Bouland and Aaronson, Equation (24)

Time bar (total: 8.2s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 31 to 19 computations (38.7% saved)

sample1.2s (14.4%)

Memory
-28.7MiB live, 1 311.2MiB allocated
Samples
808.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 620.0ms
ival-mult: 273.0ms (44.1% of total)
ival-add: 157.0ms (25.3% of total)
ival-sub: 88.0ms (14.2% of total)
ival-pow2: 82.0ms (13.2% of total)
exact: 10.0ms (1.6% of total)
ival-true: 6.0ms (1% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain272.0ms (3.3%)

Memory
15.1MiB live, 286.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
610-0-(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
370-0-(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
180-2(-6.583594529715322e+49 1.09346182422399e-159)(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
00-0-(*.f64 a a)
00-0-a
00-0-#s(literal 3 binary64)
00-0-#s(literal 1 binary64)
00-0-(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a))
00-0-(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
00-0-(*.f64 b b)
00-0-(-.f64 #s(literal 1 binary64) a)
01(2.0766930994392817e-168 -5.08022188020504e-163)0-(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))
00-0-(+.f64 (*.f64 a a) (*.f64 b b))
00-0-(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
00-0-#s(literal 4 binary64)
00-0-#s(literal 2 binary64)
00-0-(+.f64 #s(literal 3 binary64) a)
00-0-b
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))nan-rescue610
(*.f64 b b)overflow66
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))overflow161
(*.f64 a a)overflow52
(+.f64 (*.f64 a a) (*.f64 b b))overflow104
(*.f64 b b)overflow66
(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))overflow136
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))overflow136
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))overflow85
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a))overflow88
(*.f64 a a)overflow52
+.f64(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))nan-rescue370
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a))overflow88
(*.f64 a a)overflow52
(*.f64 b b)overflow66
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))overflow85
Confusion
Predicted +Predicted -
+750
-0181
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+7500
-00181
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0181
152
223
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
66.0ms512×0valid
Compiler

Compiled 305 to 58 computations (81% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-mult: 24.0ms (53.9% of total)
ival-add: 9.0ms (20.2% of total)
ival-sub: 5.0ms (11.2% of total)
ival-pow2: 5.0ms (11.2% of total)
exact: 1.0ms (2.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess361.0ms (4.4%)

Memory
19.5MiB live, 260.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

(abs b)

Compiler

Compiled 29 to 18 computations (37.9% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.6%
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
Compiler

Compiled 29 to 18 computations (37.9% saved)

simplify238.0ms (2.9%)

Memory
-18.6MiB live, 136.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
cost-diff128
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
cost-diff128
(+.f64 (*.f64 a a) (*.f64 b b))
cost-diff128
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
Iterations

Useful iterations: 0 (0.0ms)

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

localize42.0ms (0.5%)

Memory
-5.1MiB live, 33.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.11166000976844202
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
accuracy3.9141784815142278
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
accuracy8.542921274094736
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
accuracy12.152343750000002
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
Samples
28.0ms256×0valid
Compiler

Compiled 138 to 20 computations (85.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 7.0ms (40.1% of total)
ival-add: 4.0ms (22.9% of total)
ival-sub: 2.0ms (11.5% of total)
ival-pow2: 2.0ms (11.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory
10.5MiB live, 10.5MiB allocated
Counts
5 → 120
Calls
Call 1
Inputs
#s(alt (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) (patch (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #<representation binary64>) () ())
#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())
#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())
#s(alt (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 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())
Outputs
#s(alt (+ (* 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 3 binary64) a))))) (patch (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 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 3 binary64) a))))) (patch (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) (taylor 0 b) (#s(alt (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) (patch (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) (taylor 0 b) (#s(alt (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) (patch (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor 0 b) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (pow a 2) (pow b 2)) (taylor 0 b) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (pow a 2) (pow b 2)) (taylor 0 b) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (pow a 2) (pow b 2)) (taylor 0 b) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (- 1 a)) (taylor 0 b) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a))) (taylor 0 b) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a))) (taylor 0 b) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a))) (taylor 0 b) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (pow 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>) () ())) ())
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#s(alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) (taylor 0 a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) (taylor 0 a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) (taylor 0 a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* (pow a 3) (- (/ 1 a) 1)) (taylor inf a) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
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#s(alt (* a (+ (* 3 (/ (pow b 2) a)) (pow b 2))) (taylor inf a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor -inf a) (#s(alt (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) (patch (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #<representation binary64>) () ())) ())
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#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>) () ())) ())
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#s(alt (* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) (taylor -inf a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) (taylor -inf a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) (taylor -inf a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
Calls

6 calls:

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

simplify179.0ms (2.2%)

Memory
6.8MiB live, 92.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01811598
15641573
217221533
351291478
472471478
082721357
Stop Event
iter limit
node limit
Counts
120 → 120
Calls
Call 1
Inputs
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(pow 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) (+ 3 a)))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(pow a 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(pow b 2)
(* (pow 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) (+ 3 a))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(pow b 4)
(* (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 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(pow b 2)
(* (pow 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) (+ 3 a))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(pow b 4)
(* (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 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(+ (* 12 (pow b 2)) (pow b 4))
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4)))
(pow b 2)
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(* 3 (pow b 2))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(+ (* 3 (pow b 2)) (* a (+ a (pow b 2))))
(+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2))))
(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))
(* 3 (pow b 2))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 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))))
(* -1 (pow a 3))
(* (pow a 3) (- (/ 1 a) 1))
(* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1))
(* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1))
(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)))))
(* a (pow b 2))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(pow a 2)
(* (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))))
(* -1 (pow a 3))
(* -1 (* (pow a 3) (- 1 (/ 1 a))))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a)))))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a)))))
(pow a 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)))))
(* a (pow b 2))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
Outputs
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(*.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (pow.f64 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))
(* (pow a 2) (- 1 a))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(fma.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(fma.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(fma.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(fma.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a) a (pow.f64 a #s(literal 4 binary64)))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))
(* (pow b 2) (+ 3 a))
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)
(* (pow b 2) (+ 3 a))
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)
(* (pow b 2) (+ 3 a))
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)
(* (pow b 2) (+ 3 a))
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) a) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(fma.f64 (+.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) #s(literal 1 binary64)) (/.f64 (/.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) b) b)) (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(fma.f64 (+.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) #s(literal 1 binary64)) (/.f64 (/.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) b) b)) (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(* (pow b 2) (+ 3 a))
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(*.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) b) b) a #s(literal 1 binary64)) a #s(literal 3 binary64)) (*.f64 b b))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(*.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) b) b) a #s(literal 1 binary64)) a #s(literal 3 binary64)) (*.f64 b b))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(*.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) b) b) a #s(literal 1 binary64)) a #s(literal 3 binary64)) (*.f64 b b))
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow b 2) (+ 3 a))
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)
(* (pow b 2) (+ 3 a))
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)
(* (pow b 2) (+ 3 a))
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)
(* (pow b 2) (+ 3 a))
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) a) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(fma.f64 (+.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) #s(literal 1 binary64)) (/.f64 (/.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) b) b)) (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(fma.f64 (+.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) #s(literal 1 binary64)) (/.f64 (/.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) b) b)) (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(* (pow b 2) (+ 3 a))
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(*.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) b) b) a #s(literal 1 binary64)) a #s(literal 3 binary64)) (*.f64 b b))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(*.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) b) b) a #s(literal 1 binary64)) a #s(literal 3 binary64)) (*.f64 b b))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(*.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) b) b) a #s(literal 1 binary64)) a #s(literal 3 binary64)) (*.f64 b b))
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow b 2) (+ 3 a))
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)
(* (pow b 2) (+ 3 a))
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)
(* (pow b 2) (+ 3 a))
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)
(* (pow b 2) (+ 3 a))
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)
(+ (* 12 (pow b 2)) (pow b 4))
(fma.f64 #s(literal 12 binary64) (*.f64 b b) (pow.f64 b #s(literal 4 binary64)))
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4)))
(*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(fma.f64 (*.f64 #s(literal 12 binary64) b) b (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (*.f64 a #s(literal 4 binary64))) a (pow.f64 b #s(literal 4 binary64))))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4)))
(fma.f64 (*.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) b) b (fma.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a (pow.f64 b #s(literal 4 binary64))))
(pow b 2)
(*.f64 b b)
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(* 3 (pow b 2))
(*.f64 #s(literal 3 binary64) (*.f64 b b))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)
(+ (* 3 (pow b 2)) (* a (+ a (pow b 2))))
(fma.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b (*.f64 a a))
(+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2))))
(fma.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a))
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))
(* 3 (pow b 2))
(*.f64 #s(literal 3 binary64) (*.f64 b b))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(*.f64 (fma.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) a) (/.f64 b a) (fma.f64 (/.f64 #s(literal 4 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 4 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 a #s(literal 4 binary64)))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(* -1 (pow a 3))
(neg.f64 (pow.f64 a #s(literal 3 binary64)))
(* (pow a 3) (- (/ 1 a) 1))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)
(* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1))
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 b a) b #s(literal 1 binary64)) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 3 binary64)))
(* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1))
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 3 binary64) a) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 b a) a) b) (-.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64))) (pow.f64 a #s(literal 3 binary64)))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 (fma.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(fma.f64 (fma.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(fma.f64 (fma.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))
(* a (pow b 2))
(*.f64 (*.f64 b b) a)
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 3 binary64) a) #s(literal 1 binary64)) (*.f64 b b)) a)
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 3 binary64) a) #s(literal 1 binary64)) (*.f64 b b)) a)
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 3 binary64) a) #s(literal 1 binary64)) (*.f64 b b)) a)
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(* -1 (pow a 3))
(neg.f64 (pow.f64 a #s(literal 3 binary64)))
(* -1 (* (pow a 3) (- 1 (/ 1 a))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a)))))
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 b a) b #s(literal 1 binary64)) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 3 binary64)))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b b) (-.f64 (/.f64 #s(literal -3 binary64) a) #s(literal 1 binary64))) a)) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 3 binary64)))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 (fma.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(fma.f64 (fma.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(fma.f64 (fma.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))
(* a (pow b 2))
(*.f64 (*.f64 b b) a)
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 3 binary64) a) #s(literal 1 binary64)) (*.f64 b b)) a)
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 3 binary64) a) #s(literal 1 binary64)) (*.f64 b b)) a)
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 3 binary64) a) #s(literal 1 binary64)) (*.f64 b b)) a)

rewrite171.0ms (2.1%)

Memory
14.9MiB live, 120.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01765
02865
112365
2106165
0848156
Stop Event
iter limit
node limit
iter limit
Counts
5 → 451
Calls
Call 1
Inputs
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
(+.f64 (*.f64 a a) (*.f64 b b))
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
Outputs
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eval142.0ms (1.7%)

Memory
-22.7MiB live, 66.9MiB allocated
Compiler

Compiled 32 704 to 2 453 computations (92.5% saved)

prune47.0ms (0.6%)

Memory
-1.6MiB live, 36.7MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New5629571
Fresh000
Picked101
Done000
Total5639572
Accuracy
100.0%
Counts
572 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.3%
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)))) #s(literal 1 binary64))
99.5%
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64))
70.7%
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
62.3%
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
76.7%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))))) #s(literal 1 binary64))
70.6%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64))
70.1%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
70.9%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) #s(literal 1 binary64))
70.5%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))))) #s(literal 1 binary64))
Compiler

Compiled 356 to 254 computations (28.7% saved)

simplify242.0ms (3%)

Memory
20.7MiB live, 213.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))))
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))))) #s(literal 1 binary64))
cost-diff128
(*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))
cost-diff0
(pow.f64 b #s(literal 4 binary64))
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 b #s(literal 4 binary64)))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64))
cost-diff0
(*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)
cost-diff0
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b))
cost-diff128
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
cost-diff128
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
cost-diff0
(*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b)
cost-diff0
(*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) #s(literal 1 binary64))
cost-diff0
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
cost-diff0
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64))
cost-diff128
(+.f64 (*.f64 a a) (*.f64 b b))
cost-diff128
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057709
097709
1178709
2378709
31020709
42551709
53998709
67288709
08112668
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) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64))
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b)))))
(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) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))
#s(literal 4 binary64)
#s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b)))
(*.f64 #s(literal 3 binary64) (*.f64 b b))
#s(literal 3 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b))
(*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)
(*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b)
(fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))
b
(fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))
a
#s(literal 4 binary64)
#s(literal 12 binary64)
#s(literal 1 binary64)
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b))
(*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)
(*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b)
(fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64)))
b
(*.f64 (*.f64 a a) #s(literal 2 binary64))
(*.f64 a a)
a
#s(literal 2 binary64)
(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))
#s(literal 4 binary64)
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a))
(-.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
(*.f64 b b)
(+.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 b #s(literal 4 binary64)))
(pow.f64 b #s(literal 4 binary64))
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) (+ 3 a))))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))
(-.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
a
#s(literal 4 binary64)
(*.f64 a a)
(fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))
(fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64))
#s(literal 2 binary64)
#s(literal 12 binary64)
(*.f64 b b)
b
(pow.f64 a #s(literal 4 binary64))
Outputs
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #s(literal 4 binary64) (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b)))))
(fma.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #s(literal 4 binary64) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)))
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
(pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))
(+.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 b b (*.f64 a a))
(*.f64 a a)
a
(*.f64 b b)
b
#s(literal 2 binary64)
(*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))
(*.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b)))
(*.f64 #s(literal 3 binary64) (*.f64 b b))
#s(literal 3 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b))
(*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)
(*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)
(*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b)
(*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b)
(fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))
(fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))
b
(fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))
(fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))
a
#s(literal 4 binary64)
#s(literal 12 binary64)
#s(literal 1 binary64)
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (+.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) b) b))))
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
(fma.f64 (fma.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)) #s(literal 4 binary64) #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) b) b)))
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b))
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) b) b))
(*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) b) b)
(*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b)
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) b)
(fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))
b
(*.f64 (*.f64 a a) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 a a))
(*.f64 a a)
a
#s(literal 2 binary64)
(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))
(*.f64 (fma.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)) #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 3 binary64) a)))
(fma.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a))
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)
(-.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)
(*.f64 b b)
(+.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 b #s(literal 4 binary64)))
(pow.f64 b #s(literal 4 binary64))
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) (+ 3 a))))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 #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 4 binary64)) a #s(literal 12 binary64)) b) b (pow.f64 a #s(literal 4 binary64))))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 #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 4 binary64)) a #s(literal 12 binary64)) b) b (pow.f64 a #s(literal 4 binary64)))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))))
(fma.f64 (*.f64 (fma.f64 #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 4 binary64)) a #s(literal 12 binary64)) b) b (pow.f64 a #s(literal 4 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))
(-.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
a
#s(literal 4 binary64)
(*.f64 a a)
(fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b (pow.f64 a #s(literal 4 binary64)))
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))
(fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64))
#s(literal 2 binary64)
#s(literal 12 binary64)
(*.f64 b b)
b
(pow.f64 a #s(literal 4 binary64))

localize239.0ms (2.9%)

Memory
11.8MiB live, 255.5MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 a a)
accuracy2.4531250000000004
(fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))
accuracy4.396816259768443
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))))
accuracy7.6919631722759165
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))))
accuracy0
(pow.f64 b #s(literal 4 binary64))
accuracy0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64))
accuracy28.40101419072841
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 b #s(literal 4 binary64)))
accuracy3.9141784815142278
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
accuracy8.542921274094736
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
accuracy12.152343750000002
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
accuracy18.420543297288276
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b))
accuracy0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) #s(literal 1 binary64))
accuracy0.09765625
(*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b)
accuracy0.09765625
(*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)
accuracy25.407173321209722
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b))
accuracy0.11166000976844202
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
accuracy0.11328125
(*.f64 #s(literal 3 binary64) (*.f64 b b))
accuracy12.152343750000002
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b)))))
accuracy39.25436675627264
#s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b)))
Samples
89.0ms11×1valid
88.0ms237×0valid
6.0ms2valid
Compiler

Compiled 588 to 42 computations (92.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 156.0ms
adjust: 85.0ms (54.6% of total)
ival-mult: 45.0ms (28.9% of total)
ival-add: 13.0ms (8.4% of total)
ival-pow: 6.0ms (3.9% of total)
ival-sub: 3.0ms (1.9% of total)
ival-pow2: 3.0ms (1.9% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series46.0ms (0.6%)

Memory
-7.9MiB live, 66.5MiB allocated
Counts
24 → 528
Calls
Call 1
Inputs
#s(alt (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) (patch (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #<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 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #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) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b) (patch (*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) (patch (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) #<representation binary64>) () ())
#s(alt (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) (patch (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #<representation binary64>) () ())
#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())
#s(alt #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) (patch #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b) (patch (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 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) (+ 3 a))))) (pow.f64 b #s(literal 4 binary64))) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 b #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 b #s(literal 4 binary64)) (patch (pow.f64 b #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (patch (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))))) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))) (patch (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) (patch #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 3 binary64) (*.f64 b b)) (patch (*.f64 #s(literal 3 binary64) (*.f64 b b)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))) (patch (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())
Outputs
#s(alt (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) (taylor 0 b) (#s(alt (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) (patch (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 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) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) (patch (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) (taylor 0 b) (#s(alt (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) (patch (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) (taylor 0 b) (#s(alt (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) (patch (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor 0 b) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (pow a 2) (pow b 2)) (taylor 0 b) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (pow a 2) (pow b 2)) (taylor 0 b) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (pow a 2) (pow b 2)) (taylor 0 b) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) (taylor 0 b) (#s(alt (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #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) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) (taylor 0 b) (#s(alt (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #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) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #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) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #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) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor 0 b) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (taylor 0 b) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) (taylor 0 b) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) (taylor 0 b) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) (taylor 0 b) (#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) (taylor 0 b) (#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) (taylor -inf a) (#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))))) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) (taylor -inf a) (#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))))) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor -inf a) (#s(alt (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))) (patch (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (- 1 (* 4 (/ 1 a)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))) (patch (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))) (patch (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))) (patch (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow a 3)) (taylor -inf a) (#s(alt #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) (patch #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow a 3) (- 1 (/ 1 a)))) (taylor -inf a) (#s(alt #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) (patch #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a))))) (taylor -inf a) (#s(alt #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) (patch #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a))))) (taylor -inf a) (#s(alt #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) (patch #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* a (pow b 2)) (taylor -inf a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) (taylor -inf a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) (taylor -inf a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) (taylor -inf a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor -inf a) (#s(alt (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))) (patch (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))) (patch (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (* 4 (/ (pow b 2) (pow a 3)))))) (taylor -inf a) (#s(alt (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))) (patch (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (+ (* -1 (/ (+ (* -12 (/ (pow b 2) a)) (* -4 (pow b 2))) (pow a 3))) (* 2 (/ (pow b 2) (pow a 2)))))) (taylor -inf a) (#s(alt (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))) (patch (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
4.0ms
b
@0
((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow (+ (* a a) (* b b)) 2) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (* (+ (* b b) (+ (* a 4) 12)) b) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (pow (+ (* a a) (* b b)) 2) (* (* (+ (* b b) (* (* a a) 2)) b) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow b 4) (* (- 1 a) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* 3 (* b b)) (* (* b b) (+ 3 a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4)) (* a a))
3.0ms
b
@inf
((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow (+ (* a a) (* b b)) 2) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (* (+ (* b b) (+ (* a 4) 12)) b) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (pow (+ (* a a) (* b b)) 2) (* (* (+ (* b b) (* (* a a) 2)) b) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow b 4) (* (- 1 a) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* 3 (* b b)) (* (* b b) (+ 3 a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4)) (* a a))
3.0ms
b
@-inf
((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow (+ (* a a) (* b b)) 2) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (* (+ (* b b) (+ (* a 4) 12)) b) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (pow (+ (* a a) (* b b)) 2) (* (* (+ (* b b) (* (* a a) 2)) b) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow b 4) (* (- 1 a) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* 3 (* b b)) (* (* b b) (+ 3 a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4)) (* a a))
2.0ms
a
@-inf
((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow (+ (* a a) (* b b)) 2) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (* (+ (* b b) (+ (* a 4) 12)) b) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (pow (+ (* a a) (* b b)) 2) (* (* (+ (* b b) (* (* a a) 2)) b) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow b 4) (* (- 1 a) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* 3 (* b b)) (* (* b b) (+ 3 a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4)) (* a a))
2.0ms
a
@inf
((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow (+ (* a a) (* b b)) 2) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (* (+ (* b b) (+ (* a 4) 12)) b) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (pow (+ (* a a) (* b b)) 2) (* (* (+ (* b b) (* (* a a) 2)) b) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow b 4) (* (- 1 a) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* 3 (* b b)) (* (* b b) (+ 3 a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4)) (* a a))

simplify220.0ms (2.7%)

Memory
13.2MiB live, 253.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02899132
19388868
228638658
081627942
Stop Event
iter limit
node limit
Counts
528 → 528
Calls
Call 1
Inputs
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(pow 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 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(pow 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 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(* (pow b 2) (+ 12 (* 4 a)))
(* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2))))
(* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2))))
(* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2))))
(* b (+ 12 (* 4 a)))
(* b (+ 12 (+ (* 4 a) (pow b 2))))
(* b (+ 12 (+ (* 4 a) (pow b 2))))
(* b (+ 12 (+ (* 4 a) (pow b 2))))
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(* (pow a 2) (- 1 a))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(pow 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))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2)))
(* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2)))
(* (pow b 2) (+ (* 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 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 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 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a))))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a))))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a))))) (pow a 4)))
(* (pow a 2) (- 1 a))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(* 3 (pow b 2))
(* 3 (pow b 2))
(* 3 (pow b 2))
(* 3 (pow b 2))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(pow a 4)
(+ (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a))))) (pow a 4))
(+ (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a))))) (pow a 4))
(+ (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a))))) (pow a 4))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(pow b 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 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (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 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(pow b 3)
(* (pow b 3) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(* (pow b 3) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(* (pow b 3) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(* (pow b 2) (+ 12 (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 2))) (+ (* a (+ 4 (* 2 a))) (/ (pow a 4) (pow b 2))))))
(* (pow b 2) (+ 12 (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 2))) (+ (* a (+ 4 (* 2 a))) (/ (pow a 4) (pow b 2))))))
(* (pow b 2) (+ 12 (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 2))) (+ (* a (+ 4 (* 2 a))) (/ (pow a 4) (pow b 2))))))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* 3 (pow b 2))
(* 3 (pow b 2))
(* 3 (pow b 2))
(* 3 (pow b 2))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (pow a 4) (pow b 2)))))
(* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (pow a 4) (pow b 2)))))
(* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (pow a 4) (pow b 2)))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(pow b 2)
(* (pow 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 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (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 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(pow b 3)
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* 4 a)) (pow b 2))) 1)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* 4 a)) (pow b 2))) 1)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* 4 a)) (pow b 2))) 1)))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(* (pow b 2) (+ 12 (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 2))) (+ (* a (+ 4 (* 2 a))) (/ (pow a 4) (pow b 2))))))
(* (pow b 2) (+ 12 (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 2))) (+ (* a (+ 4 (* 2 a))) (/ (pow a 4) (pow b 2))))))
(* (pow b 2) (+ 12 (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 2))) (+ (* a (+ 4 (* 2 a))) (/ (pow a 4) (pow b 2))))))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* 3 (pow b 2))
(* 3 (pow b 2))
(* 3 (pow b 2))
(* 3 (pow b 2))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (pow a 4) (pow b 2)))))
(* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (pow a 4) (pow b 2)))))
(* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (pow a 4) (pow b 2)))))
(+ (* 12 (pow b 2)) (pow b 4))
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4)))
(pow b 2)
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(pow 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))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(+ (* 12 (pow b 2)) (pow b 4))
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4)))
(* (pow b 2) (+ 12 (pow b 2)))
(+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2))))
(+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2))))
(+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2))))
(* b (+ 12 (pow b 2)))
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2))))
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2))))
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2))))
(+ (* 12 (pow b 2)) (pow b 4))
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4)))
(* 3 (pow b 2))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(+ (* 3 (pow b 2)) (* a (+ a (pow b 2))))
(+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2))))
(pow b 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(pow b 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(+ (* 12 (pow b 2)) (pow b 4))
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4)))
4
(+ 4 (* -4 a))
(+ 4 (* -4 a))
(+ 4 (* -4 a))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(+ (* 12 (pow b 2)) (pow b 4))
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4)))
(* 12 (pow b 2))
(+ (* 4 (* a (pow b 2))) (* 12 (pow b 2)))
(+ (* 12 (pow b 2)) (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))))
(+ (* 12 (pow b 2)) (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))))
(* 3 (pow b 2))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(+ (* 3 (pow b 2)) (* a (+ a (pow b 2))))
(+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2))))
(* 3 (pow b 2))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(* 12 (pow b 2))
(+ (* 4 (* a (pow b 2))) (* 12 (pow b 2)))
(+ (* 12 (pow b 2)) (* a (+ (* 2 (* a (pow b 2))) (* 4 (pow b 2)))))
(+ (* 12 (pow b 2)) (* a (+ (* 4 (pow b 2)) (* a (+ (* 2 (pow b 2)) (pow a 2))))))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 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 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (+ 1 (* 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 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(* 4 (* a (pow b 2)))
(* a (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a)))
(* a (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a)))
(* a (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a)))
(* 4 (* a b))
(* a (+ (* 4 b) (/ (* b (+ 12 (pow b 2))) a)))
(* a (+ (* 4 b) (/ (* b (+ 12 (pow b 2))) a)))
(* a (+ (* 4 b) (/ (* b (+ 12 (pow b 2))) a)))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(* -1 (pow a 3))
(* (pow a 3) (- (/ 1 a) 1))
(* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1))
(* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1))
(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)))))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (pow b 4) (pow a 2))))
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (pow b 4) (pow a 2))))
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (pow b 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 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(* -4 a)
(* a (- (* 4 (/ 1 a)) 4))
(* a (- (* 4 (/ 1 a)) 4))
(* a (- (* 4 (/ 1 a)) 4))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(* -1 (pow a 3))
(* (pow a 3) (- (/ 1 a) 1))
(* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1))
(* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1))
(* a (pow b 2))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(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))) (* 4 (/ (pow b 2) (pow a 3))))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (* 12 (/ (pow b 2) (pow a 4)))))))
(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 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(pow a 2)
(* (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 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(pow a 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 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(* 4 (* a (pow b 2)))
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 12 (pow b 2))) a)))))
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 12 (pow b 2))) a)))))
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 12 (pow b 2))) a)))))
(* 4 (* a b))
(* -1 (* a (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a)))))
(* -1 (* a (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a)))))
(* -1 (* a (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a)))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(* -1 (pow a 3))
(* -1 (* (pow a 3) (- 1 (/ 1 a))))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a)))))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a)))))
(pow a 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)))))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (pow b 4) (pow a 2))))
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (pow b 4) (pow a 2))))
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (pow b 4) (pow a 2))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(* -4 a)
(* -1 (* a (- 4 (* 4 (/ 1 a)))))
(* -1 (* a (- 4 (* 4 (/ 1 a)))))
(* -1 (* a (- 4 (* 4 (/ 1 a)))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(* -1 (pow a 3))
(* -1 (* (pow a 3) (- 1 (/ 1 a))))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a)))))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a)))))
(* a (pow b 2))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (* 4 (/ (pow b 2) (pow a 3))))))
(* (pow a 4) (+ 1 (+ (* -1 (/ (+ (* -12 (/ (pow b 2) a)) (* -4 (pow b 2))) (pow a 3))) (* 2 (/ (pow b 2) (pow a 2))))))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
Outputs
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(*.f64 (*.f64 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)))))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(fma.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (*.f64 a a) (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(fma.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (*.f64 a a) (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (pow.f64 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 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) #s(literal -1 binary64)))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(+ (* 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 (pow.f64 a #s(literal 4 binary64)))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) #s(literal -1 binary64)))
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(*.f64 (*.f64 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)))))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(fma.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (*.f64 a a) (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(fma.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (*.f64 a a) (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))))
(* (pow b 2) (+ 12 (* 4 a)))
(*.f64 (*.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) b) b)
(* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2))))
(*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)
(* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2))))
(*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)
(* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2))))
(*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)
(* b (+ 12 (* 4 a)))
(*.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) b)
(* b (+ 12 (+ (* 4 a) (pow b 2))))
(*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b)
(* b (+ 12 (+ (* 4 a) (pow b 2))))
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(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) a) (/.f64 b a) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
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(pow a 4)
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(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64)))
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(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(pow a 4)
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(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64)))
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(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
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(pow a 4)
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(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64)))
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(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
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(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) b) (/.f64 b a) (*.f64 (neg.f64 b) b)) a)) a)) (neg.f64 (pow.f64 a #s(literal 3 binary64))))
(pow a 4)
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(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) a) (/.f64 b a) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) a) (/.f64 b a) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* 2 (* (pow a 2) (pow b 2)))
(*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) b) b)
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (pow b 4) (pow a 2))))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) a) a)) (*.f64 a a))
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (pow b 4) (pow a 2))))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) a) a)) (*.f64 a a))
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (pow b 4) (pow a 2))))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) a) a)) (*.f64 a a))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)) 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 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* -4 a)
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(* -1 (* a (- 4 (* 4 (/ 1 a)))))
(*.f64 (fma.f64 (/.f64 #s(literal -4 binary64) a) #s(literal -1 binary64) #s(literal -4 binary64)) a)
(* -1 (* a (- 4 (* 4 (/ 1 a)))))
(*.f64 (fma.f64 (/.f64 #s(literal -4 binary64) a) #s(literal -1 binary64) #s(literal -4 binary64)) a)
(* -1 (* a (- 4 (* 4 (/ 1 a)))))
(*.f64 (fma.f64 (/.f64 #s(literal -4 binary64) a) #s(literal -1 binary64) #s(literal -4 binary64)) a)
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)) 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 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)) 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 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* -1 (pow a 3))
(neg.f64 (pow.f64 a #s(literal 3 binary64)))
(* -1 (* (pow a 3) (- 1 (/ 1 a))))
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) a) #s(literal -1 binary64) #s(literal -1 binary64)) (pow.f64 a #s(literal 3 binary64)))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (/.f64 b a) #s(literal 1 binary64)) a)) (neg.f64 (pow.f64 a #s(literal 3 binary64))))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) b) (/.f64 b a) (*.f64 (neg.f64 b) b)) a)) a)) (neg.f64 (pow.f64 a #s(literal 3 binary64))))
(* a (pow b 2))
(*.f64 (*.f64 b b) a)
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 3 binary64) a) #s(literal 1 binary64))) a)
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 3 binary64) a) #s(literal 1 binary64))) a)
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 3 binary64) a) #s(literal 1 binary64))) a)
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (* 4 (/ (pow b 2) (pow a 3))))))
(*.f64 (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (+ (* -1 (/ (+ (* -12 (/ (pow b 2) a)) (* -4 (pow b 2))) (pow a 3))) (* 2 (/ (pow b 2) (pow a 2))))))
(*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) a) (/.f64 b a) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -12 binary64) (/.f64 (*.f64 b b) a) (*.f64 #s(literal -4 binary64) (*.f64 b b))) (pow.f64 a #s(literal 3 binary64)))) (pow.f64 a #s(literal 4 binary64)))
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)

rewrite259.0ms (3.2%)

Memory
-27.5MiB live, 295.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056522
095522
1392522
23147522
08434478
Stop Event
iter limit
node limit
iter limit
Counts
24 → 513
Calls
Call 1
Inputs
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b)))))
(+.f64 (*.f64 a a) (*.f64 b b))
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64))
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b))
(*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)
(*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b)
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b))
(*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 b #s(literal 4 binary64)))
(pow.f64 b #s(literal 4 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))))
#s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b)))
(*.f64 #s(literal 3 binary64) (*.f64 b b))
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
(fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))
(*.f64 a a)
Outputs
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eval189.0ms (2.3%)

Memory
1.1MiB live, 274.4MiB allocated
Compiler

Compiled 39 414 to 2 864 computations (92.7% saved)

prune40.0ms (0.5%)

Memory
10.9MiB live, 128.0MiB allocated
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New1 083181 101
Fresh404
Picked505
Done000
Total1 092181 110
Accuracy
100.0%
Counts
1 110 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64))
58.6%
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.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 3 binary64) a))))) #s(literal 1 binary64))
87.5%
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64))
79.3%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b)))) #s(literal 1 binary64))
70.5%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1 binary64))
68.0%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)) b)) #s(literal 1 binary64))
36.2%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b a) #s(literal 4 binary64))) b)) #s(literal 1 binary64))
51.4%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 #s(literal 12 binary64) (*.f64 b b)))) #s(literal 1 binary64))
67.3%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a))) #s(literal 1 binary64))
38.7%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 4 binary64)))) #s(literal 1 binary64))
95.2%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) #s(literal -1 binary64))))
80.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (*.f64 a #s(literal 4 binary64))) a (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))))
87.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) #s(literal -1 binary64))))
70.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b #s(literal -1 binary64)))
70.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
70.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) #s(literal -1 binary64)))
48.1%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 b #s(literal 4 binary64)))
47.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 a #s(literal 4 binary64)))
Compiler

Compiled 624 to 452 computations (27.6% saved)

simplify197.0ms (2.4%)

Memory
2.0MiB live, 247.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) #s(literal -1 binary64)))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) #s(literal -1 binary64))))
cost-diff128
(*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))
cost-diff192
(fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)))
cost-diff0
(*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)) b)
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)) b))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)) b)) #s(literal 1 binary64))
cost-diff832
(*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)
cost-diff-5504
(*.f64 (*.f64 b b) (*.f64 b b))
cost-diff0
(*.f64 b b)
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (*.f64 b b)))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1 binary64))
cost-diff0
(*.f64 #s(literal 12 binary64) (*.f64 b b))
cost-diff0
#s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 #s(literal 12 binary64) (*.f64 b b)))
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 #s(literal 12 binary64) (*.f64 b b))))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 #s(literal 12 binary64) (*.f64 b b)))) #s(literal 1 binary64))
cost-diff0
(fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))
cost-diff0
#s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64))))
cost-diff0
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64))
cost-diff128
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071825
0108825
1226815
2492809
31219799
43521789
55108789
08182736
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64))
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b)))))
#s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64))))
(fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))
(*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b)
(fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64)))
b
(*.f64 (*.f64 a a) #s(literal 2 binary64))
(*.f64 a a)
a
#s(literal 2 binary64)
(pow.f64 a #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))
#s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b)))
(*.f64 #s(literal 3 binary64) (*.f64 b b))
#s(literal 3 binary64)
(*.f64 b b)
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 #s(literal 12 binary64) (*.f64 b b)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 #s(literal 12 binary64) (*.f64 b b))))
#s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 #s(literal 12 binary64) (*.f64 b b)))
(*.f64 #s(literal 12 binary64) (*.f64 b b))
#s(literal 12 binary64)
(*.f64 b b)
b
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (*.f64 b b)))
(*.f64 (*.f64 b b) (*.f64 b b))
(*.f64 b b)
b
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)) b)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)) b))
(*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)) b)
#s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a))
(*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)
(*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)))
b
(+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))
(/.f64 (fma.f64 b b #s(literal 12 binary64)) a)
(fma.f64 b b #s(literal 12 binary64))
#s(literal 12 binary64)
a
#s(literal 4 binary64)
#s(literal 1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) #s(literal -1 binary64))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) #s(literal -1 binary64)))
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64)))
(fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64))
#s(literal 2 binary64)
a
#s(literal 4 binary64)
(fma.f64 b b #s(literal 12 binary64))
b
#s(literal 12 binary64)
(*.f64 b b)
(fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) #s(literal -1 binary64))
(*.f64 a a)
(fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)))
(*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))
(-.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
#s(literal -1 binary64)
Outputs
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64))
(-.f64 (fma.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64))) #s(literal 4 binary64) #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (pow.f64 a #s(literal 4 binary64))))) #s(literal 1 binary64))
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b)))))
(fma.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64))) #s(literal 4 binary64) #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (pow.f64 a #s(literal 4 binary64)))))
#s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64))))
#s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (pow.f64 a #s(literal 4 binary64))))
(fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))
(fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (pow.f64 a #s(literal 4 binary64)))
(*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b)
(*.f64 (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a))) b)
(fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64)))
(fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))
b
(*.f64 (*.f64 a a) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 a a))
(*.f64 a a)
a
#s(literal 2 binary64)
(pow.f64 a #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))
(*.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64))) #s(literal 4 binary64))
#s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b)))
#s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64)))
(*.f64 #s(literal 3 binary64) (*.f64 b b))
(*.f64 (*.f64 b b) #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 b b)
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 #s(literal 12 binary64) (*.f64 b b)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 #s(literal 12 binary64) (*.f64 b b))))
#s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 #s(literal 12 binary64) (*.f64 b b)))
(*.f64 #s(literal 12 binary64) (*.f64 b b))
#s(literal 12 binary64)
(*.f64 b b)
b
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (*.f64 b b)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 b #s(literal 4 binary64)))
(*.f64 (*.f64 b b) (*.f64 b b))
(pow.f64 b #s(literal 4 binary64))
(*.f64 b b)
b
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b)) b)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)) b))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b)) b))
(*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)) b)
(*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b)) b)
#s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a))
#s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b))
(*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)
(*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b)
(*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)))
(*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b)
b
(+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))
(/.f64 (fma.f64 b b #s(literal 12 binary64)) a)
(fma.f64 b b #s(literal 12 binary64))
#s(literal 12 binary64)
a
#s(literal 4 binary64)
#s(literal 1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) #s(literal -1 binary64)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64)))
(fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64))
#s(literal 2 binary64)
a
#s(literal 4 binary64)
(fma.f64 b b #s(literal 12 binary64))
b
#s(literal 12 binary64)
(*.f64 b b)
(fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) #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)
(fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)))
(fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))
(-.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
#s(literal -1 binary64)

localize197.0ms (2.4%)

Memory
11.0MiB live, 290.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))
accuracy0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) #s(literal -1 binary64))))
accuracy0.08041000976844202
(fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) #s(literal -1 binary64))
accuracy2.4257812500000004
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) #s(literal -1 binary64)))
accuracy0.09765625
(*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)) b)
accuracy2.89584675193213
(*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)
accuracy4.024613548718338
(/.f64 (fma.f64 b b #s(literal 12 binary64)) a)
accuracy25.407173321209722
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)) b))
accuracy0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1 binary64))
accuracy0
(*.f64 b b)
accuracy0.1015625
(*.f64 (*.f64 b b) (*.f64 b b))
accuracy28.40101419072841
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (*.f64 b b)))
accuracy0
(*.f64 b b)
accuracy0.12890625
(*.f64 #s(literal 12 binary64) (*.f64 b b))
accuracy7.6919631722759165
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 #s(literal 12 binary64) (*.f64 b b))))
accuracy31.703366506354083
#s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 #s(literal 12 binary64) (*.f64 b b)))
accuracy0.11328125
(*.f64 #s(literal 3 binary64) (*.f64 b b))
accuracy2.8843275095251437
(*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b)
accuracy12.152343750000002
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b)))))
accuracy39.25436675627264
#s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b)))
Samples
122.0ms236×0valid
28.0ms2valid
8.0ms11×1valid
Compiler

Compiled 583 to 58 computations (90.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 112.0ms
ival-mult: 74.0ms (66.3% of total)
ival-add: 21.0ms (18.8% of total)
adjust: 4.0ms (3.6% of total)
ival-pow: 4.0ms (3.6% of total)
ival-sub: 3.0ms (2.7% of total)
ival-pow2: 3.0ms (2.7% of total)
ival-div: 2.0ms (1.8% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series53.0ms (0.6%)

Memory
-13.6MiB live, 99.1MiB allocated
Counts
25 → 516
Calls
Call 1
Inputs
#s(alt (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) (patch (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))) (patch #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64))) (patch (fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 #s(literal 12 binary64) (*.f64 b b)))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 #s(literal 12 binary64) (*.f64 b b)))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 #s(literal 12 binary64) (*.f64 b b)))) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 #s(literal 12 binary64) (*.f64 b b)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 #s(literal 12 binary64) (*.f64 b b))) (patch #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 #s(literal 12 binary64) (*.f64 b b))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 12 binary64) (*.f64 b b)) (patch (*.f64 #s(literal 12 binary64) (*.f64 b b)) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (*.f64 b b))) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (*.f64 b b))) #<representation binary64>) () ())
#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 b b) (*.f64 b b)) (patch (*.f64 (*.f64 b b) (*.f64 b b)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a) (patch (*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)) b)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)) b)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)) b)) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)) b)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)) b) (patch (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)) b) #<representation binary64>) () ())
#s(alt (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) (patch (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (patch (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) #s(literal -1 binary64))) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) (patch #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) (patch (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 3 binary64) (*.f64 b b)) (patch (*.f64 #s(literal 3 binary64) (*.f64 b b)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) (patch (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) #s(literal -1 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) (taylor 0 b) (#s(alt (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) (patch (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) (taylor 0 b) (#s(alt (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) (patch (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) (taylor 0 b) (#s(alt (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) (patch (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) (taylor 0 b) (#s(alt (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) (patch (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) (taylor 0 b) (#s(alt (-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) (taylor 0 b) (#s(alt (-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt (-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt (-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor 0 b) (#s(alt #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))) (patch #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (taylor 0 b) (#s(alt #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))) (patch #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) (taylor 0 b) (#s(alt #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))) (patch #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) (taylor 0 b) (#s(alt #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))) (patch #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor 0 b) (#s(alt (fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64))) (patch (fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (taylor 0 b) (#s(alt (fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64))) (patch (fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) (taylor 0 b) (#s(alt (fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64))) (patch (fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) (taylor 0 b) (#s(alt (fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64))) (patch (fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) (taylor 0 b) (#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 #s(literal 12 binary64) (*.f64 b b)))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 #s(literal 12 binary64) (*.f64 b b)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) (taylor 0 b) (#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 #s(literal 12 binary64) (*.f64 b b)))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 #s(literal 12 binary64) (*.f64 b b)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 #s(literal 12 binary64) (*.f64 b b)))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 #s(literal 12 binary64) (*.f64 b b)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (/ (+ 12 (pow b 2)) a) (taylor -inf a) (#s(alt (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) (patch (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ 12 (pow b 2)) a) (taylor -inf a) (#s(alt (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) (patch (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ 12 (pow b 2)) a) (taylor -inf a) (#s(alt (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) (patch (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ 12 (pow b 2)) a) (taylor -inf a) (#s(alt (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) (patch (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor -inf a) (#s(alt (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (- 1 (* 4 (/ 1 a)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
9.0ms
b
@0
((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow (+ (* a a) (* b b)) 2) (+ (* (* (+ (* b b) (* (* a a) 2)) b) b) (pow a 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (* 12 (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* b b) (* (* b b) (* b b)) (* (* b (+ (/ (+ (* b b) 12) a) 4)) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (+ (* a a) (* 4 (- 1 a))) (* 4 (- 1 a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) (* b b)) (+ (* (* a a) (+ (* a a) (* 4 (- 1 a)))) -1)) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* (+ (* b b) (* (* a a) 2)) b) (* 3 (* b b)) (/ (+ (* b b) 12) a) (+ (* (* a a) (+ (* a a) (* 4 (- 1 a)))) -1))
4.0ms
b
@inf
((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow (+ (* a a) (* b b)) 2) (+ (* (* (+ (* b b) (* (* a a) 2)) b) b) (pow a 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (* 12 (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* b b) (* (* b b) (* b b)) (* (* b (+ (/ (+ (* b b) 12) a) 4)) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (+ (* a a) (* 4 (- 1 a))) (* 4 (- 1 a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) (* b b)) (+ (* (* a a) (+ (* a a) (* 4 (- 1 a)))) -1)) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* (+ (* b b) (* (* a a) 2)) b) (* 3 (* b b)) (/ (+ (* b b) 12) a) (+ (* (* a a) (+ (* a a) (* 4 (- 1 a)))) -1))
4.0ms
b
@-inf
((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow (+ (* a a) (* b b)) 2) (+ (* (* (+ (* b b) (* (* a a) 2)) b) b) (pow a 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (* 12 (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* b b) (* (* b b) (* b b)) (* (* b (+ (/ (+ (* b b) 12) a) 4)) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (+ (* a a) (* 4 (- 1 a))) (* 4 (- 1 a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) (* b b)) (+ (* (* a a) (+ (* a a) (* 4 (- 1 a)))) -1)) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* (+ (* b b) (* (* a a) 2)) b) (* 3 (* b b)) (/ (+ (* b b) 12) a) (+ (* (* a a) (+ (* a a) (* 4 (- 1 a)))) -1))
3.0ms
a
@-inf
((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow (+ (* a a) (* b b)) 2) (+ (* (* (+ (* b b) (* (* a a) 2)) b) b) (pow a 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (* 12 (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* b b) (* (* b b) (* b b)) (* (* b (+ (/ (+ (* b b) 12) a) 4)) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (+ (* a a) (* 4 (- 1 a))) (* 4 (- 1 a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) (* b b)) (+ (* (* a a) (+ (* a a) (* 4 (- 1 a)))) -1)) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* (+ (* b b) (* (* a a) 2)) b) (* 3 (* b b)) (/ (+ (* b b) 12) a) (+ (* (* a a) (+ (* a a) (* 4 (- 1 a)))) -1))
2.0ms
a
@inf
((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow (+ (* a a) (* b b)) 2) (+ (* (* (+ (* b b) (* (* a a) 2)) b) b) (pow a 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (* 12 (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* b b) (* (* b b) (* b b)) (* (* b (+ (/ (+ (* b b) 12) a) 4)) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (+ (* a a) (* 4 (- 1 a))) (* 4 (- 1 a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) (* b b)) (+ (* (* a a) (+ (* a a) (* 4 (- 1 a)))) -1)) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* (+ (* b b) (* (* a a) 2)) b) (* 3 (* b b)) (/ (+ (* b b) 12) a) (+ (* (* a a) (+ (* a a) (* 4 (- 1 a)))) -1))

simplify209.0ms (2.5%)

Memory
-2.3MiB live, 284.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03359084
110568814
232838533
080957797
Stop Event
iter limit
node limit
Counts
516 → 516
Calls
Call 1
Inputs
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(pow a 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(pow 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 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a))))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a))))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a))))) (pow a 4)))
(* 12 (pow b 2))
(* 12 (pow b 2))
(* 12 (pow b 2))
(* 12 (pow b 2))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(* a (* b (+ 4 (* 12 (/ 1 a)))))
(* b (+ (* a (+ 4 (* 12 (/ 1 a)))) (pow b 2)))
(* b (+ (* a (+ 4 (* 12 (/ 1 a)))) (pow b 2)))
(* b (+ (* a (+ 4 (* 12 (/ 1 a)))) (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 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(* (pow b 2) (+ 12 (* 4 a)))
(* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2))))
(* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2))))
(* (pow b 2) (+ 12 (+ (* 4 a) (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 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(- (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) 1)
(- (+ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1)
(- (+ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1)
(- (+ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1)
(* (pow a 2) (- 1 a))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(* 2 (* (pow a 2) b))
(* b (+ (* 2 (pow a 2)) (pow b 2)))
(* b (+ (* 2 (pow a 2)) (pow b 2)))
(* b (+ (* 2 (pow a 2)) (pow b 2)))
(* 3 (pow b 2))
(* 3 (pow b 2))
(* 3 (pow b 2))
(* 3 (pow b 2))
(/ 12 a)
(+ (* 12 (/ 1 a)) (/ (pow b 2) a))
(+ (* 12 (/ 1 a)) (/ (pow b 2) a))
(+ (* 12 (/ 1 a)) (/ (pow b 2) a))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(* (pow b 2) (+ 12 (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 2))) (+ (* a (+ 4 (* 2 a))) (/ (pow a 4) (pow b 2))))))
(* (pow b 2) (+ 12 (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 2))) (+ (* a (+ 4 (* 2 a))) (/ (pow a 4) (pow b 2))))))
(* (pow b 2) (+ 12 (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 2))) (+ (* a (+ 4 (* 2 a))) (/ (pow a 4) (pow b 2))))))
(* 12 (pow b 2))
(* 12 (pow b 2))
(* 12 (pow b 2))
(* 12 (pow b 2))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 3)
(* (pow b 3) (+ 1 (/ (* a (+ 4 (* 12 (/ 1 a)))) (pow b 2))))
(* (pow b 3) (+ 1 (/ (* a (+ 4 (* 12 (/ 1 a)))) (pow b 2))))
(* (pow b 3) (+ 1 (/ (* a (+ 4 (* 12 (/ 1 a)))) (pow b 2))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(pow b 3)
(* (pow b 3) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 3) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 3) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* 3 (pow b 2))
(* 3 (pow b 2))
(* 3 (pow b 2))
(* 3 (pow b 2))
(/ (pow b 2) a)
(* (pow b 2) (+ (/ 1 a) (* 12 (/ 1 (* a (pow b 2))))))
(* (pow b 2) (+ (/ 1 a) (* 12 (/ 1 (* a (pow b 2))))))
(* (pow b 2) (+ (/ 1 a) (* 12 (/ 1 (* a (pow b 2))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(* (pow b 2) (+ 12 (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 2))) (+ (* a (+ 4 (* 2 a))) (/ (pow a 4) (pow b 2))))))
(* (pow b 2) (+ 12 (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 2))) (+ (* a (+ 4 (* 2 a))) (/ (pow a 4) (pow b 2))))))
(* (pow b 2) (+ 12 (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 2))) (+ (* a (+ 4 (* 2 a))) (/ (pow a 4) (pow b 2))))))
(* 12 (pow b 2))
(* 12 (pow b 2))
(* 12 (pow b 2))
(* 12 (pow b 2))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 3)
(* -1 (* (pow b 3) (- (* -1 (/ (* a (+ 4 (* 12 (/ 1 a)))) (pow b 2))) 1)))
(* -1 (* (pow b 3) (- (* -1 (/ (* a (+ 4 (* 12 (/ 1 a)))) (pow b 2))) 1)))
(* -1 (* (pow b 3) (- (* -1 (/ (* a (+ 4 (* 12 (/ 1 a)))) (pow b 2))) 1)))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(pow b 3)
(* -1 (* (pow b 3) (- (* -2 (/ (pow a 2) (pow b 2))) 1)))
(* -1 (* (pow b 3) (- (* -2 (/ (pow a 2) (pow b 2))) 1)))
(* -1 (* (pow b 3) (- (* -2 (/ (pow a 2) (pow b 2))) 1)))
(* 3 (pow b 2))
(* 3 (pow b 2))
(* 3 (pow b 2))
(* 3 (pow b 2))
(/ (pow b 2) a)
(* (pow b 2) (+ (/ 1 a) (* 12 (/ 1 (* a (pow b 2))))))
(* (pow b 2) (+ (/ 1 a) (* 12 (/ 1 (* a (pow b 2))))))
(* (pow b 2) (+ (/ 1 a) (* 12 (/ 1 (* a (pow b 2))))))
(+ (* 12 (pow b 2)) (pow b 4))
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4)))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(pow b 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(pow 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))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(+ (* 12 (pow b 2)) (pow b 4))
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4)))
(* 12 (pow b 2))
(+ (* 4 (* a (pow b 2))) (* 12 (pow b 2)))
(+ (* 12 (pow b 2)) (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))))
(+ (* 12 (pow b 2)) (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(+ (* 12 (pow b 2)) (pow b 4))
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4)))
(* b (+ 12 (pow b 2)))
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2))))
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2))))
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2))))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(+ (* 12 (pow b 2)) (pow b 4))
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4)))
(* (pow b 2) (+ 12 (pow b 2)))
(+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2))))
(+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2))))
(+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2))))
4
(+ 4 (* -4 a))
(+ 4 (* a (- a 4)))
(+ 4 (* a (- a 4)))
4
(+ 4 (* -4 a))
(+ 4 (* -4 a))
(+ 4 (* -4 a))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(- (* (pow b 2) (+ 12 (pow b 2))) 1)
(- (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(* 3 (pow b 2))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(+ (* 3 (pow b 2)) (* a (+ a (pow b 2))))
(+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2))))
(pow b 3)
(+ (* 2 (* (pow a 2) b)) (pow b 3))
(+ (* 2 (* (pow a 2) b)) (pow b 3))
(+ (* 2 (* (pow a 2) b)) (pow b 3))
(/ (+ 12 (pow b 2)) a)
(/ (+ 12 (pow b 2)) a)
(/ (+ 12 (pow b 2)) a)
(/ (+ 12 (pow b 2)) a)
-1
(- (* 4 (pow a 2)) 1)
(- (* (pow a 2) (+ 4 (* -4 a))) 1)
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(* 4 (* a b))
(* a (+ (* 4 b) (/ (* b (+ 12 (pow b 2))) a)))
(* a (+ (* 4 b) (/ (* b (+ 12 (pow b 2))) a)))
(* a (+ (* 4 b) (/ (* b (+ 12 (pow b 2))) a)))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(* 4 (* a (pow b 2)))
(* a (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a)))
(* a (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a)))
(* a (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a)))
(pow a 2)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(* -4 a)
(* a (- (* 4 (/ 1 a)) 4))
(* a (- (* 4 (/ 1 a)) 4))
(* a (- (* 4 (/ 1 a)) 4))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(* -1 (pow a 3))
(* (pow a 3) (- (/ 1 a) 1))
(* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1))
(* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* 2 b) (/ (pow b 3) (pow a 2))))
(* (pow a 2) (+ (* 2 b) (/ (pow b 3) (pow a 2))))
(* (pow a 2) (+ (* 2 b) (/ (pow b 3) (pow a 2))))
(/ (+ 12 (pow b 2)) a)
(/ (+ 12 (pow b 2)) a)
(/ (+ 12 (pow b 2)) a)
(/ (+ 12 (pow b 2)) a)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4)))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(* 4 (* a b))
(* -1 (* a (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a)))))
(* -1 (* a (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a)))))
(* -1 (* a (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a)))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(* 4 (* a (pow b 2)))
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 12 (pow b 2))) a)))))
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 12 (pow b 2))) a)))))
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 12 (pow b 2))) a)))))
(pow a 2)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(* -4 a)
(* -1 (* a (- 4 (* 4 (/ 1 a)))))
(* -1 (* a (- 4 (* 4 (/ 1 a)))))
(* -1 (* a (- 4 (* 4 (/ 1 a)))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(* -1 (pow a 3))
(* -1 (* (pow a 3) (- 1 (/ 1 a))))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a)))))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a)))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* 2 b) (/ (pow b 3) (pow a 2))))
(* (pow a 2) (+ (* 2 b) (/ (pow b 3) (pow a 2))))
(* (pow a 2) (+ (* 2 b) (/ (pow b 3) (pow a 2))))
(/ (+ 12 (pow b 2)) a)
(/ (+ 12 (pow b 2)) a)
(/ (+ 12 (pow b 2)) a)
(/ (+ 12 (pow b 2)) a)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a))))
Outputs
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a)
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
(fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) (*.f64 b b) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64)))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(fma.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a) a (pow.f64 a #s(literal 4 binary64)))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(fma.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a) a (pow.f64 a #s(literal 4 binary64)))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) (*.f64 b b) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64)))
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a)
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
(fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b)))
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a)
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a))))) (pow a 4)))
(fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a))))) (pow a 4)))
(fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a))))) (pow a 4)))
(fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))))
(* 12 (pow b 2))
(*.f64 #s(literal 12 binary64) (*.f64 b b))
(* 12 (pow b 2))
(*.f64 #s(literal 12 binary64) (*.f64 b b))
(* 12 (pow b 2))
(*.f64 #s(literal 12 binary64) (*.f64 b b))
(* 12 (pow b 2))
(*.f64 #s(literal 12 binary64) (*.f64 b b))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) (*.f64 b b) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64)))
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a)
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
(fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 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)
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
(* a (* b (+ 4 (* 12 (/ 1 a)))))
(*.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) b)
(* b (+ (* a (+ 4 (* 12 (/ 1 a)))) (pow b 2)))
(fma.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) b (pow.f64 b #s(literal 3 binary64)))
(* b (+ (* a (+ 4 (* 12 (/ 1 a)))) (pow b 2)))
(fma.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) b (pow.f64 b #s(literal 3 binary64)))
(* b (+ (* a (+ 4 (* 12 (/ 1 a)))) (pow b 2)))
(fma.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) b (pow.f64 b #s(literal 3 binary64)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) (*.f64 b b) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64)))
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a)
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
(fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b)))
(* (pow b 2) (+ 12 (* 4 a)))
(*.f64 (*.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) b) b)
(* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2))))
(*.f64 (fma.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) b (pow.f64 b #s(literal 3 binary64))) b)
(* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2))))
(*.f64 (fma.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) b (pow.f64 b #s(literal 3 binary64))) b)
(* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2))))
(*.f64 (fma.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) b (pow.f64 b #s(literal 3 binary64))) b)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
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(* 4 (* a (pow b 2)))
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(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 12 (pow b 2))) a)))))
(*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 12 (pow b 2))) a)))))
(*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 12 (pow b 2))) a)))))
(*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)
(pow a 2)
(*.f64 a a)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(*.f64 a (fma.f64 (/.f64 #s(literal -4 binary64) a) a a))
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(*.f64 a (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) a a))
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(*.f64 a (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) a a))
(* -4 a)
(*.f64 #s(literal -4 binary64) a)
(* -1 (* a (- 4 (* 4 (/ 1 a)))))
(*.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a)
(* -1 (* a (- 4 (* 4 (/ 1 a)))))
(*.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a)
(* -1 (* a (- 4 (* 4 (/ 1 a)))))
(*.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a)
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)) 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 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* -1 (pow a 3))
(neg.f64 (pow.f64 a #s(literal 3 binary64)))
(* -1 (* (pow a 3) (- 1 (/ 1 a))))
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) a) #s(literal -1 binary64) #s(literal -1 binary64)) (pow.f64 a #s(literal 3 binary64)))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 b a) b #s(literal 1 binary64)) a)) (neg.f64 (pow.f64 a #s(literal 3 binary64))))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) b) (/.f64 b a) (*.f64 (neg.f64 b) b)) a)) a)) (neg.f64 (pow.f64 a #s(literal 3 binary64))))
(* 2 (* (pow a 2) b))
(*.f64 (*.f64 b (*.f64 a a)) #s(literal 2 binary64))
(* (pow a 2) (+ (* 2 b) (/ (pow b 3) (pow a 2))))
(*.f64 (*.f64 (*.f64 b (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 2 binary64))) a) a)
(* (pow a 2) (+ (* 2 b) (/ (pow b 3) (pow a 2))))
(*.f64 (*.f64 (*.f64 b (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 2 binary64))) a) a)
(* (pow a 2) (+ (* 2 b) (/ (pow b 3) (pow a 2))))
(*.f64 (*.f64 (*.f64 b (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 2 binary64))) a) a)
(/ (+ 12 (pow b 2)) a)
(/.f64 (fma.f64 b b #s(literal 12 binary64)) a)
(/ (+ 12 (pow b 2)) a)
(/.f64 (fma.f64 b b #s(literal 12 binary64)) a)
(/ (+ 12 (pow b 2)) a)
(/.f64 (fma.f64 b b #s(literal 12 binary64)) a)
(/ (+ 12 (pow b 2)) a)
(/.f64 (fma.f64 b b #s(literal 12 binary64)) a)
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) a)) a)) a)) (pow.f64 a #s(literal 4 binary64)))

rewrite197.0ms (2.4%)

Memory
29.8MiB live, 222.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071681
0108675
1530663
24467663
08640615
Stop Event
iter limit
node limit
iter limit
Counts
25 → 310
Calls
Call 1
Inputs
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b)))))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64))
#s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64))))
(fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 #s(literal 12 binary64) (*.f64 b b)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 #s(literal 12 binary64) (*.f64 b b))))
#s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 #s(literal 12 binary64) (*.f64 b b)))
(*.f64 #s(literal 12 binary64) (*.f64 b b))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (*.f64 b b)))
(*.f64 b b)
(*.f64 (*.f64 b b) (*.f64 b b))
(*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)) b)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)) b))
(*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)) b)
(fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)))
(*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) #s(literal -1 binary64))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) #s(literal -1 binary64)))
#s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b)))
(*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b)
(*.f64 #s(literal 3 binary64) (*.f64 b b))
(/.f64 (fma.f64 b b #s(literal 12 binary64)) a)
(fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) #s(literal -1 binary64))
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eval189.0ms (2.3%)

Memory
-24.1MiB live, 257.6MiB allocated
Compiler

Compiled 24 563 to 2 012 computations (91.8% saved)

prune44.0ms (0.5%)

Memory
-7.2MiB live, 119.0MiB allocated
Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New8939902
Fresh6713
Picked325
Done000
Total90218920
Accuracy
100.0%
Counts
920 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.6%
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.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 3 binary64) a))))) #s(literal 1 binary64))
70.5%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64))
70.5%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1 binary64))
68.7%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) (*.f64 b a))) b)) #s(literal 1 binary64))
68.0%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b (+.f64 #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #s(literal 4 binary64))) a)) b)) #s(literal 1 binary64))
36.2%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b a) #s(literal 4 binary64))) b)) #s(literal 1 binary64))
51.4%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 (*.f64 #s(literal 12 binary64) b) b))) #s(literal 1 binary64))
51.4%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 #s(literal 12 binary64) (*.f64 b b)))) #s(literal 1 binary64))
38.7%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 4 binary64)))) #s(literal 1 binary64))
94.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (* 4 (- 1 a))) (*.f64 a a)) #s(literal -1 binary64))))
79.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) #s(approx (+ (* (* a a) (+ (* a a) (* 4 (- 1 a)))) -1) #s(literal -1 binary64))))
83.2%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) (*.f64 b b) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))))
70.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64)))
99.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))))
70.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b #s(literal -1 binary64)))
70.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
48.1%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 b #s(literal 4 binary64)))
47.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 a #s(literal 4 binary64)))
Compiler

Compiled 527 to 390 computations (26% saved)

simplify175.0ms (2.1%)

Memory
-12.3MiB live, 265.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a))
cost-diff0
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.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 3 binary64) a))))) #s(literal 1 binary64))
cost-diff128
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
cost-diff128
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.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 3 binary64) a)))))
cost-diff0
#s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b (+.f64 #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #s(literal 4 binary64))) a))
cost-diff0
(*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b (+.f64 #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #s(literal 4 binary64))) a)) b)
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b (+.f64 #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #s(literal 4 binary64))) a)) b))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b (+.f64 #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #s(literal 4 binary64))) a)) b)) #s(literal 1 binary64))
cost-diff0
(fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))
cost-diff0
(*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b)
cost-diff0
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b #s(literal -1 binary64))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b #s(literal -1 binary64)))
cost-diff0
(*.f64 (*.f64 #s(literal 12 binary64) b) b)
cost-diff0
#s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 (*.f64 #s(literal 12 binary64) b) b))
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 (*.f64 #s(literal 12 binary64) b) b)))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 (*.f64 #s(literal 12 binary64) b) b))) #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b)
cost-diff0
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64)))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))))
cost-diff320
(fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077838
0120838
1228838
2494838
31255828
43744828
55209828
08267788
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64)))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b)
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64)))
(fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64))
#s(literal 2 binary64)
a
#s(literal 4 binary64)
(fma.f64 b b #s(literal 12 binary64))
b
#s(literal 12 binary64)
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a))
(-.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
(*.f64 a a)
#s(literal -1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 (*.f64 #s(literal 12 binary64) b) b))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 (*.f64 #s(literal 12 binary64) b) b)))
#s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 (*.f64 #s(literal 12 binary64) b) b))
(*.f64 (*.f64 #s(literal 12 binary64) b) b)
(*.f64 #s(literal 12 binary64) b)
#s(literal 12 binary64)
b
#s(literal 1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b #s(literal -1 binary64)))
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b #s(literal -1 binary64))
(*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b)
(fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))
b
(fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))
a
#s(literal 4 binary64)
#s(literal 12 binary64)
#s(literal -1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b (+.f64 #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #s(literal 4 binary64))) a)) b)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b (+.f64 #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #s(literal 4 binary64))) a)) b))
(*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b (+.f64 #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #s(literal 4 binary64))) a)) b)
#s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b (+.f64 #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #s(literal 4 binary64))) a))
(*.f64 (*.f64 b (+.f64 #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #s(literal 4 binary64))) a)
(*.f64 b (+.f64 #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #s(literal 4 binary64)))
b
(+.f64 #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #s(literal 4 binary64))
#s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a))
(/.f64 (*.f64 b b) a)
(*.f64 b b)
a
#s(literal 4 binary64)
#s(literal 1 binary64)
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.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 3 binary64) a))))) #s(literal 1 binary64))
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.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 3 binary64) a)))))
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a))
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a))
(*.f64 b b)
b
#s(literal 2 binary64)
(*.f64 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 3 binary64) a))))
#s(literal 4 binary64)
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a))
(-.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
(+.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 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 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) (fma.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 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 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b)
(*.f64 (fma.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b)
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64)))
(fma.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64)))
(fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64))
(fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))
#s(literal 2 binary64)
a
#s(literal 4 binary64)
(fma.f64 b b #s(literal 12 binary64))
b
#s(literal 12 binary64)
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #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 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a))
(fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64))
(-.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
(*.f64 a a)
#s(literal -1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 (*.f64 #s(literal 12 binary64) b) b))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 (*.f64 #s(literal 12 binary64) b) b)))
#s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 (*.f64 #s(literal 12 binary64) b) b))
(*.f64 (*.f64 #s(literal 12 binary64) b) b)
(*.f64 #s(literal 12 binary64) b)
#s(literal 12 binary64)
b
#s(literal 1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b #s(literal -1 binary64)))
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b #s(literal -1 binary64))
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b #s(literal -1 binary64))
(*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b)
(*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b)
(fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))
(fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))
b
(fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))
(fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))
a
#s(literal 4 binary64)
#s(literal 12 binary64)
#s(literal -1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b (+.f64 #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #s(literal 4 binary64))) a)) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b a) (+.f64 #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #s(literal 4 binary64)))) b)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b (+.f64 #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #s(literal 4 binary64))) a)) b))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b a) (+.f64 #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #s(literal 4 binary64)))) b))
(*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b (+.f64 #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #s(literal 4 binary64))) a)) b)
(*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b a) (+.f64 #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #s(literal 4 binary64)))) b)
#s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b (+.f64 #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #s(literal 4 binary64))) a))
#s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b a) (+.f64 #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #s(literal 4 binary64))))
(*.f64 (*.f64 b (+.f64 #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #s(literal 4 binary64))) a)
(*.f64 (*.f64 b a) (+.f64 #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #s(literal 4 binary64)))
(*.f64 b (+.f64 #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #s(literal 4 binary64)))
(*.f64 (+.f64 #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #s(literal 4 binary64)) b)
b
(+.f64 #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #s(literal 4 binary64))
#s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a))
(/.f64 (*.f64 b b) a)
(*.f64 b b)
a
#s(literal 4 binary64)
#s(literal 1 binary64)
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.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 3 binary64) a))))) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (+.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a))))
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.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 3 binary64) a)))))
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (fma.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a))))
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a))
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a))
(*.f64 b b)
b
#s(literal 2 binary64)
(*.f64 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 3 binary64) a))))
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a))
#s(literal 4 binary64)
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
(fma.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a))
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)
(-.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)
(+.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)

localize169.0ms (2.1%)

Memory
15.2MiB live, 298.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy3.9141784815142278
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
accuracy8.542921274094736
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
accuracy12.152343750000002
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.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 3 binary64) a)))))
accuracy13.646314119441366
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a))
accuracy2.89584675193213
(*.f64 (*.f64 b (+.f64 #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #s(literal 4 binary64))) a)
accuracy9.424078772739893
(/.f64 (*.f64 b b) a)
accuracy25.407173321209722
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b (+.f64 #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #s(literal 4 binary64))) a)) b))
accuracy29.39322381504601
#s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a))
accuracy0
(fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))
accuracy0.04296875
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b #s(literal -1 binary64))
accuracy0.09765625
(*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b)
accuracy18.605728569988212
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b #s(literal -1 binary64)))
accuracy0
(*.f64 #s(literal 12 binary64) b)
accuracy0.16015625
(*.f64 (*.f64 #s(literal 12 binary64) b) b)
accuracy7.6919631722759165
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 (*.f64 #s(literal 12 binary64) b) b)))
accuracy31.703366506354083
#s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 (*.f64 #s(literal 12 binary64) b) b))
accuracy0.0078125
(fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a))
accuracy0.01953125
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64)))
accuracy0.08041000976844202
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))
accuracy2.9155775095251437
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b)
Samples
112.0ms236×0valid
9.0ms2valid
8.0ms11×1valid
Compiler

Compiled 601 to 58 computations (90.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 102.0ms
ival-mult: 63.0ms (61.6% of total)
ival-add: 22.0ms (21.5% of total)
ival-div: 4.0ms (3.9% of total)
ival-pow: 4.0ms (3.9% of total)
adjust: 3.0ms (2.9% of total)
ival-sub: 3.0ms (2.9% of total)
ival-pow2: 3.0ms (2.9% of total)
exact: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series50.0ms (0.6%)

Memory
-14.5MiB live, 105.9MiB allocated
Counts
27 → 588
Calls
Call 1
Inputs
#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (patch (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))) (patch (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) (patch (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 (*.f64 #s(literal 12 binary64) b) b))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 (*.f64 #s(literal 12 binary64) b) b))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 (*.f64 #s(literal 12 binary64) b) b))) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 (*.f64 #s(literal 12 binary64) b) b))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 (*.f64 #s(literal 12 binary64) b) b)) (patch #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 (*.f64 #s(literal 12 binary64) b) b)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 12 binary64) b) b) (patch (*.f64 (*.f64 #s(literal 12 binary64) b) b) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b #s(literal -1 binary64)) (patch (fma.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) (patch (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) #<representation binary64>) () ())
#s(alt (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) (patch (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b (+.f64 #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #s(literal 4 binary64))) a)) b)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b (+.f64 #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #s(literal 4 binary64))) a)) b)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b (+.f64 #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #s(literal 4 binary64))) a)) b)) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b (+.f64 #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #s(literal 4 binary64))) a)) b)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b (+.f64 #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #s(literal 4 binary64))) a)) b) (patch (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b (+.f64 #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #s(literal 4 binary64))) a)) b) #<representation binary64>) () ())
#s(alt #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b (+.f64 #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #s(literal 4 binary64))) a)) (patch #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b (+.f64 #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #s(literal 4 binary64))) a)) #<representation binary64>) () ())
#s(alt (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.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 3 binary64) a))))) (patch (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.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 3 binary64) a))))) #<representation binary64>) () ())
#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.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 3 binary64) a))))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.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 3 binary64) a))))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (patch #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 12 binary64) b) (patch (*.f64 #s(literal 12 binary64) b) #<representation binary64>) () ())
#s(alt (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) (patch (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) (patch #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 b b) a) (patch (/.f64 (*.f64 b b) a) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 b (+.f64 #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #s(literal 4 binary64))) a) (patch (*.f64 (*.f64 b (+.f64 #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #s(literal 4 binary64))) a) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())
Outputs
#s(alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (/ (+ 12 (pow b 2)) a) (taylor -inf a) (#s(alt #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) (patch #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 12 (pow b 2)) a) (taylor -inf a) (#s(alt #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) (patch #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 12 (pow b 2)) a) (taylor -inf a) (#s(alt #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) (patch #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 12 (pow b 2)) a) (taylor -inf a) (#s(alt #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) (patch #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 2) a) (taylor -inf a) (#s(alt (/.f64 (*.f64 b b) a) (patch (/.f64 (*.f64 b b) a) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 2) a) (taylor -inf a) (#s(alt (/.f64 (*.f64 b b) a) (patch (/.f64 (*.f64 b b) a) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 2) a) (taylor -inf a) (#s(alt (/.f64 (*.f64 b b) a) (patch (/.f64 (*.f64 b b) a) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 2) a) (taylor -inf a) (#s(alt (/.f64 (*.f64 b b) a) (patch (/.f64 (*.f64 b b) a) #<representation binary64>) () ())) ())
#s(alt (* 4 (* a b)) (taylor -inf a) (#s(alt (*.f64 (*.f64 b (+.f64 #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #s(literal 4 binary64))) a) (patch (*.f64 (*.f64 b (+.f64 #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #s(literal 4 binary64))) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))))) (taylor -inf a) (#s(alt (*.f64 (*.f64 b (+.f64 #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #s(literal 4 binary64))) a) (patch (*.f64 (*.f64 b (+.f64 #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #s(literal 4 binary64))) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))))) (taylor -inf a) (#s(alt (*.f64 (*.f64 b (+.f64 #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #s(literal 4 binary64))) a) (patch (*.f64 (*.f64 b (+.f64 #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #s(literal 4 binary64))) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))))) (taylor -inf a) (#s(alt (*.f64 (*.f64 b (+.f64 #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #s(literal 4 binary64))) a) (patch (*.f64 (*.f64 b (+.f64 #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #s(literal 4 binary64))) a) #<representation binary64>) () ())) ())
#s(alt (* a (pow b 2)) (taylor -inf a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) (taylor -inf a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) (taylor -inf a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) (taylor -inf a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
6.0ms
b
@-inf
((+ (* (- 1 a) 4) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) b) (+ (* (+ (* (- 1 a) 4) (* a a)) (* a a)) -1)) (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (* (* 12 b) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* b b) (+ (* a 4) 12)) b) b) -1) (* (+ (* b b) (+ (* a 4) 12)) b) (+ (* b b) (+ (* a 4) 12)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (* (+ (* b b) (+ (* a 4) 12)) b) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow (+ (* a a) (* b b)) 2) (+ (* (+ (* (- 1 a) 4) (* a a)) (* a a)) -1) (* 12 b) (+ (* a 4) 12) (/ (+ (* b b) 12) a) (/ (* b b) a) (* (* b (+ (/ (+ (* b b) 12) a) 4)) a) (* (* b b) (+ 3 a)))
4.0ms
b
@inf
((+ (* (- 1 a) 4) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) b) (+ (* (+ (* (- 1 a) 4) (* a a)) (* a a)) -1)) (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (* (* 12 b) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* b b) (+ (* a 4) 12)) b) b) -1) (* (+ (* b b) (+ (* a 4) 12)) b) (+ (* b b) (+ (* a 4) 12)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (* (+ (* b b) (+ (* a 4) 12)) b) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow (+ (* a a) (* b b)) 2) (+ (* (+ (* (- 1 a) 4) (* a a)) (* a a)) -1) (* 12 b) (+ (* a 4) 12) (/ (+ (* b b) 12) a) (/ (* b b) a) (* (* b (+ (/ (+ (* b b) 12) a) 4)) a) (* (* b b) (+ 3 a)))
3.0ms
b
@0
((+ (* (- 1 a) 4) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) b) (+ (* (+ (* (- 1 a) 4) (* a a)) (* a a)) -1)) (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (* (* 12 b) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* b b) (+ (* a 4) 12)) b) b) -1) (* (+ (* b b) (+ (* a 4) 12)) b) (+ (* b b) (+ (* a 4) 12)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (* (+ (* b b) (+ (* a 4) 12)) b) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow (+ (* a a) (* b b)) 2) (+ (* (+ (* (- 1 a) 4) (* a a)) (* a a)) -1) (* 12 b) (+ (* a 4) 12) (/ (+ (* b b) 12) a) (/ (* b b) a) (* (* b (+ (/ (+ (* b b) 12) a) 4)) a) (* (* b b) (+ 3 a)))
3.0ms
a
@-inf
((+ (* (- 1 a) 4) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) b) (+ (* (+ (* (- 1 a) 4) (* a a)) (* a a)) -1)) (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (* (* 12 b) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* b b) (+ (* a 4) 12)) b) b) -1) (* (+ (* b b) (+ (* a 4) 12)) b) (+ (* b b) (+ (* a 4) 12)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (* (+ (* b b) (+ (* a 4) 12)) b) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow (+ (* a a) (* b b)) 2) (+ (* (+ (* (- 1 a) 4) (* a a)) (* a a)) -1) (* 12 b) (+ (* a 4) 12) (/ (+ (* b b) 12) a) (/ (* b b) a) (* (* b (+ (/ (+ (* b b) 12) a) 4)) a) (* (* b b) (+ 3 a)))
2.0ms
a
@inf
((+ (* (- 1 a) 4) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) b) (+ (* (+ (* (- 1 a) 4) (* a a)) (* a a)) -1)) (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (* (* 12 b) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* b b) (+ (* a 4) 12)) b) b) -1) (* (+ (* b b) (+ (* a 4) 12)) b) (+ (* b b) (+ (* a 4) 12)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (* (+ (* b b) (+ (* a 4) 12)) b) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow (+ (* a a) (* b b)) 2) (+ (* (+ (* (- 1 a) 4) (* a a)) (* a a)) -1) (* 12 b) (+ (* a 4) 12) (/ (+ (* b b) 12) a) (/ (* b b) a) (* (* b (+ (/ (+ (* b b) 12) a) 4)) a) (* (* b b) (+ 3 a)))

simplify205.0ms (2.5%)

Memory
0.6MiB live, 280.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03769690
112309390
238689154
081138340
Stop Event
iter limit
node limit
Counts
588 → 588
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 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(- (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) 1)
(- (+ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1)
(- (+ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1)
(- (+ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1)
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))
(* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))
(* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a))))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a))))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a))))) (pow a 4)))
(* 12 (pow b 2))
(* 12 (pow b 2))
(* 12 (pow b 2))
(* 12 (pow b 2))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
-1
(- (* (pow b 2) (+ 12 (* 4 a))) 1)
(- (* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2)))) 1)
(- (* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2)))) 1)
(* b (+ 12 (* 4 a)))
(* b (+ 12 (+ (* 4 a) (pow b 2))))
(* b (+ 12 (+ (* 4 a) (pow b 2))))
(* b (+ 12 (+ (* 4 a) (pow b 2))))
(+ 12 (* 4 a))
(+ 12 (+ (* 4 a) (pow b 2)))
(+ 12 (+ (* 4 a) (pow b 2)))
(+ 12 (+ (* 4 a) (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 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(* (pow b 2) (+ 12 (* 4 a)))
(* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2))))
(* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2))))
(* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2))))
(* b (+ 12 (* 4 a)))
(* b (+ 12 (+ (* 4 a) (pow b 2))))
(* b (+ 12 (+ (* 4 a) (pow b 2))))
(* b (+ 12 (+ (* 4 a) (pow b 2))))
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(* (pow a 2) (- 1 a))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(pow 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))
(* 12 b)
(* 12 b)
(* 12 b)
(* 12 b)
(/ 12 a)
(+ (* 12 (/ 1 a)) (/ (pow b 2) a))
(+ (* 12 (/ 1 a)) (/ (pow b 2) a))
(+ (* 12 (/ 1 a)) (/ (pow b 2) a))
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(* a (* b (+ 4 (* 12 (/ 1 a)))))
(* b (+ (* a (+ 4 (* 12 (/ 1 a)))) (pow b 2)))
(* b (+ (* a (+ 4 (* 12 (/ 1 a)))) (pow b 2)))
(* b (+ (* a (+ 4 (* 12 (/ 1 a)))) (pow b 2)))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (pow b 4))))) (/ 1 (pow b 4))))
(pow b 3)
(* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(* (pow b 2) (+ 12 (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 2))) (+ (* a (+ 4 (* 2 a))) (/ (pow a 4) (pow b 2))))))
(* (pow b 2) (+ 12 (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 2))) (+ (* a (+ 4 (* 2 a))) (/ (pow a 4) (pow b 2))))))
(* (pow b 2) (+ 12 (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 2))) (+ (* a (+ 4 (* 2 a))) (/ (pow a 4) (pow b 2))))))
(* 12 (pow b 2))
(* 12 (pow b 2))
(* 12 (pow b 2))
(* 12 (pow b 2))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))
(pow b 3)
(* (pow b 3) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(* (pow b 3) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(* (pow b 3) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(pow b 2)
(* (pow b 2) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(* (pow b 2) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(* (pow b 2) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(pow b 3)
(* (pow b 3) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(* (pow b 3) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(* (pow b 3) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* 12 b)
(* 12 b)
(* 12 b)
(* 12 b)
(/ (pow b 2) a)
(* (pow b 2) (+ (/ 1 a) (* 12 (/ 1 (* a (pow b 2))))))
(* (pow b 2) (+ (/ 1 a) (* 12 (/ 1 (* a (pow b 2))))))
(* (pow b 2) (+ (/ 1 a) (* 12 (/ 1 (* a (pow b 2))))))
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(pow b 3)
(* (pow b 3) (+ 1 (/ (* a (+ 4 (* 12 (/ 1 a)))) (pow b 2))))
(* (pow b 3) (+ 1 (/ (* a (+ 4 (* 12 (/ 1 a)))) (pow b 2))))
(* (pow b 3) (+ 1 (/ (* a (+ 4 (* 12 (/ 1 a)))) (pow b 2))))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (pow b 4))))) (/ 1 (pow b 4))))
(pow b 3)
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) 1)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) 1)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) 1)))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(* (pow b 2) (+ 12 (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 2))) (+ (* a (+ 4 (* 2 a))) (/ (pow a 4) (pow b 2))))))
(* (pow b 2) (+ 12 (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 2))) (+ (* a (+ 4 (* 2 a))) (/ (pow a 4) (pow b 2))))))
(* (pow b 2) (+ 12 (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 2))) (+ (* a (+ 4 (* 2 a))) (/ (pow a 4) (pow b 2))))))
(* 12 (pow b 2))
(* 12 (pow b 2))
(* 12 (pow b 2))
(* 12 (pow b 2))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))
(pow b 3)
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* 4 a)) (pow b 2))) 1)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* 4 a)) (pow b 2))) 1)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* 4 a)) (pow b 2))) 1)))
(pow b 2)
(* (pow b 2) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(* (pow b 2) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(* (pow b 2) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(pow b 3)
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* 4 a)) (pow b 2))) 1)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* 4 a)) (pow b 2))) 1)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* 4 a)) (pow b 2))) 1)))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* 12 b)
(* 12 b)
(* 12 b)
(* 12 b)
(/ (pow b 2) a)
(* (pow b 2) (+ (/ 1 a) (* 12 (/ 1 (* a (pow b 2))))))
(* (pow b 2) (+ (/ 1 a) (* 12 (/ 1 (* a (pow b 2))))))
(* (pow b 2) (+ (/ 1 a) (* 12 (/ 1 (* a (pow b 2))))))
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(pow b 3)
(* -1 (* (pow b 3) (- (* -1 (/ (* a (+ 4 (* 12 (/ 1 a)))) (pow b 2))) 1)))
(* -1 (* (pow b 3) (- (* -1 (/ (* a (+ 4 (* 12 (/ 1 a)))) (pow b 2))) 1)))
(* -1 (* (pow b 3) (- (* -1 (/ (* a (+ 4 (* 12 (/ 1 a)))) (pow b 2))) 1)))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
4
(+ 4 (* -4 a))
(+ 4 (* a (- a 4)))
(+ 4 (* a (- a 4)))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(- (* (pow b 2) (+ 12 (pow b 2))) 1)
(- (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(* b (+ 12 (pow b 2)))
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2))))
(+ (* a (+ (* 2 (* a b)) (* 4 b))) (* b (+ 12 (pow b 2))))
(+ (* a (+ (* 2 (* a b)) (* 4 b))) (* b (+ 12 (pow b 2))))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(+ (* 12 (pow b 2)) (pow b 4))
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4)))
(* 12 (pow b 2))
(+ (* 4 (* a (pow b 2))) (* 12 (pow b 2)))
(+ (* 12 (pow b 2)) (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))))
(+ (* 12 (pow b 2)) (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(- (* (pow b 2) (+ 12 (pow b 2))) 1)
(- (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(- (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(- (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(* b (+ 12 (pow b 2)))
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2))))
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2))))
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2))))
(+ 12 (pow b 2))
(+ 12 (+ (* 4 a) (pow b 2)))
(+ 12 (+ (* 4 a) (pow b 2)))
(+ 12 (+ (* 4 a) (pow b 2)))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(+ (* 12 (pow b 2)) (pow b 4))
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4)))
(* (pow b 2) (+ 12 (pow b 2)))
(+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2))))
(+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2))))
(+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2))))
(* b (+ 12 (pow b 2)))
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2))))
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2))))
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2))))
(+ (* 12 (pow b 2)) (pow b 4))
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4)))
(* 3 (pow b 2))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(+ (* 3 (pow b 2)) (* a (+ a (pow b 2))))
(+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2))))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(pow 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))
-1
(- (* 4 (pow a 2)) 1)
(- (* (pow a 2) (+ 4 (* -4 a))) 1)
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1)
12
(+ 12 (* 4 a))
(+ 12 (* 4 a))
(+ 12 (* 4 a))
(/ (+ 12 (pow b 2)) a)
(/ (+ 12 (pow b 2)) a)
(/ (+ 12 (pow b 2)) a)
(/ (+ 12 (pow b 2)) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(* b (+ 12 (pow b 2)))
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2))))
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2))))
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2))))
(* 3 (pow b 2))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(pow a 2)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* 2 b) (* 4 (/ b a))))
(* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (/ (* b (+ 12 (pow b 2))) (pow a 2)))))
(* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (/ (* b (+ 12 (pow b 2))) (pow a 2)))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(* 4 (* a (pow b 2)))
(* a (- (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a)) (/ 1 a)))
(* a (- (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a)) (/ 1 a)))
(* a (- (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a)) (/ 1 a)))
(* 4 (* a b))
(* a (+ (* 4 b) (/ (* b (+ 12 (pow b 2))) a)))
(* a (+ (* 4 b) (/ (* b (+ 12 (pow b 2))) a)))
(* a (+ (* 4 b) (/ (* b (+ 12 (pow b 2))) a)))
(* 4 a)
(* a (+ 4 (+ (* 12 (/ 1 a)) (/ (pow b 2) a))))
(* a (+ 4 (+ (* 12 (/ 1 a)) (/ (pow b 2) a))))
(* a (+ 4 (+ (* 12 (/ 1 a)) (/ (pow b 2) a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(* 4 (* a (pow b 2)))
(* a (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a)))
(* a (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a)))
(* a (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a)))
(* 4 (* a b))
(* a (+ (* 4 b) (/ (* b (+ 12 (pow b 2))) a)))
(* a (+ (* 4 b) (/ (* b (+ 12 (pow b 2))) a)))
(* a (+ (* 4 b) (/ (* b (+ 12 (pow b 2))) a)))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(* -1 (pow a 3))
(* (pow a 3) (- (/ 1 a) 1))
(* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1))
(* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (+ 1 (* 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 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4)))))
(* 4 a)
(* a (+ 4 (* 12 (/ 1 a))))
(* a (+ 4 (* 12 (/ 1 a))))
(* a (+ 4 (* 12 (/ 1 a))))
(/ (+ 12 (pow b 2)) a)
(/ (+ 12 (pow b 2)) a)
(/ (+ 12 (pow b 2)) a)
(/ (+ 12 (pow b 2)) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(* 4 (* a b))
(* a (+ (* 4 b) (/ (* b (+ 12 (pow b 2))) a)))
(* a (+ (* 4 b) (/ (* b (+ 12 (pow b 2))) a)))
(* a (+ (* 4 b) (/ (* b (+ 12 (pow b 2))) a)))
(* a (pow b 2))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(pow a 2)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* 2 b) (* 4 (/ b a))))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))) a)) (* 2 b)))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))) a)) (* 2 b)))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(* 4 (* a (pow b 2)))
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (- (* (pow b 2) (+ 12 (pow b 2))) 1) a)))))
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (- (* (pow b 2) (+ 12 (pow b 2))) 1) a)))))
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (- (* (pow b 2) (+ 12 (pow b 2))) 1) a)))))
(* 4 (* a b))
(* -1 (* a (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a)))))
(* -1 (* a (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a)))))
(* -1 (* a (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a)))))
(* 4 a)
(* -1 (* a (- (* -1 (/ (+ 12 (pow b 2)) a)) 4)))
(* -1 (* a (- (* -1 (/ (+ 12 (pow b 2)) a)) 4)))
(* -1 (* a (- (* -1 (/ (+ 12 (pow b 2)) a)) 4)))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(* 4 (* a (pow b 2)))
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 12 (pow b 2))) a)))))
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 12 (pow b 2))) a)))))
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 12 (pow b 2))) a)))))
(* 4 (* a b))
(* -1 (* a (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a)))))
(* -1 (* a (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a)))))
(* -1 (* a (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a)))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(* -1 (pow a 3))
(* -1 (* (pow a 3) (- 1 (/ 1 a))))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a)))))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a)))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(pow a 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 (/ (- 4 (* 4 (/ 1 a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a))))
(* 4 a)
(* a (+ 4 (* 12 (/ 1 a))))
(* a (+ 4 (* 12 (/ 1 a))))
(* a (+ 4 (* 12 (/ 1 a))))
(/ (+ 12 (pow b 2)) a)
(/ (+ 12 (pow b 2)) a)
(/ (+ 12 (pow b 2)) a)
(/ (+ 12 (pow b 2)) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(* 4 (* a b))
(* -1 (* a (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a)))))
(* -1 (* a (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a)))))
(* -1 (* a (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a)))))
(* a (pow b 2))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
Outputs
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b #s(literal -1 binary64)))
(- (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) 1)
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))
(- (+ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1)
(fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
(- (+ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1)
(fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b #s(literal -1 binary64)))
(- (+ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1)
(fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b #s(literal -1 binary64)))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b)
(* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))
(*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b)
(* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))
(*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b)
(* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))
(*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b #s(literal -1 binary64)))
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a)
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
(fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a (*.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a (*.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b))
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a)
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a))))) (pow a 4)))
(fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a))))) (pow a 4)))
(fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a))))) (pow a 4)))
(fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b))
(* 12 (pow b 2))
(*.f64 #s(literal 12 binary64) (*.f64 b b))
(* 12 (pow b 2))
(*.f64 #s(literal 12 binary64) (*.f64 b b))
(* 12 (pow b 2))
(*.f64 #s(literal 12 binary64) (*.f64 b b))
(* 12 (pow b 2))
(*.f64 #s(literal 12 binary64) (*.f64 b b))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (* (pow b 2) (+ 12 (* 4 a))) 1)
(fma.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64))
(- (* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2)))) 1)
(fma.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) (*.f64 b b) #s(literal -1 binary64))
(- (* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2)))) 1)
(fma.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) (*.f64 b b) #s(literal -1 binary64))
(* b (+ 12 (* 4 a)))
(*.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) b)
(* b (+ 12 (+ (* 4 a) (pow b 2))))
(*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b)
(* b (+ 12 (+ (* 4 a) (pow b 2))))
(*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b)
(* b (+ 12 (+ (* 4 a) (pow b 2))))
(*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b)
(+ 12 (* 4 a))
(fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))
(+ 12 (+ (* 4 a) (pow b 2)))
(fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))
(+ 12 (+ (* 4 a) (pow b 2)))
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(pow a 4)
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(* 4 (* a b))
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(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64)))
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(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
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(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
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rewrite236.0ms (2.9%)

Memory
32.0MiB live, 152.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077690
0120690
1526687
24306687
08175646
Stop Event
iter limit
node limit
iter limit
Counts
27 → 375
Calls
Call 1
Inputs
(fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64)))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 (*.f64 #s(literal 12 binary64) b) b))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 (*.f64 #s(literal 12 binary64) b) b)))
#s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 (*.f64 #s(literal 12 binary64) b) b))
(*.f64 (*.f64 #s(literal 12 binary64) b) b)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b #s(literal -1 binary64)))
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b #s(literal -1 binary64))
(*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b)
(fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b (+.f64 #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #s(literal 4 binary64))) a)) b)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b (+.f64 #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #s(literal 4 binary64))) a)) b))
(*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b (+.f64 #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #s(literal 4 binary64))) a)) b)
#s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b (+.f64 #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #s(literal 4 binary64))) a))
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.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 3 binary64) a)))))
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.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 3 binary64) a))))) #s(literal 1 binary64))
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a))
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))
(*.f64 #s(literal 12 binary64) b)
(fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))
#s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a))
(/.f64 (*.f64 b b) a)
(*.f64 (*.f64 b (+.f64 #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #s(literal 4 binary64))) a)
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
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eval205.0ms (2.5%)

Memory
8.8MiB live, 161.8MiB allocated
Compiler

Compiled 27 154 to 2 326 computations (91.4% saved)

prune128.0ms (1.6%)

Memory
-25.8MiB live, 89.7MiB allocated
Pruning

20 alts after pruning (17 fresh and 3 done)

PrunedKeptTotal
New95112963
Fresh6511
Picked325
Done112
Total96120981
Accuracy
100.0%
Counts
981 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.9%
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)))) #s(literal 1 binary64))
70.5%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64))
68.7%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (+.f64 #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #s(literal 4 binary64)) (*.f64 b a))) b)) #s(literal 1 binary64))
51.4%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 (*.f64 #s(literal 12 binary64) b) b))) #s(literal 1 binary64))
51.4%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 #s(literal 12 binary64) (*.f64 b b)))) #s(literal 1 binary64))
79.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) #s(approx (+ (* (* a a) (+ (* a a) (* 4 (- 1 a)))) -1) #s(literal -1 binary64))))
70.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64)))
70.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)))
99.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))))
70.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b #s(literal -1 binary64)))
70.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(approx (+ (* a 4) 12) (*.f64 a #s(literal 4 binary64)))) b) b #s(literal -1 binary64)))
70.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* a 4) 12)) (*.f64 b b)) b) b #s(literal -1 binary64)))
36.2%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* a 4) 12)) (*.f64 a #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
79.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (*.f64 (*.f64 b a) a) #s(literal 2 binary64))) b (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))))
68.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)) b #s(literal -1 binary64)))
48.1%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 b #s(literal 4 binary64)))
47.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 a #s(literal 4 binary64)))
67.3%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* a 4) 12)) b) b) -1) (fma.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a #s(literal -1 binary64))))
16.3%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* a 4) 12)) b) b) -1) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 4 binary64))))
24.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* a 4) 12)) b) b) -1) #s(literal -1 binary64)))
Compiler

Compiled 1 134 to 421 computations (62.9% saved)

regimes93.0ms (1.1%)

Memory
-8.9MiB live, 76.6MiB allocated
Counts
49 → 1
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* a 4) 12)) b) b) -1) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 #s(literal 12 binary64) (*.f64 b b)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 (*.f64 #s(literal 12 binary64) b) b))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* a 4) 12)) b) b) -1) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 4 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* a 4) 12)) (*.f64 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) (+ 3 a))))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* a 4) 12)) (*.f64 b b)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b a) #s(literal 4 binary64))) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(approx (+ (* a 4) 12) (*.f64 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) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) #s(approx (+ (* (* a a) (+ (* a a) (* 4 (- 1 a)))) -1) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* a 4) 12)) b) b) -1) (fma.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) 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) (+ 3 a))))) 1) (fma.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)) b #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b (+.f64 #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #s(literal 4 binary64))) a)) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (+.f64 #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #s(literal 4 binary64)) (*.f64 b a))) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) (*.f64 b a))) b)) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (*.f64 a #s(literal 4 binary64))) a (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (* 4 (- 1 a))) (*.f64 a a)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (*.f64 (*.f64 b a) a) #s(literal 2 binary64))) b (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) (*.f64 b b) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b)))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.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 3 binary64) a))))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 a #s(literal 4 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 b #s(literal 4 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 b #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) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64))
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64))
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))))
Calls

5 calls:

27.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
24.0ms
a
14.0ms
b
13.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
13.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
99.9%1a
99.9%1b
99.9%1(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
99.9%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
99.9%1(*.f64 b b)
Compiler

Compiled 61 to 42 computations (31.1% saved)

regimes64.0ms (0.8%)

Memory
20.2MiB live, 59.8MiB allocated
Counts
34 → 1
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* a 4) 12)) b) b) -1) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 #s(literal 12 binary64) (*.f64 b b)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 (*.f64 #s(literal 12 binary64) b) b))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* a 4) 12)) b) b) -1) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 4 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* a 4) 12)) (*.f64 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) (+ 3 a))))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* a 4) 12)) (*.f64 b b)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b a) #s(literal 4 binary64))) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(approx (+ (* a 4) 12) (*.f64 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) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) #s(approx (+ (* (* a a) (+ (* a a) (* 4 (- 1 a)))) -1) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* a 4) 12)) b) b) -1) (fma.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) 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) (+ 3 a))))) 1) (fma.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)) b #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b (+.f64 #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #s(literal 4 binary64))) a)) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (+.f64 #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #s(literal 4 binary64)) (*.f64 b a))) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) (*.f64 b a))) b)) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (*.f64 a #s(literal 4 binary64))) a (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (* 4 (- 1 a))) (*.f64 a a)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (*.f64 (*.f64 b a) a) #s(literal 2 binary64))) b (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) (*.f64 b b) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)))) #s(literal 1 binary64))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))))
Calls

5 calls:

26.0ms
b
10.0ms
a
9.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
9.0ms
(*.f64 b b)
8.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
99.5%1a
99.5%1b
99.5%1(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
99.5%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
99.5%1(*.f64 b b)
Compiler

Compiled 61 to 42 computations (31.1% saved)

regimes51.0ms (0.6%)

Memory
2.4MiB live, 42.0MiB allocated
Counts
26 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* a 4) 12)) b) b) -1) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 #s(literal 12 binary64) (*.f64 b b)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 (*.f64 #s(literal 12 binary64) b) b))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* a 4) 12)) b) b) -1) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 4 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* a 4) 12)) (*.f64 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) (+ 3 a))))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* a 4) 12)) (*.f64 b b)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b a) #s(literal 4 binary64))) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(approx (+ (* a 4) 12) (*.f64 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) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) #s(approx (+ (* (* a a) (+ (* a a) (* 4 (- 1 a)))) -1) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* a 4) 12)) b) b) -1) (fma.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) 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) (+ 3 a))))) 1) (fma.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)) b #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b (+.f64 #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #s(literal 4 binary64))) a)) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (+.f64 #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #s(literal 4 binary64)) (*.f64 b a))) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) (*.f64 b a))) b)) #s(literal 1 binary64))
Outputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) #s(approx (+ (* (* a a) (+ (* a a) (* 4 (- 1 a)))) -1) #s(literal -1 binary64))))
Calls

5 calls:

20.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
8.0ms
b
8.0ms
a
7.0ms
(*.f64 b b)
7.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
94.6%3a
99.8%2b
84.5%3(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
84.5%3(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
99.8%2(*.f64 b b)
Compiler

Compiled 61 to 42 computations (31.1% saved)

regimes49.0ms (0.6%)

Memory
-25.8MiB live, 15.4MiB allocated
Counts
18 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* a 4) 12)) b) b) -1) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 #s(literal 12 binary64) (*.f64 b b)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 (*.f64 #s(literal 12 binary64) b) b))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* a 4) 12)) b) b) -1) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 4 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* a 4) 12)) (*.f64 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) (+ 3 a))))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* a 4) 12)) (*.f64 b b)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b a) #s(literal 4 binary64))) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(approx (+ (* a 4) 12) (*.f64 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) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64))
Outputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(approx (+ (* a 4) 12) (*.f64 a #s(literal 4 binary64)))) b) b #s(literal -1 binary64)))
Calls

2 calls:

43.0ms
b
5.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
96.6%2b
96.6%2(*.f64 b b)
Compiler

Compiled 4 to 5 computations (-25% saved)

regimes12.0ms (0.1%)

Memory
14.1MiB live, 14.1MiB allocated
Counts
17 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* a 4) 12)) b) b) -1) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 #s(literal 12 binary64) (*.f64 b b)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 (*.f64 #s(literal 12 binary64) b) b))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* a 4) 12)) b) b) -1) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 4 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* a 4) 12)) (*.f64 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) (+ 3 a))))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* a 4) 12)) (*.f64 b b)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b a) #s(literal 4 binary64))) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(approx (+ (* a 4) 12) (*.f64 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) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 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) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(approx (+ (* a 4) 12) (*.f64 a #s(literal 4 binary64)))) b) b #s(literal -1 binary64)))
Calls

2 calls:

6.0ms
b
5.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
96.6%2b
96.6%2(*.f64 b b)
Compiler

Compiled 4 to 5 computations (-25% saved)

regimes64.0ms (0.8%)

Memory
-11.8MiB live, 27.9MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* a 4) 12)) b) b) -1) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 #s(literal 12 binary64) (*.f64 b b)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 (*.f64 #s(literal 12 binary64) b) b))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* a 4) 12)) b) b) -1) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 4 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* a 4) 12)) (*.f64 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) (+ 3 a))))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* a 4) 12)) (*.f64 b b)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b a) #s(literal 4 binary64))) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(approx (+ (* a 4) 12) (*.f64 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) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b #s(literal -1 binary64)))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(approx (+ (* a 4) 12) (*.f64 a #s(literal 4 binary64)))) b) b #s(literal -1 binary64)))
Calls

5 calls:

46.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
5.0ms
b
4.0ms
a
4.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
4.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
70.9%1(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
70.9%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
70.9%1a
70.9%1b
70.9%1(*.f64 b b)
Compiler

Compiled 61 to 42 computations (31.1% saved)

regimes20.0ms (0.2%)

Memory
26.2MiB live, 26.2MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* a 4) 12)) b) b) -1) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 #s(literal 12 binary64) (*.f64 b b)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 (*.f64 #s(literal 12 binary64) b) b))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* a 4) 12)) b) b) -1) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 4 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* a 4) 12)) (*.f64 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) (+ 3 a))))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* a 4) 12)) (*.f64 b b)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (*.f64 b a) #s(literal 4 binary64))) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1 binary64))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
Calls

5 calls:

4.0ms
a
4.0ms
b
4.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
4.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
4.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
70.5%1b
70.5%1(*.f64 b b)
70.5%1a
70.5%1(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
70.5%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
Compiler

Compiled 61 to 42 computations (31.1% saved)

regimes57.0ms (0.7%)

Memory
-21.1MiB live, 18.8MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* a 4) 12)) b) b) -1) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 #s(literal 12 binary64) (*.f64 b b)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 (*.f64 #s(literal 12 binary64) b) b))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* a 4) 12)) b) b) -1) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 4 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* a 4) 12)) (*.f64 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) (+ 3 a))))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* a 4) 12)) (*.f64 b b)) b) b #s(literal -1 binary64)))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* a 4) 12)) (*.f64 b b)) b) b #s(literal -1 binary64)))
Calls

5 calls:

46.0ms
(*.f64 b b)
3.0ms
b
3.0ms
a
3.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
2.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
70.5%1a
70.5%1b
70.5%1(*.f64 b b)
70.5%1(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
70.5%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
Compiler

Compiled 61 to 42 computations (31.1% saved)

regimes12.0ms (0.1%)

Memory
17.1MiB live, 17.1MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* a 4) 12)) b) b) -1) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 #s(literal 12 binary64) (*.f64 b b)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 (*.f64 #s(literal 12 binary64) b) b))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* a 4) 12)) b) b) -1) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 4 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* a 4) 12)) (*.f64 a #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
Outputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 #s(literal 12 binary64) (*.f64 b b)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* a 4) 12)) b) b) -1) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 4 binary64))))
Calls

5 calls:

2.0ms
a
2.0ms
b
2.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
2.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
2.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
54.9%2a
54.0%2b
54.0%2(*.f64 b b)
51.4%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 3 binary64) a))))) #s(literal 1 binary64))
51.4%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 3 binary64) a)))))
Compiler

Compiled 61 to 42 computations (31.1% saved)

regimes18.0ms (0.2%)

Memory
-24.8MiB live, 15.0MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* a 4) 12)) b) b) -1) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 #s(literal 12 binary64) (*.f64 b b)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 (*.f64 #s(literal 12 binary64) b) b))) #s(literal 1 binary64))
Outputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 #s(literal 12 binary64) (*.f64 b b)))) #s(literal 1 binary64))
Calls

5 calls:

10.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
2.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
2.0ms
a
2.0ms
b
2.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
51.4%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 3 binary64) a))))) #s(literal 1 binary64))
51.4%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 3 binary64) a)))))
51.4%1b
51.4%1(*.f64 b b)
51.4%1a
Compiler

Compiled 61 to 42 computations (31.1% saved)

regimes7.0ms (0.1%)

Memory
11.4MiB live, 11.4MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

5 calls:

1.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
1.0ms
b
1.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
1.0ms
a
1.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
24.0%1a
24.0%1b
24.0%1(*.f64 b b)
24.0%1(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
24.0%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
Compiler

Compiled 61 to 42 computations (31.1% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.5004779630296935e+41
4.448756738876645e+48
Compiler

Compiled 30 to 22 computations (26.7% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.448756738876645e+48
7.285104065772429e+49
Compiler

Compiled 30 to 22 computations (26.7% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.448756738876645e+48
7.285104065772429e+49
Compiler

Compiled 30 to 22 computations (26.7% saved)

bsearch22.0ms (0.3%)

Memory
22.9MiB live, 22.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
19.0ms
3.206824430532645e-6
217.92925024075402
Samples
13.0ms144×0valid
Compiler

Compiled 194 to 193 computations (0.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 4.0ms (42.2% of total)
ival-add: 2.0ms (21.1% of total)
ival-sub: 1.0ms (10.5% of total)
ival-pow2: 1.0ms (10.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify36.0ms (0.4%)

Memory
-9.2MiB live, 38.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0100783
1119783
2126783
3135783
4136783
Stop Event
saturated
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 200000000000000001240017290081556638990336 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) #s(approx (+ (* (* a a) (+ (* a a) (* 4 (- 1 a)))) -1) #s(literal -1 binary64)))))
(if (<=.f64 (*.f64 b b) #s(literal 4999999999999999732451384737740896598436207394816 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(approx (+ (* a 4) 12) (*.f64 a #s(literal 4 binary64)))) b) b #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 4999999999999999732451384737740896598436207394816 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(approx (+ (* a 4) 12) (*.f64 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) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(approx (+ (* a 4) 12) (*.f64 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) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* a 4) 12)) (*.f64 b b)) b) b #s(literal -1 binary64)))
(if (<=.f64 a #s(literal 5404319552844595/2251799813685248 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 #s(literal 12 binary64) (*.f64 b b)))) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* a 4) 12)) b) b) -1) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 4 binary64)))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 #s(literal 12 binary64) (*.f64 b b)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* a 4) 12)) b) b) -1) #s(literal -1 binary64)))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 200000000000000001240017290081556638990336 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) #s(approx (+ (* (* a a) (+ (* a a) (* 4 (- 1 a)))) -1) #s(literal -1 binary64)))))
(if (<=.f64 (*.f64 b b) #s(literal 4999999999999999732451384737740896598436207394816 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(approx (+ (* a 4) 12) (*.f64 a #s(literal 4 binary64)))) b) b #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 4999999999999999732451384737740896598436207394816 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(approx (+ (* a 4) 12) (*.f64 #s(literal 4 binary64) a))) b) b #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 4999999999999999732451384737740896598436207394816 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(approx (+ (* a 4) 12) (*.f64 a #s(literal 4 binary64)))) b) b #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 4999999999999999732451384737740896598436207394816 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(approx (+ (* a 4) 12) (*.f64 #s(literal 4 binary64) a))) b) b #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(approx (+ (* a 4) 12) (*.f64 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) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(approx (+ (* a 4) 12) (*.f64 #s(literal 4 binary64) a))) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* a 4) 12)) (*.f64 b b)) b) b #s(literal -1 binary64)))
(if (<=.f64 a #s(literal 5404319552844595/2251799813685248 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 #s(literal 12 binary64) (*.f64 b b)))) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* a 4) 12)) b) b) -1) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 4 binary64)))))
(if (<=.f64 a #s(literal 5404319552844595/2251799813685248 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* a 4) 12)) b) b) -1) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 4 binary64)))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 #s(literal 12 binary64) (*.f64 b b)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (- 1 a) 4) (* a a)) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (pow a 4))) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* a 4) 12)) b) b) -1) #s(literal -1 binary64)))

soundness1.5s (18.3%)

Memory
-16.5MiB live, 770.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03359084
110568814
232838533
080957797
071681
0108675
1530663
24467663
08640615
01811598
15641573
217221533
351291478
472471478
082721357
02899132
19388868
228638658
081627942
03769690
112309390
238689154
081138340
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
Compiler

Compiled 647 to 411 computations (36.5% saved)

preprocess63.0ms (0.8%)

Memory
13.6MiB live, 130.6MiB allocated
Remove

(abs b)

Compiler

Compiled 674 to 270 computations (59.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...