
#s(alt (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 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 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>) () ())
Outputs
#s(alt (pow a 4) (taylor 0 b) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (taylor 0 b) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) (taylor 0 b) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) (taylor 0 b) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 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>) () ())) ())
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#s(alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) (taylor -inf a) (#s(alt (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 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 (-.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)) (patch (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) #<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 (* -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>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
43.0ms
a
@inf
((pow (+ (* a a) (* b b)) 2) (+ (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) (+ (* a a) (* b b)) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (* b b) (- 1 (* 3 a))))
2.0ms
b
@0
((pow (+ (* a a) (* b b)) 2) (+ (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) (+ (* a a) (* b b)) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (* b b) (- 1 (* 3 a))))
2.0ms
b
@inf
((pow (+ (* a a) (* b b)) 2) (+ (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) (+ (* a a) (* b b)) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (* b b) (- 1 (* 3 a))))
2.0ms
b
@-inf
((pow (+ (* a a) (* b b)) 2) (+ (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) (+ (* a a) (* b b)) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (* b b) (- 1 (* 3 a))))
1.0ms
a
@-inf
((pow (+ (* a a) (* b b)) 2) (+ (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) (+ (* a a) (* b b)) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (* b b) (- 1 (* 3 a))))

simplify245.0ms (2.5%)

Memory
-2.6MiB live, 221.1MiB allocated
Algorithm
egg-herbie
Rules
22 048×lower-fma.f64
22 048×lower-fma.f32
4 280×lower-*.f64
4 280×lower-*.f32
3 958×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01852278
16002240
218342184
358252098
081791858
Stop Event
iter limit
node limit
Counts
144 → 144
Calls
Call 1
Inputs
(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))
(+ (* 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)
(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 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 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)
(* (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 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)
(* (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)
(+ (* 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))
(+ (* 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)
(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 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 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 (+ (* 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 (/ (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))))))
(* -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 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)))
(* -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)))))
Outputs
(pow a 4)
(*.f64 (*.f64 (*.f64 a a) a) a)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)
(+ (* (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 (*.f64 (*.f64 (*.f64 a a) a) a))
(+ (* (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 (*.f64 (*.f64 (*.f64 a a) a) a))
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #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 #s(literal 4 binary64) a #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 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #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)))
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(pow a 4)
(*.f64 (*.f64 (*.f64 a a) a) a)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 a a) a) a))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (*.f64 b b) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 a a) a) a))
(* (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 #s(literal 1 binary64) a) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (fma.f64 (*.f64 (/.f64 b (*.f64 a a)) b) (+.f64 (/.f64 #s(literal -12 binary64) a) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 a a) a) a))
(pow a 4)
(*.f64 (*.f64 (*.f64 a a) a) a)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 a a) a) a))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (*.f64 b b) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 a a) a) a))
(* (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 #s(literal 1 binary64) a) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (fma.f64 (*.f64 (/.f64 b (*.f64 a a)) b) (+.f64 (/.f64 #s(literal -12 binary64) a) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 a a) a) a))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(pow a 3)
(*.f64 (*.f64 a a) a)
(* (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))))
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3 binary64) (*.f64 a a)) (*.f64 b b) #s(literal 1 binary64)) a #s(literal 1 binary64)) (*.f64 a a))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3))))))
(*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (*.f64 a a)) (fma.f64 #s(literal -3 binary64) b (/.f64 b a)))) a #s(literal 1 binary64)) (*.f64 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)
(*.f64 (*.f64 (*.f64 a a) a) a)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (*.f64 b b) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 a a) a) a))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (*.f64 b b) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 a a) a) a)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (*.f64 b b) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 a a) a) a)))
(pow a 4)
(*.f64 (*.f64 (*.f64 a a) a) a)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 a a) a) a))
(* (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)) (*.f64 (*.f64 (*.f64 a a) a) a))
(* (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)) (*.f64 (*.f64 (*.f64 a a) a) a))
(pow a 4)
(*.f64 (*.f64 (*.f64 a a) a) a)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 a a) a) a))
(* (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)) (*.f64 (*.f64 (*.f64 a a) a) a))
(* (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)) (*.f64 (*.f64 (*.f64 a a) a) a))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(pow a 3)
(*.f64 (*.f64 a a) a)
(* (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 (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -3 binary64) #s(literal 1 binary64)) a) #s(literal -1 binary64)) a) (*.f64 a a))
(* -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 (*.f64 b (fma.f64 #s(literal -3 binary64) b (/.f64 b a))) a) #s(literal 1 binary64)) a) #s(literal -1 binary64)) a) (*.f64 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)

rewrite283.0ms (2.9%)

Memory
42.7MiB live, 476.7MiB allocated
Rules
5 620×lower-fma.f64
5 620×lower-fma.f32
4 066×lower-/.f64
4 066×lower-/.f32
3 976×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019102
032102
1145102
21259102
0825882
Stop Event
iter limit
node limit
iter limit
Counts
6 → 540
Calls
Call 1
Inputs
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
(+.f64 (*.f64 a a) (*.f64 b b))
(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))
Outputs
(*.f64 (/.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b))) (+.f64 a b)) (/.f64 (fma.f64 b b (*.f64 a a)) (-.f64 a b)))
(*.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (+.f64 a b)) (/.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b))) (-.f64 a b)))
(*.f64 (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 b b (*.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 a a) a))) (fma.f64 b b (*.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a a) a) a (*.f64 (*.f64 b b) (fma.f64 b b (neg.f64 (*.f64 a a)))))))
(*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))))
(*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 a a) a)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a a) a) a (*.f64 (*.f64 b b) (fma.f64 b b (neg.f64 (*.f64 a a)))))))
(*.f64 (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b)))))
(*.f64 (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 a a) a)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 (*.f64 (*.f64 a a) a) a (*.f64 (*.f64 b b) (fma.f64 b b (neg.f64 (*.f64 a a))))))))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 a a) a))) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 a a) a) a (*.f64 (*.f64 b b) (fma.f64 b b (neg.f64 (*.f64 a a))))) (*.f64 (+.f64 a b) (-.f64 a b)))))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 a a) a))) (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 a a) a)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 a a) a) a (*.f64 (*.f64 b b) (fma.f64 b b (neg.f64 (*.f64 a a))))) (fma.f64 (*.f64 (*.f64 a a) a) a (*.f64 (*.f64 b b) (fma.f64 b b (neg.f64 (*.f64 a a))))))))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 a a) a))) (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 a a) a)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a a) a) a (*.f64 (*.f64 b b) (fma.f64 b b (neg.f64 (*.f64 a a)))))) #s(literal 2 binary64)))
(*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (fma.f64 b b (*.f64 a a))))
(pow.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))) #s(literal 1 binary64))
(pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a))) (*.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)))) (*.f64 (*.f64 (*.f64 a a) (fma.f64 b b (*.f64 a a))) (*.f64 (*.f64 a a) (fma.f64 b b (*.f64 a a))))) (-.f64 (*.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a))) (*.f64 (*.f64 a a) (fma.f64 b b (*.f64 a a)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) (fma.f64 b b (*.f64 a a))) (*.f64 (*.f64 a a) (fma.f64 b b (*.f64 a a)))) (*.f64 (*.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a))) (*.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a))))) (-.f64 (*.f64 (*.f64 a a) (fma.f64 b b (*.f64 a a))) (*.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)))))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b)) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b))) (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 a a)) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 a a)))) (-.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b)) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 a a))))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 a a)) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 a a))) (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b)) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b)))) (-.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 a a)) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 a a) (fma.f64 b b (*.f64 a a))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a))) (*.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a))) (-.f64 (*.f64 (*.f64 (*.f64 a a) (fma.f64 b b (*.f64 a a))) (*.f64 (*.f64 a a) (fma.f64 b b (*.f64 a a)))) (*.f64 (*.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a))) (*.f64 (*.f64 a a) (fma.f64 b b (*.f64 a a)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a a) (fma.f64 b b (*.f64 a a))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 a a) (fma.f64 b b (*.f64 a a))) (*.f64 (*.f64 a a) (fma.f64 b b (*.f64 a a))) (-.f64 (*.f64 (*.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a))) (*.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)))) (*.f64 (*.f64 (*.f64 a a) (fma.f64 b b (*.f64 a a))) (*.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 a a)) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b)) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 a a)) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 a a))) (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b)) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 a a))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 a a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 a a)) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 a a)) (-.f64 (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b)) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b))) (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 a a)) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 b b (*.f64 a a)))) (neg.f64 (*.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 a a) a))) (fma.f64 b b (*.f64 a a)))) (neg.f64 (fma.f64 (*.f64 (*.f64 a a) a) a (*.f64 (*.f64 b b) (fma.f64 b b (neg.f64 (*.f64 a a)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b))))) (neg.f64 (*.f64 (+.f64 a b) (-.f64 a b))))
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(fma.f64 b (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) (*.f64 (fma.f64 a a a) a))
(fma.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b))
(fma.f64 (*.f64 a a) #s(literal 1 binary64) (fma.f64 (*.f64 a a) a (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)))
(fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b))
(fma.f64 a a (fma.f64 (*.f64 a a) a (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b) (*.f64 (fma.f64 a a a) a))) (/.f64 (*.f64 (*.f64 (fma.f64 a a a) a) (*.f64 (fma.f64 a a a) a)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b) (*.f64 (fma.f64 a a a) a))))
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 a a a) a) (*.f64 (fma.f64 a a a) a)) (-.f64 (*.f64 (fma.f64 a a a) a) (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) (*.f64 b b)) (-.f64 (*.f64 (fma.f64 a a a) a) (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b))))
(+.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 a a)) (*.f64 (*.f64 a a) a))
(+.f64 (/.f64 (*.f64 (*.f64 (fma.f64 a a a) a) (*.f64 (fma.f64 a a a) a)) (-.f64 (*.f64 (fma.f64 a a a) a) (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) (*.f64 b b)) (-.f64 (*.f64 (fma.f64 a a a) a) (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)))))
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b) (*.f64 (fma.f64 a a a) a))
(+.f64 (*.f64 (fma.f64 a a a) a) (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b))
(+.f64 (*.f64 a a) (fma.f64 (*.f64 a a) a (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (*.f64 a a))) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) a #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 a a) a))) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 3 binary64) a) (fma.f64 #s(literal 3 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) a #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 a a) a)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 3 binary64) a) (fma.f64 #s(literal 3 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))
(*.f64 (*.f64 b b) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))
(*.f64 b (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))) (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal -3 binary64) a) (*.f64 b b))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) a)) (*.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) a)))) (-.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) a))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) (*.f64 b b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 b b) b) b (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) (*.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal -3 binary64) a) (*.f64 b b))))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b) (pow.f64 (*.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) a)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 b b) b) b (-.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) a)) (*.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) a))) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) a))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (*.f64 a a))) (*.f64 b b))) (neg.f64 (fma.f64 #s(literal 3 binary64) a #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 a a) a))) (*.f64 b b))) (neg.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) (fma.f64 #s(literal 3 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (*.f64 a a))))) (neg.f64 (fma.f64 #s(literal 3 binary64) a #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 a a) a))))) (neg.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) (fma.f64 #s(literal 3 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (*.f64 a a))) (*.f64 b b)) (fma.f64 #s(literal 3 binary64) a #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 a a) a))) (*.f64 b b)) (fma.f64 (*.f64 #s(literal 3 binary64) a) (fma.f64 #s(literal 3 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (*.f64 a a)))) (fma.f64 #s(literal 3 binary64) a #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 a a) a)))) (fma.f64 (*.f64 #s(literal 3 binary64) a) (fma.f64 #s(literal 3 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) a #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (*.f64 a a))) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) (fma.f64 #s(literal 3 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 a a) a))) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) a #s(literal 1 binary64)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (*.f64 a a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) (fma.f64 #s(literal 3 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 a a) a))))))
(/.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) a)))
(fma.f64 #s(literal 1 binary64) (*.f64 b b) (*.f64 (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))
(fma.f64 #s(literal 1 binary64) (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) a)))
(fma.f64 (*.f64 b b) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))
(fma.f64 (*.f64 b b) #s(literal 1 binary64) (*.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) a)))
(fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))
(fma.f64 b b (*.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) a)))

eval117.0ms (1.2%)

Memory
2.6MiB live, 301.3MiB allocated
Compiler

Compiled 60 088 to 2 564 computations (95.7% saved)

prune134.0ms (1.4%)

Memory
2.9MiB live, 239.7MiB allocated
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New67212684
Fresh000
Picked101
Done000
Total67312685
Accuracy
100.0%
Counts
685 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.0%
(fma.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) #s(literal -1 binary64)))
20.3%
(fma.f64 (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) #s(literal 2 binary64)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) #s(literal -1 binary64)))
20.3%
(fma.f64 (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) #s(literal -1 binary64)))
71.4%
(-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
44.0%
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b)))))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
58.1%
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (*.f64 a a) a) a)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
72.1%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(literal 1 binary64))
86.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (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 (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))))
66.9%
#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)))
72.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
43.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 b b) b) b))
48.2%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a))
Compiler

Compiled 782 to 350 computations (55.2% saved)

simplify207.0ms (2.1%)

Memory
-9.8MiB live, 288.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff128
(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))
cost-diff128
(-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
cost-diff448
(+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
cost-diff1088
(/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))))
cost-diff0
(*.f64 a a)
cost-diff0
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) 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)))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
cost-diff192
(fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))
cost-diff0
(fma.f64 b b #s(literal 4 binary64))
cost-diff0
(*.f64 b b)
cost-diff0
(fma.f64 (*.f64 b b) (fma.f64 b b #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)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
cost-diff0
(*.f64 a a)
cost-diff0
(*.f64 (*.f64 a a) a)
cost-diff0
(*.f64 (*.f64 (*.f64 a a) a) a)
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a))
cost-diff0
(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 (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) 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)))))) 1) (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 (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))))
cost-diff192
(fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))
cost-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)))
Rules
25 864×lower-fma.f32
25 846×lower-fma.f64
4 674×lower-+.f32
4 668×lower-+.f64
3 286×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051515
082501
1163474
2382470
31177462
43633462
55819462
08530424
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 (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 (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 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 (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 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
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a))
(*.f64 (*.f64 (*.f64 a a) a) a)
(*.f64 (*.f64 a a) a)
(*.f64 a a)
a
#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)))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 b b)
b
(fma.f64 b b #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 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
(*.f64 a a)
a
(fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)
(-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
(+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
(/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))))
(fma.f64 b b (*.f64 a a))
b
(*.f64 a a)
a
(/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))
#s(literal 1 binary64)
(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 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)
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))
(*.f64 b b)
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 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 (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 (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 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 (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 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)
(*.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
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))
(fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64))
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a))
(*.f64 (*.f64 (*.f64 a a) a) a)
(*.f64 (*.f64 a a) a)
(*.f64 a a)
a
#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 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
(*.f64 b b)
b
(fma.f64 b b #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 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(*.f64 a a)
a
(fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))
(fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64))
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)
(-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
(fma.f64 (*.f64 b (+.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a)))) b (fma.f64 (*.f64 a a) (fma.f64 b b (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
(fma.f64 (*.f64 a a) (fma.f64 b b (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64))) (*.f64 (*.f64 b b) (+.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b (*.f64 a a))) #s(literal 4 binary64))))
(/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))))
(*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))
(fma.f64 b b (*.f64 a a))
b
(*.f64 a a)
a
(/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))
#s(literal 1 binary64)
(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 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)
(*.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 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)

localize123.0ms (1.3%)

Memory
-11.9MiB live, 227.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.33805482768892076
(/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))
accuracy4.198474848580349
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))
accuracy8.48823583826453
(+.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))))
accuracy11.355468750000002
(+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
accuracy0
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
accuracy0
(*.f64 a a)
accuracy0.07421875
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
accuracy17.309318632026276
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
accuracy0
(fma.f64 b b #s(literal 4 binary64))
accuracy0
(*.f64 b b)
accuracy0.07421875
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
accuracy21.183529540008674
#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)))
accuracy0
(*.f64 a a)
accuracy0.08203125
(*.f64 (*.f64 a a) a)
accuracy0.0859375
(*.f64 (*.f64 (*.f64 a a) a) a)
accuracy33.127638717267125
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a))
accuracy0.07421875
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
accuracy0.41015625000000006
(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)))
accuracy4.050162984986131
(*.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)
accuracy8.114035923850148
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (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 (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))))
Samples
63.0ms237×0valid
7.0ms2valid
5.0ms10×1valid
Compiler

Compiled 492 to 46 computations (90.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-mult: 24.0ms (45.2% of total)
ival-add: 16.0ms (30.2% of total)
ival-sub: 4.0ms (7.5% of total)
adjust: 3.0ms (5.7% of total)
ival-div: 3.0ms (5.7% of total)
ival-pow2: 3.0ms (5.7% of total)
exact: 1.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series59.0ms (0.6%)

Memory
-8.0MiB live, 107.3MiB allocated
Counts
22 → 408
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 #s(literal 4 binary64) a #s(literal 4 binary64))) (patch (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (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 (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (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 (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (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 (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 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 (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a)) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 a a) a) a) (patch (*.f64 (*.f64 (*.f64 a a) a) a) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 a a) a) (patch (*.f64 (*.f64 a a) a) #<representation binary64>) () ())
#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #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 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())
#s(alt (fma.f64 b b #s(literal 4 binary64)) (patch (fma.f64 b b #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (patch (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) (patch (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) #<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 (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 #s(literal 4 binary64) a #s(literal 4 binary64)) (patch (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) #<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 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))) #<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 (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 (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (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 (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #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 #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (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 (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (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 (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #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 #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (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 (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (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 (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #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 #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (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 (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (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 (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) 1) (taylor 0 b) (#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 (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 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 (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 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)))))) 1) (taylor 0 b) (#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 (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 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 (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 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)))))) 1) (taylor 0 b) (#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 (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 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 (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 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)))))) 1) (taylor 0 b) (#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 (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 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 (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a)) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) 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))) 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) (*.f64 (*.f64 (*.f64 a a) a) a)) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) 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))) 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) (*.f64 (*.f64 (*.f64 a a) a) a)) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) 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))) 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) (*.f64 (*.f64 (*.f64 a a) a) a)) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #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 b b) (fma.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 #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))) (patch #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))) #<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 b b) (fma.f64 b b #s(literal 4 binary64)) #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 b b) (fma.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 #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 b) (#s(alt (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (pow b 2)) 1) (taylor 0 b) (#s(alt (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow b 2) (+ 4 (pow b 2))) 1) (taylor 0 b) (#s(alt (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow b 2) (+ 4 (pow b 2))) 1) (taylor 0 b) (#s(alt (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ())
#s(alt 4 (taylor 0 b) (#s(alt (fma.f64 b b #s(literal 4 binary64)) (patch (fma.f64 b b #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4 (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 b b #s(literal 4 binary64)) (patch (fma.f64 b b #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4 (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 b b #s(literal 4 binary64)) (patch (fma.f64 b b #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4 (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 b b #s(literal 4 binary64)) (patch (fma.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 #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #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 #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #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 #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #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 #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* (pow a 4) (+ 1 (* 4 (/ 1 a)))) (taylor -inf a) (#s(alt (-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) (taylor -inf a) (#s(alt (-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 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 (-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) #<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 (* 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 (* 4 a) (taylor -inf a) (#s(alt (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (patch (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a (+ 4 (* 4 (/ 1 a)))) (taylor -inf a) (#s(alt (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (patch (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a (+ 4 (* 4 (/ 1 a)))) (taylor -inf a) (#s(alt (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (patch (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a (+ 4 (* 4 (/ 1 a)))) (taylor -inf a) (#s(alt (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (patch (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) #<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 (/ 1 (pow a 2)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
19.0ms
b
@-inf
((+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (+ (* a a) (+ (* 4 a) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (+ (* (* a a) (+ (* a a) (+ (* 4 a) 4))) -1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (* (* (* a a) a) a) (* (* a a) a) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (* b b) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* a a) (+ (* a a) (+ (* 4 a) 4))) -1) (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (+ (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (- (+ (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) (+ (* 4 a) 4) (* (* b b) (- 1 (* 3 a))) (/ 1 (+ (* b b) (* a a))))
4.0ms
b
@0
((+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (+ (* a a) (+ (* 4 a) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (+ (* (* a a) (+ (* a a) (+ (* 4 a) 4))) -1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (* (* (* a a) a) a) (* (* a a) a) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (* b b) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* a a) (+ (* a a) (+ (* 4 a) 4))) -1) (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (+ (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (- (+ (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) (+ (* 4 a) 4) (* (* b b) (- 1 (* 3 a))) (/ 1 (+ (* b b) (* a a))))
4.0ms
b
@inf
((+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (+ (* a a) (+ (* 4 a) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (+ (* (* a a) (+ (* a a) (+ (* 4 a) 4))) -1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (* (* (* a a) a) a) (* (* a a) a) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (* b b) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* a a) (+ (* a a) (+ (* 4 a) 4))) -1) (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (+ (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (- (+ (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) (+ (* 4 a) 4) (* (* b b) (- 1 (* 3 a))) (/ 1 (+ (* b b) (* a a))))
3.0ms
a
@inf
((+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (+ (* a a) (+ (* 4 a) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (+ (* (* a a) (+ (* a a) (+ (* 4 a) 4))) -1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (* (* (* a a) a) a) (* (* a a) a) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (* b b) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* a a) (+ (* a a) (+ (* 4 a) 4))) -1) (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (+ (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (- (+ (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) (+ (* 4 a) 4) (* (* b b) (- 1 (* 3 a))) (/ 1 (+ (* b b) (* a a))))
3.0ms
a
@-inf
((+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (+ (* a a) (+ (* 4 a) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) b) (+ (* (* a a) (+ (* a a) (+ (* 4 a) 4))) -1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (* (* (* a a) a) a) (* (* a a) a) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (* b b) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* a a) (+ (* a a) (+ (* 4 a) 4))) -1) (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (+ (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (- (+ (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b) (+ (* 4 a) 4) (* (* b b) (- 1 (* 3 a))) (/ 1 (+ (* b b) (* a a))))

simplify308.0ms (3.2%)

Memory
28.8MiB live, 436.9MiB allocated
Algorithm
egg-herbie
Rules
23 432×lower-fma.f64
23 432×lower-fma.f32
5 952×lower-+.f64
5 952×lower-+.f32
4 610×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03516730
111006421
231826018
082085481
Stop Event
iter limit
node limit
Counts
408 → 408
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 (+ (* 4 a) (pow a 2)))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) 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)) 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)
-1
(- (* 4 (pow b 2)) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
4
(+ 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)
(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))
(+ (* 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)
(* (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))))
(* 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) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(/ 1 (pow a 2))
(+ (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))
(+ (* (pow b 2) (- (/ (pow b 2) (pow a 6)) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(+ (* (pow b 2) (- (* (pow b 2) (+ (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(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) (+ (* 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)))) (/ 1 (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)))) (/ 1 (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)))) (/ 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)))))) (/ 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 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 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)))))
(* (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 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) (- 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)))
(* 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) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(/ 1 (pow b 2))
(/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2))
(/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2))
(pow b 4)
(* (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) (+ (* 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)))) (/ 1 (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)))) (/ 1 (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)))) (/ 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)))))) (/ 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 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 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)))))
(* (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 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) (- 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)))
(* 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) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(/ 1 (pow b 2))
(/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2))
(/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2))
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)) 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 (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)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 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)) 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)
-1
(- (* 4 (pow a 2)) 1)
(- (* (pow a 2) (+ 4 (* 4 a))) 1)
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)
(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))
(+ (* 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)
(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))
(* 4 b)
(+ (* -12 (* a b)) (* 4 b))
(+ (* 4 b) (* a (+ (* -12 b) (* 2 (* a b)))))
(+ (* 4 b) (* a (+ (* -12 b) (* 2 (* a b)))))
4
(+ 4 (* 4 a))
(+ 4 (* 4 a))
(+ 4 (* 4 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))
(/ 1 (pow b 2))
(+ (* -1 (/ (pow a 2) (pow b 4))) (/ 1 (pow b 2)))
(+ (* (pow a 2) (- (/ (pow a 2) (pow b 6)) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(+ (* (pow a 2) (- (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow b 8))) (/ 1 (pow b 6)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(* 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)
(pow a 4)
(pow a 4)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 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)))) (/ 1 (pow a 4))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* (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 (+ (* 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 (/ 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))))))
(* 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))))))
(* 4 a)
(* a (+ 4 (* 4 (/ 1 a))))
(* a (+ 4 (* 4 (/ 1 a))))
(* a (+ 4 (* 4 (/ 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)))
(/ 1 (pow a 2))
(/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2))
(/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2))
(* 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)
(pow a 4)
(pow a 4)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 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 (* -1 (/ (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4) 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 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 (/ 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)))
(* 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)))
(* 4 a)
(* a (+ 4 (* 4 (/ 1 a))))
(* a (+ 4 (* 4 (/ 1 a))))
(* a (+ 4 (* 4 (/ 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)))))
(/ 1 (pow a 2))
(/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2))
(/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2))
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 (+ (* 4 a) (pow a 2)))) 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 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 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)))
(- (+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 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)))
(- (+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 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)))
(- (+ (* 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)) 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)))
-1
#s(literal -1 binary64)
(- (* 4 (pow b 2)) 1)
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
4
#s(literal 4 binary64)
(+ 4 (pow b 2))
(fma.f64 b b #s(literal 4 binary64))
(+ 4 (pow b 2))
(fma.f64 b b #s(literal 4 binary64))
(+ 4 (pow b 2))
(fma.f64 b b #s(literal 4 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)))
(pow a 4)
(*.f64 (*.f64 (*.f64 a a) a) a)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)
(+ (* (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 (*.f64 (*.f64 (*.f64 a a) a) a))
(+ (* (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 (*.f64 (*.f64 (*.f64 a a) a) a))
(+ (* 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 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) (*.f64 b b) (*.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 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)))
(* (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))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b)
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b)
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b)
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) 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)
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(+ (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))
(/.f64 (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a a))
(+ (* (pow b 2) (- (/ (pow b 2) (pow a 6)) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(fma.f64 (*.f64 (/.f64 b (pow.f64 a #s(literal 6 binary64))) b) (*.f64 b b) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a a)))
(+ (* (pow b 2) (- (* (pow b 2) (+ (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(fma.f64 (*.f64 (fma.f64 (neg.f64 b) (/.f64 b (pow.f64 a #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 6 binary64)))) (*.f64 b b)) (*.f64 b b) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a a)))
(pow b 4)
(*.f64 (*.f64 (*.f64 b b) b) b)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(*.f64 (+.f64 (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) b))
(* (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))))
(*.f64 (-.f64 (+.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 (*.f64 b b) b) b)) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 (*.f64 (*.f64 b b) b) b)) (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 (*.f64 (*.f64 b b) b) b))
(* (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))))
(*.f64 (-.f64 (+.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 (*.f64 b b) b) b)) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 (*.f64 (*.f64 b b) b) b)) (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 (*.f64 (*.f64 b b) b) b))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) (*.f64 b b))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(fma.f64 (fma.f64 (*.f64 a a) (+.f64 (/.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 2 binary64)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
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(fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))
(* a (+ 4 (* 4 (/ 1 a))))
(fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))
(* -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 b (fma.f64 b #s(literal -3 binary64) (/.f64 b a))) a)
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))
(*.f64 (*.f64 b (fma.f64 b #s(literal -3 binary64) (/.f64 b a))) a)
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))
(*.f64 (*.f64 b (fma.f64 b #s(literal -3 binary64) (/.f64 b a))) a)
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/.f64 (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a a))
(/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2))
(/.f64 (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(literal 1 binary64))) (*.f64 a a))
(/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 (*.f64 (*.f64 (*.f64 b b) b) (neg.f64 b)) (*.f64 (*.f64 (*.f64 a a) a) a)))) (*.f64 a a))
(* 2 (pow a 2))
(*.f64 (*.f64 a a) #s(literal 2 binary64))
(* (pow a 2) (- 2 (* 12 (/ 1 a))))
(*.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 #s(literal 4 binary64) (*.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 #s(literal 4 binary64) (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) a)) a) a))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 a #s(literal 4 binary64)) a)
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))
(pow a 4)
(*.f64 (*.f64 (*.f64 a a) a) a)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 a a) a) a))
(* (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)) (*.f64 (*.f64 (*.f64 a a) a) a))
(* (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 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) a)) #s(literal 4 binary64)) a)) a)) (*.f64 (*.f64 (*.f64 a a) a) a))
(pow a 4)
(*.f64 (*.f64 (*.f64 a a) a) a)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 a a) a) a))
(* (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)) (*.f64 (*.f64 (*.f64 a a) a) a))
(* (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 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) a)) #s(literal 4 binary64)) a)) a)) (*.f64 (*.f64 (*.f64 a a) a) a))
(pow a 4)
(*.f64 (*.f64 (*.f64 a a) a) a)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 a a) a) a))
(* (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)) (*.f64 (*.f64 (*.f64 a a) a) a))
(* (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 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) a)) #s(literal 4 binary64)) a)) a)) (*.f64 (*.f64 (*.f64 a a) a) a))
(pow a 4)
(*.f64 (*.f64 (*.f64 a a) a) a)
(pow a 4)
(*.f64 (*.f64 (*.f64 a a) a) a)
(pow a 4)
(*.f64 (*.f64 (*.f64 a a) a) a)
(pow a 4)
(*.f64 (*.f64 (*.f64 a a) a) a)
(pow a 3)
(*.f64 (*.f64 a a) a)
(pow a 3)
(*.f64 (*.f64 a a) a)
(pow a 3)
(*.f64 (*.f64 a a) a)
(pow a 3)
(*.f64 (*.f64 a a) a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 4)
(*.f64 (*.f64 (*.f64 a a) a) a)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 a a) a) a))
(* (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)) (*.f64 (*.f64 (*.f64 a a) a) a))
(* (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 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) a)) #s(literal 4 binary64)) a)) a)) (*.f64 (*.f64 (*.f64 a a) a) a))
(pow a 4)
(*.f64 (*.f64 (*.f64 a a) a) a)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 a a) a) a))
(* (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)) (*.f64 (*.f64 (*.f64 a a) a) a))
(* (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 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) a)) #s(literal 4 binary64)) a)) a)) (*.f64 (*.f64 (*.f64 a a) a) a))
(pow a 4)
(*.f64 (*.f64 (*.f64 a a) a) a)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 a a) a) a))
(* (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)) (*.f64 (*.f64 (*.f64 a a) a) a))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a a))) a)) a)) (*.f64 (*.f64 (*.f64 a a) a) a))
(pow a 4)
(*.f64 (*.f64 (*.f64 a a) a) a)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 a a) a) a))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(*.f64 (+.f64 (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 (*.f64 a a) a) a))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 a a) a) a))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(*.f64 (+.f64 (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 (*.f64 a a) a) a))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 a a) a) a))
(pow a 4)
(*.f64 (*.f64 (*.f64 a a) a) a)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 a a) a) a))
(* (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)) (*.f64 (*.f64 (*.f64 a a) a) a))
(* (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 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) a)) #s(literal 4 binary64)) a)) a)) (*.f64 (*.f64 (*.f64 a a) a) a))
(pow a 4)
(*.f64 (*.f64 (*.f64 a a) a) a)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 a a) a) a))
(* (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)) (*.f64 (*.f64 (*.f64 a a) a) a))
(* (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 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) a)) #s(literal 4 binary64)) a)) a)) (*.f64 (*.f64 (*.f64 a a) a) a))
(pow a 3)
(*.f64 (*.f64 a a) a)
(* (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 #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 b (/.f64 b a)) #s(literal -3 binary64) #s(literal 1 binary64)) a)) a) (*.f64 (neg.f64 a) a))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1)))
(*.f64 (*.f64 (*.f64 (neg.f64 a) a) a) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (-.f64 (*.f64 b #s(literal 3 binary64)) (/.f64 b 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 b #s(literal 2 binary64) (/.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 b #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 b a) (*.f64 #s(literal 12 binary64) b)) (neg.f64 a))) a) a)
(* 4 a)
(*.f64 a #s(literal 4 binary64))
(* a (+ 4 (* 4 (/ 1 a))))
(fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))
(* a (+ 4 (* 4 (/ 1 a))))
(fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))
(* a (+ 4 (* 4 (/ 1 a))))
(fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))
(* -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 b (fma.f64 b #s(literal -3 binary64) (/.f64 b a))) a)
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))
(*.f64 (*.f64 b (fma.f64 b #s(literal -3 binary64) (/.f64 b a))) a)
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))
(*.f64 (*.f64 b (fma.f64 b #s(literal -3 binary64) (/.f64 b a))) a)
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/.f64 (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a a))
(/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2))
(/.f64 (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(literal 1 binary64))) (*.f64 a a))
(/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 (*.f64 (*.f64 (*.f64 b b) b) (neg.f64 b)) (*.f64 (*.f64 (*.f64 a a) a) a)))) (*.f64 a a))

rewrite233.0ms (2.4%)

Memory
-24.8MiB live, 363.3MiB allocated
Rules
3 900×lower-fma.f32
3 882×lower-fma.f64
3 568×lower-/.f32
3 564×lower-/.f64
3 350×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051409
082391
1363366
23448366
08484333
Stop Event
iter limit
node limit
iter limit
Counts
22 → 612
Calls
Call 1
Inputs
(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 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (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 (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 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 (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a))
(*.f64 (*.f64 (*.f64 a a) a) a)
(*.f64 (*.f64 a a) a)
(*.f64 a a)
#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)))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 b b)
(fma.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)))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
(/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))))
(+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
(-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 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 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b)
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))
(/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))
Outputs
(*.f64 (fma.f64 (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 16 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (*.f64 a a)))))
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 64 binary64) (*.f64 #s(literal 8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 16 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 4 binary64)))))))
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(/.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (*.f64 a a)))) (fma.f64 #s(literal 3 binary64) a #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 b b) (fma.f64 #s(literal 9 binary64) (*.f64 a a) #s(literal -1 binary64))) (fma.f64 a #s(literal -3 binary64) #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 b b) (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) a) #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal 3 binary64) a) (fma.f64 #s(literal 3 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 b b) (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) a) #s(literal 1 binary64))) (fma.f64 #s(literal 9 binary64) (*.f64 a a) (fma.f64 #s(literal 3 binary64) a #s(literal 1 binary64))))
(fma.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 b b) (*.f64 #s(literal 1 binary64) (*.f64 b b)))
(fma.f64 (*.f64 b b) (*.f64 a #s(literal -3 binary64)) (*.f64 (*.f64 b b) #s(literal 1 binary64)))
(fma.f64 (*.f64 b b) #s(literal 1 binary64) (*.f64 (*.f64 b b) (*.f64 a #s(literal -3 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 b b) (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))
(+.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 #s(literal 1 binary64) (*.f64 b b)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))
(+.f64 (*.f64 (*.f64 b b) (*.f64 a #s(literal -3 binary64))) (*.f64 (*.f64 b b) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 b b) #s(literal 1 binary64)) (*.f64 (*.f64 b b) (*.f64 a #s(literal -3 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 b b (*.f64 a a))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (fma.f64 b b (*.f64 a a))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b)))) (*.f64 (+.f64 a b) (-.f64 a b)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 b a) (-.f64 b a)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 b a) (-.f64 b a)))) (*.f64 (+.f64 b a) (-.f64 b a)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 (*.f64 (*.f64 a a) a) a))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 a a) (*.f64 (+.f64 a b) (-.f64 a b))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a)))) (fma.f64 (*.f64 b b) (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 (*.f64 (*.f64 a a) a) a)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a)))) (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 a a) (*.f64 (+.f64 a b) (-.f64 a b)))))
(*.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 b b (*.f64 a a))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))))
(pow.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (fma.f64 b b (*.f64 a a)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))) #s(literal 1 binary64))
(pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (fma.f64 b b (*.f64 a a))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 b b (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 b b (*.f64 a a)))))
(/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 b b (*.f64 a a))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 b b (*.f64 a a)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 b b (*.f64 a a))) #s(literal -1 binary64)))

eval179.0ms (1.9%)

Memory
42.5MiB live, 386.8MiB allocated
Compiler

Compiled 53 501 to 2 762 computations (94.8% saved)

prune248.0ms (2.6%)

Memory
-28.1MiB live, 388.3MiB allocated
Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New1 277161 293
Fresh527
Picked415
Done000
Total1 286191 305
Accuracy
100.0%
Counts
1 305 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))) #s(literal 1 binary64))
72.1%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(literal 1 binary64))
87.3%
#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))))
72.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
31.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (/.f64 (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b) #s(literal 64 binary64)) (fma.f64 (*.f64 (*.f64 b b) b) b (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) #s(literal -1 binary64)))
43.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64)))) #s(literal -1 binary64)))
50.1%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
72.1%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a #s(approx (+ (* 4 a) 4) #s(literal 4 binary64))) #s(literal -1 binary64)))
39.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
72.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (*.f64 (+.f64 a #s(literal 4 binary64)) a)) #s(literal -1 binary64)))
72.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (*.f64 a a)) #s(literal -1 binary64)))
50.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
48.2%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 a #s(literal 4 binary64)))
31.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a)) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)) (fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal 1 binary64))))
31.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a)) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal 1 binary64)))))
43.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 b b) b) b))
48.2%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a))
48.2%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
25.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
Compiler

Compiled 638 to 303 computations (52.5% saved)

simplify183.0ms (1.9%)

Memory
-1.2MiB live, 192.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 b b)
cost-diff0
(fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #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)))))) 1) (fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64)))) #s(literal -1 binary64)))
cost-diff320
(*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64))))
cost-diff0
(*.f64 (*.f64 a a) a)
cost-diff0
(*.f64 (*.f64 (*.f64 a a) a) a)
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) 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 (*.f64 a a) a) a)) #s(literal 1 binary64))
cost-diff0
(*.f64 b b)
cost-diff0
(*.f64 (*.f64 b b) b)
cost-diff0
(*.f64 (*.f64 (*.f64 b b) b) b)
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 b b) b) b))
cost-diff0
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #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) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
cost-diff0
(fma.f64 b b (*.f64 a a))
cost-diff128
(+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b))))
cost-diff128
(-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))) #s(literal 1 binary64))
cost-diff1088
(/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))))
Rules
22 572×lower-fma.f32
22 564×lower-fma.f64
4 402×lower-+.f32
4 400×lower-+.f64
3 806×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049483
072478
1143433
2323415
3942415
42816415
54445415
08755375
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))) #s(literal 1 binary64))
(+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b))))
(/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))))
(fma.f64 b b (*.f64 a a))
b
(*.f64 a a)
a
(/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))
#s(literal 1 binary64)
(*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))
#s(literal 4 binary64)
#s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b))
(*.f64 b b)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 b b) b) b))
(*.f64 (*.f64 (*.f64 b b) b) b)
(*.f64 (*.f64 b b) b)
(*.f64 b b)
b
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) 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 (*.f64 a a) a) a))
(*.f64 (*.f64 (*.f64 a a) a) a)
(*.f64 (*.f64 a a) a)
(*.f64 a 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) (*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64)))) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64)))) #s(literal -1 binary64))
(*.f64 b b)
b
(*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64))))
(fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64))
#s(literal -16 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64)))
#s(literal 1 binary64)
(fma.f64 b b #s(literal -4 binary64))
#s(literal -4 binary64)
#s(literal -1 binary64)
Outputs
(-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))) #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)))
(+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b))))
(fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal 4 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))))
(/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))))
(*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))
(fma.f64 b b (*.f64 a a))
b
(*.f64 a a)
a
(/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))
#s(literal 1 binary64)
(*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))
(*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b))
(*.f64 b b)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 b b) b) b))
(*.f64 (*.f64 (*.f64 b b) b) b)
(*.f64 (*.f64 b b) b)
(*.f64 b b)
b
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) 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 (*.f64 a a) a) a))
(*.f64 (*.f64 (*.f64 a a) a) a)
(*.f64 (*.f64 a a) a)
(*.f64 a 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) (*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (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 b (fma.f64 b b #s(literal -4 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 b b) b) b #s(literal -16 binary64)) b) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64)))) #s(literal -1 binary64))
(fma.f64 (/.f64 b (fma.f64 b b #s(literal -4 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 b b) b) b #s(literal -16 binary64)) b) #s(literal -1 binary64))
(*.f64 b b)
b
(*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 b b) b) b #s(literal -16 binary64)) (fma.f64 b b #s(literal -4 binary64)))
(fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64))
(fma.f64 (*.f64 (*.f64 b b) b) b #s(literal -16 binary64))
#s(literal -16 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64)))
#s(literal 1 binary64)
(fma.f64 b b #s(literal -4 binary64))
#s(literal -4 binary64)
#s(literal -1 binary64)

localize112.0ms (1.2%)

Memory
12.5MiB live, 100.7MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.07421875
(fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64))
accuracy0.16938764239758336
(/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64)))
accuracy18.79408316802682
(*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64))))
accuracy21.183529540008674
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64)))) #s(literal -1 binary64)))
accuracy0
(*.f64 a a)
accuracy0.08203125
(*.f64 (*.f64 a a) a)
accuracy0.0859375
(*.f64 (*.f64 (*.f64 a a) a) a)
accuracy29.031570290265766
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a))
accuracy0
(*.f64 b b)
accuracy0.05078125
(*.f64 (*.f64 (*.f64 b b) b) b)
accuracy0.078125
(*.f64 (*.f64 b b) b)
accuracy36.46686654525819
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 b b) b) b))
accuracy21.183529540008674
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
accuracy32.24052372735796
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))
accuracy0.0703125
(/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))))
accuracy0.33805482768892076
(/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))
accuracy11.355468750000002
(+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b))))
accuracy35.47393100409386
#s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b))
Samples
89.0ms256×0valid
Compiler

Compiled 424 to 42 computations (90.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 73.0ms
ival-sub: 31.0ms (42.6% of total)
ival-mult: 19.0ms (26.1% of total)
ival-add: 11.0ms (15.1% of total)
ival-pow2: 6.0ms (8.2% of total)
ival-div: 4.0ms (5.5% of total)
exact: 1.0ms (1.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series34.0ms (0.4%)

Memory
11.0MiB live, 47.8MiB allocated
Counts
22 → 396
Calls
Call 1
Inputs
#s(alt (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (patch (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))) (patch (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))) #<representation binary64>) () ())
#s(alt (fma.f64 b b (*.f64 a a)) (patch (fma.f64 b b (*.f64 a a)) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)) (patch #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 b b) b) b)) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 b b) b) b)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 b b) b) b) (patch (*.f64 (*.f64 (*.f64 b b) b) b) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 b b) b) (patch (*.f64 (*.f64 b b) b) #<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)))))) (*.f64 (*.f64 (*.f64 a a) 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 (*.f64 a a) 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 (*.f64 a a) a) a)) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 a a) a) a) (patch (*.f64 (*.f64 (*.f64 a a) a) a) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 a a) a) (patch (*.f64 (*.f64 a a) a) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64)))) (patch (*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64)))) #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 b b) (*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64)))) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64)))) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64)))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) (patch #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))) #<representation binary64>) () ())
#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) (patch (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (pow a 4) (taylor 0 b) (#s(alt (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (patch (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (taylor 0 b) (#s(alt (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (patch (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) (taylor 0 b) (#s(alt (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (patch (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) (taylor 0 b) (#s(alt (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (patch (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1) (taylor 0 b) (#s(alt (-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1) (taylor 0 b) (#s(alt (-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt (-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt (-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) (taylor 0 b) (#s(alt (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))) (patch (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))) #<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 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))) (patch (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))) #<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 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))) (patch (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))) #<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 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))) (patch (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor 0 b) (#s(alt (fma.f64 b b (*.f64 a a)) (patch (fma.f64 b b (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ (pow a 2) (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 b b (*.f64 a a)) (patch (fma.f64 b b (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ (pow a 2) (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 b b (*.f64 a a)) (patch (fma.f64 b b (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ (pow a 2) (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 b b (*.f64 a a)) (patch (fma.f64 b b (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #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) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* (pow a 4) (+ 1 (* 4 (/ 1 a)))) (taylor -inf a) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) (taylor -inf a) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 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 #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor -inf a) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 b b) b) b)) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 b b) b) b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* 4 (/ 1 a)))) (taylor -inf a) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 b b) b) b)) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 b b) b) b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) (taylor -inf a) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 b b) b) b)) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 b b) b) b)) #<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 #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 b b) b) b)) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 b b) b) b)) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor -inf a) (#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) 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 (*.f64 a a) a) a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* 4 (/ 1 a)))) (taylor -inf a) (#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) 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 (*.f64 a a) a) a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) (taylor -inf a) (#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) 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 (*.f64 a a) a) a)) #s(literal 1 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 (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) 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 (*.f64 a a) a) a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor -inf a) (#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* 4 (/ 1 a)))) (taylor -inf a) (#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) (taylor -inf a) (#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #<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 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor -inf a) (#s(alt (*.f64 (*.f64 (*.f64 a a) a) a) (patch (*.f64 (*.f64 (*.f64 a a) a) a) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor -inf a) (#s(alt (*.f64 (*.f64 (*.f64 a a) a) a) (patch (*.f64 (*.f64 (*.f64 a a) a) a) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor -inf a) (#s(alt (*.f64 (*.f64 (*.f64 a a) a) a) (patch (*.f64 (*.f64 (*.f64 a a) a) a) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor -inf a) (#s(alt (*.f64 (*.f64 (*.f64 a a) a) a) (patch (*.f64 (*.f64 (*.f64 a a) a) a) #<representation binary64>) () ())) ())
#s(alt (pow a 3) (taylor -inf a) (#s(alt (*.f64 (*.f64 a a) a) (patch (*.f64 (*.f64 a a) a) #<representation binary64>) () ())) ())
#s(alt (pow a 3) (taylor -inf a) (#s(alt (*.f64 (*.f64 a a) a) (patch (*.f64 (*.f64 a a) a) #<representation binary64>) () ())) ())
#s(alt (pow a 3) (taylor -inf a) (#s(alt (*.f64 (*.f64 a a) a) (patch (*.f64 (*.f64 a a) a) #<representation binary64>) () ())) ())
#s(alt (pow a 3) (taylor -inf a) (#s(alt (*.f64 (*.f64 a a) a) (patch (*.f64 (*.f64 a a) a) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor -inf a) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64)))) #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 b b) (*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64)))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* 4 (/ 1 a)))) (taylor -inf a) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64)))) #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 b b) (*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64)))) #s(literal -1 binary64))) #<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 #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64)))) #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 b b) (*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64)))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow a 3) (taylor -inf a) (#s(alt #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) (patch #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 3) (+ 1 (/ 1 a))) (taylor -inf a) (#s(alt #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) (patch #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1))) (taylor -inf a) (#s(alt #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) (patch #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #<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 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) (patch #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow a 2)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.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 (pow a 2) (taylor -inf a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
6.0ms
b
@inf
((/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (- (+ (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* b b) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (* (* (* b b) b) b) (* (* b b) b) (* 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)))))) (* (* (* a a) a) a) (* (* a a) a) (* (+ (* (* b b) (* b b)) -16) (/ 1 (+ (* b b) -4))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* b b) (* (+ (* (* b b) (* b b)) -16) (/ 1 (+ (* b b) -4)))) -1) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (/ 1 (+ (* b b) (* a a))) (* a a) (/ 1 (+ (* b b) -4)) (+ (* (* b b) (* b b)) -16))
4.0ms
b
@0
((/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (- (+ (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* b b) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (* (* (* b b) b) b) (* (* b b) b) (* 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)))))) (* (* (* a a) a) a) (* (* a a) a) (* (+ (* (* b b) (* b b)) -16) (/ 1 (+ (* b b) -4))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* b b) (* (+ (* (* b b) (* b b)) -16) (/ 1 (+ (* b b) -4)))) -1) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (/ 1 (+ (* b b) (* a a))) (* a a) (/ 1 (+ (* b b) -4)) (+ (* (* b b) (* b b)) -16))
2.0ms
b
@-inf
((/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (- (+ (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* b b) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (* (* (* b b) b) b) (* (* b b) b) (* 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)))))) (* (* (* a a) a) a) (* (* a a) a) (* (+ (* (* b b) (* b b)) -16) (/ 1 (+ (* b b) -4))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* b b) (* (+ (* (* b b) (* b b)) -16) (/ 1 (+ (* b b) -4)))) -1) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (/ 1 (+ (* b b) (* a a))) (* a a) (/ 1 (+ (* b b) -4)) (+ (* (* b b) (* b b)) -16))
1.0ms
a
@-inf
((/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (- (+ (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* b b) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (* (* (* b b) b) b) (* (* b b) b) (* 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)))))) (* (* (* a a) a) a) (* (* a a) a) (* (+ (* (* b b) (* b b)) -16) (/ 1 (+ (* b b) -4))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* b b) (* (+ (* (* b b) (* b b)) -16) (/ 1 (+ (* b b) -4)))) -1) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (/ 1 (+ (* b b) (* a a))) (* a a) (/ 1 (+ (* b b) -4)) (+ (* (* b b) (* b b)) -16))
1.0ms
a
@inf
((/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (- (+ (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* b b) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (* (* (* b b) b) b) (* (* b b) b) (* 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)))))) (* (* (* a a) a) a) (* (* a a) a) (* (+ (* (* b b) (* b b)) -16) (/ 1 (+ (* b b) -4))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* b b) (* (+ (* (* b b) (* b b)) -16) (/ 1 (+ (* b b) -4)))) -1) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (/ 1 (+ (* b b) (* a a))) (* a a) (/ 1 (+ (* b b) -4)) (+ (* (* b b) (* b b)) -16))

simplify237.0ms (2.5%)

Memory
-1.2MiB live, 193.6MiB allocated
Algorithm
egg-herbie
Rules
18 416×lower-fma.f64
18 416×lower-fma.f32
4 310×lower-+.f64
4 310×lower-+.f32
3 846×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02936404
18596260
224636096
375906096
081495557
Stop Event
iter limit
node limit
Counts
396 → 396
Calls
Call 1
Inputs
(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))
(- (+ (* 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)
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(+ (pow a 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)
-1
(- (* 4 (pow b 2)) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 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)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 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
(+ 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)
-1
(- (* 4 (pow b 2)) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(* (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))))
(/ 1 (pow a 2))
(+ (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))
(+ (* (pow b 2) (- (/ (pow b 2) (pow a 6)) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(+ (* (pow b 2) (- (* (pow b 2) (+ (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
-1/4
(- (* -1/16 (pow b 2)) 1/4)
(- (* (pow b 2) (- (* -1/64 (pow b 2)) 1/16)) 1/4)
(- (* (pow b 2) (- (* (pow b 2) (- (* -1/256 (pow b 2)) 1/64)) 1/16)) 1/4)
-16
(- (pow b 4) 16)
(- (pow b 4) 16)
(- (pow b 4) 16)
(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)))))) (/ 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)
(* (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 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 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 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)))))) (/ 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)
(pow b 4)
(pow b 4)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 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)
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 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 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (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)))
(/ 1 (pow b 2))
(/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2))
(/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ 1 (pow b 2))
(/ (+ 1 (* 4 (/ 1 (pow b 2)))) (pow b 2))
(/ (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ 16 (pow b 4)))) (pow b 2))
(/ (+ 1 (+ (* 4 (/ 1 (pow b 2))) (+ (* 64 (/ 1 (pow b 6))) (/ 16 (pow b 4))))) (pow b 2))
(pow b 4)
(* (pow b 4) (- 1 (* 16 (/ 1 (pow b 4)))))
(* (pow b 4) (- 1 (* 16 (/ 1 (pow b 4)))))
(* (pow b 4) (- 1 (* 16 (/ 1 (pow b 4)))))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (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)))))) (/ 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)
(* (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 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 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 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)))))) (/ 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)
(pow b 4)
(pow b 4)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 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)
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 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 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (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)))
(/ 1 (pow b 2))
(/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2))
(/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ 1 (pow b 2))
(/ (+ 1 (* 4 (/ 1 (pow b 2)))) (pow b 2))
(/ (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ 16 (pow b 4)))) (pow b 2))
(/ (+ 1 (+ (* 4 (/ 1 (pow b 2))) (+ (* 64 (/ 1 (pow b 6))) (/ 16 (pow b 4))))) (pow b 2))
(pow b 4)
(* (pow b 4) (- 1 (* 16 (/ 1 (pow b 4)))))
(* (pow b 4) (- 1 (* 16 (/ 1 (pow b 4)))))
(* (pow b 4) (- 1 (* 16 (/ 1 (pow b 4)))))
(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))
(- (+ (* 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)
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (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)) 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)) 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)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(- (+ (* 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)
(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))
(/ 1 (pow b 2))
(+ (* -1 (/ (pow a 2) (pow b 4))) (/ 1 (pow b 2)))
(+ (* (pow a 2) (- (/ (pow a 2) (pow b 6)) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(+ (* (pow a 2) (- (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow b 8))) (/ 1 (pow b 6)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 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)))))
(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 (/ (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 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)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(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 (/ 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))))))
(/ 1 (pow a 2))
(/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2))
(/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 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)))))
(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 (/ (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 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)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(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 (/ 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)))
(/ 1 (pow a 2))
(/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2))
(/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
Outputs
(pow a 4)
(*.f64 (*.f64 (*.f64 a a) a) a)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)
(+ (* (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 (*.f64 (*.f64 (*.f64 a a) a) a))
(+ (* (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 (*.f64 (*.f64 (*.f64 a a) a) a))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #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 (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 (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #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 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #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 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #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 #s(literal 4 binary64) a #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 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #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 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #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))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #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 (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 (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #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 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #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 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (* 4 (pow b 2)) 1)
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #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 (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 (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #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 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #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 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
(pow b 4)
(*.f64 (*.f64 (*.f64 b b) b) b)
(pow b 4)
(*.f64 (*.f64 (*.f64 b b) b) b)
(pow b 4)
(*.f64 (*.f64 (*.f64 b b) b) b)
(pow b 4)
(*.f64 (*.f64 (*.f64 b b) b) b)
(pow b 3)
(*.f64 (*.f64 b b) b)
(pow b 3)
(*.f64 (*.f64 b b) b)
(pow b 3)
(*.f64 (*.f64 b b) b)
(pow b 3)
(*.f64 (*.f64 b b) b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #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 (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 (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #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 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #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 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #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 #s(literal 4 binary64) a #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 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #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 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))))
4
#s(literal 4 binary64)
(+ 4 (pow b 2))
(fma.f64 b b #s(literal 4 binary64))
(+ 4 (pow b 2))
(fma.f64 b b #s(literal 4 binary64))
(+ 4 (pow b 2))
(fma.f64 b b #s(literal 4 binary64))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #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 (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 (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #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 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #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 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (* 4 (pow b 2)) 1)
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
(* (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))
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(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 a a) a) a))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) (/.f64 #s(literal 4 binary64) a)) (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (*.f64 b b) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 a a) a) a))
(* (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 b (*.f64 a a)) b) (+.f64 (/.f64 #s(literal -12 binary64) a) #s(literal 2 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a))) (*.f64 (*.f64 (*.f64 a a) a) a))
(pow a 4)
(*.f64 (*.f64 (*.f64 a a) a) a)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 a a) a) a))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) (/.f64 #s(literal 4 binary64) a)) (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (*.f64 b b) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 a a) a) a))
(* (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 b (*.f64 a a)) b) (+.f64 (/.f64 #s(literal -12 binary64) a) #s(literal 2 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a))) (*.f64 (*.f64 (*.f64 a a) a) a))
(pow a 4)
(*.f64 (*.f64 (*.f64 a a) a) a)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 a a) a) a))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) (/.f64 #s(literal 4 binary64) a)) (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (*.f64 b b) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 a a) a) a))
(* (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 b (*.f64 a a)) b) (+.f64 (/.f64 #s(literal -12 binary64) a) #s(literal 2 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a))) (*.f64 (*.f64 (*.f64 a a) a) a))
(pow a 4)
(*.f64 (*.f64 (*.f64 a a) a) a)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 a a) a) a))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) (/.f64 #s(literal 4 binary64) a)) (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (*.f64 b b) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 a a) a) a))
(* (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 b (*.f64 a a)) b) (+.f64 (/.f64 #s(literal -12 binary64) a) #s(literal 2 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a))) (*.f64 (*.f64 (*.f64 a a) a) a))
(pow a 4)
(*.f64 (*.f64 (*.f64 a a) a) a)
(pow a 4)
(*.f64 (*.f64 (*.f64 a a) a) a)
(pow a 4)
(*.f64 (*.f64 (*.f64 a a) a) a)
(pow a 4)
(*.f64 (*.f64 (*.f64 a a) a) a)
(pow a 3)
(*.f64 (*.f64 a a) a)
(pow a 3)
(*.f64 (*.f64 a a) a)
(pow a 3)
(*.f64 (*.f64 a a) a)
(pow a 3)
(*.f64 (*.f64 a a) a)
(pow a 4)
(*.f64 (*.f64 (*.f64 a a) a) a)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 a a) a) a))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) (/.f64 #s(literal 4 binary64) a)) (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (*.f64 b b) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 a a) a) a))
(* (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 b (*.f64 a a)) b) (+.f64 (/.f64 #s(literal -12 binary64) a) #s(literal 2 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a))) (*.f64 (*.f64 (*.f64 a a) a) a))
(pow a 3)
(*.f64 (*.f64 a a) a)
(* (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))))
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3 binary64) (*.f64 a a)) (*.f64 b b) #s(literal 1 binary64)) a #s(literal 1 binary64)) (*.f64 a a))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3))))))
(*.f64 (fma.f64 (fma.f64 (/.f64 b (*.f64 (*.f64 a a) a)) b (fma.f64 (/.f64 #s(literal -3 binary64) (*.f64 a a)) (*.f64 b b) #s(literal 1 binary64))) a #s(literal 1 binary64)) (*.f64 a a))
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/.f64 (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a a))
(/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2))
(/.f64 (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) (fma.f64 (*.f64 b b) (/.f64 (*.f64 b b) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(literal 1 binary64))) (*.f64 a a))
(/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2))
(/.f64 (-.f64 (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) (fma.f64 (*.f64 b b) (/.f64 (*.f64 b b) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(literal 1 binary64))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (*.f64 a a))
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 4)
(*.f64 (*.f64 (*.f64 a a) a) a)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (*.f64 b b) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 a a) a) a))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(*.f64 (fma.f64 (*.f64 b b) (/.f64 (*.f64 b b) (*.f64 (*.f64 (*.f64 a a) a) a)) (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (*.f64 b b) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 a a) a) a))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(*.f64 (fma.f64 (*.f64 b b) (/.f64 (*.f64 b b) (*.f64 (*.f64 (*.f64 a a) a) a)) (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (*.f64 b b) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 a a) a) a))
(pow a 4)
(*.f64 (*.f64 (*.f64 a a) a) a)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 a a) a) a))
(* (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)) (*.f64 (*.f64 (*.f64 a a) a) a))
(* (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)) (*.f64 (*.f64 (*.f64 a a) a) a))
(pow a 4)
(*.f64 (*.f64 (*.f64 a a) a) a)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 a a) a) a))
(* (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)) (*.f64 (*.f64 (*.f64 a a) a) a))
(* (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)) (*.f64 (*.f64 (*.f64 a a) a) a))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) (*.f64 a a))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) (*.f64 a a))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) (*.f64 a a))
(pow a 4)
(*.f64 (*.f64 (*.f64 a a) a) a)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 a a) a) a))
(* (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)) (*.f64 (*.f64 (*.f64 a a) a) a))
(* (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)) (*.f64 (*.f64 (*.f64 a a) a) a))
(pow a 4)
(*.f64 (*.f64 (*.f64 a a) a) a)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 a a) a) a))
(* (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)) (*.f64 (*.f64 (*.f64 a a) a) a))
(* (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)) (*.f64 (*.f64 (*.f64 a a) a) a))
(pow a 4)
(*.f64 (*.f64 (*.f64 a a) a) a)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 a a) a) a))
(* (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)) (*.f64 (*.f64 (*.f64 a a) a) a))
(* (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)) (*.f64 (*.f64 (*.f64 a a) a) a))
(pow a 4)
(*.f64 (*.f64 (*.f64 a a) a) a)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 a a) a) a))
(* (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)) (*.f64 (*.f64 (*.f64 a a) a) a))
(* (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)) (*.f64 (*.f64 (*.f64 a a) a) a))
(pow a 4)
(*.f64 (*.f64 (*.f64 a a) a) a)
(pow a 4)
(*.f64 (*.f64 (*.f64 a a) a) a)
(pow a 4)
(*.f64 (*.f64 (*.f64 a a) a) a)
(pow a 4)
(*.f64 (*.f64 (*.f64 a a) a) a)
(pow a 3)
(*.f64 (*.f64 a a) a)
(pow a 3)
(*.f64 (*.f64 a a) a)
(pow a 3)
(*.f64 (*.f64 a a) a)
(pow a 3)
(*.f64 (*.f64 a a) a)
(pow a 4)
(*.f64 (*.f64 (*.f64 a a) a) a)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 a a) a) a))
(* (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)) (*.f64 (*.f64 (*.f64 a a) a) a))
(* (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)) (*.f64 (*.f64 (*.f64 a a) a) a))
(pow a 3)
(*.f64 (*.f64 a a) a)
(* (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 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -3 binary64) #s(literal 1 binary64)) a)) a)) (*.f64 a a))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1)))
(*.f64 (*.f64 (neg.f64 a) (*.f64 a a)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (-.f64 (*.f64 #s(literal 3 binary64) b) (/.f64 b a))) a)) a)))
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/.f64 (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a a))
(/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2))
(/.f64 (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) (fma.f64 (*.f64 b b) (/.f64 (*.f64 b b) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(literal 1 binary64))) (*.f64 a a))
(/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2))
(/.f64 (-.f64 (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) (fma.f64 (*.f64 b b) (/.f64 (*.f64 b b) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(literal 1 binary64))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (*.f64 a a))
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)

rewrite247.0ms (2.6%)

Memory
6.1MiB live, 286.4MiB allocated
Rules
6 808×lower-fma.f32
6 800×lower-fma.f64
4 250×lower-/.f32
4 244×lower-/.f64
3 772×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049434
072405
1336349
22980349
08437303
Stop Event
iter limit
node limit
iter limit
Counts
22 → 834
Calls
Call 1
Inputs
(/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))))
(-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))) #s(literal 1 binary64))
(+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b))))
(fma.f64 b b (*.f64 a a))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 b b) b) b))
(*.f64 (*.f64 (*.f64 b b) b) b)
(*.f64 (*.f64 b b) b)
(*.f64 b b)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) 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 (*.f64 a a) a) a))
(*.f64 (*.f64 (*.f64 a a) a) a)
(*.f64 (*.f64 a a) a)
(*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.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)))))) 1) (fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64)))) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64)))) #s(literal -1 binary64))
#s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b))
(/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))
(*.f64 a a)
(/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64)))
(fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64))
Outputs
(*.f64 (/.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 b a) (-.f64 b a))) (+.f64 b a)) (/.f64 (fma.f64 b b (*.f64 a a)) (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b))) (+.f64 a b)) (/.f64 (fma.f64 b b (*.f64 a a)) (-.f64 a b)))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 a a) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (/.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 a a) (*.f64 (+.f64 a b) (-.f64 a b))))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 a a) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (/.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 (*.f64 (*.f64 a a) a) a (*.f64 (*.f64 b b) (*.f64 (+.f64 b a) (-.f64 b a))))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 a a) a) a (*.f64 (*.f64 b b) (*.f64 (+.f64 b a) (-.f64 b a)))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (/.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 a a) (*.f64 (+.f64 a b) (-.f64 a b))))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 a a) a) a (*.f64 (*.f64 b b) (*.f64 (+.f64 b a) (-.f64 b a)))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (/.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 (*.f64 (*.f64 a a) a) a (*.f64 (*.f64 b b) (*.f64 (+.f64 b a) (-.f64 b a))))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 b a) (-.f64 b a))))) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 a a))) (*.f64 (+.f64 b a) (-.f64 b a))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b))))) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 a a))) (*.f64 (+.f64 a b) (-.f64 a b))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))))) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 a a))) (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 a a) (*.f64 (+.f64 a b) (-.f64 a b))))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))))) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 a a))) (fma.f64 (*.f64 (*.f64 a a) a) a (*.f64 (*.f64 b b) (*.f64 (+.f64 b a) (-.f64 b a))))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 a a))) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 a a))) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 b a) (-.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 b a) (-.f64 b a))))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) (*.f64 (+.f64 b a) (-.f64 b a))))
(*.f64 (/.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 b a) (-.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b))))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) (*.f64 (+.f64 a b) (-.f64 a b))))
(*.f64 (/.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 b a) (-.f64 b a))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 a a) (*.f64 (+.f64 a b) (-.f64 a b))))))
(*.f64 (/.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 b a) (-.f64 b a))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) (fma.f64 (*.f64 (*.f64 a a) a) a (*.f64 (*.f64 b b) (*.f64 (+.f64 b a) (-.f64 b a))))))
(*.f64 (/.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 b a) (-.f64 b a))) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 b a) (-.f64 b a))))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (+.f64 b a) (-.f64 b a))))
(*.f64 (/.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b))))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (+.f64 a b) (-.f64 a b))))
(*.f64 (/.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 a a) (*.f64 (+.f64 a b) (-.f64 a b))))))
(*.f64 (/.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 (*.f64 (*.f64 a a) a) a (*.f64 (*.f64 b b) (*.f64 (+.f64 b a) (-.f64 b a))))))
(*.f64 (/.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b))) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 b a) (-.f64 b a))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 a a) (*.f64 (+.f64 a b) (-.f64 a b))))) (*.f64 (+.f64 b a) (-.f64 b a))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 b a) (-.f64 b a))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a a) a) a (*.f64 (*.f64 b b) (*.f64 (+.f64 b a) (-.f64 b a))))) (*.f64 (+.f64 b a) (-.f64 b a))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 a a) (*.f64 (+.f64 a b) (-.f64 a b))))) (*.f64 (+.f64 a b) (-.f64 a b))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a a) a) a (*.f64 (*.f64 b b) (*.f64 (+.f64 b a) (-.f64 b a))))) (*.f64 (+.f64 a b) (-.f64 a b))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 a a) (*.f64 (+.f64 a b) (-.f64 a b))))) (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 a a) (*.f64 (+.f64 a b) (-.f64 a b))))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 a a) (*.f64 (+.f64 a b) (-.f64 a b))))) (fma.f64 (*.f64 (*.f64 a a) a) a (*.f64 (*.f64 b b) (*.f64 (+.f64 b a) (-.f64 b a))))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a a) a) a (*.f64 (*.f64 b b) (*.f64 (+.f64 b a) (-.f64 b a))))) (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 a a) (*.f64 (+.f64 a b) (-.f64 a b))))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a a) a) a (*.f64 (*.f64 b b) (*.f64 (+.f64 b a) (-.f64 b a))))) (fma.f64 (*.f64 (*.f64 a a) a) a (*.f64 (*.f64 b b) (*.f64 (+.f64 b a) (-.f64 b a))))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 a a) (*.f64 (+.f64 a b) (-.f64 a b))))) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a a) a) a (*.f64 (*.f64 b b) (*.f64 (+.f64 b a) (-.f64 b a))))) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 b a) (-.f64 b a))))) (/.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 b a) (-.f64 b a))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b))))) (/.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))))) (/.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 a a) (*.f64 (+.f64 a b) (-.f64 a b))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))))) (/.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 (*.f64 (*.f64 a a) a) a (*.f64 (*.f64 b b) (*.f64 (+.f64 b a) (-.f64 b a))))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal -1/2 binary64))) (/.f64 (fma.f64 b b (*.f64 a a)) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 b a) (-.f64 b a))))) (/.f64 (neg.f64 (fma.f64 b b (*.f64 a a))) (*.f64 (+.f64 b a) (-.f64 b a))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b))))) (/.f64 (neg.f64 (fma.f64 b b (*.f64 a a))) (*.f64 (+.f64 a b) (-.f64 a b))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))))) (/.f64 (neg.f64 (fma.f64 b b (*.f64 a a))) (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 a a) (*.f64 (+.f64 a b) (-.f64 a b))))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))))) (/.f64 (neg.f64 (fma.f64 b b (*.f64 a a))) (fma.f64 (*.f64 (*.f64 a a) a) a (*.f64 (*.f64 b b) (*.f64 (+.f64 b a) (-.f64 b a))))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal -1/2 binary64))) (/.f64 (neg.f64 (fma.f64 b b (*.f64 a a))) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (+.f64 b a)) (/.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 b a) (-.f64 b a))) (-.f64 b a)))
(*.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (+.f64 a b)) (/.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b))) (-.f64 a b)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 a a))) #s(literal -1 binary64)) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 a a))) (/.f64 #s(literal -1 binary64) (fma.f64 b b (*.f64 a a)))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 a a))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))))
(*.f64 (/.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 b a) (-.f64 b a))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) (/.f64 #s(literal -1 binary64) (fma.f64 b b (*.f64 a a)))))
(*.f64 (/.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 b a) (-.f64 b a))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))))
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eval191.0ms (2%)

Memory
-4.5MiB live, 335.1MiB allocated
Compiler

Compiled 55 069 to 3 486 computations (93.7% saved)

prune469.0ms (4.9%)

Memory
-109.4MiB live, 438.5MiB allocated
Pruning

21 alts after pruning (17 fresh and 4 done)

PrunedKeptTotal
New1 45871 465
Fresh31013
Picked235
Done011
Total1 463211 484
Accuracy
100.0%
Counts
1 484 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) (fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal 4 binary64) #s(literal -1 binary64)))
30.9%
(/.f64 (fma.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a 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)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(literal -1 binary64)))
78.0%
(-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* b b) (* a a)) (*.f64 b b)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))) #s(literal 1 binary64))
77.7%
(-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* b b) (* a a)) (*.f64 a a)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))) #s(literal 1 binary64))
72.1%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(literal 1 binary64))
30.9%
(*.f64 (fma.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(literal -1 binary64)) (/.f64 #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 (*.f64 a a) a) a)) #s(literal 1 binary64))))
72.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
20.2%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) #s(approx (/ 1 (+ (* b b) -4)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64)))
50.1%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
72.1%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a #s(approx (+ (* 4 a) 4) #s(literal 4 binary64))) #s(literal -1 binary64)))
39.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
72.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (*.f64 (+.f64 a #s(literal 4 binary64)) a)) #s(literal -1 binary64)))
72.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (*.f64 a a)) #s(literal -1 binary64)))
50.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
48.2%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 a #s(literal 4 binary64)))
31.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a)) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)) (fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal 1 binary64))))
32.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal 1 binary64)))))
43.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 b b) b) b))
48.2%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a))
48.2%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
25.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
Compiler

Compiled 695 to 306 computations (56% saved)

simplify259.0ms (2.7%)

Memory
10.3MiB live, 210.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 (*.f64 a a) a) a)
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a))
cost-diff0
(fma.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(literal -1 binary64))
cost-diff3328
(*.f64 (fma.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(literal -1 binary64)) (/.f64 #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 (*.f64 a a) a) a)) #s(literal 1 binary64))))
cost-diff0
(*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) #s(approx (/ 1 (+ (* b b) -4)) (/.f64 #s(literal 1 binary64) (*.f64 b b))))
cost-diff0
(*.f64 b b)
cost-diff0
(fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) #s(approx (/ 1 (+ (* b b) -4)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) #s(approx (/ 1 (+ (* b b) -4)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64)))
cost-diff0
#s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))
cost-diff0
(*.f64 a a)
cost-diff0
(fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
cost-diff0
#s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64))
cost-diff0
(*.f64 a a)
cost-diff0
(fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #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)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
cost-diff0
(fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal 4 binary64) #s(literal -1 binary64))
cost-diff0
(*.f64 a a)
cost-diff0
(fma.f64 b b (*.f64 a a))
cost-diff0
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) (fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal 4 binary64) #s(literal -1 binary64)))
Rules
21 280×lower-fma.f32
21 262×lower-fma.f64
4 266×lower-+.f32
4 264×lower-+.f64
3 086×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053743
082722
1173690
2386597
31093588
43472588
56407588
08112540
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) (fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal 4 binary64) #s(literal -1 binary64)))
(fma.f64 b b (*.f64 a a))
b
(*.f64 a a)
a
(fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal 4 binary64) #s(literal -1 binary64))
#s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b))
(*.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 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 a a)
a
#s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))
(*.f64 a a)
a
#s(approx (+ (* a a) (+ (* 4 a) 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)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) #s(approx (/ 1 (+ (* b b) -4)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) #s(approx (/ 1 (+ (* b b) -4)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64))
(*.f64 b b)
b
(*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) #s(approx (/ 1 (+ (* b b) -4)) (/.f64 #s(literal 1 binary64) (*.f64 b b))))
(fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64))
#s(literal -16 binary64)
#s(approx (/ 1 (+ (* b b) -4)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
#s(literal 1 binary64)
#s(literal -1 binary64)
(*.f64 (fma.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(literal -1 binary64)) (/.f64 #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 (*.f64 a a) a) a)) #s(literal 1 binary64))))
(fma.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) 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 (*.f64 a a) a) a))
(*.f64 (*.f64 (*.f64 a a) a) a)
(*.f64 (*.f64 a a) a)
(*.f64 a a)
a
#s(literal -1 binary64)
(/.f64 #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 (*.f64 a a) a) a)) #s(literal 1 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 (*.f64 a a) a) a)) #s(literal 1 binary64))
Outputs
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) (fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal 4 binary64) #s(literal -1 binary64)))
(fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)))
(fma.f64 b b (*.f64 a a))
b
(*.f64 a a)
a
(fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal 4 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal -1 binary64))
#s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b))
(*.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 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(*.f64 a a)
a
#s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 #s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64))
(*.f64 a a)
a
#s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))
#s(approx (+ (* a a) (+ (* 4 a) 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)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) #s(approx (/ 1 (+ (* b b) -4)) (/.f64 #s(literal 1 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)))))) 1) (fma.f64 (*.f64 #s(approx (/ 1 (+ (* b b) -4)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64))) (*.f64 b b) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) #s(approx (/ 1 (+ (* b b) -4)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(approx (/ 1 (+ (* b b) -4)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64))) (*.f64 b b) #s(literal -1 binary64))
(*.f64 b b)
b
(*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) #s(approx (/ 1 (+ (* b b) -4)) (/.f64 #s(literal 1 binary64) (*.f64 b b))))
(*.f64 #s(approx (/ 1 (+ (* b b) -4)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)))
(fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64))
#s(literal -16 binary64)
#s(approx (/ 1 (+ (* b b) -4)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
#s(literal 1 binary64)
#s(literal -1 binary64)
(*.f64 (fma.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(literal -1 binary64)) (/.f64 #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 (*.f64 a 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)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(literal 1 binary64))
(fma.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) 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 (*.f64 a a) a) a))
(*.f64 (*.f64 (*.f64 a a) a) a)
(*.f64 (*.f64 a a) a)
(*.f64 a a)
a
#s(literal -1 binary64)
(/.f64 #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 (*.f64 a a) a) a)) #s(literal 1 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 (*.f64 a a) a) a)) #s(literal 1 binary64))

localize147.0ms (1.5%)

Memory
-4.0MiB live, 81.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.08203125
(*.f64 (*.f64 a a) a)
accuracy0.0859375
(*.f64 (*.f64 (*.f64 a a) a) a)
accuracy29.031570290265766
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a))
accuracy34.79850348870388
(*.f64 (fma.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(literal -1 binary64)) (/.f64 #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 (*.f64 a a) a) a)) #s(literal 1 binary64))))
accuracy0.22407514239758336
(/.f64 #s(literal 1 binary64) (*.f64 b b))
accuracy18.79408316802682
(*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) #s(approx (/ 1 (+ (* b b) -4)) (/.f64 #s(literal 1 binary64) (*.f64 b b))))
accuracy21.183529540008674
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) #s(approx (/ 1 (+ (* b b) -4)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64)))
accuracy31.298253767698817
#s(approx (/ 1 (+ (* b b) -4)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
accuracy0
(*.f64 a a)
accuracy0.07421875
(fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))
accuracy17.309318632026276
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
accuracy31.718270123998803
#s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))
accuracy0
(*.f64 a a)
accuracy0.07421875
(fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))
accuracy17.309318632026276
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
accuracy32.06521140183581
#s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64))
accuracy0
(*.f64 b b)
accuracy0
(*.f64 a a)
accuracy11.892885238218485
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) (fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal 4 binary64) #s(literal -1 binary64)))
accuracy35.47393100409386
#s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b))
Samples
105.0ms256×0valid
Compiler

Compiled 587 to 50 computations (91.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 87.0ms
ival-mult: 24.0ms (27.7% of total)
exact: 23.0ms (26.6% of total)
ival-pow2: 17.0ms (19.6% of total)
ival-add: 16.0ms (18.5% of total)
ival-div: 5.0ms (5.8% of total)
ival-sub: 2.0ms (2.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series62.0ms (0.6%)

Memory
6.4MiB live, 42.2MiB allocated
Counts
22 → 384
Calls
Call 1
Inputs
#s(alt (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) (fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal 4 binary64) #s(literal -1 binary64))) (patch (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) (fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal 4 binary64) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 b b (*.f64 a a)) (patch (fma.f64 b b (*.f64 a a)) #<representation binary64>) () ())
#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal 4 binary64) #s(literal -1 binary64)) (patch (fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.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)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #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 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) (patch #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) (patch #s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) #s(approx (/ 1 (+ (* b b) -4)) (/.f64 #s(literal 1 binary64) (*.f64 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 b b) (*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) #s(approx (/ 1 (+ (* b b) -4)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) #s(approx (/ 1 (+ (* b b) -4)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) #s(approx (/ 1 (+ (* b b) -4)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) #s(approx (/ 1 (+ (* b b) -4)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) (patch (*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) #s(approx (/ 1 (+ (* b b) -4)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(literal -1 binary64)) (/.f64 #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 (*.f64 a a) a) a)) #s(literal 1 binary64)))) (patch (*.f64 (fma.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(literal -1 binary64)) (/.f64 #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 (*.f64 a a) a) a)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(literal -1 binary64)) (patch (fma.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) 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 (*.f64 a a) a) a)) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 a a) a) a) (patch (*.f64 (*.f64 (*.f64 a a) a) a) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) (patch #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ (* b b) -4)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (patch #s(approx (/ 1 (+ (* b b) -4)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 b b)) (patch (/.f64 #s(literal 1 binary64) (*.f64 b b)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 a a) a) (patch (*.f64 (*.f64 a a) a) #<representation binary64>) () ())
Outputs
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1) (taylor 0 b) (#s(alt (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) (fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal 4 binary64) #s(literal -1 binary64))) (patch (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) (fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.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 (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) (fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal 4 binary64) #s(literal -1 binary64))) (patch (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) (fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.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 (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) (fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal 4 binary64) #s(literal -1 binary64))) (patch (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) (fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.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 (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) (fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal 4 binary64) #s(literal -1 binary64))) (patch (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) (fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal 4 binary64) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor 0 b) (#s(alt (fma.f64 b b (*.f64 a a)) (patch (fma.f64 b b (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ (pow a 2) (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 b b (*.f64 a a)) (patch (fma.f64 b b (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ (pow a 2) (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 b b (*.f64 a a)) (patch (fma.f64 b b (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ (pow a 2) (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 b b (*.f64 a a)) (patch (fma.f64 b b (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (* (pow a 2) (+ 1 a))) 1) (taylor 0 b) (#s(alt (fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal 4 binary64) #s(literal -1 binary64)) (patch (fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal 4 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (* 4 (* (pow b 2) (- 1 (* 3 a))))) 1) (taylor 0 b) (#s(alt (fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal 4 binary64) #s(literal -1 binary64)) (patch (fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal 4 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (* 4 (* (pow b 2) (- 1 (* 3 a))))) 1) (taylor 0 b) (#s(alt (fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal 4 binary64) #s(literal -1 binary64)) (patch (fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal 4 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (* 4 (* (pow b 2) (- 1 (* 3 a))))) 1) (taylor 0 b) (#s(alt (fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal 4 binary64) #s(literal -1 binary64)) (patch (fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal 4 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #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 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #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 #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #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 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (pow a 4) (taylor -inf a) (#s(alt (*.f64 (*.f64 (*.f64 a a) a) a) (patch (*.f64 (*.f64 (*.f64 a a) a) a) #<representation binary64>) () ())) ())
#s(alt (pow a 3) (taylor -inf a) (#s(alt #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) (patch #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 3) (+ 1 (/ 1 a))) (taylor -inf a) (#s(alt #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) (patch #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1))) (taylor -inf a) (#s(alt #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) (patch #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #<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 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) (patch #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow a 3) (taylor -inf a) (#s(alt (*.f64 (*.f64 a a) a) (patch (*.f64 (*.f64 a a) a) #<representation binary64>) () ())) ())
#s(alt (pow a 3) (taylor -inf a) (#s(alt (*.f64 (*.f64 a a) a) (patch (*.f64 (*.f64 a a) a) #<representation binary64>) () ())) ())
#s(alt (pow a 3) (taylor -inf a) (#s(alt (*.f64 (*.f64 a a) a) (patch (*.f64 (*.f64 a a) a) #<representation binary64>) () ())) ())
#s(alt (pow a 3) (taylor -inf a) (#s(alt (*.f64 (*.f64 a a) a) (patch (*.f64 (*.f64 a a) a) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
23.0ms
a
@inf
((+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) 4) -1)) (+ (* b b) (* a a)) (* a a) (+ (* (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) 4) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* a a) (+ (* a a) (+ (* 4 a) 4))) -1) (+ (* a a) (+ (* 4 a) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* a a) (+ (* a a) (+ (* 4 a) 4))) -1) (+ (* a a) (+ (* 4 a) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* b b) (* (+ (* (* b b) (* b b)) -16) (/ 1 (+ (* b b) -4)))) -1) (* b b) (* (+ (* (* b b) (* b b)) -16) (/ 1 (+ (* b b) -4))) (* (+ (* (+ (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) (/ 1 (+ (+ (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 a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (/ 1 (+ (* b b) -4)) (/ 1 (* b b)) (* (* a a) a))
5.0ms
b
@0
((+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) 4) -1)) (+ (* b b) (* a a)) (* a a) (+ (* (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) 4) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* a a) (+ (* a a) (+ (* 4 a) 4))) -1) (+ (* a a) (+ (* 4 a) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* a a) (+ (* a a) (+ (* 4 a) 4))) -1) (+ (* a a) (+ (* 4 a) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* b b) (* (+ (* (* b b) (* b b)) -16) (/ 1 (+ (* b b) -4)))) -1) (* b b) (* (+ (* (* b b) (* b b)) -16) (/ 1 (+ (* b b) -4))) (* (+ (* (+ (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) (/ 1 (+ (+ (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 a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (/ 1 (+ (* b b) -4)) (/ 1 (* b b)) (* (* a a) a))
4.0ms
a
@0
((+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) 4) -1)) (+ (* b b) (* a a)) (* a a) (+ (* (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) 4) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* a a) (+ (* a a) (+ (* 4 a) 4))) -1) (+ (* a a) (+ (* 4 a) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* a a) (+ (* a a) (+ (* 4 a) 4))) -1) (+ (* a a) (+ (* 4 a) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* b b) (* (+ (* (* b b) (* b b)) -16) (/ 1 (+ (* b b) -4)))) -1) (* b b) (* (+ (* (* b b) (* b b)) -16) (/ 1 (+ (* b b) -4))) (* (+ (* (+ (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) (/ 1 (+ (+ (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 a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (/ 1 (+ (* b b) -4)) (/ 1 (* b b)) (* (* a a) a))
4.0ms
b
@inf
((+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) 4) -1)) (+ (* b b) (* a a)) (* a a) (+ (* (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) 4) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* a a) (+ (* a a) (+ (* 4 a) 4))) -1) (+ (* a a) (+ (* 4 a) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* a a) (+ (* a a) (+ (* 4 a) 4))) -1) (+ (* a a) (+ (* 4 a) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* b b) (* (+ (* (* b b) (* b b)) -16) (/ 1 (+ (* b b) -4)))) -1) (* b b) (* (+ (* (* b b) (* b b)) -16) (/ 1 (+ (* b b) -4))) (* (+ (* (+ (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) (/ 1 (+ (+ (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 a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (/ 1 (+ (* b b) -4)) (/ 1 (* b b)) (* (* a a) a))
2.0ms
a
@-inf
((+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) 4) -1)) (+ (* b b) (* a a)) (* a a) (+ (* (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) 4) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* a a) (+ (* a a) (+ (* 4 a) 4))) -1) (+ (* a a) (+ (* 4 a) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* a a) (+ (* a a) (+ (* 4 a) 4))) -1) (+ (* a a) (+ (* 4 a) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* b b) (* (+ (* (* b b) (* b b)) -16) (/ 1 (+ (* b b) -4)))) -1) (* b b) (* (+ (* (* b b) (* b b)) -16) (/ 1 (+ (* b b) -4))) (* (+ (* (+ (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) (/ 1 (+ (+ (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 a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (/ 1 (+ (* b b) -4)) (/ 1 (* b b)) (* (* a a) a))

simplify234.0ms (2.4%)

Memory
-3.1MiB live, 153.2MiB allocated
Algorithm
egg-herbie
Rules
15 620×lower-fma.f64
15 620×lower-fma.f32
6 096×lower-*.f64
6 096×lower-*.f32
5 128×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05929972
118979728
268189708
080648709
Stop Event
iter limit
node limit
Counts
384 → 384
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)
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(- (* 4 (* (pow a 2) (+ 1 a))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (* 4 (* (pow b 2) (- 1 (* 3 a))))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (* 4 (* (pow b 2) (- 1 (* 3 a))))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (* 4 (* (pow b 2) (- 1 (* 3 a))))) 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)) 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)) 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)
-1
(- (* 4 (pow b 2)) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
4
(+ 4 (pow b 2))
(+ 4 (pow b 2))
(+ 4 (pow b 2))
(/ (- (pow (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 2) 1) (+ 1 (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))))
(- (+ (* (pow b 2) (- (* 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 a 4))))) (/ (* (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a)))) (- (pow (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 2) 1)) (pow (+ 1 (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))) 2)))) (/ (pow (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 2) (+ 1 (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))))) (/ 1 (+ 1 (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)))))
(- (+ (* (pow b 2) (- (+ (* 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 a 4))))) (* (pow b 2) (- (+ (* 2 (/ (pow a 4) (+ 1 (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))))) (+ (* 8 (/ (* (pow a 2) (+ 1 a)) (+ 1 (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))))) (+ (/ 1 (pow (+ 1 (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))) 2)) (/ (pow (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a)))) 2) (+ 1 (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))))))) (+ (/ (* (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a)))) (- (* 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 a 4))))) (/ (* (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a)))) (- (pow (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 2) 1)) (pow (+ 1 (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))) 2)))) (+ 1 (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)))) (/ (pow (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 2) (pow (+ 1 (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))) 2)))))) (/ (* (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a)))) (- (pow (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 2) 1)) (pow (+ 1 (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))) 2)))) (/ (pow (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 2) (+ 1 (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))))) (/ 1 (+ 1 (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)))))
(- (+ (* (pow b 2) (- (+ (* 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 a 4))))) (* (pow b 2) (- (+ (* 2 (/ (pow a 4) (+ 1 (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))))) (+ (* 8 (/ (* (pow a 2) (+ 1 a)) (+ 1 (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))))) (+ (* (pow b 2) (- (+ (* 4 (/ (pow a 2) (+ 1 (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))))) (+ (* 8 (/ (- 1 (* 3 a)) (+ 1 (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))))) (/ (* (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a)))) (- (pow (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 2) 1)) (pow (+ 1 (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))) 3)))) (+ (* 2 (/ (* (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a)))) (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))) (pow (+ 1 (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))) 2))) (/ (* (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a)))) (- (+ (* 2 (/ (pow a 4) (+ 1 (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))))) (+ (* 8 (/ (* (pow a 2) (+ 1 a)) (+ 1 (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))))) (+ (/ 1 (pow (+ 1 (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))) 2)) (/ (pow (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a)))) 2) (+ 1 (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))))))) (+ (/ (* (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a)))) (- (* 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 a 4))))) (/ (* (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a)))) (- (pow (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 2) 1)) (pow (+ 1 (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))) 2)))) (+ 1 (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)))) (/ (pow (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 2) (pow (+ 1 (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))) 2))))) (+ 1 (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))))))) (+ (/ 1 (pow (+ 1 (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))) 2)) (/ (pow (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a)))) 2) (+ 1 (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)))))))) (+ (/ (* (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a)))) (- (* 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 a 4))))) (/ (* (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a)))) (- (pow (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 2) 1)) (pow (+ 1 (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))) 2)))) (+ 1 (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)))) (/ (pow (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 2) (pow (+ 1 (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))) 2)))))) (/ (* (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a)))) (- (pow (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 2) 1)) (pow (+ 1 (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))) 2)))) (/ (pow (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 2) (+ 1 (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))))) (/ 1 (+ 1 (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)))))
(- (pow (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 2) 1)
(- (+ (* 2 (* (pow b 2) (* (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a)))) (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))))) (pow (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 2)) 1)
(- (+ (* (pow b 2) (+ (* 2 (* (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a)))) (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)))) (* (pow b 2) (+ (* 2 (pow a 4)) (+ (* 8 (* (pow a 2) (+ 1 a))) (pow (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a)))) 2)))))) (pow (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 2)) 1)
(- (+ (* (pow b 2) (+ (* 2 (* (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a)))) (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)))) (* (pow b 2) (+ (* 2 (pow a 4)) (+ (* 8 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 4 (pow a 2)) (* 8 (- 1 (* 3 a))))) (pow (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a)))) 2))))))) (pow (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 2)) 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) (+ 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))))
-1/4
(- (* -1/16 (pow b 2)) 1/4)
(- (* (pow b 2) (- (* -1/64 (pow b 2)) 1/16)) 1/4)
(- (* (pow b 2) (- (* (pow b 2) (- (* -1/256 (pow b 2)) 1/64)) 1/16)) 1/4)
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (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 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))))
(* 4 (* (pow b 2) (- 1 (* 3 a))))
(* (pow b 2) (- (+ (* 4 (- 1 (* 3 a))) (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ (* 4 (- 1 (* 3 a))) (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ (* 4 (- 1 (* 3 a))) (* 4 (/ (* (pow a 2) (+ 1 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)))))) (/ 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)))))) (/ 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 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(pow b 4)
(* (pow b 4) (- (+ 1 (+ (* 4 (/ (pow a 2) (pow b 2))) (* 8 (/ (- 1 (* 3 a)) (pow b 2))))) (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 4) (pow b 4))) (+ (* 4 (/ (pow a 2) (pow b 2))) (+ (* 8 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 8 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a)))) 2) (pow b 4))))))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (+ (/ 1 (pow b 4)) (+ (/ (* (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a)))) (- (+ (* 4 (pow a 2)) (* 8 (- 1 (* 3 a)))) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a)))))) (pow b 4)) (/ (pow a 4) (pow b 4)))))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (* (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a)))) (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))) (pow b 6))) (+ (* 2 (/ (pow a 4) (pow b 4))) (+ (* 4 (/ (pow a 2) (pow b 2))) (+ (* 8 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 8 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a)))) 2) (pow b 4)))))))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (+ (/ 1 (pow b 4)) (+ (/ (* (+ 1 (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))) (- (+ (* 4 (pow a 2)) (* 8 (- 1 (* 3 a)))) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a)))))) (pow b 6)) (+ (/ (* (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a)))) (- (+ (* 2 (pow a 4)) (+ (* 8 (* (pow a 2) (+ 1 a))) (pow (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a)))) 2))) (+ 1 (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a)))) (- (+ (* 4 (pow a 2)) (* 8 (- 1 (* 3 a)))) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a)))))) (pow a 4)))))) (pow b 6)) (+ (/ (* (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a)))) (- (+ (* 4 (pow a 2)) (* 8 (- 1 (* 3 a)))) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a)))))) (pow b 4)) (/ (pow a 4) (pow b 4)))))))))))
(pow b 8)
(* (pow b 8) (+ 1 (+ (* 4 (/ (pow a 2) (pow b 2))) (* 8 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 8) (+ 1 (+ (* 2 (/ (pow a 4) (pow b 4))) (+ (* 4 (/ (pow a 2) (pow b 2))) (+ (* 8 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 8 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a)))) 2) (pow b 4))))))))
(* (pow b 8) (+ 1 (+ (* 2 (/ (* (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a)))) (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))) (pow b 6))) (+ (* 2 (/ (pow a 4) (pow b 4))) (+ (* 4 (/ (pow a 2) (pow b 2))) (+ (* 8 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 8 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a)))) 2) (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) (- 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)))
(/ 1 (pow b 2))
(/ (+ 1 (* 4 (/ 1 (pow b 2)))) (pow b 2))
(/ (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ 16 (pow b 4)))) (pow b 2))
(/ (+ 1 (+ (* 4 (/ 1 (pow b 2))) (+ (* 64 (/ 1 (pow b 6))) (/ 16 (pow b 4))))) (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (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 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))))
(* 4 (* (pow b 2) (- 1 (* 3 a))))
(* (pow b 2) (- (+ (* 4 (- 1 (* 3 a))) (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ (* 4 (- 1 (* 3 a))) (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ (* 4 (- 1 (* 3 a))) (* 4 (/ (* (pow a 2) (+ 1 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)))))) (/ 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)))))) (/ 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 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(pow b 4)
(* (pow b 4) (- (+ 1 (+ (* 4 (/ (pow a 2) (pow b 2))) (* 8 (/ (- 1 (* 3 a)) (pow b 2))))) (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 4) (pow b 4))) (+ (* 4 (/ (pow a 2) (pow b 2))) (+ (* 8 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 8 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a)))) 2) (pow b 4))))))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (+ (/ 1 (pow b 4)) (+ (/ (* (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a)))) (- (+ (* 4 (pow a 2)) (* 8 (- 1 (* 3 a)))) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a)))))) (pow b 4)) (/ (pow a 4) (pow b 4)))))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (* (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a)))) (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))) (pow b 6))) (+ (* 2 (/ (pow a 4) (pow b 4))) (+ (* 4 (/ (pow a 2) (pow b 2))) (+ (* 8 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 8 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a)))) 2) (pow b 4)))))))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (+ (/ 1 (pow b 4)) (+ (/ (* (+ 1 (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))) (- (+ (* 4 (pow a 2)) (* 8 (- 1 (* 3 a)))) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a)))))) (pow b 6)) (+ (/ (* (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a)))) (- (+ (* 2 (pow a 4)) (+ (* 8 (* (pow a 2) (+ 1 a))) (pow (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a)))) 2))) (+ 1 (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a)))) (- (+ (* 4 (pow a 2)) (* 8 (- 1 (* 3 a)))) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a)))))) (pow a 4)))))) (pow b 6)) (+ (/ (* (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a)))) (- (+ (* 4 (pow a 2)) (* 8 (- 1 (* 3 a)))) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a)))))) (pow b 4)) (/ (pow a 4) (pow b 4)))))))))))
(pow b 8)
(* (pow b 8) (+ 1 (+ (* 4 (/ (pow a 2) (pow b 2))) (* 8 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 8) (+ 1 (+ (* 2 (/ (pow a 4) (pow b 4))) (+ (* 4 (/ (pow a 2) (pow b 2))) (+ (* 8 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 8 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a)))) 2) (pow b 4))))))))
(* (pow b 8) (+ 1 (+ (* 2 (/ (* (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a)))) (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))) (pow b 6))) (+ (* 2 (/ (pow a 4) (pow b 4))) (+ (* 4 (/ (pow a 2) (pow b 2))) (+ (* 8 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 8 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a)))) 2) (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) (- 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)))
(/ 1 (pow b 2))
(/ (+ 1 (* 4 (/ 1 (pow b 2)))) (pow b 2))
(/ (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ 16 (pow b 4)))) (pow b 2))
(/ (+ 1 (+ (* 4 (/ 1 (pow b 2))) (+ (* 64 (/ 1 (pow b 6))) (/ 16 (pow b 4))))) (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (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)
(pow b 2)
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(- (* 4 (pow b 2)) 1)
(- (+ (* -12 (* a (pow b 2))) (* 4 (pow b 2))) 1)
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* 4 a)))) 1)
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 4 a)))))) 1)
(- (+ (* 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)
-1
(- (* 4 (pow a 2)) 1)
(- (* (pow a 2) (+ 4 (* 4 a))) 1)
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)
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)
-1
(- (* 4 (pow a 2)) 1)
(- (* (pow a 2) (+ 4 (* 4 a))) 1)
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)
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)
(/ (- (pow (+ (* 4 (pow b 2)) (pow b 4)) 2) 1) (+ 1 (+ (* 4 (pow b 2)) (pow b 4))))
(- (+ (* a (- (* -24 (/ (* (pow b 2) (+ (* 4 (pow b 2)) (pow b 4))) (+ 1 (+ (* 4 (pow b 2)) (pow b 4))))) (* -12 (/ (* (pow b 2) (- (pow (+ (* 4 (pow b 2)) (pow b 4)) 2) 1)) (pow (+ 1 (+ (* 4 (pow b 2)) (pow b 4))) 2))))) (/ (pow (+ (* 4 (pow b 2)) (pow b 4)) 2) (+ 1 (+ (* 4 (pow b 2)) (pow b 4))))) (/ 1 (+ 1 (+ (* 4 (pow b 2)) (pow b 4)))))
(- (+ (* a (- (+ (* -24 (/ (* (pow b 2) (+ (* 4 (pow b 2)) (pow b 4))) (+ 1 (+ (* 4 (pow b 2)) (pow b 4))))) (* a (- (+ (* 2 (/ (* (+ 4 (* 2 (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) (+ 1 (+ (* 4 (pow b 2)) (pow b 4))))) (* 144 (/ (pow b 4) (+ 1 (+ (* 4 (pow b 2)) (pow b 4)))))) (+ (* -12 (/ (* (pow b 2) (- (* -24 (/ (* (pow b 2) (+ (* 4 (pow b 2)) (pow b 4))) (+ 1 (+ (* 4 (pow b 2)) (pow b 4))))) (* -12 (/ (* (pow b 2) (- (pow (+ (* 4 (pow b 2)) (pow b 4)) 2) 1)) (pow (+ 1 (+ (* 4 (pow b 2)) (pow b 4))) 2))))) (+ 1 (+ (* 4 (pow b 2)) (pow b 4))))) (/ (* (+ 4 (* 2 (pow b 2))) (- (pow (+ (* 4 (pow b 2)) (pow b 4)) 2) 1)) (pow (+ 1 (+ (* 4 (pow b 2)) (pow b 4))) 2)))))) (* -12 (/ (* (pow b 2) (- (pow (+ (* 4 (pow b 2)) (pow b 4)) 2) 1)) (pow (+ 1 (+ (* 4 (pow b 2)) (pow b 4))) 2))))) (/ (pow (+ (* 4 (pow b 2)) (pow b 4)) 2) (+ 1 (+ (* 4 (pow b 2)) (pow b 4))))) (/ 1 (+ 1 (+ (* 4 (pow b 2)) (pow b 4)))))
(- (+ (* a (- (+ (* -24 (/ (* (pow b 2) (+ (* 4 (pow b 2)) (pow b 4))) (+ 1 (+ (* 4 (pow b 2)) (pow b 4))))) (* a (- (+ (* 2 (/ (* (+ 4 (* 2 (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) (+ 1 (+ (* 4 (pow b 2)) (pow b 4))))) (+ (* 144 (/ (pow b 4) (+ 1 (+ (* 4 (pow b 2)) (pow b 4))))) (* a (- (+ (* -24 (/ (* (pow b 2) (+ 4 (* 2 (pow b 2)))) (+ 1 (+ (* 4 (pow b 2)) (pow b 4))))) (* 8 (/ (+ (* 4 (pow b 2)) (pow b 4)) (+ 1 (+ (* 4 (pow b 2)) (pow b 4)))))) (+ (* -12 (/ (* (pow b 2) (- (+ (* 2 (/ (* (+ 4 (* 2 (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) (+ 1 (+ (* 4 (pow b 2)) (pow b 4))))) (* 144 (/ (pow b 4) (+ 1 (+ (* 4 (pow b 2)) (pow b 4)))))) (+ (* -12 (/ (* (pow b 2) (- (* -24 (/ (* (pow b 2) (+ (* 4 (pow b 2)) (pow b 4))) (+ 1 (+ (* 4 (pow b 2)) (pow b 4))))) (* -12 (/ (* (pow b 2) (- (pow (+ (* 4 (pow b 2)) (pow b 4)) 2) 1)) (pow (+ 1 (+ (* 4 (pow b 2)) (pow b 4))) 2))))) (+ 1 (+ (* 4 (pow b 2)) (pow b 4))))) (/ (* (+ 4 (* 2 (pow b 2))) (- (pow (+ (* 4 (pow b 2)) (pow b 4)) 2) 1)) (pow (+ 1 (+ (* 4 (pow b 2)) (pow b 4))) 2))))) (+ 1 (+ (* 4 (pow b 2)) (pow b 4))))) (+ (* 4 (/ (- (pow (+ (* 4 (pow b 2)) (pow b 4)) 2) 1) (pow (+ 1 (+ (* 4 (pow b 2)) (pow b 4))) 2))) (/ (* (+ 4 (* 2 (pow b 2))) (- (* -24 (/ (* (pow b 2) (+ (* 4 (pow b 2)) (pow b 4))) (+ 1 (+ (* 4 (pow b 2)) (pow b 4))))) (* -12 (/ (* (pow b 2) (- (pow (+ (* 4 (pow b 2)) (pow b 4)) 2) 1)) (pow (+ 1 (+ (* 4 (pow b 2)) (pow b 4))) 2))))) (+ 1 (+ (* 4 (pow b 2)) (pow b 4)))))))))) (+ (* -12 (/ (* (pow b 2) (- (* -24 (/ (* (pow b 2) (+ (* 4 (pow b 2)) (pow b 4))) (+ 1 (+ (* 4 (pow b 2)) (pow b 4))))) (* -12 (/ (* (pow b 2) (- (pow (+ (* 4 (pow b 2)) (pow b 4)) 2) 1)) (pow (+ 1 (+ (* 4 (pow b 2)) (pow b 4))) 2))))) (+ 1 (+ (* 4 (pow b 2)) (pow b 4))))) (/ (* (+ 4 (* 2 (pow b 2))) (- (pow (+ (* 4 (pow b 2)) (pow b 4)) 2) 1)) (pow (+ 1 (+ (* 4 (pow b 2)) (pow b 4))) 2)))))) (* -12 (/ (* (pow b 2) (- (pow (+ (* 4 (pow b 2)) (pow b 4)) 2) 1)) (pow (+ 1 (+ (* 4 (pow b 2)) (pow b 4))) 2))))) (/ (pow (+ (* 4 (pow b 2)) (pow b 4)) 2) (+ 1 (+ (* 4 (pow b 2)) (pow b 4))))) (/ 1 (+ 1 (+ (* 4 (pow b 2)) (pow b 4)))))
(- (pow (+ (* 4 (pow b 2)) (pow b 4)) 2) 1)
(- (+ (* -24 (* a (* (pow b 2) (+ (* 4 (pow b 2)) (pow b 4))))) (pow (+ (* 4 (pow b 2)) (pow b 4)) 2)) 1)
(- (+ (* a (+ (* -24 (* (pow b 2) (+ (* 4 (pow b 2)) (pow b 4)))) (* a (+ (* 2 (* (+ 4 (* 2 (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))) (* 144 (pow b 4)))))) (pow (+ (* 4 (pow b 2)) (pow b 4)) 2)) 1)
(- (+ (* a (+ (* -24 (* (pow b 2) (+ (* 4 (pow b 2)) (pow b 4)))) (* a (+ (* 2 (* (+ 4 (* 2 (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))) (+ (* 144 (pow b 4)) (* a (+ (* -24 (* (pow b 2) (+ 4 (* 2 (pow b 2))))) (* 8 (+ (* 4 (pow b 2)) (pow b 4)))))))))) (pow (+ (* 4 (pow b 2)) (pow b 4)) 2)) 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)
(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 3)
(pow a 3)
(pow a 3)
(pow a 3)
(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 2)
(pow a 2)
(pow a 2)
(pow a 2)
(* 4 (pow a 3))
(* (pow a 3) (+ 4 (* 4 (/ 1 a))))
(* (pow a 3) (+ 4 (+ (* -12 (/ (pow b 2) (pow a 2))) (* 4 (/ 1 a)))))
(* (pow a 3) (- (+ 4 (+ (* -12 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (* 4 (/ 1 a))))) (/ 1 (pow a 3))))
(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)))) (/ 1 (pow a 4))))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 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)))) (/ 1 (pow a 4))))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 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 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* -24 (/ (pow b 2) (pow a 3))) (+ (* 4 (/ (pow b 2) (pow a 2))) (+ (* 8 (/ (+ 4 (* 2 (pow b 2))) (pow a 3))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))) (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (+ 4 (* 2 (pow b 2))) (pow a 3))) (* 4 (/ (- (+ 4 (* 4 (pow b 2))) (* 2 (pow b 2))) (pow a 3))))))))
(pow a 8)
(* (pow a 8) (+ 1 (* 8 (/ 1 a))))
(* (pow a 8) (+ 1 (+ (* 4 (/ (pow b 2) (pow a 2))) (+ (* 8 (/ 1 a)) (/ 24 (pow a 2))))))
(* (pow a 8) (+ 1 (+ (* -24 (/ (pow b 2) (pow a 3))) (+ (* 4 (/ (pow b 2) (pow a 2))) (+ (* 8 (/ (+ 4 (* 2 (pow b 2))) (pow a 3))) (+ (* 8 (/ 1 a)) (/ 24 (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)
(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)
(pow a 3)
(pow a 3)
(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 2)
(pow a 2)
(pow a 2)
(pow a 2)
(* 4 (pow a 3))
(* (pow a 3) (+ 4 (* 4 (/ 1 a))))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* -12 (/ (pow b 2) a))) a)) 4)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* -1 (/ (+ (* -1 (/ (- (* 4 (pow b 2)) 1) a)) (* 12 (pow b 2))) a))) 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 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 4 (/ 1 (pow a 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 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 (* -1 (/ (- (* -1 (/ (- 4 (/ 1 (pow a 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 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 (* 4 (pow b 2))) (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- (+ 4 (+ (* -1 (/ (- (+ (* -8 (+ 4 (* 2 (pow b 2)))) (* 24 (pow b 2))) (+ (* -4 (+ 4 (* 2 (pow b 2)))) (+ (* -4 (- (+ 4 (* 4 (pow b 2))) (* 2 (pow b 2)))) (* 12 (pow b 2))))) a)) (* 4 (pow b 2)))) (* 2 (pow b 2))) a)) 4) a))))
(pow a 8)
(* (pow a 8) (+ 1 (* 8 (/ 1 a))))
(* (pow a 8) (+ 1 (* -1 (/ (- (* -1 (/ (+ 24 (* 4 (pow b 2))) a)) 8) a))))
(* (pow a 8) (+ 1 (* -1 (/ (- (* -1 (/ (+ 24 (+ (* -1 (/ (+ (* -8 (+ 4 (* 2 (pow b 2)))) (* 24 (pow b 2))) a)) (* 4 (pow b 2)))) a)) 8) 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)
(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)
(pow a 3)
(pow a 3)
Outputs
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(fma.f64 (*.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)) a) a (-.f64 (pow.f64 a #s(literal 4 binary64)) #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 a #s(literal 4 binary64) #s(literal 4 binary64)) 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 (pow.f64 a #s(literal 4 binary64)) #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 a #s(literal 4 binary64) #s(literal 4 binary64)) 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 (pow.f64 a #s(literal 4 binary64)) #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 a #s(literal 4 binary64) #s(literal 4 binary64)) 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 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))))
(pow a 2)
(*.f64 a a)
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(- (* 4 (* (pow a 2) (+ 1 a))) 1)
(fma.f64 (*.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)) a) a #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (* 4 (* (pow b 2) (- 1 (* 3 a))))) 1)
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (* 4 (* (pow b 2) (- 1 (* 3 a))))) 1)
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (* 4 (* (pow b 2) (- 1 (* 3 a))))) 1)
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(fma.f64 (*.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)) a) a (-.f64 (pow.f64 a #s(literal 4 binary64)) #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 a #s(literal 4 binary64) #s(literal 4 binary64)) 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 (pow.f64 a #s(literal 4 binary64)) #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 a #s(literal 4 binary64) #s(literal 4 binary64)) 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 (pow.f64 a #s(literal 4 binary64)) #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 a #s(literal 4 binary64) #s(literal 4 binary64)) 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 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(fma.f64 (*.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)) a) a (-.f64 (pow.f64 a #s(literal 4 binary64)) #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 a #s(literal 4 binary64) #s(literal 4 binary64)) 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 (pow.f64 a #s(literal 4 binary64)) #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 a #s(literal 4 binary64) #s(literal 4 binary64)) 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 (pow.f64 a #s(literal 4 binary64)) #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 a #s(literal 4 binary64) #s(literal 4 binary64)) 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 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(fma.f64 (*.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)) a) a (-.f64 (pow.f64 a #s(literal 4 binary64)) #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 a #s(literal 4 binary64) #s(literal 4 binary64)) 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 (pow.f64 a #s(literal 4 binary64)) #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 a #s(literal 4 binary64) #s(literal 4 binary64)) 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 (pow.f64 a #s(literal 4 binary64)) #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 a #s(literal 4 binary64) #s(literal 4 binary64)) 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 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))))
-1
#s(literal -1 binary64)
(- (* 4 (pow b 2)) 1)
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
4
#s(literal 4 binary64)
(+ 4 (pow b 2))
(fma.f64 b b #s(literal 4 binary64))
(+ 4 (pow b 2))
(fma.f64 b b #s(literal 4 binary64))
(+ 4 (pow b 2))
(fma.f64 b b #s(literal 4 binary64))
(/ (- (pow (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 2) 1) (+ 1 (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)) a) a (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)) a) a (+.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))))
(- (+ (* (pow b 2) (- (* 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 a 4))))) (/ (* (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a)))) (- (pow (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 2) 1)) (pow (+ 1 (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))) 2)))) (/ (pow (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 2) (+ 1 (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))))) (/ 1 (+ 1 (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)))))
(fma.f64 (fma.f64 (neg.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)))) (/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)) a) a (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (*.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)) a) a (+.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) (*.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))) #s(literal 2 binary64)) (/.f64 (fma.f64 (*.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)) a) a (pow.f64 a #s(literal 4 binary64))) (fma.f64 (*.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)) a) a (+.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))))) (*.f64 b b) (/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)) a) a (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)) a) a (+.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))))
(- (+ (* (pow b 2) (- (+ (* 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 a 4))))) (* (pow b 2) (- (+ (* 2 (/ (pow a 4) (+ 1 (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))))) (+ (* 8 (/ (* (pow a 2) (+ 1 a)) (+ 1 (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))))) (+ (/ 1 (pow (+ 1 (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))) 2)) (/ (pow (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a)))) 2) (+ 1 (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))))))) (+ (/ (* (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a)))) (- (* 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 a 4))))) (/ (* (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a)))) (- (pow (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 2) 1)) (pow (+ 1 (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))) 2)))) (+ 1 (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)))) (/ (pow (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 2) (pow (+ 1 (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))) 2)))))) (/ (* (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a)))) (- (pow (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 2) 1)) (pow (+ 1 (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))) 2)))) (/ (pow (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 2) (+ 1 (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))))) (/ 1 (+ 1 (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)))))
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(* (pow a 4) (- (+ 1 (+ (* 4 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) (* 2 (/ (pow b 2) (pow a 2)))))
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(* (pow a 4) (- (+ 1 (+ (* -24 (/ (pow b 2) (pow a 3))) (+ (* 4 (/ (pow b 2) (pow a 2))) (+ (* 8 (/ (+ 4 (* 2 (pow b 2))) (pow a 3))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))) (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (+ 4 (* 2 (pow b 2))) (pow a 3))) (* 4 (/ (- (+ 4 (* 4 (pow b 2))) (* 2 (pow b 2))) (pow a 3))))))))
(*.f64 (-.f64 (+.f64 (fma.f64 (*.f64 b (/.f64 b (*.f64 (*.f64 a a) a))) #s(literal -24 binary64) (fma.f64 (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 a a) a)) #s(literal 8 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 4 binary64) (*.f64 a a))))) #s(literal 1 binary64)) (fma.f64 (+.f64 (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 a a) a)) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 a a) a))) #s(literal 4 binary64) (fma.f64 (*.f64 b b) (/.f64 #s(literal -12 binary64) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)))))) (pow.f64 a #s(literal 4 binary64)))
(pow a 8)
(pow.f64 a #s(literal 8 binary64))
(* (pow a 8) (+ 1 (* 8 (/ 1 a))))
(*.f64 (+.f64 (/.f64 #s(literal 8 binary64) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 8 binary64)))
(* (pow a 8) (+ 1 (+ (* 4 (/ (pow b 2) (pow a 2))) (+ (* 8 (/ 1 a)) (/ 24 (pow a 2))))))
(*.f64 (+.f64 (fma.f64 (*.f64 b b) (/.f64 #s(literal 4 binary64) (*.f64 a a)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 24 binary64) (*.f64 a a)) (/.f64 #s(literal 8 binary64) a))) (pow.f64 a #s(literal 8 binary64)))
(* (pow a 8) (+ 1 (+ (* -24 (/ (pow b 2) (pow a 3))) (+ (* 4 (/ (pow b 2) (pow a 2))) (+ (* 8 (/ (+ 4 (* 2 (pow b 2))) (pow a 3))) (+ (* 8 (/ 1 a)) (/ 24 (pow a 2))))))))
(*.f64 (+.f64 (fma.f64 (*.f64 b (/.f64 b (*.f64 (*.f64 a a) a))) #s(literal -24 binary64) (fma.f64 (*.f64 b b) (/.f64 #s(literal 4 binary64) (*.f64 a a)) (fma.f64 (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 a a) a)) #s(literal 8 binary64) (+.f64 (/.f64 #s(literal 24 binary64) (*.f64 a a)) (/.f64 #s(literal 8 binary64) a))))) #s(literal 1 binary64)) (pow.f64 a #s(literal 8 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 b (/.f64 b (*.f64 a a))) #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 a a))) (/.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 b (/.f64 b (*.f64 (*.f64 a a) a))) #s(literal -12 binary64) (fma.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 a a))) (/.f64 #s(literal 4 binary64) a)))) (pow.f64 a #s(literal 4 binary64)))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(pow a 3)
(*.f64 (*.f64 a a) a)
(* (pow a 3) (+ 1 (/ 1 a)))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) a) (*.f64 a a))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a))))
(*.f64 (fma.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal -3 binary64) (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64))) (*.f64 (*.f64 a a) a))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3))))))
(*.f64 (+.f64 (fma.f64 (*.f64 b b) (/.f64 #s(literal -3 binary64) (*.f64 a a)) #s(literal 1 binary64)) (fma.f64 b (/.f64 b (*.f64 (*.f64 a a) a)) (/.f64 #s(literal 1 binary64) a))) (*.f64 (*.f64 a a) a))
(pow a 3)
(*.f64 (*.f64 a a) a)
(pow a 3)
(*.f64 (*.f64 a a) a)
(pow a 3)
(*.f64 (*.f64 a a) a)
(pow a 3)
(*.f64 (*.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 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 b b) #s(literal -4 binary64)) a) #s(literal 4 binary64)) 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 (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -12 binary64) (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) (neg.f64 a)) #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))))
(*.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a a))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(*.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a a))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(*.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a a))
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(* 4 (pow a 3))
(*.f64 (*.f64 (*.f64 a a) a) #s(literal 4 binary64))
(* (pow a 3) (+ 4 (* 4 (/ 1 a))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) (*.f64 a a))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* -12 (/ (pow b 2) a))) a)) 4)))
(*.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -12 binary64) #s(literal 4 binary64)) (neg.f64 a)) #s(literal 4 binary64))) (*.f64 (*.f64 a a) a))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* -1 (/ (+ (* -1 (/ (- (* 4 (pow b 2)) 1) a)) (* 12 (pow b 2))) a))) a)) 4)))
(*.f64 (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 12 binary64) b) b (/.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) (neg.f64 a))) a)) (neg.f64 a)) #s(literal 4 binary64))) (*.f64 (*.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 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 b b) #s(literal -4 binary64)) a) #s(literal 4 binary64)) 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 (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -12 binary64) (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) (neg.f64 a)) #s(literal 4 binary64)) a)) (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 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 a a))) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a a))) (neg.f64 a)) #s(literal 4 binary64)) a)) (pow.f64 a #s(literal 4 binary64)))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) a) a)
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 a a))) (/.f64 #s(literal 4 binary64) a)) (*.f64 a a))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 a a))) (/.f64 #s(literal 4 binary64) a)) (*.f64 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 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 b b) #s(literal -4 binary64)) a) #s(literal 4 binary64)) 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 (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -12 binary64) (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) (neg.f64 a)) #s(literal 4 binary64)) a)) (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 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 a a))) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a a))) (neg.f64 a)) #s(literal 4 binary64)) a)) (pow.f64 a #s(literal 4 binary64)))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) a) a)
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 a a))) (/.f64 #s(literal 4 binary64) a)) (*.f64 a a))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 a a))) (/.f64 #s(literal 4 binary64) a)) (*.f64 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 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 b b) #s(literal -4 binary64)) a) #s(literal 4 binary64)) 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 (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -12 binary64) (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) (neg.f64 a)) #s(literal 4 binary64)) a)) (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 (* -1 (/ (- (* -1 (/ (- (+ 4 (* 4 (pow b 2))) (* 2 (pow b 2))) a)) 4) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 b b) #s(literal -4 binary64)) a) #s(literal 4 binary64)) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- (+ 4 (+ (* -1 (/ (- (+ (* -8 (+ 4 (* 2 (pow b 2)))) (* 24 (pow b 2))) (+ (* -4 (+ 4 (* 2 (pow b 2)))) (+ (* -4 (- (+ 4 (* 4 (pow b 2))) (* 2 (pow b 2)))) (* 12 (pow b 2))))) a)) (* 4 (pow b 2)))) (* 2 (pow b 2))) a)) 4) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (-.f64 #s(literal 4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 24 binary64) (*.f64 b b) (fma.f64 #s(literal -16 binary64) (*.f64 b b) #s(literal -32 binary64))) (+.f64 #s(literal -16 binary64) (fma.f64 #s(literal -8 binary64) (*.f64 b b) (fma.f64 #s(literal 12 binary64) (*.f64 b b) (fma.f64 #s(literal -8 binary64) (*.f64 b b) #s(literal -16 binary64)))))) a)) (*.f64 (*.f64 b b) #s(literal 2 binary64))) (neg.f64 a)) #s(literal 4 binary64)) a)) (pow.f64 a #s(literal 4 binary64)))
(pow a 8)
(pow.f64 a #s(literal 8 binary64))
(* (pow a 8) (+ 1 (* 8 (/ 1 a))))
(*.f64 (+.f64 (/.f64 #s(literal 8 binary64) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 8 binary64)))
(* (pow a 8) (+ 1 (* -1 (/ (- (* -1 (/ (+ 24 (* 4 (pow b 2))) a)) 8) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal 24 binary64)) (neg.f64 a)) #s(literal 8 binary64)) a)) (pow.f64 a #s(literal 8 binary64)))
(* (pow a 8) (+ 1 (* -1 (/ (- (* -1 (/ (+ 24 (+ (* -1 (/ (+ (* -8 (+ 4 (* 2 (pow b 2)))) (* 24 (pow b 2))) a)) (* 4 (pow b 2)))) a)) 8) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b (-.f64 #s(literal 24 binary64) (/.f64 (fma.f64 #s(literal 24 binary64) (*.f64 b b) (fma.f64 #s(literal -16 binary64) (*.f64 b b) #s(literal -32 binary64))) a))) (neg.f64 a)) #s(literal 8 binary64)) a)) (pow.f64 a #s(literal 8 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 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 b b) #s(literal -4 binary64)) a) #s(literal 4 binary64)) 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 (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -12 binary64) (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) (neg.f64 a)) #s(literal 4 binary64)) a)) (pow.f64 a #s(literal 4 binary64)))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(pow a 3)
(*.f64 (*.f64 a a) a)
(* (pow a 3) (+ 1 (/ 1 a)))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) a) (*.f64 a a))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1)))
(*.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -3 binary64) #s(literal 1 binary64)) (neg.f64 a)) #s(literal 1 binary64))) (*.f64 (*.f64 a a) a))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1)))
(*.f64 (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) b) b (/.f64 (*.f64 b b) (neg.f64 a))) a)) (neg.f64 a)) #s(literal 1 binary64))) (*.f64 (*.f64 a a) a))
(pow a 3)
(*.f64 (*.f64 a a) a)
(pow a 3)
(*.f64 (*.f64 a a) a)
(pow a 3)
(*.f64 (*.f64 a a) a)
(pow a 3)
(*.f64 (*.f64 a a) a)

rewrite297.0ms (3.1%)

Memory
10.7MiB live, 200.4MiB allocated
Rules
3 920×lower-fma.f32
3 902×lower-fma.f64
3 748×lower-/.f32
3 744×lower-/.f64
3 510×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053622
082518
1417449
23361449
08440396
Stop Event
iter limit
node limit
iter limit
Counts
22 → 417
Calls
Call 1
Inputs
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) (fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal 4 binary64) #s(literal -1 binary64)))
(fma.f64 b b (*.f64 a a))
(*.f64 a a)
(fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.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 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))
#s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))
#s(approx (+ (* a a) (+ (* 4 a) 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)))))) 1) (fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) #s(approx (/ 1 (+ (* b b) -4)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) #s(approx (/ 1 (+ (* b b) -4)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64))
(*.f64 b b)
(*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) #s(approx (/ 1 (+ (* b b) -4)) (/.f64 #s(literal 1 binary64) (*.f64 b b))))
(*.f64 (fma.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(literal -1 binary64)) (/.f64 #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 (*.f64 a a) a) a)) #s(literal 1 binary64))))
(fma.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) 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 (*.f64 a a) a) a))
(*.f64 (*.f64 (*.f64 a a) a) a)
#s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b))
#s(approx (/ 1 (+ (* b b) -4)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(*.f64 (*.f64 a a) a)
Outputs
(*.f64 (*.f64 (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal -1 binary64))) (-.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))) (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))) (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal -1 binary64)))))
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))) (fma.f64 b b (*.f64 a a))) (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))) (fma.f64 b b (*.f64 a a))) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal -1 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal -1 binary64)) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))))))
(pow.f64 (/.f64 (-.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))) (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal -1 binary64))) (*.f64 (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal -1 binary64))) (-.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))) (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal -1 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal -1 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal -1 binary64)) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))))) (fma.f64 (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))) (fma.f64 b b (*.f64 a a))) (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))) (fma.f64 b b (*.f64 a a))) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal -1 binary64))))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))))) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal -1 binary64))) (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))))) (neg.f64 (-.f64 (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal -1 binary64)) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))))) (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) #s(literal -1 binary64))) (neg.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal -1 binary64))) (-.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))) (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal -1 binary64)))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))) (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))) (fma.f64 b b (*.f64 a a))) (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))) (fma.f64 b b (*.f64 a a))) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal -1 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal -1 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal -1 binary64)) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))))))))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))))) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal -1 binary64))) (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))))) (-.f64 (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal -1 binary64)) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))))
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))))) (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal -1 binary64))) (-.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))) (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal -1 binary64))))) (neg.f64 (-.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))) (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))) (fma.f64 b b (*.f64 a a))) (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))) (fma.f64 b b (*.f64 a a))) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal -1 binary64))))) (neg.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))) (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))) (fma.f64 b b (*.f64 a a))) (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))) (fma.f64 b b (*.f64 a a))) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal -1 binary64))))) (neg.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal -1 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal -1 binary64)) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))))))
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(fma.f64 (exp.f64 (log.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)))) (exp.f64 (log.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)))) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a))) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(literal -1 binary64))
(fma.f64 #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 (*.f64 a a) a) a)) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a))) #s(literal -1 binary64))
(expm1.f64 (*.f64 (log.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a))) #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #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 (*.f64 a a) a) a)) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a))))) (/.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a))) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a))) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a))) (-.f64 #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 (*.f64 a a) a) a)) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a))))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a))) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a))) (*.f64 (*.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a))) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)))) (fma.f64 (*.f64 (*.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a))) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a))) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) (+.f64 #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 (*.f64 a a) a) a)) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a))) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a))) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) (+.f64 #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 (*.f64 a a) a) a)) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)))))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a))) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a))) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a))) (fma.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(literal 1 binary64))))
(-.f64 (*.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a))) #s(literal 1 binary64))
(+.f64 (*.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a))) #s(literal -1 binary64))
(+.f64 #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 (*.f64 a a) a) a)) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a))))
(*.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)))
(pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) 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 (*.f64 a a) a) a))
(exp.f64 (*.f64 (log.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 a a) a) a)
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) a))
(*.f64 (*.f64 a a) (*.f64 a a))
(*.f64 a (*.f64 (*.f64 a a) a))
(pow.f64 (*.f64 a a) #s(literal 2 binary64))
(pow.f64 a #s(literal 4 binary64))
(exp.f64 (fma.f64 (log.f64 a) #s(literal 2 binary64) (*.f64 (log.f64 a) #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 a) #s(literal 4 binary64)))
#s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b))
#s(approx (/ 1 (+ (* b b) -4)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 b b)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(pow.f64 (/.f64 b (/.f64 #s(literal 1 binary64) b)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (*.f64 (neg.f64 b) b)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 b b) b) b) #s(literal -1/2 binary64))
(pow.f64 (*.f64 b b) #s(literal -1 binary64))
(pow.f64 b #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) b))) (neg.f64 (neg.f64 b)))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) b)) (neg.f64 b))
(/.f64 (/.f64 #s(literal 1 binary64) b) b)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (/.f64 #s(literal 1 binary64) b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 (neg.f64 b) b))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 b) b))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal 1 binary64) b)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 b) b)))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 b b)))
(exp.f64 (neg.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 b) #s(literal -2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (*.f64 (*.f64 a a) a))
(*.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)))
(*.f64 (*.f64 (*.f64 a a) a) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (*.f64 a a) a) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))
(*.f64 (*.f64 a a) a)
(*.f64 a (*.f64 a a))
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 3 binary64))
(pow.f64 (pow.f64 a #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 3/2 binary64))
(pow.f64 a #s(literal 3 binary64))
(exp.f64 (*.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 a) #s(literal 3 binary64)))

eval199.0ms (2.1%)

Memory
-7.9MiB live, 264.8MiB allocated
Compiler

Compiled 47 883 to 2 226 computations (95.4% saved)

prune202.0ms (2.1%)

Memory
41.4MiB live, 388.2MiB allocated
Pruning

22 alts after pruning (13 fresh and 9 done)

PrunedKeptTotal
New1 27021 272
Fresh11112
Picked055
Done044
Total1 271221 293
Accuracy
100.0%
Counts
1 293 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) (fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal 4 binary64) #s(literal -1 binary64)))
78.1%
(fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* b b) (* a a)) (*.f64 a a)) (fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal 4 binary64) #s(literal -1 binary64)))
30.9%
(/.f64 (fma.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a 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)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(literal -1 binary64)))
78.0%
(-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* b b) (* a a)) (*.f64 b b)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))) #s(literal 1 binary64))
77.7%
(-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* b b) (* a a)) (*.f64 a a)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))) #s(literal 1 binary64))
72.1%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(literal 1 binary64))
30.9%
(*.f64 (fma.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(literal -1 binary64)) (/.f64 #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 (*.f64 a a) a) a)) #s(literal 1 binary64))))
72.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
20.2%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) #s(approx (/ 1 (+ (* b b) -4)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64)))
20.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) #s(approx (/ 1 (+ (* b b) -4)) (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) b)))) #s(literal -1 binary64)))
50.1%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
72.1%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a #s(approx (+ (* 4 a) 4) #s(literal 4 binary64))) #s(literal -1 binary64)))
39.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
72.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (*.f64 (+.f64 a #s(literal 4 binary64)) a)) #s(literal -1 binary64)))
72.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (*.f64 a a)) #s(literal -1 binary64)))
50.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
48.2%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 a #s(literal 4 binary64)))
31.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a)) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)) (fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal 1 binary64))))
43.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 b b) b) b))
48.2%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a))
48.2%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
25.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
Compiler

Compiled 1 255 to 312 computations (75.1% saved)

regimes62.0ms (0.6%)

Memory
-47.4MiB live, 92.9MiB allocated
Counts
38 → 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 (+ (* (* b b) (+ (* b b) 4)) -1) #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 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 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) (*.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)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 b b) b) b))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (*.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 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a #s(approx (+ (* 4 a) 4) #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.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 (*.f64 a a) 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 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (*.f64 (+.f64 a #s(literal 4 binary64)) 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 a (+.f64 a #s(literal 4 binary64)) #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 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* b b) (* a a)) (*.f64 a a)) (fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal 4 binary64) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) (fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.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 (+.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 b b) (*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) #s(approx (/ 1 (+ (* b b) -4)) (/.f64 #s(literal 1 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)))))) 1) (fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64)))) #s(literal -1 binary64)))
(-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* b b) (* a a)) (*.f64 a a)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))) #s(literal 1 binary64))
(-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* b b) (* a a)) (*.f64 b b)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.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)))))) 1) (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 (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) #s(approx (/ 1 (+ (* b b) -4)) (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) b)))) #s(literal -1 binary64)))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (*.f64 a a) a) a)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
(-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))) #s(literal 1 binary64))
(/.f64 (fma.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a 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)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(literal -1 binary64)) (/.f64 #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 (*.f64 a a) 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) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (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) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a)) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)) (fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal 1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (/.f64 (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b) #s(literal 64 binary64)) (fma.f64 (*.f64 (*.f64 b b) b) b (-.f64 #s(literal 16 binary64) (*.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) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a)) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal 1 binary64)))))
(-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 a #s(literal 4 binary64)))
(fma.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) #s(literal -1 binary64)))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b)))))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) #s(literal -1 binary64)))
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) #s(literal 2 binary64)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) #s(literal -1 binary64)))
Outputs
(-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))) #s(literal 1 binary64))
Calls

5 calls:

19.0ms
(*.f64 b b)
10.0ms
a
10.0ms
b
9.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
9.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
99.1%1a
99.1%1b
99.1%1(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
99.1%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
99.1%1(*.f64 b b)
Compiler

Compiled 75 to 44 computations (41.3% saved)

regimes35.0ms (0.4%)

Memory
29.1MiB live, 68.5MiB allocated
Counts
24 → 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 (+ (* (* b b) (+ (* b b) 4)) -1) #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 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 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) (*.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)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 b b) b) b))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (*.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 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a #s(approx (+ (* 4 a) 4) #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.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 (*.f64 a a) 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 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (*.f64 (+.f64 a #s(literal 4 binary64)) 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 a (+.f64 a #s(literal 4 binary64)) #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 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* b b) (* a a)) (*.f64 a a)) (fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal 4 binary64) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) (fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.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 (+.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 b b) (*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) #s(approx (/ 1 (+ (* b b) -4)) (/.f64 #s(literal 1 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)))))) 1) (fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64)))) #s(literal -1 binary64)))
(-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* b b) (* a a)) (*.f64 a a)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))) #s(literal 1 binary64))
(-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* b b) (* a a)) (*.f64 b b)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.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)))))) 1) (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 (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) #s(approx (/ 1 (+ (* b b) -4)) (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) b)))) #s(literal -1 binary64)))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (*.f64 a a) a) a)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
Outputs
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) (fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal 4 binary64) #s(literal -1 binary64)))
Calls

5 calls:

7.0ms
b
7.0ms
a
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))
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))))))
6.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
99.1%1a
99.1%1b
99.1%1(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
99.1%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
99.1%1(*.f64 b b)
Compiler

Compiled 75 to 44 computations (41.3% saved)

regimes25.0ms (0.3%)

Memory
-32.4MiB live, 48.8MiB allocated
Counts
15 → 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 (+ (* (* b b) (+ (* b b) 4)) -1) #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 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 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) (*.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)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 b b) b) b))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (*.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 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a #s(approx (+ (* 4 a) 4) #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.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 (*.f64 a a) 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 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (*.f64 (+.f64 a #s(literal 4 binary64)) 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 a (+.f64 a #s(literal 4 binary64)) #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 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* b b) (* a a)) (*.f64 a a)) (fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal 4 binary64) #s(literal -1 binary64)))
Outputs
(fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* b b) (* a a)) (*.f64 a a)) (fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.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 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* b b) (* a a)) (*.f64 a a)) (fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal 4 binary64) #s(literal -1 binary64)))
Calls

5 calls:

5.0ms
(*.f64 b b)
5.0ms
a
5.0ms
b
5.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
4.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
97.0%3a
94.8%2b
84.2%3(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
84.2%3(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
94.8%2(*.f64 b b)
Compiler

Compiled 75 to 44 computations (41.3% saved)

regimes14.0ms (0.1%)

Memory
25.5MiB live, 25.5MiB allocated
Counts
14 → 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 (+ (* (* b b) (+ (* b b) 4)) -1) #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 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 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) (*.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)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 b b) b) b))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (*.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 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a #s(approx (+ (* 4 a) 4) #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.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 (*.f64 a a) 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 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (*.f64 (+.f64 a #s(literal 4 binary64)) 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 a (+.f64 a #s(literal 4 binary64)) #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 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #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) (*.f64 (*.f64 (*.f64 b b) b) b))
Calls

3 calls:

5.0ms
a
5.0ms
b
4.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
94.8%2b
94.8%2(*.f64 b b)
96.1%3a
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes13.0ms (0.1%)

Memory
-24.3MiB live, 15.3MiB allocated
Counts
12 → 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 (+ (* (* b b) (+ (* b b) 4)) -1) #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 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 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) (*.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)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 b b) b) b))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (*.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 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a #s(approx (+ (* 4 a) 4) #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.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 (*.f64 a a) 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 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (*.f64 (+.f64 a #s(literal 4 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 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (*.f64 (+.f64 a #s(literal 4 binary64)) 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)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a))
Calls

3 calls:

4.0ms
a
4.0ms
b
4.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
95.9%3a
94.3%2b
94.3%2(*.f64 b b)
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes12.0ms (0.1%)

Memory
21.1MiB live, 21.1MiB allocated
Counts
11 → 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 (+ (* (* b b) (+ (* b b) 4)) -1) #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 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 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) (*.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)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 b b) b) b))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (*.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 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a #s(approx (+ (* 4 a) 4) #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.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 (*.f64 a a) a) 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) (*.f64 (*.f64 (*.f64 a a) a) a))
#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) (*.f64 (*.f64 (*.f64 a a) a) a))
Calls

3 calls:

4.0ms
a
4.0ms
b
3.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
94.1%2b
94.1%2(*.f64 b b)
95.8%3a
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes11.0ms (0.1%)

Memory
-17.3MiB live, 22.3MiB 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 (+ (* (* b b) (+ (* b b) 4)) -1) #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 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 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) (*.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)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 b b) b) b))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (*.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 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a #s(approx (+ (* 4 a) 4) #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 a a) (fma.f64 a a #s(approx (+ (* 4 a) 4) #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 b b) b) b))
Calls

3 calls:

4.0ms
b
3.0ms
a
3.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
94.1%2b
94.1%2(*.f64 b b)
85.1%3a
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes7.0ms (0.1%)

Memory
14.8MiB live, 14.8MiB allocated
Counts
8 → 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 (+ (* (* b b) (+ (* b b) 4)) -1) #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 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 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) (*.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)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 b b) b) b))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (*.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 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (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 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (*.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) (*.f64 (*.f64 (*.f64 b b) b) b))
Calls

2 calls:

3.0ms
b
3.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
94.0%2b
94.0%2(*.f64 b b)
Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes8.0ms (0.1%)

Memory
12.1MiB live, 12.1MiB allocated
Counts
6 → 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 (+ (* (* b b) (+ (* b b) 4)) -1) #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 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 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) (*.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)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 b b) b) b))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 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) (*.f64 (*.f64 (*.f64 a a) a) a))
Calls

3 calls:

3.0ms
a
3.0ms
b
2.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
85.1%3a
84.0%3b
84.0%3(*.f64 b b)
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes3.0ms (0%)

Memory
5.6MiB live, 5.6MiB allocated
Counts
4 → 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 (+ (* (* b b) (+ (* b b) 4)) -1) #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 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 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) (*.f64 (*.f64 a a) (*.f64 a a)))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 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) (*.f64 (*.f64 a a) (*.f64 a a)))
Calls

1 calls:

2.0ms
a
Results
AccuracySegmentsBranch
85.1%3a
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory
-21.6MiB live, 18.6MiB 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 (+ (* (* b b) (+ (* b b) 4)) -1) #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 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #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 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
Calls

5 calls:

2.0ms
b
2.0ms
a
2.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 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
68.8%2b
68.8%2(*.f64 b b)
59.3%2(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
59.3%2(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
68.6%3a
Compiler

Compiled 75 to 44 computations (41.3% saved)

regimes8.0ms (0.1%)

Memory
15.5MiB live, 15.5MiB allocated
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 (+ (* (* b b) (+ (* b b) 4)) -1) #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 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #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 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
Calls

5 calls:

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

Compiled 75 to 44 computations (41.3% saved)

regimes7.0ms (0.1%)

Memory
-28.4MiB live, 11.2MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

5 calls:

2.0ms
a
1.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
1.0ms
b
1.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
1.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
25.4%1a
25.4%1b
25.4%1(*.f64 b b)
25.4%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))
25.4%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))))))
Compiler

Compiled 75 to 44 computations (41.3% saved)

bsearch47.0ms (0.5%)

Memory
29.5MiB live, 68.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
21.0ms
2638198496321.361
2.476121517617889e+23
20.0ms
-1.2305906910190395e-5
-2.8859597753222963e-16
Samples
30.0ms320×0valid
Compiler

Compiled 716 to 383 computations (46.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 11.0ms (48.8% of total)
ival-add: 5.0ms (22.2% of total)
ival-sub: 3.0ms (13.3% of total)
ival-pow2: 3.0ms (13.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.1848571379948737e+125
6.854851785052003e+133
Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch32.0ms (0.3%)

Memory
5.3MiB live, 44.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
2638198496321.361
2.476121517617889e+23
18.0ms
-33706549.79339147
-17339.185859878093
Samples
20.0ms208×0valid
Compiler

Compiled 500 to 299 computations (40.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 8.0ms (50.8% of total)
ival-add: 3.0ms (19.1% of total)
ival-sub: 2.0ms (12.7% of total)
ival-pow2: 2.0ms (12.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch14.0ms (0.1%)

Memory
-23.1MiB live, 19.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2638198496321.361
2.476121517617889e+23
12.0ms
-33706549.79339147
-17339.185859878093
Samples
9.0ms80×0valid
Compiler

Compiled 468 to 275 computations (41.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 3.0ms (42.8% of total)
ival-pow2: 2.0ms (28.6% of total)
ival-sub: 1.0ms (14.3% of total)
ival-add: 1.0ms (14.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.1848571379948737e+125
6.854851785052003e+133
Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.1848571379948737e+125
6.854851785052003e+133
Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch27.0ms (0.3%)

Memory
2.5MiB live, 42.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
51146.33168026853
1530714.3969647195
8.0ms
-33706549.79339147
-17339.185859878093
Samples
16.0ms176×0valid
Compiler

Compiled 366 to 218 computations (40.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 6.0ms (50% of total)
ival-add: 3.0ms (25% of total)
ival-pow2: 2.0ms (16.7% of total)
ival-sub: 1.0ms (8.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
51146.33168026853
1530714.3969647195
1.0ms
-33706549.79339147
-17339.185859878093
Compiler

Compiled 366 to 203 computations (44.5% saved)

bsearch23.0ms (0.2%)

Memory
-1.5MiB live, 37.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
4.406931768753728e+272
2.5425179897577833e+283
Samples
15.0ms160×0valid
Compiler

Compiled 234 to 153 computations (34.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-add: 4.0ms (35.4% of total)
ival-mult: 4.0ms (35.4% of total)
ival-pow2: 2.0ms (17.7% of total)
ival-sub: 1.0ms (8.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify10.0ms (0.1%)

Memory
14.4MiB live, 14.4MiB allocated
Algorithm
egg-herbie
Rules
16×*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
1-exp_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01061204
11201204
21231204
31281204
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))) #s(literal 1 binary64))
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) (fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal 4 binary64) #s(literal -1 binary64)))
(if (<=.f64 a #s(literal -7201608886376209/590295810358705651712 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* b b) (* a a)) (*.f64 a a)) (fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal 4 binary64) #s(literal -1 binary64))) (if (<=.f64 a #s(literal 2700000000000 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))) (fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* b b) (* a a)) (*.f64 a a)) (fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal 4 binary64) #s(literal -1 binary64)))))
(if (<=.f64 (*.f64 b b) #s(literal 399999999999999969947104647597152817017868347933935384575690388890117679990317210641265397505127061500612023365462212913135616 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 a (+.f64 a #s(literal 4 binary64)) #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) (*.f64 (*.f64 (*.f64 b b) b) b)))
(if (<=.f64 a #s(literal -13200000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (*.f64 (+.f64 a #s(literal 4 binary64)) a)) #s(literal -1 binary64))) (if (<=.f64 a #s(literal 7800000000000 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) (*.f64 (*.f64 (*.f64 a a) a) a))))
(if (<=.f64 a #s(literal -30500000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a)) (if (<=.f64 a #s(literal 7800000000000 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) (*.f64 (*.f64 (*.f64 a a) a) a))))
(if (<=.f64 (*.f64 b b) #s(literal 399999999999999969947104647597152817017868347933935384575690388890117679990317210641265397505127061500612023365462212913135616 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a #s(approx (+ (* 4 a) 4) #s(literal 4 binary64))) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 b b) b) b)))
(if (<=.f64 (*.f64 b b) #s(literal 399999999999999969947104647597152817017868347933935384575690388890117679990317210641265397505127061500612023365462212913135616 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (*.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) (*.f64 (*.f64 (*.f64 b b) b) b)))
(if (<=.f64 a #s(literal -7500000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a)) (if (<=.f64 a #s(literal 260000 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) #s(approx (+ (* b b) 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) (*.f64 (*.f64 (*.f64 a a) a) a))))
(if (<=.f64 a #s(literal -7500000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) (if (<=.f64 a #s(literal 260000 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) #s(approx (+ (* b b) 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) (*.f64 (*.f64 a a) (*.f64 a a)))))
(if (<=.f64 (*.f64 b b) #s(literal 104999999999999995381001014729065751397473723349510753098246247003956411568745712946476344673859166700563314546244308439198611319158986712594329400372623449542641287645564629182535395272628168435752111215732388740367575498941259682132985854928652194937460442124763863101523099648 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 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 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
Outputs
(-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))) #s(literal 1 binary64))
(-.f64 (+.f64 (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal 4 binary64)) (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))))) #s(literal 1 binary64))
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) (fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal 4 binary64) #s(literal -1 binary64)))
(if (<=.f64 a #s(literal -7201608886376209/590295810358705651712 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* b b) (* a a)) (*.f64 a a)) (fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal 4 binary64) #s(literal -1 binary64))) (if (<=.f64 a #s(literal 2700000000000 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))) (fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* b b) (* a a)) (*.f64 a a)) (fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal 4 binary64) #s(literal -1 binary64)))))
(if (<=.f64 (*.f64 b b) #s(literal 399999999999999969947104647597152817017868347933935384575690388890117679990317210641265397505127061500612023365462212913135616 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 a (+.f64 a #s(literal 4 binary64)) #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) (*.f64 (*.f64 (*.f64 b b) b) b)))
(if (<=.f64 (*.f64 b b) #s(literal 399999999999999969947104647597152817017868347933935384575690388890117679990317210641265397505127061500612023365462212913135616 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 a (+.f64 #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) (*.f64 (*.f64 (*.f64 b b) b) b)))
(if (<=.f64 a #s(literal -13200000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (*.f64 (+.f64 a #s(literal 4 binary64)) a)) #s(literal -1 binary64))) (if (<=.f64 a #s(literal 7800000000000 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) (*.f64 (*.f64 (*.f64 a a) a) a))))
(if (<=.f64 a #s(literal -13200000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) #s(literal -1 binary64))) (if (<=.f64 a #s(literal 7800000000000 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) (*.f64 (*.f64 (*.f64 a a) a) a))))
(if (<=.f64 a #s(literal -30500000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a)) (if (<=.f64 a #s(literal 7800000000000 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) (*.f64 (*.f64 (*.f64 a a) a) a))))
(if (<=.f64 (*.f64 b b) #s(literal 399999999999999969947104647597152817017868347933935384575690388890117679990317210641265397505127061500612023365462212913135616 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a #s(approx (+ (* 4 a) 4) #s(literal 4 binary64))) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 b b) b) b)))
(if (<=.f64 (*.f64 b b) #s(literal 399999999999999969947104647597152817017868347933935384575690388890117679990317210641265397505127061500612023365462212913135616 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (*.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) (*.f64 (*.f64 (*.f64 b b) b) b)))
(if (<=.f64 a #s(literal -7500000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a)) (if (<=.f64 a #s(literal 260000 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) #s(approx (+ (* b b) 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) (*.f64 (*.f64 (*.f64 a a) a) a))))
(if (<=.f64 a #s(literal -7500000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) (if (<=.f64 a #s(literal 260000 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) #s(approx (+ (* b b) 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) (*.f64 (*.f64 a a) (*.f64 a a)))))
(if (<=.f64 (*.f64 b b) #s(literal 104999999999999995381001014729065751397473723349510753098246247003956411568745712946476344673859166700563314546244308439198611319158986712594329400372623449542641287645564629182535395272628168435752111215732388740367575498941259682132985854928652194937460442124763863101523099648 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 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 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))

soundness1.4s (14.2%)

Memory
-21.2MiB live, 681.7MiB allocated
Rules
23 432×lower-fma.f64
23 432×lower-fma.f32
22 048×lower-fma.f64
22 048×lower-fma.f32
15 620×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049434
072405
1336349
22980349
08437303
051409
082391
1363366
23448366
08484333
019102
032102
1145102
21259102
0825882
05929972
118979728
268189708
080648709
01852278
16002240
218342184
358252098
081791858
03516730
111006421
231826018
082085481
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 1 017 to 394 computations (61.3% saved)

preprocess167.0ms (1.7%)

Memory
5.6MiB live, 163.6MiB allocated
Remove

(abs b)

Compiler

Compiled 858 to 214 computations (75.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...