Bouland and Aaronson, Equation (24)

Time bar (total: 12.3s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 31 to 19 computations (38.7% saved)

sample1.3s (10.4%)

Memory
54.4MiB live, 1 844.9MiB allocated
Samples
910.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 695.0ms
ival-mult: 293.0ms (42.2% of total)
ival-add: 160.0ms (23% of total)
ival-pow2: 125.0ms (18% of total)
ival-sub: 97.0ms (14% of total)
exact: 11.0ms (1.6% of total)
ival-true: 6.0ms (0.9% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain315.0ms (2.6%)

Memory
-46.9MiB live, 599.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
660-0-(+.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)))))
430-0-(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
200-2(3.79761610341334e+140 -3.0530922940354783e-162)(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
00-0-(*.f64 a a)
00-0-a
00-0-#s(literal 3 binary64)
00-0-#s(literal 1 binary64)
00-0-(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a))
00-0-(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
00-0-(*.f64 b b)
00-0-(-.f64 #s(literal 1 binary64) a)
00-0-(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))
00-0-(+.f64 (*.f64 a a) (*.f64 b b))
00-0-(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
00-0-#s(literal 4 binary64)
00-0-#s(literal 2 binary64)
00-0-(+.f64 #s(literal 3 binary64) a)
00-0-b
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))nan-rescue660
(*.f64 b b)overflow72
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))overflow168
(*.f64 a a)overflow69
(+.f64 (*.f64 a a) (*.f64 b b))overflow119
(*.f64 b b)overflow72
(*.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))))overflow143
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))overflow142
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))overflow90
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a))overflow95
(*.f64 a a)overflow69
+.f64(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))nan-rescue430
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a))overflow95
(*.f64 a a)overflow69
(*.f64 b b)overflow72
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))overflow90
Confusion
Predicted +Predicted -
+820
-0174
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+8200
-00174
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0174
155
227
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
55.0ms512×0valid
Compiler

Compiled 307 to 58 computations (81.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-mult: 14.0ms (40.8% of total)
ival-add: 9.0ms (26.2% of total)
ival-pow2: 5.0ms (14.6% of total)
ival-sub: 4.0ms (11.6% of total)
ival-true: 1.0ms (2.9% of total)
exact: 1.0ms (2.9% of total)
ival-assert: 0.0ms (0% of total)

preprocess527.0ms (4.3%)

Memory
21.6MiB live, 576.6MiB allocated
Algorithm
egg-herbie
Rules
26 512×lower-fma.f64
26 512×lower-fma.f32
4 188×lower-+.f32
4 180×lower-+.f64
3 330×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

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

(abs b)

Compiler

Compiled 31 to 18 computations (41.9% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.9%
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
Compiler

Compiled 31 to 18 computations (41.9% saved)

simplify396.0ms (3.2%)

Memory
16.6MiB live, 444.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff128
(+.f64 (*.f64 a a) (*.f64 b b))
cost-diff128
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
cost-diff320
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
cost-diff5440
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
Rules
26 512×lower-fma.f64
26 512×lower-fma.f32
4 188×lower-+.f32
4 180×lower-+.f64
3 330×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

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

localize99.0ms (0.8%)

Memory
9.1MiB live, 81.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.09375
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
accuracy4.59166495785069
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
accuracy9.937444267415563
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
accuracy13.160156250000002
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 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
62.0ms256×0valid
Compiler

Compiled 138 to 20 computations (85.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-mult: 42.0ms (81.2% of total)
ival-add: 4.0ms (7.7% of total)
ival-sub: 2.0ms (3.9% of total)
ival-pow2: 2.0ms (3.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series18.0ms (0.1%)

Memory
1.7MiB live, 35.1MiB allocated
Counts
6 → 144
Calls
Call 1
Inputs
#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) (patch (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())
#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())
Outputs
#s(alt (pow b 4) (taylor 0 a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) (taylor 0 a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) (taylor 0 a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) (taylor 0 a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor inf a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) (taylor inf a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) (taylor inf a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) (taylor inf a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor -inf a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) (taylor -inf a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) (taylor -inf a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor 0 b) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (taylor 0 b) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) (taylor 0 b) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) (taylor 0 b) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow b 4) (taylor inf b) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) (taylor inf b) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) (taylor inf b) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) (taylor inf b) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor -inf b) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) (taylor -inf b) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) (taylor -inf b) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) (taylor -inf b) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow b 2)) (taylor 0 a) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow b 2)) (* a (pow b 2))) (taylor 0 a) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow b 2)) (* a (+ a (pow b 2)))) (taylor 0 a) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2)))) (taylor 0 a) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow a 3)) (taylor inf a) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 3) (- (/ 1 a) 1)) (taylor inf a) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1)) (taylor inf a) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1)) (taylor inf a) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow a 3)) (taylor -inf a) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow a 3) (- 1 (/ 1 a)))) (taylor -inf a) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a))))) (taylor -inf a) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a))))) (taylor -inf a) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (- 1 a)) (taylor 0 b) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a))) (taylor 0 b) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a))) (taylor 0 b) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a))) (taylor 0 b) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 a)) (taylor inf b) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) (taylor inf b) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) (taylor inf b) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) (taylor inf b) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 a)) (taylor -inf b) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) (taylor -inf b) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) (taylor -inf b) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) (taylor -inf b) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 a)) (taylor 0 b) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 a)) (taylor 0 b) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 a)) (taylor 0 b) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 a)) (taylor 0 b) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 a)) (taylor inf b) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 a)) (taylor inf b) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 a)) (taylor inf b) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 a)) (taylor inf b) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 a)) (taylor -inf b) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 a)) (taylor -inf b) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 a)) (taylor -inf b) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 a)) (taylor -inf b) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow b 2)) (taylor 0 a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow b 2)) (* a (pow b 2))) (taylor 0 a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow b 2)) (* a (pow b 2))) (taylor 0 a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow b 2)) (* a (pow b 2))) (taylor 0 a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* a (pow b 2)) (taylor inf a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* 3 (/ (pow b 2) a)) (pow b 2))) (taylor inf a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* 3 (/ (pow b 2) a)) (pow b 2))) (taylor inf a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* 3 (/ (pow b 2) a)) (pow b 2))) (taylor inf a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* a (pow b 2)) (taylor -inf a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) (taylor -inf a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) (taylor -inf a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) (taylor -inf a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
Calls

36 calls:

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

simplify433.0ms (3.5%)

Memory
12.2MiB live, 475.5MiB allocated
Algorithm
egg-herbie
Rules
19 992×lower-fma.f64
19 992×lower-fma.f32
4 374×lower-+.f64
4 374×lower-+.f32
3 756×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01912222
15992169
218452105
357612012
084751830
Stop Event
iter limit
node limit
Counts
144 → 144
Calls
Call 1
Inputs
(pow b 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(pow a 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(+ (* 12 (pow b 2)) (pow b 4))
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4)))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 2)
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(pow a 2)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(pow a 2)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(pow a 2)
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(pow b 2)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* 3 (pow b 2))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(+ (* 3 (pow b 2)) (* a (+ a (pow b 2))))
(+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2))))
(* -1 (pow a 3))
(* (pow a 3) (- (/ 1 a) 1))
(* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1))
(* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1))
(* -1 (pow a 3))
(* -1 (* (pow a 3) (- 1 (/ 1 a))))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a)))))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a)))))
(* (pow a 2) (- 1 a))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* 3 (pow b 2))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(* a (pow b 2))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(* a (pow b 2))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
Outputs
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(*.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a))))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(*.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a))))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a))))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) (*.f64 a (*.f64 a (*.f64 a a))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) (*.f64 a (*.f64 a (*.f64 a a))))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) (*.f64 a (*.f64 a (*.f64 a a))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) (*.f64 a (*.f64 a (*.f64 a a))))
(+ (* 12 (pow b 2)) (pow b 4))
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))))
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4)))
(*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) (*.f64 a (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4)))
(fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 b (/.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)) #s(literal 1 binary64))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)) #s(literal 1 binary64))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal -2 binary64) #s(literal -4 binary64)) a)) a)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 4 binary64)) a)) a)))
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
(fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)))))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)))))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)))))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a))))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a))))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal -1 binary64))
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(fma.f64 a (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal -1 binary64)))
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 b (/.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)) #s(literal 1 binary64))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)) #s(literal 1 binary64))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal -2 binary64) #s(literal -4 binary64)) a)) a)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 4 binary64)) a)) a)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a)))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a)))))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a)))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a)))))
(pow b 2)
(*.f64 b b)
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(pow a 2)
(*.f64 a a)
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(* 3 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 3 binary64))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(+ (* 3 (pow b 2)) (* a (+ a (pow b 2))))
(fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a a))
(+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2))))
(fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (-.f64 a (*.f64 a a))))
(* -1 (pow a 3))
(*.f64 a (*.f64 a (neg.f64 a)))
(* (pow a 3) (- (/ 1 a) 1))
(*.f64 a (-.f64 a (*.f64 a a)))
(* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1))
(*.f64 a (fma.f64 b b (*.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)))))
(* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1))
(fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) a))) (*.f64 a (-.f64 a (*.f64 a a))))
(* -1 (pow a 3))
(*.f64 a (*.f64 a (neg.f64 a)))
(* -1 (* (pow a 3) (- 1 (/ 1 a))))
(*.f64 a (-.f64 a (*.f64 a a)))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a)))))
(*.f64 a (fma.f64 b b (*.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)))))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a)))))
(*.f64 a (*.f64 (*.f64 a a) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) a))) a)) a))))
(* (pow a 2) (- 1 a))
(*.f64 a (-.f64 a (*.f64 a a)))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (-.f64 a (*.f64 a a))))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (-.f64 a (*.f64 a a))))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (-.f64 a (*.f64 a a))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* 3 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 3 binary64))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* a (pow b 2))
(*.f64 b (*.f64 b a))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(fma.f64 b (*.f64 b a) (neg.f64 (*.f64 (*.f64 b b) #s(literal -3 binary64))))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(fma.f64 b (*.f64 b a) (neg.f64 (*.f64 (*.f64 b b) #s(literal -3 binary64))))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(fma.f64 b (*.f64 b a) (neg.f64 (*.f64 (*.f64 b b) #s(literal -3 binary64))))
(* a (pow b 2))
(*.f64 b (*.f64 b a))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(fma.f64 b (*.f64 b a) (neg.f64 (*.f64 (*.f64 b b) #s(literal -3 binary64))))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(fma.f64 b (*.f64 b a) (neg.f64 (*.f64 (*.f64 b b) #s(literal -3 binary64))))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(fma.f64 b (*.f64 b a) (neg.f64 (*.f64 (*.f64 b b) #s(literal -3 binary64))))

rewrite376.0ms (3.1%)

Memory
23.5MiB live, 729.4MiB allocated
Rules
5 458×lower-fma.f64
5 458×lower-fma.f32
4 122×lower-/.f64
4 122×lower-/.f32
3 974×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

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

eval129.0ms (1.1%)

Memory
-36.1MiB live, 302.9MiB allocated
Compiler

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

prune157.0ms (1.3%)

Memory
13.6MiB live, 213.3MiB allocated
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New67515690
Fresh000
Picked101
Done000
Total67615691
Accuracy
100.0%
Counts
691 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
14.2%
(fma.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal -1 binary64)))
68.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))))
13.5%
(-.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (-.f64 (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a))) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (*.f64 (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (-.f64 (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a))) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))))) #s(literal 4 binary64)))) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (-.f64 (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a))) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))))) #s(literal 1 binary64))
67.9%
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
67.9%
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a))))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
69.5%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal -2 binary64) #s(literal -4 binary64)) a)) a)))) #s(literal 1 binary64))
68.3%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))))) #s(literal 1 binary64))
68.3%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
69.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
99.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))))
89.1%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))))
83.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 a (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal -1 binary64))))
60.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal -2 binary64) #s(literal -4 binary64)) a)) a))))
48.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))
49.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
Compiler

Compiled 962 to 434 computations (54.9% saved)

simplify307.0ms (2.5%)

Memory
10.9MiB live, 488.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a)))))
cost-diff0
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a))))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
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) (fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a))))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
cost-diff0
(fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))))
cost-diff128
(fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))
cost-diff192
(fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)))
cost-diff0
(*.f64 b (fma.f64 b b #s(literal 12 binary64)))
cost-diff0
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))))
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64)))))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))))) #s(literal 1 binary64))
cost-diff0
(*.f64 a a)
cost-diff0
(*.f64 a (*.f64 a a))
cost-diff0
(*.f64 a (*.f64 a (*.f64 a a)))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
cost-diff0
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))))
cost-diff128
(fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))
cost-diff192
(fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)))
Rules
24 314×lower-fma.f32
24 292×lower-fma.f64
4 566×lower-+.f32
4 560×lower-+.f64
2 594×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056680
094662
1204648
2564640
31674640
42684640
54073640
66730640
08113606
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
b
(*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))))
(fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))
a
(fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 12 binary64)
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))
(*.f64 a a)
(fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)))
(fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))
(neg.f64 a)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
(*.f64 a (*.f64 a (*.f64 a a)))
a
(*.f64 a (*.f64 a a))
(*.f64 a a)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64)))))
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))))
b
(*.f64 b (fma.f64 b b #s(literal 12 binary64)))
(fma.f64 b b #s(literal 12 binary64))
#s(literal 12 binary64)
#s(literal 1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))))
(fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
b
(*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))
a
(fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 12 binary64)
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))
(*.f64 a a)
(fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)))
(fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))
(neg.f64 a)
#s(literal -1 binary64)
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a))))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a))))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
#s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a)))))
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a))))
b
(*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a))))
(fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))
(*.f64 #s(literal 2 binary64) (*.f64 a a))
#s(literal 2 binary64)
(*.f64 a a)
a
(*.f64 a (*.f64 a (*.f64 a a)))
(*.f64 a (*.f64 a a))
(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))
#s(literal 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)
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))
b
(*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))))
(*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))
(fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
(fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))
(fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))
a
(fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64))
(fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 12 binary64)
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 a a)
(fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)))
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))
(fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))
(fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))
(neg.f64 a)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
(*.f64 a (*.f64 a (*.f64 a a)))
a
(*.f64 a (*.f64 a a))
(*.f64 a a)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))))) #s(literal 1 binary64))
(+.f64 #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) (fma.f64 b b #s(literal 12 binary64)))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64)))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64))))
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))))
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)))
b
(*.f64 b (fma.f64 b b #s(literal 12 binary64)))
(fma.f64 b b #s(literal 12 binary64))
#s(literal 12 binary64)
#s(literal 1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))))
(fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
(fma.f64 b (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))
b
(*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
(*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))
(fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))
a
(fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64))
(fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 12 binary64)
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 a a)
(fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)))
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))
(fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))
(fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))
(neg.f64 a)
#s(literal -1 binary64)
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a))))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (fma.f64 a (neg.f64 a) a))) #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b))))))))
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a))))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
(fma.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (fma.f64 a (neg.f64 a) a))) #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)))))))
#s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a)))))
#s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b))))))
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a))))
(fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)))))
b
(*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a))))
(*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)))
(fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))
(fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b))
(*.f64 #s(literal 2 binary64) (*.f64 a a))
(*.f64 a (*.f64 a #s(literal 2 binary64)))
#s(literal 2 binary64)
(*.f64 a a)
a
(*.f64 a (*.f64 a (*.f64 a a)))
(*.f64 a (*.f64 a a))
(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))
(*.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (fma.f64 a (neg.f64 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 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (fma.f64 a (neg.f64 a) a)))
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a))
(*.f64 a (fma.f64 a (neg.f64 a) a))
(-.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(*.f64 b b)
(+.f64 #s(literal 3 binary64) a)
(+.f64 a #s(literal 3 binary64))
#s(literal 3 binary64)

localize293.0ms (2.4%)

Memory
-20.3MiB live, 221.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy4.59166495785069
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
accuracy4.77864105422196
(*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a))))
accuracy9.937444267415563
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
accuracy13.160156250000002
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a))))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
accuracy0.04296875
(fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
accuracy0.08822250976844201
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))
accuracy4.80207855422196
(*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
accuracy6.954713473712779
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))))
accuracy0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))))) #s(literal 1 binary64))
accuracy0.0625
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))))
accuracy0.1015625
(*.f64 b (fma.f64 b b #s(literal 12 binary64)))
accuracy24.717698535618332
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64)))))
accuracy0
(*.f64 a a)
accuracy0.07421875
(*.f64 a (*.f64 a (*.f64 a a)))
accuracy0.07421875
(*.f64 a (*.f64 a a))
accuracy32.366699560988195
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
accuracy0.00390625
(fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
accuracy0.01953125
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
accuracy0.08822250976844201
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))
accuracy4.78254730422196
(*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))))
Samples
153.0ms230×0valid
8.0ms3valid
6.0ms2valid
6.0ms10×1valid
Compiler

Compiled 589 to 49 computations (91.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 146.0ms
ival-mult: 117.0ms (80.1% of total)
ival-add: 17.0ms (11.6% of total)
adjust: 5.0ms (3.4% of total)
ival-pow2: 3.0ms (2.1% of total)
ival-sub: 2.0ms (1.4% of total)
exact: 1.0ms (0.7% of total)
ival-neg: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series42.0ms (0.3%)

Memory
11.9MiB live, 48.3MiB allocated
Counts
24 → 480
Calls
Call 1
Inputs
#s(alt (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) (patch (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (patch (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))) (patch (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a)))) #<representation binary64>) () ())
#s(alt (*.f64 a (*.f64 a (*.f64 a a))) (patch (*.f64 a (*.f64 a (*.f64 a a))) #<representation binary64>) () ())
#s(alt (*.f64 a (*.f64 a a)) (patch (*.f64 a (*.f64 a a)) #<representation binary64>) () ())
#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))))) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64)))) (patch (*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 b (fma.f64 b b #s(literal 12 binary64))) (patch (*.f64 b (fma.f64 b b #s(literal 12 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))) (patch (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a))))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) (patch (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a))))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #<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) (fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a))))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a))))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a))))) (patch #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a))))) #<representation binary64>) () ())
#s(alt (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (patch (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (patch (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a 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 (taylor 0 a) (#s(alt (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) (patch (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4 (* -4 a)) (taylor 0 a) (#s(alt (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) (patch (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4 (* a (- a 4))) (taylor 0 a) (#s(alt (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) (patch (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4 (* a (- a 4))) (taylor 0 a) (#s(alt (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) (patch (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor inf a) (#s(alt (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) (patch (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (- 1 (* 4 (/ 1 a)))) (taylor inf a) (#s(alt (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) (patch (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) (taylor inf a) (#s(alt (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) (patch (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) (taylor inf a) (#s(alt (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) (patch (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) (patch (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (- 1 (* 4 (/ 1 a)))) (taylor -inf a) (#s(alt (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) (patch (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) (taylor -inf a) (#s(alt (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) (patch (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) (taylor -inf a) (#s(alt (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) (patch (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt 4 (taylor 0 a) (#s(alt (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (patch (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4 (* -4 a)) (taylor 0 a) (#s(alt (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (patch (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4 (* -4 a)) (taylor 0 a) (#s(alt (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (patch (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4 (* -4 a)) (taylor 0 a) (#s(alt (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (patch (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -4 a) (taylor inf a) (#s(alt (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (patch (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a (- (* 4 (/ 1 a)) 4)) (taylor inf a) (#s(alt (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (patch (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a (- (* 4 (/ 1 a)) 4)) (taylor inf a) (#s(alt (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (patch (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a (- (* 4 (/ 1 a)) 4)) (taylor inf a) (#s(alt (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (patch (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -4 a) (taylor -inf a) (#s(alt (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (patch (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- 4 (* 4 (/ 1 a))))) (taylor -inf a) (#s(alt (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (patch (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- 4 (* 4 (/ 1 a))))) (taylor -inf a) (#s(alt (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (patch (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- 4 (* 4 (/ 1 a))))) (taylor -inf a) (#s(alt (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (patch (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 12 (pow b 2)) (pow b 4)) 1) (taylor 0 a) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) (taylor 0 a) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) (taylor 0 a) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) (taylor 0 a) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor inf a) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (- 1 (* 4 (/ 1 a)))) (taylor inf a) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) (taylor inf a) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* b (+ 12 (* a (+ 4 (* 2 a))))) (taylor 0 b) (#s(alt (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* b (+ 12 (* a (+ 4 (* 2 a))))) (taylor 0 b) (#s(alt (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* b (+ 12 (* a (+ 4 (* 2 a))))) (taylor 0 b) (#s(alt (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* b (+ 12 (* a (+ 4 (* 2 a))))) (taylor inf b) (#s(alt (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* b (+ 12 (* a (+ 4 (* 2 a))))) (taylor inf b) (#s(alt (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* b (+ 12 (* a (+ 4 (* 2 a))))) (taylor inf b) (#s(alt (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* b (+ 12 (* a (+ 4 (* 2 a))))) (taylor inf b) (#s(alt (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* b (+ 12 (* a (+ 4 (* 2 a))))) (taylor -inf b) (#s(alt (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* b (+ 12 (* a (+ 4 (* 2 a))))) (taylor -inf b) (#s(alt (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* b (+ 12 (* a (+ 4 (* 2 a))))) (taylor -inf b) (#s(alt (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* b (+ 12 (* a (+ 4 (* 2 a))))) (taylor -inf b) (#s(alt (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 12 b) (taylor 0 a) (#s(alt (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* a b)) (* 12 b)) (taylor 0 a) (#s(alt (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 12 b) (* a (+ (* 2 (* a b)) (* 4 b)))) (taylor 0 a) (#s(alt (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 12 b) (* a (+ (* 2 (* a b)) (* 4 b)))) (taylor 0 a) (#s(alt (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow a 2) b)) (taylor inf a) (#s(alt (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* 2 b) (* 4 (/ b a)))) (taylor inf a) (#s(alt (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (* 12 (/ b (pow a 2)))))) (taylor inf a) (#s(alt (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (* 12 (/ b (pow a 2)))))) (taylor inf a) (#s(alt (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow a 2) b)) (taylor -inf a) (#s(alt (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* 2 b) (* 4 (/ b a)))) (taylor -inf a) (#s(alt (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* -1 (/ (+ (* -12 (/ b a)) (* -4 b)) a)) (* 2 b))) (taylor -inf a) (#s(alt (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* -1 (/ (+ (* -12 (/ b a)) (* -4 b)) a)) (* 2 b))) (taylor -inf a) (#s(alt (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow a 2) b)) (taylor 0 b) (#s(alt (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (patch (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* 2 (pow a 2)) (pow b 2))) (taylor 0 b) (#s(alt (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (patch (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* 2 (pow a 2)) (pow b 2))) (taylor 0 b) (#s(alt (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (patch (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* 2 (pow a 2)) (pow b 2))) (taylor 0 b) (#s(alt (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (patch (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor inf b) (#s(alt (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (patch (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 3) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) (taylor inf b) (#s(alt (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (patch (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 3) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) (taylor inf b) (#s(alt (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (patch (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 3) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) (taylor inf b) (#s(alt (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (patch (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor -inf b) (#s(alt (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (patch (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow b 3) (- (* -2 (/ (pow a 2) (pow b 2))) 1))) (taylor -inf b) (#s(alt (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (patch (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow b 3) (- (* -2 (/ (pow a 2) (pow b 2))) 1))) (taylor -inf b) (#s(alt (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (patch (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow b 3) (- (* -2 (/ (pow a 2) (pow b 2))) 1))) (taylor -inf b) (#s(alt (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (patch (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor 0 a) (#s(alt (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (patch (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* (pow a 2) b)) (pow b 3)) (taylor 0 a) (#s(alt (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (patch (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* (pow a 2) b)) (pow b 3)) (taylor 0 a) (#s(alt (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (patch (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* (pow a 2) b)) (pow b 3)) (taylor 0 a) (#s(alt (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (patch (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow a 2) b)) (taylor inf a) (#s(alt (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (patch (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* 2 b) (/ (pow b 3) (pow a 2)))) (taylor inf a) (#s(alt (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (patch (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* 2 b) (/ (pow b 3) (pow a 2)))) (taylor inf a) (#s(alt (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (patch (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* 2 b) (/ (pow b 3) (pow a 2)))) (taylor inf a) (#s(alt (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (patch (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow a 2) b)) (taylor -inf a) (#s(alt (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (patch (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* 2 b) (/ (pow b 3) (pow a 2)))) (taylor -inf a) (#s(alt (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (patch (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* 2 b) (/ (pow b 3) (pow a 2)))) (taylor -inf a) (#s(alt (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (patch (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* 2 b) (/ (pow b 3) (pow a 2)))) (taylor -inf a) (#s(alt (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (patch (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 a)) (taylor 0 b) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 a)) (taylor 0 b) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 a)) (taylor 0 b) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 a)) (taylor 0 b) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 a)) (taylor inf b) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 a)) (taylor inf b) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 a)) (taylor inf b) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 a)) (taylor inf b) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 a)) (taylor -inf b) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 a)) (taylor -inf b) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 a)) (taylor -inf b) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 a)) (taylor -inf b) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow b 2)) (taylor 0 a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow b 2)) (* a (pow b 2))) (taylor 0 a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow b 2)) (* a (pow b 2))) (taylor 0 a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow b 2)) (* a (pow b 2))) (taylor 0 a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* a (pow b 2)) (taylor inf a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* 3 (/ (pow b 2) a)) (pow b 2))) (taylor inf a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* 3 (/ (pow b 2) a)) (pow b 2))) (taylor inf a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* 3 (/ (pow b 2) a)) (pow b 2))) (taylor inf a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* a (pow b 2)) (taylor -inf a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) (taylor -inf a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) (taylor -inf a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) (taylor -inf a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
Calls

120 calls:

TimeVariablePointExpression
2.0ms
b
@inf
(* b (+ (* b b) (* 2 (* a a))))
1.0ms
b
@0
(+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1))
1.0ms
b
@inf
(+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1))
0.0ms
b
@0
(* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))
0.0ms
b
@0
(* b (+ (* b b) (* 2 (* a a))))

simplify585.0ms (4.8%)

Memory
-10.0MiB live, 384.9MiB allocated
Algorithm
egg-herbie
Rules
17 706×lower-fma.f64
17 706×lower-fma.f32
5 796×lower-+.f64
5 796×lower-+.f32
5 414×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03578124
111297852
234917587
082806902
Stop Event
iter limit
node limit
Counts
480 → 480
Calls
Call 1
Inputs
4
(+ 4 (* -4 a))
(+ 4 (* a (- a 4)))
(+ 4 (* a (- a 4)))
(pow a 2)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(pow a 2)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
4
(+ 4 (* -4 a))
(+ 4 (* -4 a))
(+ 4 (* -4 a))
(* -4 a)
(* a (- (* 4 (/ 1 a)) 4))
(* a (- (* 4 (/ 1 a)) 4))
(* a (- (* 4 (/ 1 a)) 4))
(* -4 a)
(* -1 (* a (- 4 (* 4 (/ 1 a)))))
(* -1 (* a (- 4 (* 4 (/ 1 a)))))
(* -1 (* a (- 4 (* 4 (/ 1 a)))))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(- (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4))))
(- (* (pow b 2) (+ 12 (pow b 2))) 1)
(- (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(+ (* 12 (pow b 2)) (pow b 4))
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4)))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* 12 (pow b 2))
(* (pow b 2) (+ 12 (pow b 2)))
(* (pow b 2) (+ 12 (pow b 2)))
(* (pow b 2) (+ 12 (pow b 2)))
(pow b 4)
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2)))))
(pow b 4)
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* 12 b)
(* b (+ 12 (pow b 2)))
(* b (+ 12 (pow b 2)))
(* b (+ 12 (pow b 2)))
(pow b 3)
(* (pow b 3) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1 (* 12 (/ 1 (pow b 2)))))
(pow b 3)
(* (pow b 3) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1 (* 12 (/ 1 (pow b 2)))))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(- (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1)
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(- (* 12 (pow b 2)) 1)
(- (+ (* 4 (* a (pow b 2))) (* 12 (pow b 2))) 1)
(- (+ (* 12 (pow b 2)) (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))))) 1)
(- (+ (* 12 (pow b 2)) (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2)))))))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(+ (* 12 (pow b 2)) (pow b 4))
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4)))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* 3 (pow b 2))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(+ (* 3 (pow b 2)) (* a (+ a (pow b 2))))
(+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2))))
(* -1 (pow a 3))
(* (pow a 3) (- (/ 1 a) 1))
(* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1))
(* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1))
(* -1 (pow a 3))
(* -1 (* (pow a 3) (- 1 (/ 1 a))))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a)))))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a)))))
(* (pow a 2) (- 1 a))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(pow a 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))
(* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))
(* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))
(pow b 3)
(* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(pow b 3)
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) 1)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) 1)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) 1)))
(* b (+ 12 (pow b 2)))
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2))))
(+ (* a (+ (* 2 (* a b)) (* 4 b))) (* b (+ 12 (pow b 2))))
(+ (* a (+ (* 2 (* a b)) (* 4 b))) (* b (+ 12 (pow b 2))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* 2 b) (* 4 (/ b a))))
(* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (/ (* b (+ 12 (pow b 2))) (pow a 2)))))
(* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (/ (* b (+ 12 (pow b 2))) (pow a 2)))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* 2 b) (* 4 (/ b a))))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))) a)) (* 2 b)))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))) a)) (* 2 b)))
-1
(- (* 4 (pow a 2)) 1)
(- (* (pow a 2) (+ 4 (* -4 a))) 1)
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4)))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a))))
(+ 12 (* a (+ 4 (* 2 a))))
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))
(pow b 2)
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(+ 12 (pow b 2))
(+ 12 (+ (* 4 a) (pow b 2)))
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))
(* 2 (pow a 2))
(* (pow a 2) (+ 2 (* 4 (/ 1 a))))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (+ (/ 12 (pow a 2)) (/ (pow b 2) (pow a 2))))))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (+ (/ 12 (pow a 2)) (/ (pow b 2) (pow a 2))))))
(* 2 (pow a 2))
(* (pow a 2) (+ 2 (* 4 (/ 1 a))))
(* (pow a 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 12 (pow b 2)) a)) 4) a))))
(* (pow a 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 12 (pow b 2)) a)) 4) a))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* 12 b)
(+ (* 4 (* a b)) (* 12 b))
(+ (* 12 b) (* a (+ (* 2 (* a b)) (* 4 b))))
(+ (* 12 b) (* a (+ (* 2 (* a b)) (* 4 b))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* 2 b) (* 4 (/ b a))))
(* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (* 12 (/ b (pow a 2))))))
(* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (* 12 (/ b (pow a 2))))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* 2 b) (* 4 (/ b a))))
(* (pow a 2) (+ (* -1 (/ (+ (* -12 (/ b a)) (* -4 b)) a)) (* 2 b)))
(* (pow a 2) (+ (* -1 (/ (+ (* -12 (/ b a)) (* -4 b)) a)) (* 2 b)))
(* 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)))
(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)))))
(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)))
(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))
(* 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))))
(* 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))))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* 3 (pow b 2))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(* a (pow b 2))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(* a (pow b 2))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
Outputs
4
#s(literal 4 binary64)
(+ 4 (* -4 a))
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))
(+ 4 (* a (- a 4)))
(fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64))
(+ 4 (* a (- a 4)))
(fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(*.f64 a (fma.f64 a (/.f64 #s(literal -4 binary64) a) a))
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(*.f64 a (fma.f64 a (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a) a))
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(*.f64 a (fma.f64 a (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a) a))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(*.f64 a (fma.f64 a (/.f64 #s(literal -4 binary64) a) a))
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(*.f64 a (fma.f64 a (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a) a))
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(*.f64 a (fma.f64 a (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a) a))
4
#s(literal 4 binary64)
(+ 4 (* -4 a))
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))
(+ 4 (* -4 a))
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))
(+ 4 (* -4 a))
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))
(* -4 a)
(*.f64 #s(literal -4 binary64) a)
(* a (- (* 4 (/ 1 a)) 4))
(*.f64 a (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)))
(* a (- (* 4 (/ 1 a)) 4))
(*.f64 a (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)))
(* a (- (* 4 (/ 1 a)) 4))
(*.f64 a (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)))
(* -4 a)
(*.f64 #s(literal -4 binary64) a)
(* -1 (* a (- 4 (* 4 (/ 1 a)))))
(*.f64 a (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)))
(* -1 (* a (- 4 (* 4 (/ 1 a)))))
(*.f64 a (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)))
(* -1 (* a (- 4 (* 4 (/ 1 a)))))
(*.f64 a (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(fma.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b (fma.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)))
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) #s(literal -1 binary64)))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)) (*.f64 (*.f64 a a) (*.f64 a a)))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a))))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)) (*.f64 (*.f64 a a) (*.f64 a a)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 4 binary64)) a)) a)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 (+.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b))) (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))
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(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
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(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
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(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
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(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
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(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
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(- (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) 1)
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
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(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
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(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))
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(- (* 12 (pow b 2)) 1)
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(- (+ (* 4 (* a (pow b 2))) (* 12 (pow b 2))) 1)
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(- (+ (* 12 (pow b 2)) (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2)))))))) 1)
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(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)) (*.f64 (*.f64 a a) (*.f64 a a)))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
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(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
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(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
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(+ (* 12 (pow b 2)) (pow b 4))
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(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4)))
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(pow a 4)
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(* (pow a 4) (- 1 (* 4 (/ 1 a))))
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(pow a 4)
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(* (pow a 4) (- 1 (* 4 (/ 1 a))))
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(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
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(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))
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(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))))
(+ (* 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 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
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(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* 3 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 3 binary64))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* a (pow b 2))
(*.f64 a (*.f64 b b))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(*.f64 a (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) a))))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(*.f64 a (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) a))))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(*.f64 a (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) a))))
(* a (pow b 2))
(*.f64 a (*.f64 b b))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(*.f64 a (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) a))))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(*.f64 a (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) a))))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(*.f64 a (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) a))))

rewrite966.0ms (7.9%)

Memory
30.3MiB live, 589.7MiB allocated
Rules
6 608×lower-*.f32
6 582×lower-*.f64
5 930×lower-fma.f32
5 908×lower-fma.f64
3 250×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056516
094504
1434494
23825494
09903453
Stop Event
iter limit
node limit
iter limit
Counts
24 → 642
Calls
Call 1
Inputs
(fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)))
(fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
(*.f64 a (*.f64 a (*.f64 a a)))
(*.f64 a (*.f64 a a))
(*.f64 a a)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64)))))
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))))
(*.f64 b (fma.f64 b b #s(literal 12 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))))
(fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a))))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
(+.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) (fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a))))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
#s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a)))))
(*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))))
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
(*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
(*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
Outputs
(+.f64 #s(literal 4 binary64) (fma.f64 a a (*.f64 #s(literal -4 binary64) a)))
(+.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a))
(+.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) a) (+.f64 #s(literal 4 binary64) (*.f64 a a)))
(+.f64 (fma.f64 a a (*.f64 #s(literal -4 binary64) a)) #s(literal 4 binary64))
(+.f64 (fma.f64 a a #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) a))
(-.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 1 binary64) a)) #s(literal 16 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))
(fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
(fma.f64 #s(literal 4 binary64) (neg.f64 a) (+.f64 #s(literal 4 binary64) (*.f64 a a)))
(fma.f64 (neg.f64 a) #s(literal 4 binary64) (+.f64 #s(literal 4 binary64) (*.f64 a a)))
(fma.f64 (neg.f64 a) (neg.f64 a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
(fma.f64 (*.f64 a a) #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 a a)))
(fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a))
(fma.f64 (fma.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a)) #s(literal 64 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 a a) #s(literal 16 binary64) #s(literal 16 binary64)) (*.f64 (neg.f64 a) #s(literal 16 binary64)))) (*.f64 a a))
(fma.f64 (fma.f64 (*.f64 a a) #s(literal 16 binary64) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) a #s(literal -4 binary64))) (*.f64 a a))
(fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a)))
(fma.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 1 binary64) a))) #s(literal 64 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))))
(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 1 binary64) a))) #s(literal 64 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)))))
(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 1 binary64) a))) #s(literal 64 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 1 binary64) a)) #s(literal 16 binary64) (-.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))))
(/.f64 (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 1 binary64) a))) #s(literal 64 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (neg.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) (neg.f64 (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))
(/.f64 (fma.f64 (fma.f64 a a (*.f64 #s(literal -4 binary64) a)) (*.f64 (fma.f64 a a (*.f64 #s(literal -4 binary64) a)) (fma.f64 a a (*.f64 #s(literal -4 binary64) a))) #s(literal 64 binary64)) (fma.f64 (fma.f64 a a (*.f64 #s(literal -4 binary64) a)) (fma.f64 a a (*.f64 #s(literal -4 binary64) a)) (-.f64 #s(literal 16 binary64) (*.f64 (fma.f64 a a (*.f64 #s(literal -4 binary64) a)) #s(literal 4 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 1 binary64) a)) #s(literal 16 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (-.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)))
(/.f64 (-.f64 (*.f64 (fma.f64 a a (*.f64 #s(literal -4 binary64) a)) (fma.f64 a a (*.f64 #s(literal -4 binary64) a))) #s(literal 16 binary64)) (-.f64 (fma.f64 a a (*.f64 #s(literal -4 binary64) a)) #s(literal 4 binary64)))
(pow.f64 (/.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 1 binary64) a))) #s(literal 64 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 1 binary64) a))) #s(literal 64 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a))))))
(*.f64 (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))
(+.f64 #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) a))
(+.f64 (*.f64 #s(literal -4 binary64) a) #s(literal 4 binary64))
(-.f64 #s(literal 4 binary64) (*.f64 a #s(literal 4 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64)) (fma.f64 #s(literal -4 binary64) a #s(literal -4 binary64))) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) a #s(literal -4 binary64))))
(fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))
(fma.f64 (neg.f64 a) #s(literal 4 binary64) #s(literal 4 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 a a) #s(literal 16 binary64) #s(literal 16 binary64)) (*.f64 (neg.f64 a) #s(literal 16 binary64))) (fma.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a)) #s(literal 64 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) a #s(literal -4 binary64)) (fma.f64 (*.f64 a a) #s(literal 16 binary64) #s(literal -16 binary64))))
(/.f64 (fma.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a)) #s(literal 64 binary64)) (-.f64 (fma.f64 (*.f64 a a) #s(literal 16 binary64) #s(literal 16 binary64)) (*.f64 (neg.f64 a) #s(literal 16 binary64))))
(/.f64 (fma.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a)) #s(literal 64 binary64)) (+.f64 #s(literal 16 binary64) (-.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64)) (*.f64 (neg.f64 a) #s(literal 16 binary64)))))
(/.f64 (fma.f64 (*.f64 a a) #s(literal 16 binary64) #s(literal -16 binary64)) (fma.f64 #s(literal -4 binary64) a #s(literal -4 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a)) #s(literal 64 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 a a) #s(literal 16 binary64) #s(literal 16 binary64)) (*.f64 (neg.f64 a) #s(literal 16 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 a a) #s(literal 16 binary64) #s(literal -16 binary64))) (neg.f64 (fma.f64 #s(literal -4 binary64) a #s(literal -4 binary64))))
(/.f64 (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 a a) #s(literal 16 binary64))) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) a)))
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 a a) #s(literal 16 binary64) #s(literal 16 binary64)) (*.f64 (neg.f64 a) #s(literal 16 binary64))) (fma.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a)) #s(literal 64 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal -4 binary64) a #s(literal -4 binary64)) (fma.f64 (*.f64 a a) #s(literal 16 binary64) #s(literal -16 binary64))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))
(*.f64 (fma.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a)) #s(literal 64 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 a a) #s(literal 16 binary64) #s(literal 16 binary64)) (*.f64 (neg.f64 a) #s(literal 16 binary64)))))
(*.f64 (fma.f64 (*.f64 a a) #s(literal 16 binary64) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) a #s(literal -4 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (fma.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64))))
(+.f64 #s(literal -1 binary64) (fma.f64 a (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))))))
(+.f64 (fma.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))))
(+.f64 (*.f64 a (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))))))
(+.f64 (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))) (fma.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)))
(+.f64 (fma.f64 a (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))))) #s(literal -1 binary64))
(+.f64 (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)) (*.f64 a (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))))
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(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(*.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)))
(*.f64 (+.f64 a #s(literal 3 binary64)) (*.f64 b b))
(*.f64 (*.f64 b (+.f64 a #s(literal 3 binary64))) b)

eval457.0ms (3.7%)

Memory
-123.2MiB live, 472.4MiB allocated
Compiler

Compiled 68 623 to 3 271 computations (95.2% saved)

prune261.0ms (2.1%)

Memory
-13.5MiB live, 427.7MiB allocated
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New1 379141 393
Fresh7310
Picked415
Done000
Total1 390181 408
Accuracy
100.0%
Counts
1 408 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.9%
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
51.3%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 b #s(approx (* b (+ (* b b) 12)) (*.f64 #s(literal 12 binary64) b)))) #s(literal 1 binary64))
51.3%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* b (* b (+ (* b b) 12))) (*.f64 #s(literal 12 binary64) (*.f64 b b)))) #s(literal 1 binary64))
68.3%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
82.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) a (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))))
100.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) a #s(literal -1 binary64))))
79.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 (*.f64 a a) (*.f64 a a)))))
83.3%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64))))
68.3%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)))
89.1%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) a #s(literal -1 binary64))))
71.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a (*.f64 a a)) a (fma.f64 a (*.f64 a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))))
68.3%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 (*.f64 a a) (*.f64 a a)))))
49.4%
#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)))
49.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
48.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))
49.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
69.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))))
51.3%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64))))
Compiler

Compiled 634 to 349 computations (45% saved)

simplify358.0ms (2.9%)

Memory
21.9MiB live, 571.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) a (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) a (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))))
cost-diff128
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))
cost-diff192
(fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
cost-diff0
(fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
cost-diff0
(*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))))
cost-diff0
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64))))
cost-diff0
(*.f64 a a)
cost-diff0
(*.f64 (*.f64 a a) (*.f64 a a))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
cost-diff0
(*.f64 b b)
cost-diff0
(fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64))
cost-diff0
#s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64)))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64))))
cost-diff0
(*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))))
cost-diff0
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 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 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) a #s(literal -1 binary64))))
cost-diff192
(fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
Rules
28 884×lower-fma.f32
28 862×lower-fma.f64
4 828×lower-+.f32
4 826×lower-+.f64
2 986×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060608
089612
1217584
2590580
31624580
42564580
53799580
66248580
08403546
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) a #s(literal -1 binary64))))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) a #s(literal -1 binary64)))
b
(*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))))
(fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))
a
(fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 12 binary64)
(fma.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) a #s(literal -1 binary64))
(*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))
(fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))
#s(literal -4 binary64)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64))))
#s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64)))
(fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64))
#s(literal 12 binary64)
(*.f64 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) (*.f64 (*.f64 a a) (*.f64 a a)))
(*.f64 (*.f64 a a) (*.f64 a a))
(*.f64 a a)
a
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64))))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)))
b
(*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))))
(fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))
a
(fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 12 binary64)
#s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) a (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))))
(fma.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) a (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))))
(*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))
a
(fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))
#s(literal -4 binary64)
#s(literal 4 binary64)
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))
#s(literal -1 binary64)
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))
(*.f64 b b)
b
(fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))
(fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))
#s(literal 2 binary64)
#s(literal 12 binary64)
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 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 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) (fma.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) #s(literal -1 binary64))))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) a #s(literal -1 binary64)))
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) (fma.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) #s(literal -1 binary64)))
b
(*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))))
(*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))))
(fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
(fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))
(fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))
a
(fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64))
(fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 12 binary64)
(fma.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) a #s(literal -1 binary64))
(fma.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))
(*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))
(fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))
(fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))
#s(literal -4 binary64)
#s(literal -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 (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.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 (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))))
#s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64)))
#s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)))
(fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64))
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))
#s(literal 12 binary64)
(*.f64 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) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
(*.f64 (*.f64 a a) (*.f64 a a))
(*.f64 a (*.f64 a (*.f64 a a)))
(*.f64 a a)
a
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64))))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)))
(fma.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)))
b
(*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))))
(*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))))
(fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
(fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))
(fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))
a
(fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64))
(fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 12 binary64)
#s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) a (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64))))
(fma.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) a (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))))
(fma.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)))
(*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))
(*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))
a
(fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))
(fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))
#s(literal -4 binary64)
#s(literal 4 binary64)
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))
(fma.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))
(*.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b))
(*.f64 b b)
b
(fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))
(fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))
#s(literal 2 binary64)
#s(literal 12 binary64)

localize159.0ms (1.3%)

Memory
26.0MiB live, 215.6MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.015625
(fma.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) a (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))))
accuracy0.0390625
(*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))
accuracy6.954713473712779
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) a (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))))
accuracy7.822347369091205
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))
accuracy0.00390625
(fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
accuracy0.01953125
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)))
accuracy4.78254730422196
(*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))))
accuracy35.877577116050965
#s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64))
accuracy0
(*.f64 a a)
accuracy0.139003759768442
(*.f64 (*.f64 a a) (*.f64 a a))
accuracy32.366699560988195
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
accuracy0
(*.f64 b b)
accuracy0.05859375
(fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64))
accuracy6.954713473712779
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64))))
accuracy25.04152000362508
#s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64)))
accuracy0.01953125
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) a #s(literal -1 binary64)))
accuracy0.0390625
(fma.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) a #s(literal -1 binary64))
accuracy0.0390625
(*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))
accuracy4.78254730422196
(*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))))
Samples
95.0ms247×0valid
5.0ms2valid
2.0ms1valid
Compiler

Compiled 527 to 57 computations (89.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 77.0ms
ival-mult: 37.0ms (47.8% of total)
ival-add: 28.0ms (36.2% of total)
ival-neg: 5.0ms (6.5% of total)
ival-pow2: 3.0ms (3.9% of total)
adjust: 2.0ms (2.6% of total)
ival-sub: 2.0ms (2.6% of total)
exact: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series173.0ms (1.4%)

Memory
-42.2MiB live, 98.3MiB allocated
Counts
21 → 408
Calls
Call 1
Inputs
#s(alt (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (patch (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 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 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) a #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) a #s(literal -1 binary64))) (patch (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) a #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (patch (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64))) (patch #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 a a) (*.f64 a a)) (patch (*.f64 (*.f64 a a) (*.f64 a a)) #<representation binary64>) () ())
#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64))) (patch (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) (patch (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) a (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) a (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) a (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))) (patch (fma.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) a (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (patch (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) a #s(literal -1 binary64)) (patch (fma.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) a #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)) (patch #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())
Outputs
#s(alt 4 (taylor 0 a) (#s(alt (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (patch (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4 (* -4 a)) (taylor 0 a) (#s(alt (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (patch (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4 (* a (- a 4))) (taylor 0 a) (#s(alt (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (patch (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4 (* a (- a 4))) (taylor 0 a) (#s(alt (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (patch (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor inf a) (#s(alt (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (patch (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (- 1 (* 4 (/ 1 a)))) (taylor inf a) (#s(alt (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (patch (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) (taylor inf a) (#s(alt (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (patch (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) (taylor inf a) (#s(alt (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (patch (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (patch (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (- 1 (* 4 (/ 1 a)))) (taylor -inf a) (#s(alt (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (patch (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) (taylor -inf a) (#s(alt (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (patch (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) (taylor -inf a) (#s(alt (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (patch (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a))))) (taylor -inf b) (#s(alt (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a))))) (taylor -inf b) (#s(alt (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a))))) (taylor -inf b) (#s(alt (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a))))) (taylor -inf b) (#s(alt (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 12 (pow b 2)) (taylor 0 a) (#s(alt (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* a (pow b 2))) (* 12 (pow b 2))) (taylor 0 a) (#s(alt (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 12 (pow b 2)) (* a (+ (* 2 (* a (pow b 2))) (* 4 (pow b 2))))) (taylor 0 a) (#s(alt (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 12 (pow b 2)) (* a (+ (* 2 (* a (pow b 2))) (* 4 (pow b 2))))) (taylor 0 a) (#s(alt (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow a 2) (pow b 2))) (taylor inf a) (#s(alt (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) (taylor inf a) (#s(alt (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* 2 (pow b 2)) (+ (* 4 (/ (pow b 2) a)) (* 12 (/ (pow b 2) (pow a 2)))))) (taylor inf a) (#s(alt (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* 2 (pow b 2)) (+ (* 4 (/ (pow b 2) a)) (* 12 (/ (pow b 2) (pow a 2)))))) (taylor inf a) (#s(alt (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow a 2) (pow b 2))) (taylor -inf a) (#s(alt (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) (taylor -inf a) (#s(alt (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* -1 (/ (+ (* -12 (/ (pow b 2) a)) (* -4 (pow b 2))) a)) (* 2 (pow b 2)))) (taylor -inf a) (#s(alt (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* -1 (/ (+ (* -12 (/ (pow b 2) a)) (* -4 (pow b 2))) a)) (* 2 (pow b 2)))) (taylor -inf a) (#s(alt (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
Calls

102 calls:

TimeVariablePointExpression
35.0ms
b
@inf
(* (* b b) (+ (* a (+ (* a 2) 4)) 12))
15.0ms
a
@-inf
(* a (+ (* a a) (+ (* -4 a) 4)))
0.0ms
a
@inf
(+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))
0.0ms
a
@-inf
(+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))
0.0ms
a
@0
(* a (+ (* a a) (+ (* -4 a) 4)))

simplify355.0ms (2.9%)

Memory
-0.1MiB live, 242.1MiB allocated
Algorithm
egg-herbie
Rules
14 308×lower-fma.f64
14 308×lower-fma.f32
5 462×lower-+.f64
5 462×lower-+.f32
3 958×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02967504
19347160
229156929
371146922
080356252
Stop Event
iter limit
node limit
Counts
408 → 408
Calls
Call 1
Inputs
4
(+ 4 (* -4 a))
(+ 4 (* a (- a 4)))
(+ 4 (* a (- a 4)))
(pow a 2)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(pow a 2)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(- (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4))))
(- (* (pow b 2) (+ 12 (pow b 2))) 1)
(- (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))
(* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))
(* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))
(pow b 3)
(* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(pow b 3)
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) 1)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) 1)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) 1)))
(* b (+ 12 (pow b 2)))
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2))))
(+ (* a (+ (* 2 (* a b)) (* 4 b))) (* b (+ 12 (pow b 2))))
(+ (* a (+ (* 2 (* a b)) (* 4 b))) (* b (+ 12 (pow b 2))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* 2 b) (* 4 (/ b a))))
(* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (/ (* b (+ 12 (pow b 2))) (pow a 2)))))
(* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (/ (* b (+ 12 (pow b 2))) (pow a 2)))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* 2 b) (* 4 (/ b a))))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))) a)) (* 2 b)))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))) a)) (* 2 b)))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(- (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1)
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(- (* 12 (pow b 2)) 1)
(- (+ (* 4 (* a (pow b 2))) (* 12 (pow b 2))) 1)
(- (+ (* 12 (pow b 2)) (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))))) 1)
(- (+ (* 12 (pow b 2)) (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2)))))))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
-1
(- (* 12 (pow b 2)) 1)
(- (* 12 (pow b 2)) 1)
(- (* 12 (pow b 2)) 1)
(* 12 (pow b 2))
(* (pow b 2) (- 12 (/ 1 (pow b 2))))
(* (pow b 2) (- 12 (/ 1 (pow b 2))))
(* (pow b 2) (- 12 (/ 1 (pow b 2))))
(* 12 (pow b 2))
(* (pow b 2) (- 12 (/ 1 (pow b 2))))
(* (pow b 2) (- 12 (/ 1 (pow b 2))))
(* (pow b 2) (- 12 (/ 1 (pow b 2))))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(- (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4))))
(- (* (pow b 2) (+ 12 (pow b 2))) 1)
(- (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(+ 12 (* a (+ 4 (* 2 a))))
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))
(pow b 2)
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(+ 12 (pow b 2))
(+ 12 (+ (* 4 a) (pow b 2)))
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))
(* 2 (pow a 2))
(* (pow a 2) (+ 2 (* 4 (/ 1 a))))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (+ (/ 12 (pow a 2)) (/ (pow b 2) (pow a 2))))))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (+ (/ 12 (pow a 2)) (/ (pow b 2) (pow a 2))))))
(* 2 (pow a 2))
(* (pow a 2) (+ 2 (* 4 (/ 1 a))))
(* (pow a 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 12 (pow b 2)) a)) 4) a))))
(* (pow a 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 12 (pow b 2)) a)) 4) a))))
-1
(- (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a))))) 1)
(- (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a))))) 1)
(- (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a))))) 1)
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(* (pow b 2) (- (+ 12 (* a (+ 4 (* 2 a)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 12 (* a (+ 4 (* 2 a)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 12 (* a (+ 4 (* 2 a)))) (/ 1 (pow b 2))))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(* (pow b 2) (- (+ 12 (* a (+ 4 (* 2 a)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 12 (* a (+ 4 (* 2 a)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 12 (* a (+ 4 (* 2 a)))) (/ 1 (pow b 2))))
(- (* 12 (pow b 2)) 1)
(- (+ (* 4 (* a (pow b 2))) (* 12 (pow b 2))) 1)
(- (+ (* 12 (pow b 2)) (* a (+ (* 2 (* a (pow b 2))) (* 4 (pow b 2))))) 1)
(- (+ (* 12 (pow b 2)) (* a (+ (* 2 (* a (pow b 2))) (* 4 (pow b 2))))) 1)
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a))))
(* (pow a 2) (- (+ (* 2 (pow b 2)) (+ (* 4 (/ (pow b 2) a)) (* 12 (/ (pow b 2) (pow a 2))))) (/ 1 (pow a 2))))
(* (pow a 2) (- (+ (* 2 (pow b 2)) (+ (* 4 (/ (pow b 2) a)) (* 12 (/ (pow b 2) (pow a 2))))) (/ 1 (pow a 2))))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a))))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 (pow b 2)) (* -1 (/ (- (* 12 (pow b 2)) 1) a))) a)) (* 2 (pow b 2))))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 (pow b 2)) (* -1 (/ (- (* 12 (pow b 2)) 1) a))) a)) (* 2 (pow b 2))))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(- (* 12 (pow b 2)) 1)
(- (+ (* 4 (* a (pow b 2))) (* 12 (pow b 2))) 1)
(- (+ (* 12 (pow b 2)) (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))))) 1)
(- (+ (* 12 (pow b 2)) (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2)))))))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(- (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1)
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(* 4 a)
(* a (+ 4 (* -4 a)))
(* a (+ 4 (* a (- a 4))))
(* a (+ 4 (* a (- a 4))))
(pow a 3)
(* (pow a 3) (- 1 (* 4 (/ 1 a))))
(* (pow a 3) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(* (pow a 3) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(pow a 3)
(* -1 (* (pow a 3) (- (* 4 (/ 1 a)) 1)))
(* -1 (* (pow a 3) (- (* -1 (/ (- (* 4 (/ 1 a)) 4) a)) 1)))
(* -1 (* (pow a 3) (- (* -1 (/ (- (* 4 (/ 1 a)) 4) a)) 1)))
-1
(- (* 4 (pow a 2)) 1)
(- (* (pow a 2) (+ 4 (* -4 a))) 1)
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4)))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a))))
-1
(- (* 4 (pow a 2)) 1)
(- (* (pow a 2) (+ 4 (* -4 a))) 1)
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4)))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a))))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(* 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 (+ (* 2 (* a (pow b 2))) (* 4 (pow b 2)))))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a))))
(* (pow a 2) (+ (* 2 (pow b 2)) (+ (* 4 (/ (pow b 2) a)) (* 12 (/ (pow b 2) (pow a 2))))))
(* (pow a 2) (+ (* 2 (pow b 2)) (+ (* 4 (/ (pow b 2) a)) (* 12 (/ (pow b 2) (pow a 2))))))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a))))
(* (pow a 2) (+ (* -1 (/ (+ (* -12 (/ (pow b 2) a)) (* -4 (pow b 2))) a)) (* 2 (pow b 2))))
(* (pow a 2) (+ (* -1 (/ (+ (* -12 (/ (pow b 2) a)) (* -4 (pow b 2))) a)) (* 2 (pow b 2))))
Outputs
4
#s(literal 4 binary64)
(+ 4 (* -4 a))
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))
(+ 4 (* a (- a 4)))
(fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64))
(+ 4 (* a (- a 4)))
(fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(*.f64 a (fma.f64 a (/.f64 #s(literal -4 binary64) a) a))
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(*.f64 a (fma.f64 a (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a) a))
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(*.f64 a (fma.f64 a (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a) a))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(*.f64 a (fma.f64 a (/.f64 #s(literal -4 binary64) a) a))
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(*.f64 a (fma.f64 a (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a) a))
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(*.f64 a (fma.f64 a (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a) a))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(fma.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) a)) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(fma.f64 b (*.f64 b (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) #s(literal -1 binary64)))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)) (*.f64 (*.f64 a a) (*.f64 a a)))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a)))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a)))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)) (*.f64 (*.f64 a a) (*.f64 a a)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
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(pow a 4)
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(* (pow a 4) (- 1 (* 4 (/ 1 a))))
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(fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) a)) (fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64)))
(- (+ (* 12 (pow b 2)) (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2)))))))) 1)
(fma.f64 b (*.f64 b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) #s(literal -1 binary64)))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)) (*.f64 (*.f64 a a) (*.f64 a a)))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a)))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a)))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)) (*.f64 (*.f64 a a) (*.f64 a a)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 4 binary64)) a)) a)))
(- (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) 1)
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1)
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64))) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) #s(literal -1 binary64)))
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1)
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64))) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) #s(literal -1 binary64)))
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1)
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64))) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) #s(literal -1 binary64)))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(*.f64 b (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(*.f64 b (*.f64 b (+.f64 #s(literal 12 binary64) (fma.f64 a (fma.f64 a (/.f64 (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (*.f64 b b)) (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 b b))))))
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(*.f64 b (*.f64 b (+.f64 #s(literal 12 binary64) (fma.f64 a (fma.f64 a (/.f64 (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (*.f64 b b)) (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 b b))))))
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(*.f64 b (*.f64 b (+.f64 #s(literal 12 binary64) (fma.f64 a (fma.f64 a (/.f64 (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (*.f64 b b)) (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 b b))))))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(*.f64 b (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(*.f64 b (*.f64 b (+.f64 #s(literal 12 binary64) (fma.f64 a (fma.f64 a (/.f64 (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (*.f64 b b)) (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 b b))))))
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(*.f64 b (*.f64 b (+.f64 #s(literal 12 binary64) (fma.f64 a (fma.f64 a (/.f64 (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (*.f64 b b)) (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 b b))))))
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(*.f64 b (*.f64 b (+.f64 #s(literal 12 binary64) (fma.f64 a (fma.f64 a (/.f64 (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (*.f64 b b)) (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 b b))))))
(* 4 a)
(*.f64 #s(literal 4 binary64) a)
(* a (+ 4 (* -4 a)))
(*.f64 a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
(* a (+ 4 (* a (- a 4))))
(*.f64 a (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)))
(* a (+ 4 (* a (- a 4))))
(*.f64 a (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)))
(pow a 3)
(*.f64 a (*.f64 a a))
(* (pow a 3) (- 1 (* 4 (/ 1 a))))
(*.f64 a (*.f64 a (fma.f64 a (/.f64 #s(literal -4 binary64) a) a)))
(* (pow a 3) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(*.f64 (*.f64 a a) (fma.f64 a (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a) a))
(* (pow a 3) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(*.f64 (*.f64 a a) (fma.f64 a (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a) a))
(pow a 3)
(*.f64 a (*.f64 a a))
(* -1 (* (pow a 3) (- (* 4 (/ 1 a)) 1)))
(*.f64 a (*.f64 a (fma.f64 a (/.f64 #s(literal -4 binary64) a) a)))
(* -1 (* (pow a 3) (- (* -1 (/ (- (* 4 (/ 1 a)) 4) a)) 1)))
(*.f64 (*.f64 a a) (fma.f64 a (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a) a))
(* -1 (* (pow a 3) (- (* -1 (/ (- (* 4 (/ 1 a)) 4) a)) 1)))
(*.f64 (*.f64 a a) (fma.f64 a (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a) a))
-1
#s(literal -1 binary64)
(- (* 4 (pow a 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(- (* (pow a 2) (+ 4 (* -4 a))) 1)
(fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1)
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)) (*.f64 (*.f64 a a) (*.f64 a a)))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (*.f64 (*.f64 a a) (*.f64 a a)))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4)))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)) (*.f64 (*.f64 a a) (*.f64 a a)))
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (*.f64 (*.f64 a a) (*.f64 a a)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a a))) a)) a)))
-1
#s(literal -1 binary64)
(- (* 4 (pow a 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(- (* (pow a 2) (+ 4 (* -4 a))) 1)
(fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1)
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)) (*.f64 (*.f64 a a) (*.f64 a a)))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (*.f64 (*.f64 a a) (*.f64 a a)))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4)))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)) (*.f64 (*.f64 a a) (*.f64 a a)))
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (*.f64 (*.f64 a a) (*.f64 a a)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a a))) a)) a)))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(*.f64 b (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(*.f64 b (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(*.f64 b (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(*.f64 b (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(*.f64 b (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(*.f64 b (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(*.f64 b (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(*.f64 b (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(*.f64 b (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(*.f64 b (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(*.f64 b (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(*.f64 b (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))
(* 12 (pow b 2))
(*.f64 #s(literal 12 binary64) (*.f64 b b))
(+ (* 4 (* a (pow b 2))) (* 12 (pow b 2)))
(*.f64 b (*.f64 b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))))
(+ (* 12 (pow b 2)) (* a (+ (* 2 (* a (pow b 2))) (* 4 (pow b 2)))))
(*.f64 b (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))
(+ (* 12 (pow b 2)) (* a (+ (* 2 (* a (pow b 2))) (* 4 (pow b 2)))))
(*.f64 b (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))
(* 2 (* (pow a 2) (pow b 2)))
(*.f64 (*.f64 a a) (*.f64 #s(literal 2 binary64) (*.f64 b b)))
(* (pow a 2) (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a))))
(*.f64 a (*.f64 a (*.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)))))
(* (pow a 2) (+ (* 2 (pow b 2)) (+ (* 4 (/ (pow b 2) a)) (* 12 (/ (pow b 2) (pow a 2))))))
(*.f64 a (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 (/.f64 (*.f64 b b) a) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 12 binary64) a))))))
(* (pow a 2) (+ (* 2 (pow b 2)) (+ (* 4 (/ (pow b 2) a)) (* 12 (/ (pow b 2) (pow a 2))))))
(*.f64 a (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 (/.f64 (*.f64 b b) a) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 12 binary64) a))))))
(* 2 (* (pow a 2) (pow b 2)))
(*.f64 (*.f64 a a) (*.f64 #s(literal 2 binary64) (*.f64 b b)))
(* (pow a 2) (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a))))
(*.f64 a (*.f64 a (*.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)))))
(* (pow a 2) (+ (* -1 (/ (+ (* -12 (/ (pow b 2) a)) (* -4 (pow b 2))) a)) (* 2 (pow b 2))))
(*.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 b b) (/.f64 (*.f64 (*.f64 b b) #s(literal -12 binary64)) a)) (neg.f64 a))))
(* (pow a 2) (+ (* -1 (/ (+ (* -12 (/ (pow b 2) a)) (* -4 (pow b 2))) a)) (* 2 (pow b 2))))
(*.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 b b) (/.f64 (*.f64 (*.f64 b b) #s(literal -12 binary64)) a)) (neg.f64 a))))

rewrite489.0ms (4%)

Memory
38.7MiB live, 421.5MiB allocated
Rules
6 616×lower-*.f32
6 604×lower-*.f64
6 146×lower-fma.f32
6 124×lower-fma.f64
3 306×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060502
089506
1489474
24331474
010541437
Stop Event
iter limit
node limit
iter limit
Counts
21 → 566
Calls
Call 1
Inputs
(fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) a #s(literal -1 binary64))))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) a #s(literal -1 binary64)))
(*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64))))
#s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64)))
(fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64))
(*.f64 b b)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
(*.f64 (*.f64 a a) (*.f64 a a))
(*.f64 a a)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64))))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)))
(fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) a (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))))
(fma.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) a (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))))
(*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))
(fma.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) a #s(literal -1 binary64))
#s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64))
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))
Outputs
(+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 a #s(literal -4 binary64))))
(+.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (*.f64 a a))
(+.f64 (*.f64 a #s(literal -4 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 a a)))
(+.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))
(+.f64 (*.f64 a (+.f64 a #s(literal -4 binary64))) #s(literal 4 binary64))
(+.f64 (fma.f64 a a #s(literal 4 binary64)) (*.f64 a #s(literal -4 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (-.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 1 binary64) a)) #s(literal 16 binary64)) (-.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))))
(fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))
(fma.f64 a #s(literal -4 binary64) (+.f64 #s(literal 4 binary64) (*.f64 a a)))
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))
(fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a)))
(fma.f64 #s(literal 4 binary64) (neg.f64 a) (+.f64 #s(literal 4 binary64) (*.f64 a a)))
(fma.f64 #s(literal 1 binary64) (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a))
(fma.f64 #s(literal -1 binary64) (*.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 a a)))
(fma.f64 (neg.f64 a) #s(literal 4 binary64) (+.f64 #s(literal 4 binary64) (*.f64 a a)))
(fma.f64 (neg.f64 a) (neg.f64 a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))
(fma.f64 (*.f64 a a) #s(literal 1 binary64) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))
(fma.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal -64 binary64) #s(literal 64 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 a a) #s(literal 16 binary64) #s(literal 16 binary64)) (*.f64 a #s(literal -16 binary64)))) (*.f64 a a))
(fma.f64 (fma.f64 (*.f64 a a) #s(literal 16 binary64) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal -4 binary64) #s(literal -4 binary64))) (*.f64 a a))
(fma.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 1 binary64) a))) #s(literal 64 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))))))
(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 1 binary64) a))) #s(literal 64 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) (fma.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a))))
(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 1 binary64) a))) #s(literal 64 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 1 binary64) a)) #s(literal 16 binary64) (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 a (*.f64 a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))))))
(/.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))) (-.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 1 binary64) a))) #s(literal 64 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a))))) (neg.f64 (fma.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))))) (neg.f64 (-.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))))
(/.f64 (fma.f64 (*.f64 a (+.f64 a #s(literal -4 binary64))) (*.f64 (*.f64 a (+.f64 a #s(literal -4 binary64))) (*.f64 a (+.f64 a #s(literal -4 binary64)))) #s(literal 64 binary64)) (fma.f64 (*.f64 a (+.f64 a #s(literal -4 binary64))) (*.f64 a (+.f64 a #s(literal -4 binary64))) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 a (+.f64 a #s(literal -4 binary64))) #s(literal 4 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 a (+.f64 a #s(literal -4 binary64))) (*.f64 a (+.f64 a #s(literal -4 binary64)))) #s(literal 16 binary64)) (-.f64 (*.f64 a (+.f64 a #s(literal -4 binary64))) #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 1 binary64) a)) #s(literal 16 binary64)) (*.f64 (*.f64 a a) (*.f64 a a))) (-.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (*.f64 a a)))
(pow.f64 (/.f64 (fma.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 1 binary64) a))) #s(literal 64 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 1 binary64) a))) #s(literal 64 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a)))))
(*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))))
(+.f64 #s(literal -1 binary64) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) (*.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))))))
(+.f64 (fma.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)) (*.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))))
(+.f64 (*.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))) (fma.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(+.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a)) (+.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))))))
(+.f64 (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) (*.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))))) #s(literal -1 binary64))
(+.f64 (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(literal -1 binary64)) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a)))
(-.f64 (/.f64 (*.f64 (*.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))) (*.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))))) (-.f64 (*.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))) (fma.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))) (/.f64 (*.f64 (fma.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)) (fma.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) (-.f64 (*.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))) (fma.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))))
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))))))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(fma.f64 (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) b (fma.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(fma.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) a (+.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))))))
(fma.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a) (+.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))))))
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a)) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) (neg.f64 a)))) (*.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal 1 binary64))) (*.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)) (-.f64 (fma.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)) (*.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))))) (*.f64 (*.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))) (*.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))))) (fma.f64 (fma.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (fma.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)) (fma.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) (*.f64 (*.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))) (*.f64 (*.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))) (*.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))))))))
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(/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 a (*.f64 a a)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 1 binary64) a))) #s(literal 64 binary64)) (*.f64 a (*.f64 a a)))) (fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)) (-.f64 (*.f64 (*.f64 a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 (*.f64 a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))))) (-.f64 (*.f64 a (*.f64 a a)) (*.f64 a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))))
(/.f64 (*.f64 a (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 1 binary64) a))) #s(literal 64 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a))))) (fma.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a))))
(/.f64 (*.f64 a (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))))) (-.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 1 binary64) a))) #s(literal 64 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) a) (fma.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a))))
(/.f64 (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))) a) (-.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))))
(*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))
(*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a)
(+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a)))
(+.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (fma.f64 a (*.f64 a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a)) #s(literal -1 binary64))
(+.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 a (*.f64 a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))) (fma.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal 1 binary64))))
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 a (*.f64 a (*.f64 a a)) (fma.f64 a (*.f64 a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (*.f64 a a)) (fma.f64 a (*.f64 a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
(fma.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) a #s(literal -1 binary64))
(fma.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) (*.f64 a a) (fma.f64 a (*.f64 a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
(fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1 binary64) (fma.f64 a (*.f64 a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
(fma.f64 (*.f64 a (*.f64 a a)) a (fma.f64 a (*.f64 a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) (neg.f64 a))) (fma.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a)) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a)) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (-.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) (neg.f64 a))))
(/.f64 (fma.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a)) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))) (*.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) (neg.f64 a)))))
(/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a)) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) (neg.f64 a)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))) (neg.f64 (fma.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))))) (-.f64 #s(literal -1 binary64) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) (neg.f64 a))) (fma.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a)) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a)) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) (neg.f64 a)))))
(*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal 1 binary64))))
#s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64))
(+.f64 (*.f64 b (*.f64 b #s(literal 12 binary64))) (*.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 a (*.f64 b b))))
(+.f64 (*.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 a (*.f64 b b))) (*.f64 b (*.f64 b #s(literal 12 binary64))))
(fma.f64 a (*.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b)) (*.f64 b (*.f64 b #s(literal 12 binary64))))
(fma.f64 b (*.f64 a (*.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) b)) (*.f64 b (*.f64 b #s(literal 12 binary64))))
(fma.f64 b (*.f64 b #s(literal 12 binary64)) (*.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 a (*.f64 b b))))
(fma.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 a (*.f64 b b)) (*.f64 b (*.f64 b #s(literal 12 binary64))))
(fma.f64 #s(literal 12 binary64) (*.f64 b b) (*.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 a (*.f64 b b))))
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (*.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 a (*.f64 b b))))
(fma.f64 (*.f64 b b) (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b (*.f64 b #s(literal 12 binary64))))
(fma.f64 (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) (*.f64 b (*.f64 b #s(literal 12 binary64))))
(fma.f64 (*.f64 a (*.f64 b b)) (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b (*.f64 b #s(literal 12 binary64))))
(fma.f64 (*.f64 a (*.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) b)) b (*.f64 b (*.f64 b #s(literal 12 binary64))))
(fma.f64 (*.f64 b #s(literal 12 binary64)) b (*.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 a (*.f64 b b))))
(fma.f64 (*.f64 (*.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))) a (*.f64 b (*.f64 b #s(literal 12 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 a (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)))))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 #s(literal 1728 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (fma.f64 (*.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 a (*.f64 b b))) (*.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 a (*.f64 b b))) (-.f64 (*.f64 #s(literal 144 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 a (*.f64 b b))) (*.f64 b (*.f64 b #s(literal 12 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 a (*.f64 b b))) (*.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 a (*.f64 b b)))) (*.f64 #s(literal 144 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (-.f64 (*.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 a (*.f64 b b))) (*.f64 b (*.f64 b #s(literal 12 binary64)))))
(/.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 a (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))))) #s(literal 1728 binary64))) (-.f64 (fma.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 a (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)))) #s(literal 144 binary64)) (*.f64 #s(literal 12 binary64) (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))))))
(/.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal -144 binary64))) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal -12 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 a (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))))) #s(literal 1728 binary64)) (*.f64 b b)) (-.f64 (fma.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 a (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)))) #s(literal 144 binary64)) (*.f64 #s(literal 12 binary64) (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))))))
(/.f64 (*.f64 (fma.f64 (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal -144 binary64)) (*.f64 b b)) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal -12 binary64)))
(*.f64 b (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))
(*.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b))
(*.f64 (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) b)
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))

eval265.0ms (2.2%)

Memory
-28.9MiB live, 208.8MiB allocated
Compiler

Compiled 66 837 to 2 224 computations (96.7% saved)

prune221.0ms (1.8%)

Memory
22.0MiB live, 296.6MiB allocated
Pruning

18 alts after pruning (15 fresh and 3 done)

PrunedKeptTotal
New1 18281 190
Fresh5712
Picked325
Done011
Total1 190181 208
Accuracy
100.0%
Counts
1 208 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.9%
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
68.3%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
69.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) a #s(approx (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12))) #s(literal -1 binary64))))
81.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))))
99.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a #s(literal -1 binary64))))
79.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) -1) (*.f64 (*.f64 a a) (*.f64 a a)))))
83.3%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64))))
68.3%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)))
71.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a (*.f64 a a)) a (fma.f64 a (*.f64 a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))))
68.3%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 (*.f64 a a) (*.f64 a a)))))
49.4%
#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)))
49.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
48.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))
49.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
69.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))))
51.3%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 b #s(literal 12 binary64)) b #s(literal -1 binary64))))
31.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -1) (*.f64 #s(literal 12 binary64) (*.f64 b b)))))
21.2%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -1) #s(literal -1 binary64))))
Compiler

Compiled 561 to 302 computations (46.2% saved)

simplify349.0ms (2.8%)

Memory
4.0MiB live, 376.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)))
cost-diff0
(fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))))
cost-diff128
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))
cost-diff0
(*.f64 a a)
cost-diff0
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
cost-diff0
#s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))))
cost-diff0
(*.f64 b b)
cost-diff0
(*.f64 b (*.f64 b b))
cost-diff0
(*.f64 b (*.f64 b (*.f64 b b)))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))
cost-diff0
#s(approx (+ (* 12 (* b b)) -1) #s(literal -1 binary64))
cost-diff0
#s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -1) #s(literal -1 binary64)))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -1) #s(literal -1 binary64))))
cost-diff0
(fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
cost-diff0
(*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))))
cost-diff0
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a 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 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a #s(literal -1 binary64))))
Rules
24 736×lower-fma.f32
24 718×lower-fma.f64
4 180×lower-+.f32
4 176×lower-+.f64
3 966×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076651
0103648
1251596
2658596
31577596
42545596
53746596
66889596
08501571
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a #s(literal -1 binary64))))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a #s(literal -1 binary64)))
b
(*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))))
(fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))
a
(fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 12 binary64)
(fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a #s(literal -1 binary64))
(*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)))
#s(approx (+ (* a a) (+ (* -4 a) 4)) (*.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) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -1) #s(literal -1 binary64))))
#s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -1) #s(literal -1 binary64)))
#s(approx (+ (* 12 (* b b)) -1) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))
(*.f64 b (*.f64 b (*.f64 b b)))
b
(*.f64 b (*.f64 b b))
(*.f64 b b)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))))
#s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 a a)
a
(fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64))
(+.f64 #s(literal -4 binary64) a)
#s(literal -4 binary64)
#s(literal 4 binary64)
#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 #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))))
(fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))))
(*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)))
a
#s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))
(*.f64 a a)
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))
#s(literal -1 binary64)
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))
(*.f64 b b)
b
(fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))
(fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 12 binary64)
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 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 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)))
b
(*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))))
(*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))))
(fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
(fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))
(fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))
a
(fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64))
(fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 12 binary64)
(fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a #s(literal -1 binary64))
(fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)) #s(literal -1 binary64))
(*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)))
#s(approx (+ (* a a) (+ (* -4 a) 4)) (*.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) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -1) #s(literal -1 binary64))))
#s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -1) #s(literal -1 binary64)))
#s(approx (+ (* 12 (* b b)) -1) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))
(*.f64 b (*.f64 b (*.f64 b b)))
b
(*.f64 b (*.f64 b b))
(*.f64 b b)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))))
#s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 a a)
a
(fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64))
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))
(+.f64 #s(literal -4 binary64) a)
(+.f64 a #s(literal -4 binary64))
#s(literal -4 binary64)
#s(literal 4 binary64)
#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 #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))))
(fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) #s(literal -1 binary64)))
(*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)))
a
#s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))
(*.f64 a a)
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))
(*.f64 b b)
b
(fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))
(fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 12 binary64)

localize170.0ms (1.4%)

Memory
-3.9MiB live, 224.9MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0390625
(*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)))
accuracy6.954713473712779
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))))
accuracy7.822347369091205
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))
accuracy27.452228339549894
#s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))
accuracy0
(*.f64 a a)
accuracy0.08822250976844202
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
accuracy6.954713473712779
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))))
accuracy19.30903693713796
#s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))
accuracy0
(*.f64 b b)
accuracy0.05078125
(*.f64 b (*.f64 b (*.f64 b b)))
accuracy0.0625
(*.f64 b (*.f64 b b))
accuracy33.276876994547344
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))
accuracy6.954713473712779
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -1) #s(literal -1 binary64))))
accuracy25.04152000362508
#s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -1) #s(literal -1 binary64)))
accuracy32.61701741267297
#s(approx (+ (* 12 (* b b)) -1) #s(literal -1 binary64))
accuracy0.0390625
(fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a #s(literal -1 binary64))
accuracy0.0390625
(*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)))
accuracy4.78254730422196
(*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))))
accuracy27.452228339549894
#s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))
Samples
99.0ms247×0valid
6.0ms2valid
2.0ms1valid
Compiler

Compiled 482 to 62 computations (87.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
ival-mult: 37.0ms (53.1% of total)
ival-add: 23.0ms (33% of total)
adjust: 2.0ms (2.9% of total)
ival-sub: 2.0ms (2.9% of total)
ival-pow2: 2.0ms (2.9% of total)
exact: 1.0ms (1.4% of total)
ival-neg: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series28.0ms (0.2%)

Memory
12.3MiB live, 48.1MiB allocated
Counts
22 → 420
Calls
Call 1
Inputs
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a 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 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a #s(literal -1 binary64))) (patch (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (patch (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -1) #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -1) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -1) #s(literal -1 binary64))) (patch #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -1) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 12 (* b b)) -1) #s(literal -1 binary64)) (patch #s(approx (+ (* 12 (* b b)) -1) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b)))) #<representation binary64>) () ())
#s(alt (*.f64 b (*.f64 b (*.f64 b b))) (patch (*.f64 b (*.f64 b (*.f64 b b))) #<representation binary64>) () ())
#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())
#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))) (patch #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) (patch (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))) (patch (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) (patch (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)) (patch #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a #s(literal -1 binary64)) (patch (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())
Outputs
#s(alt (- (+ (* 12 (pow b 2)) (pow b 4)) 1) (taylor 0 a) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a 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 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) (taylor 0 a) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a 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 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) (taylor 0 a) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a 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 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) (taylor 0 a) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a 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 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor inf a) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a 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 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (- 1 (* 4 (/ 1 a)))) (taylor inf a) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a 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 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) (taylor inf a) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a 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 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) (taylor inf a) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a 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 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor -inf a) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a 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 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (- 1 (* 4 (/ 1 a)))) (taylor -inf a) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a 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 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) (taylor -inf a) (#s(alt #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)) (patch #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 a) (#s(alt (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a #s(literal -1 binary64)) (patch (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (pow a 2)) 1) (taylor 0 a) (#s(alt (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a #s(literal -1 binary64)) (patch (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow a 2) (+ 4 (* -4 a))) 1) (taylor 0 a) (#s(alt (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a #s(literal -1 binary64)) (patch (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow a 2) (+ 4 (* a (- a 4)))) 1) (taylor 0 a) (#s(alt (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a #s(literal -1 binary64)) (patch (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor inf a) (#s(alt (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a #s(literal -1 binary64)) (patch (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) 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 #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a #s(literal -1 binary64)) (patch (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) (taylor inf a) (#s(alt (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a #s(literal -1 binary64)) (patch (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4))))) (taylor inf a) (#s(alt (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a #s(literal -1 binary64)) (patch (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor -inf a) (#s(alt (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a #s(literal -1 binary64)) (patch (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) 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 #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a #s(literal -1 binary64)) (patch (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) 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 #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a #s(literal -1 binary64)) (patch (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) 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 #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a #s(literal -1 binary64)) (patch (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a))))) (taylor 0 b) (#s(alt (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a))))) (taylor 0 b) (#s(alt (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a))))) (taylor 0 b) (#s(alt (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a))))) (taylor 0 b) (#s(alt (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a))))) (taylor inf b) (#s(alt (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a))))) (taylor inf b) (#s(alt (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a))))) (taylor inf b) (#s(alt (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a))))) (taylor inf b) (#s(alt (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a))))) (taylor -inf b) (#s(alt (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a))))) (taylor -inf b) (#s(alt (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a))))) (taylor -inf b) (#s(alt (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a))))) (taylor -inf b) (#s(alt (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 12 (pow b 2)) (taylor 0 a) (#s(alt (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* a (pow b 2))) (* 12 (pow b 2))) (taylor 0 a) (#s(alt (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 12 (pow b 2)) (* a (+ (* 2 (* a (pow b 2))) (* 4 (pow b 2))))) (taylor 0 a) (#s(alt (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 12 (pow b 2)) (* a (+ (* 2 (* a (pow b 2))) (* 4 (pow b 2))))) (taylor 0 a) (#s(alt (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow a 2) (pow b 2))) (taylor inf a) (#s(alt (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) (taylor inf a) (#s(alt (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* 2 (pow b 2)) (+ (* 4 (/ (pow b 2) a)) (* 12 (/ (pow b 2) (pow a 2)))))) (taylor inf a) (#s(alt (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* 2 (pow b 2)) (+ (* 4 (/ (pow b 2) a)) (* 12 (/ (pow b 2) (pow a 2)))))) (taylor inf a) (#s(alt (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow a 2) (pow b 2))) (taylor -inf a) (#s(alt (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) (taylor -inf a) (#s(alt (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* -1 (/ (+ (* -12 (/ (pow b 2) a)) (* -4 (pow b 2))) a)) (* 2 (pow b 2)))) (taylor -inf a) (#s(alt (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* -1 (/ (+ (* -12 (/ (pow b 2) a)) (* -4 (pow b 2))) a)) (* 2 (pow b 2)))) (taylor -inf a) (#s(alt (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
Calls

105 calls:

TimeVariablePointExpression
0.0ms
b
@0
(* b (* b b))
0.0ms
b
@0
(* b (* b (* b b)))
0.0ms
b
@-inf
(* b (* b b))
0.0ms
b
@inf
(* b (* b b))
0.0ms
b
@inf
(* b (* b (* b b)))

simplify340.0ms (2.8%)

Memory
-22.6MiB live, 384.6MiB allocated
Algorithm
egg-herbie
Rules
14 308×lower-fma.f64
14 308×lower-fma.f32
5 462×lower-+.f64
5 462×lower-+.f32
3 958×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02967524
19347176
229176941
371206934
080366262
Stop Event
iter limit
node limit
Counts
420 → 420
Calls
Call 1
Inputs
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(- (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4))))
(- (* (pow b 2) (+ 12 (pow b 2))) 1)
(- (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))
(* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))
(* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))
(pow b 3)
(* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(pow b 3)
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) 1)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) 1)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) 1)))
(* b (+ 12 (pow b 2)))
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2))))
(+ (* a (+ (* 2 (* a b)) (* 4 b))) (* b (+ 12 (pow b 2))))
(+ (* a (+ (* 2 (* a b)) (* 4 b))) (* b (+ 12 (pow b 2))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* 2 b) (* 4 (/ b a))))
(* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (/ (* b (+ 12 (pow b 2))) (pow a 2)))))
(* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (/ (* b (+ 12 (pow b 2))) (pow a 2)))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* 2 b) (* 4 (/ b a))))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))) a)) (* 2 b)))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))) a)) (* 2 b)))
(+ 12 (* a (+ 4 (* 2 a))))
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))
(pow b 2)
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(+ 12 (pow b 2))
(+ 12 (+ (* 4 a) (pow b 2)))
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))
(* 2 (pow a 2))
(* (pow a 2) (+ 2 (* 4 (/ 1 a))))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (+ (/ 12 (pow a 2)) (/ (pow b 2) (pow a 2))))))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (+ (/ 12 (pow a 2)) (/ (pow b 2) (pow a 2))))))
(* 2 (pow a 2))
(* (pow a 2) (+ 2 (* 4 (/ 1 a))))
(* (pow a 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 12 (pow b 2)) a)) 4) a))))
(* (pow a 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 12 (pow b 2)) a)) 4) a))))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(- (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1)
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(- (* 12 (pow b 2)) 1)
(- (+ (* 4 (* a (pow b 2))) (* 12 (pow b 2))) 1)
(- (+ (* 12 (pow b 2)) (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))))) 1)
(- (+ (* 12 (pow b 2)) (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2)))))))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
-1
(- (* 12 (pow b 2)) 1)
(- (* 12 (pow b 2)) 1)
(- (* 12 (pow b 2)) 1)
(* 12 (pow b 2))
(* (pow b 2) (- 12 (/ 1 (pow b 2))))
(* (pow b 2) (- 12 (/ 1 (pow b 2))))
(* (pow b 2) (- 12 (/ 1 (pow b 2))))
(* 12 (pow b 2))
(* (pow b 2) (- 12 (/ 1 (pow b 2))))
(* (pow b 2) (- 12 (/ 1 (pow b 2))))
(* (pow b 2) (- 12 (/ 1 (pow b 2))))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(- (* 12 (pow b 2)) 1)
(- (+ (* 4 (* a (pow b 2))) (* 12 (pow b 2))) 1)
(- (+ (* 12 (pow b 2)) (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))))) 1)
(- (+ (* 12 (pow b 2)) (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2)))))))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(- (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1)
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
-1
(- (* 4 (pow a 2)) 1)
(- (* (pow a 2) (+ 4 (* -4 a))) 1)
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4)))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a))))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
-1
(- (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a))))) 1)
(- (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a))))) 1)
(- (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a))))) 1)
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(* (pow b 2) (- (+ 12 (* a (+ 4 (* 2 a)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 12 (* a (+ 4 (* 2 a)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 12 (* a (+ 4 (* 2 a)))) (/ 1 (pow b 2))))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(* (pow b 2) (- (+ 12 (* a (+ 4 (* 2 a)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 12 (* a (+ 4 (* 2 a)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 12 (* a (+ 4 (* 2 a)))) (/ 1 (pow b 2))))
(- (* 12 (pow b 2)) 1)
(- (+ (* 4 (* a (pow b 2))) (* 12 (pow b 2))) 1)
(- (+ (* 12 (pow b 2)) (* a (+ (* 2 (* a (pow b 2))) (* 4 (pow b 2))))) 1)
(- (+ (* 12 (pow b 2)) (* a (+ (* 2 (* a (pow b 2))) (* 4 (pow b 2))))) 1)
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a))))
(* (pow a 2) (- (+ (* 2 (pow b 2)) (+ (* 4 (/ (pow b 2) a)) (* 12 (/ (pow b 2) (pow a 2))))) (/ 1 (pow a 2))))
(* (pow a 2) (- (+ (* 2 (pow b 2)) (+ (* 4 (/ (pow b 2) a)) (* 12 (/ (pow b 2) (pow a 2))))) (/ 1 (pow a 2))))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a))))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 (pow b 2)) (* -1 (/ (- (* 12 (pow b 2)) 1) a))) a)) (* 2 (pow b 2))))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 (pow b 2)) (* -1 (/ (- (* 12 (pow b 2)) 1) a))) a)) (* 2 (pow b 2))))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(- (* 12 (pow b 2)) 1)
(- (+ (* 4 (* a (pow b 2))) (* 12 (pow b 2))) 1)
(- (+ (* 12 (pow b 2)) (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))))) 1)
(- (+ (* 12 (pow b 2)) (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2)))))))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(- (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1)
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(* 4 a)
(* a (+ 4 (* -4 a)))
(* a (+ 4 (* a (- a 4))))
(* a (+ 4 (* a (- a 4))))
(pow a 3)
(* (pow a 3) (- 1 (* 4 (/ 1 a))))
(* (pow a 3) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(* (pow a 3) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(pow a 3)
(* -1 (* (pow a 3) (- (* 4 (/ 1 a)) 1)))
(* -1 (* (pow a 3) (- (* -1 (/ (- (* 4 (/ 1 a)) 4) a)) 1)))
(* -1 (* (pow a 3) (- (* -1 (/ (- (* 4 (/ 1 a)) 4) a)) 1)))
4
(+ 4 (* -4 a))
(+ 4 (* a (- a 4)))
(+ 4 (* a (- a 4)))
(pow a 2)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(pow a 2)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
-1
(- (* 4 (pow a 2)) 1)
(- (* (pow a 2) (+ 4 (* -4 a))) 1)
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4)))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a))))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(* 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 (+ (* 2 (* a (pow b 2))) (* 4 (pow b 2)))))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a))))
(* (pow a 2) (+ (* 2 (pow b 2)) (+ (* 4 (/ (pow b 2) a)) (* 12 (/ (pow b 2) (pow a 2))))))
(* (pow a 2) (+ (* 2 (pow b 2)) (+ (* 4 (/ (pow b 2) a)) (* 12 (/ (pow b 2) (pow a 2))))))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a))))
(* (pow a 2) (+ (* -1 (/ (+ (* -12 (/ (pow b 2) a)) (* -4 (pow b 2))) a)) (* 2 (pow b 2))))
(* (pow a 2) (+ (* -1 (/ (+ (* -12 (/ (pow b 2) a)) (* -4 (pow b 2))) a)) (* 2 (pow b 2))))
Outputs
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal -1 binary64))
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (fma.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 (fma.f64 (*.f64 b #s(literal 2 binary64)) (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a)))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a))))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 4 binary64)) a)) a)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 a (-.f64 a (*.f64 a a))) (fma.f64 (*.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 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 a (-.f64 a (*.f64 a a))) (fma.f64 (*.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 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))) (fma.f64 #s(literal 4 binary64) (*.f64 a (-.f64 a (*.f64 a a))) (fma.f64 (*.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 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))) (fma.f64 #s(literal 4 binary64) (*.f64 a (-.f64 a (*.f64 a a))) (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -1 binary64))))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 (+.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (+.f64 (fma.f64 (+.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (+.f64 (fma.f64 (+.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 (+.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (+.f64 (fma.f64 (+.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (+.f64 (fma.f64 (+.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))
(- (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) 1)
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1)
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) #s(literal -1 binary64)))
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1)
(fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1)
(fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) (fma.f64 a (fma.f64 a (/.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (*.f64 b b))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) (fma.f64 a (fma.f64 a (/.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (*.f64 b b))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) (fma.f64 a (fma.f64 a (/.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (*.f64 b b))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) (fma.f64 a (fma.f64 a (/.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (*.f64 b b))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))))
(- (* (pow b 2) (+ 12 (pow b 2))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))
(- (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal -1 binary64))
(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (fma.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 (fma.f64 (*.f64 b #s(literal 2 binary64)) (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a)))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a))))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 4 binary64)) a)) a)))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
(* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))
(*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))))
(* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))
(*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))))
(* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))
(*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))))
(pow b 3)
(*.f64 b (*.f64 b b))
(* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 12 binary64) (*.f64 b b))) b))
(* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 12 binary64) (*.f64 b b))) b))
(* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 12 binary64) (*.f64 b b))) b))
(pow b 3)
(*.f64 b (*.f64 b b))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b))) (neg.f64 (*.f64 b (*.f64 b b))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b))) (neg.f64 (*.f64 b (*.f64 b b))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) 1)))
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(* (pow a 4) (- 1 (* 4 (/ 1 a))))
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(* (pow b 2) (- 12 (/ 1 (pow b 2))))
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(* 12 (pow b 2))
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(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)))
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(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
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(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
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(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
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(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
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(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
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(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
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(pow b 4)
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(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
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(pow b 4)
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(pow b 4)
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(pow b 4)
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(pow b 4)
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(pow b 4)
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(pow b 4)
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(pow b 4)
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(pow b 3)
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(pow b 3)
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(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
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(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
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(pow a 4)
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(* (pow a 4) (- 1 (* 4 (/ 1 a))))
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(pow a 4)
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(* (pow a 4) (- 1 (* 4 (/ 1 a))))
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(pow b 4)
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(* (pow a 4) (- 1 (* 4 (/ 1 a))))
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(* (pow a 4) (- 1 (* 4 (/ 1 a))))
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(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1)
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(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
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(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
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(pow a 2)
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-1
#s(literal -1 binary64)
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(* (pow a 2) (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a))))
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(* 2 (* (pow a 2) (pow b 2)))
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(* (pow a 2) (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a))))
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(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
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(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
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(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
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(- (* 12 (pow b 2)) 1)
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(- (+ (* 4 (* a (pow b 2))) (* 12 (pow b 2))) 1)
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(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
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(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
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(* 4 a)
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(* a (+ 4 (* -4 a)))
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(* a (+ 4 (* a (- a 4))))
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(* a (+ 4 (* a (- a 4))))
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(pow a 3)
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(* (pow a 3) (- 1 (* 4 (/ 1 a))))
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(* (pow a 3) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
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(pow a 3)
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(* -1 (* (pow a 3) (- (* 4 (/ 1 a)) 1)))
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(* -1 (* (pow a 3) (- (* -1 (/ (- (* 4 (/ 1 a)) 4) a)) 1)))
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4
#s(literal 4 binary64)
(+ 4 (* -4 a))
(fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))
(+ 4 (* a (- a 4)))
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(+ 4 (* a (- a 4)))
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
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(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
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(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
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(pow a 2)
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(* (pow a 2) (- 1 (* 4 (/ 1 a))))
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(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
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(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
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-1
#s(literal -1 binary64)
(- (* 4 (pow a 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(- (* (pow a 2) (+ 4 (* -4 a))) 1)
(fma.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) #s(literal -1 binary64))
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1)
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(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
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(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
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(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
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(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
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(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
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(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
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(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
(* 12 (pow b 2))
(*.f64 #s(literal 12 binary64) (*.f64 b b))
(+ (* 4 (* a (pow b 2))) (* 12 (pow b 2)))
(*.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))
(+ (* 12 (pow b 2)) (* a (+ (* 2 (* a (pow b 2))) (* 4 (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
(+ (* 12 (pow b 2)) (* a (+ (* 2 (* a (pow b 2))) (* 4 (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
(* 2 (* (pow a 2) (pow b 2)))
(*.f64 (*.f64 b b) (*.f64 #s(literal 2 binary64) (*.f64 a a)))
(* (pow a 2) (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a))))
(*.f64 (*.f64 a a) (*.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a))))
(* (pow a 2) (+ (* 2 (pow b 2)) (+ (* 4 (/ (pow b 2) a)) (* 12 (/ (pow b 2) (pow a 2))))))
(*.f64 (*.f64 a a) (fma.f64 (/.f64 (*.f64 b b) a) (+.f64 (/.f64 #s(literal 12 binary64) a) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 b b))))
(* (pow a 2) (+ (* 2 (pow b 2)) (+ (* 4 (/ (pow b 2) a)) (* 12 (/ (pow b 2) (pow a 2))))))
(*.f64 (*.f64 a a) (fma.f64 (/.f64 (*.f64 b b) a) (+.f64 (/.f64 #s(literal 12 binary64) a) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 b b))))
(* 2 (* (pow a 2) (pow b 2)))
(*.f64 (*.f64 b b) (*.f64 #s(literal 2 binary64) (*.f64 a a)))
(* (pow a 2) (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a))))
(*.f64 (*.f64 a a) (*.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a))))
(* (pow a 2) (+ (* -1 (/ (+ (* -12 (/ (pow b 2) a)) (* -4 (pow b 2))) a)) (* 2 (pow b 2))))
(*.f64 (*.f64 a a) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -12 binary64) (*.f64 (*.f64 b b) #s(literal -4 binary64))) a)))
(* (pow a 2) (+ (* -1 (/ (+ (* -12 (/ (pow b 2) a)) (* -4 (pow b 2))) a)) (* 2 (pow b 2))))
(*.f64 (*.f64 a a) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -12 binary64) (*.f64 (*.f64 b b) #s(literal -4 binary64))) a)))

rewrite254.0ms (2.1%)

Memory
1.8MiB live, 365.3MiB allocated
Rules
5 234×lower-fma.f32
5 216×lower-fma.f64
3 972×lower-*.f32
3 958×lower-*.f64
2 900×lower-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076565
0103559
1551516
24853516
08407486
Stop Event
iter limit
node limit
iter limit
Counts
22 → 263
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a #s(literal -1 binary64))))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a #s(literal -1 binary64)))
(*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))))
(fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -1) #s(literal -1 binary64))))
#s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -1) #s(literal -1 binary64)))
#s(approx (+ (* 12 (* b b)) -1) #s(literal -1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))
(*.f64 b (*.f64 b (*.f64 b b)))
(*.f64 b (*.f64 b b))
(*.f64 b b)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))))
#s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 a a)
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))))
(fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))))
(*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)))
#s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))
(fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a #s(literal -1 binary64))
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)) #s(literal -1 binary64))))
(+.f64 #s(literal -1 binary64) (fma.f64 a (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))))
(+.f64 (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)) #s(literal -1 binary64)) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))))
(+.f64 (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))))
(+.f64 (fma.f64 a (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))) #s(literal -1 binary64))
(+.f64 (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(literal -1 binary64)) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))))
(-.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))))) (-.f64 (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)) #s(literal -1 binary64)))) (/.f64 (*.f64 (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)) #s(literal -1 binary64)) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)) #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)) #s(literal -1 binary64)))))
(fma.f64 a (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))))
(fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)) #s(literal -1 binary64)))
(fma.f64 (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) b (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)) #s(literal -1 binary64)))
(fma.f64 #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)) (*.f64 a a) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))))
(fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) (*.f64 (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) (*.f64 a (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)))) #s(literal 1 binary64)) (*.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) (neg.f64 a)))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))))
(fma.f64 (fma.f64 (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)) #s(literal 1 binary64))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)) #s(literal -1 binary64)) (-.f64 (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)) #s(literal -1 binary64)) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))) (*.f64 (*.f64 b b) (*.f64 (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))))) (fma.f64 (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)) #s(literal -1 binary64)) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)) #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) (*.f64 (*.f64 b b) (*.f64 (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)) #s(literal -1 binary64))) (*.f64 (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)) #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)) #s(literal -1 binary64))))))
(/.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)) #s(literal -1 binary64)) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)) #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) (*.f64 (*.f64 b b) (*.f64 (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))))))) (fma.f64 (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)) #s(literal -1 binary64)) (-.f64 (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)) #s(literal -1 binary64)) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))) (*.f64 (*.f64 b b) (*.f64 (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))))))
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(/.f64 (*.f64 (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)) #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)) #s(literal -1 binary64)))) (-.f64 (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)) #s(literal -1 binary64))))
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(fma.f64 #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))
(fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) (*.f64 a (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)))) #s(literal 1 binary64)) (*.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) (neg.f64 a))) (fma.f64 (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) (*.f64 (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) (*.f64 (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)))) #s(literal -1 binary64)) (-.f64 (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) (*.f64 a (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)))) #s(literal 1 binary64)) (*.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) (neg.f64 a))))
(/.f64 (fma.f64 (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) (*.f64 (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)))) (*.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) (neg.f64 a)))))
(/.f64 (fma.f64 (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) #s(literal -1 binary64)) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) (*.f64 (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)))) #s(literal -1 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) (*.f64 a (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)))) #s(literal 1 binary64)) (*.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) (neg.f64 a)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))))) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) (*.f64 a (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)))) #s(literal 1 binary64)) (*.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) (neg.f64 a))) (fma.f64 (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) (*.f64 (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)))) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) (*.f64 (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) (*.f64 a (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)))) #s(literal 1 binary64)) (*.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) (neg.f64 a)))))
(*.f64 (fma.f64 (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a)) #s(literal 1 binary64))))
(+.f64 (*.f64 (*.f64 b b) #s(literal 12 binary64)) (*.f64 (*.f64 b b) (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)))))
(+.f64 (*.f64 (*.f64 b b) (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)))) (*.f64 (*.f64 b b) #s(literal 12 binary64)))
(fma.f64 a (*.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))
(fma.f64 b (*.f64 a (*.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) b)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))
(fma.f64 b (*.f64 b #s(literal 12 binary64)) (*.f64 (*.f64 b b) (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)))))
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (*.f64 (*.f64 b b) (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)))))
(fma.f64 (*.f64 b b) (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 (*.f64 b b) #s(literal 12 binary64)))
(fma.f64 #s(literal 12 binary64) (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)))))
(fma.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 a (*.f64 b b)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))
(fma.f64 (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) (*.f64 (*.f64 b b) #s(literal 12 binary64)))
(fma.f64 (*.f64 a (*.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) b)) b (*.f64 (*.f64 b b) #s(literal 12 binary64)))
(fma.f64 (*.f64 a (*.f64 b b)) (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))
(fma.f64 (*.f64 b #s(literal 12 binary64)) b (*.f64 (*.f64 b b) (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)))))
(fma.f64 (*.f64 (*.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))) a (*.f64 (*.f64 b b) #s(literal 12 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))) (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1728 binary64)))) (fma.f64 (*.f64 (*.f64 b b) (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)))) (*.f64 (*.f64 b b) (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 (*.f64 #s(literal 144 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)))) (*.f64 (*.f64 b b) #s(literal 12 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)))) (*.f64 (*.f64 b b) (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))))) (*.f64 #s(literal 144 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (-.f64 (*.f64 (*.f64 b b) (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)))) (*.f64 (*.f64 b b) #s(literal 12 binary64))))
(/.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 (*.f64 a a) (*.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)))) #s(literal 1728 binary64))) (-.f64 (fma.f64 (*.f64 a a) (*.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 144 binary64)) (*.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 a #s(literal 12 binary64)))))
(/.f64 (*.f64 (*.f64 b b) (fma.f64 a (*.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)))) #s(literal -144 binary64))) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal -12 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 (*.f64 a a) (*.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)))) #s(literal 1728 binary64)) (*.f64 b b)) (-.f64 (fma.f64 (*.f64 a a) (*.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 144 binary64)) (*.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 a #s(literal 12 binary64)))))
(/.f64 (*.f64 (fma.f64 a (*.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)))) #s(literal -144 binary64)) (*.f64 b b)) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal -12 binary64)))
(*.f64 b (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))
(*.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b))
(*.f64 (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) b)

eval83.0ms (0.7%)

Memory
20.7MiB live, 139.4MiB allocated
Compiler

Compiled 22 567 to 1 005 computations (95.5% saved)

prune111.0ms (0.9%)

Memory
-26.3MiB live, 175.6MiB allocated
Pruning

21 alts after pruning (15 fresh and 6 done)

PrunedKeptTotal
New7617768
Fresh2810
Picked235
Done033
Total76521786
Accuracy
100.0%
Counts
786 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.9%
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
68.3%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
55.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a #s(approx (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12))) (*.f64 (*.f64 b b) (*.f64 #s(literal 2 binary64) (*.f64 a a))))))
99.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a #s(literal -1 binary64))))
79.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) -1) (*.f64 (*.f64 a a) (*.f64 a a)))))
83.3%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64))))
68.3%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)))
68.3%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 (*.f64 a a) (*.f64 a a)))))
98.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b #s(approx (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)) (*.f64 b b))) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a #s(literal -1 binary64))))
49.4%
#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)))
48.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 b b) (*.f64 b b)))
49.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
48.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))
49.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
69.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) (fma.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) a #s(literal -1 binary64))))
52.2%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) (fma.f64 (*.f64 a (*.f64 a a)) a (fma.f64 a (*.f64 a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))))
28.1%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)))))
49.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) #s(approx (+ (* (* a a) (+ (* a (+ -4 a)) 4)) -1) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)))))
51.3%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 b #s(literal 12 binary64)) b #s(literal -1 binary64))))
31.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -1) (*.f64 #s(literal 12 binary64) (*.f64 b b)))))
21.2%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -1) #s(literal -1 binary64))))
Compiler

Compiled 1 294 to 319 computations (75.3% saved)

regimes60.0ms (0.5%)

Memory
4.9MiB live, 85.2MiB allocated
Counts
45 → 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 (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -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 (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -1) (*.f64 #s(literal 12 binary64) (*.f64 b b)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.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 (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 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) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) #s(approx (+ (* (* a a) (+ (* a (+ -4 a)) 4)) -1) (fma.f64 #s(literal 4 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 (* b (* b (+ (* b b) 12))) (*.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))))) (*.f64 b #s(approx (* b (+ (* b b) 12)) (*.f64 #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) (*.f64 a (*.f64 a (*.f64 a a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 b b) (*.f64 b b)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) (fma.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #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 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) a #s(approx (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12))) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b #s(approx (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)) (*.f64 b b))) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 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) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) (fma.f64 (*.f64 a (*.f64 a a)) a (fma.f64 a (*.f64 a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a #s(approx (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12))) (*.f64 (*.f64 b b) (*.f64 #s(literal 2 binary64) (*.f64 a a))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 (*.f64 a a) (*.f64 a a)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 (*.f64 a a) (*.f64 a a)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) -1) (*.f64 (*.f64 a a) (*.f64 a a)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 a (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 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 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 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 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) a (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 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 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a (*.f64 a a)) a (fma.f64 a (*.f64 a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal -2 binary64) #s(literal -4 binary64)) a)) a))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal -2 binary64) #s(literal -4 binary64)) a)) a)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)))))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a))))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))))
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 a #s(literal 4 binary64)))
(fma.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal -1 binary64)))
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 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 (fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (-.f64 (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a))) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (*.f64 (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (-.f64 (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a))) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))))) #s(literal 4 binary64)))) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (-.f64 (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a))) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))))) #s(literal 1 binary64))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) a #s(literal -1 binary64))))
Calls

5 calls:

13.0ms
a
12.0ms
b
12.0ms
(+.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)))))
11.0ms
(*.f64 b b)
10.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
100.0%1a
100.0%1b
100.0%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))
100.0%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)))))
100.0%1(*.f64 b b)
Compiler

Compiled 71 to 42 computations (40.8% saved)

regimes44.0ms (0.4%)

Memory
-11.9MiB live, 66.8MiB allocated
Counts
32 → 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 (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -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 (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -1) (*.f64 #s(literal 12 binary64) (*.f64 b b)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.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 (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 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) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) #s(approx (+ (* (* a a) (+ (* a (+ -4 a)) 4)) -1) (fma.f64 #s(literal 4 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 (* b (* b (+ (* b b) 12))) (*.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))))) (*.f64 b #s(approx (* b (+ (* b b) 12)) (*.f64 #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) (*.f64 a (*.f64 a (*.f64 a a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 b b) (*.f64 b b)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) (fma.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #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 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) a #s(approx (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12))) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b #s(approx (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)) (*.f64 b b))) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 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) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) (fma.f64 (*.f64 a (*.f64 a a)) a (fma.f64 a (*.f64 a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a #s(approx (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12))) (*.f64 (*.f64 b b) (*.f64 #s(literal 2 binary64) (*.f64 a a))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 (*.f64 a a) (*.f64 a a)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 (*.f64 a a) (*.f64 a a)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) -1) (*.f64 (*.f64 a a) (*.f64 a a)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 a (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 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 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 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 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) a (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a #s(literal -1 binary64))))
Calls

5 calls:

9.0ms
a
9.0ms
b
9.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
8.0ms
(*.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
99.4%1a
99.4%1b
99.4%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))
99.4%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)))))
99.4%1(*.f64 b b)
Compiler

Compiled 71 to 42 computations (40.8% saved)

regimes39.0ms (0.3%)

Memory
27.4MiB live, 66.7MiB allocated
Counts
28 → 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 (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -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 (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -1) (*.f64 #s(literal 12 binary64) (*.f64 b b)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.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 (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 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) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) #s(approx (+ (* (* a a) (+ (* a (+ -4 a)) 4)) -1) (fma.f64 #s(literal 4 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 (* b (* b (+ (* b b) 12))) (*.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))))) (*.f64 b #s(approx (* b (+ (* b b) 12)) (*.f64 #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) (*.f64 a (*.f64 a (*.f64 a a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 b b) (*.f64 b b)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) (fma.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #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 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) a #s(approx (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12))) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b #s(approx (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)) (*.f64 b b))) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 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) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) (fma.f64 (*.f64 a (*.f64 a a)) a (fma.f64 a (*.f64 a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a #s(approx (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12))) (*.f64 (*.f64 b b) (*.f64 #s(literal 2 binary64) (*.f64 a a))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 (*.f64 a a) (*.f64 a a)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 (*.f64 a a) (*.f64 a a)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) -1) (*.f64 (*.f64 a a) (*.f64 a a)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 a (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal -1 binary64))))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) (fma.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #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 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 (*.f64 a a) (*.f64 a a)))))
Calls

5 calls:

8.0ms
b
8.0ms
a
7.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
7.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
7.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
98.0%1a
99.7%2b
99.6%2(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
99.6%2(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
99.7%2(*.f64 b b)
Compiler

Compiled 71 to 42 computations (40.8% saved)

regimes38.0ms (0.3%)

Memory
-17.0MiB live, 67.5MiB allocated
Counts
25 → 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 (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -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 (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -1) (*.f64 #s(literal 12 binary64) (*.f64 b b)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.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 (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 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) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) #s(approx (+ (* (* a a) (+ (* a (+ -4 a)) 4)) -1) (fma.f64 #s(literal 4 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 (* b (* b (+ (* b b) 12))) (*.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))))) (*.f64 b #s(approx (* b (+ (* b b) 12)) (*.f64 #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) (*.f64 a (*.f64 a (*.f64 a a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 b b) (*.f64 b b)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) (fma.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #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 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) a #s(approx (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12))) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b #s(approx (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)) (*.f64 b b))) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 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) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) (fma.f64 (*.f64 a (*.f64 a a)) a (fma.f64 a (*.f64 a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a #s(approx (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12))) (*.f64 (*.f64 b b) (*.f64 #s(literal 2 binary64) (*.f64 a a))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 (*.f64 a a) (*.f64 a a)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b #s(approx (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)) (*.f64 b b))) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a #s(literal -1 binary64))))
Calls

5 calls:

8.0ms
(*.f64 b b)
7.0ms
b
7.0ms
a
7.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
6.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
Results
AccuracySegmentsBranch
98.0%1a
98.0%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))
98.0%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)))))
98.0%1b
98.0%1(*.f64 b b)
Compiler

Compiled 71 to 42 computations (40.8% saved)

regimes30.0ms (0.2%)

Memory
-11.9MiB live, 67.3MiB allocated
Counts
20 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -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 (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -1) (*.f64 #s(literal 12 binary64) (*.f64 b b)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.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 (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 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) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) #s(approx (+ (* (* a a) (+ (* a (+ -4 a)) 4)) -1) (fma.f64 #s(literal 4 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 (* b (* b (+ (* b b) 12))) (*.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))))) (*.f64 b #s(approx (* b (+ (* b b) 12)) (*.f64 #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) (*.f64 a (*.f64 a (*.f64 a a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 b b) (*.f64 b b)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) (fma.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #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 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) a #s(approx (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12))) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64))))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) (fma.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #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 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64))))
Calls

5 calls:

6.0ms
a
6.0ms
b
6.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
5.0ms
(*.f64 b b)
5.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
94.2%3a
98.5%2b
87.8%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))
87.8%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)))))
98.5%2(*.f64 b b)
Compiler

Compiled 71 to 42 computations (40.8% saved)

regimes12.0ms (0.1%)

Memory
21.6MiB live, 21.6MiB allocated
Counts
19 → 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 (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -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 (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -1) (*.f64 #s(literal 12 binary64) (*.f64 b b)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.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 (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 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) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) #s(approx (+ (* (* a a) (+ (* a (+ -4 a)) 4)) -1) (fma.f64 #s(literal 4 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 (* b (* b (+ (* b b) 12))) (*.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))))) (*.f64 b #s(approx (* b (+ (* b b) 12)) (*.f64 #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) (*.f64 a (*.f64 a (*.f64 a a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 b b) (*.f64 b b)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) (fma.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #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 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) a #s(approx (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12))) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) (fma.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #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 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)))
Calls

2 calls:

6.0ms
b
5.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
96.2%2b
96.2%2(*.f64 b b)
Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes11.0ms (0.1%)

Memory
-22.3MiB live, 18.8MiB allocated
Counts
16 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -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 (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -1) (*.f64 #s(literal 12 binary64) (*.f64 b b)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.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 (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 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) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) #s(approx (+ (* (* a a) (+ (* a (+ -4 a)) 4)) -1) (fma.f64 #s(literal 4 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 (* b (* b (+ (* b b) 12))) (*.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))))) (*.f64 b #s(approx (* b (+ (* b b) 12)) (*.f64 #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) (*.f64 a (*.f64 a (*.f64 a a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 b b) (*.f64 b b)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)))
Calls

2 calls:

6.0ms
b
4.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
96.2%2b
96.2%2(*.f64 b b)
Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes14.0ms (0.1%)

Memory
25.2MiB live, 25.2MiB allocated
Counts
14 → 3
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -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 (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -1) (*.f64 #s(literal 12 binary64) (*.f64 b b)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.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 (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 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) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) #s(approx (+ (* (* a a) (+ (* a (+ -4 a)) 4)) -1) (fma.f64 #s(literal 4 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 (* b (* b (+ (* b b) 12))) (*.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))))) (*.f64 b #s(approx (* b (+ (* b b) 12)) (*.f64 #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) (*.f64 a (*.f64 a (*.f64 a a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 b b) (*.f64 b b)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))))) #s(literal 1 binary64))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
Calls

3 calls:

5.0ms
a
4.0ms
b
4.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
94.1%3a
84.2%3b
84.2%3(*.f64 b b)
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes20.0ms (0.2%)

Memory
-3.4MiB live, 35.8MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -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 (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -1) (*.f64 #s(literal 12 binary64) (*.f64 b b)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.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 (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 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) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) #s(approx (+ (* (* a a) (+ (* a (+ -4 a)) 4)) -1) (fma.f64 #s(literal 4 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 (* b (* b (+ (* b b) 12))) (*.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))))) (*.f64 b #s(approx (* b (+ (* b b) 12)) (*.f64 #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) (*.f64 a (*.f64 a (*.f64 a a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 b b) (*.f64 b b)))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) #s(approx (+ (* (* a a) (+ (* a (+ -4 a)) 4)) -1) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 b b) (*.f64 b b)))
Calls

5 calls:

5.0ms
a
4.0ms
b
3.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
3.0ms
(*.f64 b b)
3.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
84.2%3b
84.2%3(*.f64 b b)
78.4%4(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
78.4%4(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
83.8%3a
Compiler

Compiled 71 to 42 computations (40.8% saved)

regimes9.0ms (0.1%)

Memory
-24.9MiB live, 14.2MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -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 (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -1) (*.f64 #s(literal 12 binary64) (*.f64 b b)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.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 (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 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) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) #s(approx (+ (* (* a a) (+ (* a (+ -4 a)) 4)) -1) (fma.f64 #s(literal 4 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 (* b (* b (+ (* b b) 12))) (*.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))))) (*.f64 b #s(approx (* b (+ (* b b) 12)) (*.f64 #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) (*.f64 a (*.f64 a (*.f64 a a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) #s(approx (+ (* (* a a) (+ (* a (+ -4 a)) 4)) -1) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))
Calls

2 calls:

5.0ms
b
3.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
84.2%3b
84.2%3(*.f64 b b)
Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes10.0ms (0.1%)

Memory
18.3MiB live, 18.3MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -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 (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -1) (*.f64 #s(literal 12 binary64) (*.f64 b b)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.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 (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 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) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) #s(approx (+ (* (* a a) (+ (* a (+ -4 a)) 4)) -1) (fma.f64 #s(literal 4 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 (* b (* b (+ (* b b) 12))) (*.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))))) (*.f64 b #s(approx (* b (+ (* b b) 12)) (*.f64 #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) (*.f64 a (*.f64 a (*.f64 a a))))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.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) (*.f64 a (*.f64 a (*.f64 a a))))
Calls

3 calls:

3.0ms
a
3.0ms
b
3.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
83.8%3a
75.2%3b
75.2%3(*.f64 b b)
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes15.0ms (0.1%)

Memory
-11.9MiB live, 27.4MiB allocated
Counts
7 → 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 (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -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 (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -1) (*.f64 #s(literal 12 binary64) (*.f64 b b)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.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 (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 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) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) #s(approx (+ (* (* a a) (+ (* a (+ -4 a)) 4)) -1) (fma.f64 #s(literal 4 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 (* b (* b (+ (* b b) 12))) (*.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))))) (*.f64 b #s(approx (* b (+ (* b b) 12)) (*.f64 #s(literal 12 binary64) b)))) #s(literal 1 binary64))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) #s(approx (+ (* (* a a) (+ (* a (+ -4 a)) 4)) -1) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64))))
Calls

5 calls:

3.0ms
(*.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)))))
3.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
69.6%2b
69.6%2(*.f64 b b)
56.9%2(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
56.9%2(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
69.5%3a
Compiler

Compiled 71 to 42 computations (40.8% saved)

regimes10.0ms (0.1%)

Memory
22.1MiB live, 22.1MiB allocated
Counts
4 → 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 (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -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 (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -1) (*.f64 #s(literal 12 binary64) (*.f64 b b)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.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 (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 b #s(literal 12 binary64)) b #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 (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64))))
Calls

5 calls:

2.0ms
b
2.0ms
a
2.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 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
51.3%1(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
51.3%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
51.3%1a
51.3%1b
51.3%1(*.f64 b b)
Compiler

Compiled 71 to 42 computations (40.8% saved)

regimes9.0ms (0.1%)

Memory
-22.3MiB live, 19.9MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -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 (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -1) (*.f64 #s(literal 12 binary64) (*.f64 b b)))))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -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 (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -1) (*.f64 #s(literal 12 binary64) (*.f64 b b)))))
Calls

5 calls:

3.0ms
a
2.0ms
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
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
1.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
51.2%2b
51.2%2(*.f64 b b)
39.1%3a
51.5%2(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
51.5%2(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
Compiler

Compiled 71 to 42 computations (40.8% saved)

regimes7.0ms (0.1%)

Memory
16.7MiB live, 16.7MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

5 calls:

1.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
1.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
1.0ms
a
1.0ms
b
1.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
21.2%1a
21.2%1b
21.2%1(*.f64 b b)
21.2%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))
21.2%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
Compiler

Compiled 71 to 42 computations (40.8% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.684768230440366e-5
0.0001998660815432522
Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0001998660815432522
15161040.816539545
Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0001998660815432522
15161040.816539545
Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0001998660815432522
15161040.816539545
Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch47.0ms (0.4%)

Memory
7.5MiB live, 85.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
23.0ms
6.081809255813035e-8
1814691325156003600.0
18.0ms
-1.26120165781482e+54
-1.042146141303826e+47
Samples
30.0ms320×0valid
Compiler

Compiled 514 to 302 computations (41.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 9.0ms (39.9% of total)
ival-sub: 5.0ms (22.2% of total)
ival-add: 5.0ms (22.2% of total)
ival-pow2: 3.0ms (13.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.119081598688027e+73
7.072832350984447e+88
0.0ms
1.3211162221362532e-229
3.091613766439219e-227
Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.119081598688027e+73
7.072832350984447e+88
0.0ms
1.3211162221362532e-229
3.091613766439219e-227
Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch46.0ms (0.4%)

Memory
-33.4MiB live, 47.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
6.081809255813035e-8
1814691325156003600.0
6.0ms
-1.26120165781482e+54
-1.042146141303826e+47
Samples
17.0ms176×0valid
Compiler

Compiled 474 to 282 computations (40.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 5.0ms (45.9% of total)
ival-add: 3.0ms (27.5% of total)
ival-pow2: 2.0ms (18.4% of total)
ival-sub: 1.0ms (9.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.837790507699453e+297
8.149612219270287e+300
Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0008021766562654733
7477058.362594955
Compiler

Compiled 34 to 24 computations (29.4% saved)

simplify18.0ms (0.1%)

Memory
30.3MiB live, 30.3MiB allocated
Algorithm
egg-herbie
Rules
30×*-commutative_binary64
14×+-commutative_binary64
sub-neg_binary64
1-exp_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01651774
11891774
21921774
31941774
41951774
Stop Event
saturated
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 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 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) (fma.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #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 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 (*.f64 a a) (*.f64 a a))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b #s(approx (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)) (*.f64 b b))) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) (fma.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #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 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)))))
(if (<=.f64 (*.f64 b b) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) (fma.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #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 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))))
(if (<=.f64 a #s(literal -549999999999999979656171823587446975756351389564928 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a)))) (if (<=.f64 a #s(literal 29000000000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a))))))
(if (<=.f64 (*.f64 b b) #s(literal 5462437423415177/27312187117075883106631072934794271937104930088205959824983071996985496526101020964951786294769886374883040913790702552866360531575272919369168306390347079868805765445689403631464768659094790245289840706092591521717005303961503585448607241732096 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) #s(approx (+ (* (* a a) (+ (* a (+ -4 a)) 4)) -1) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))))) (if (<=.f64 (*.f64 b b) #s(literal 19999999999999999660673935899226515960618160481369312643676908399133458432 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a)))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 b b) (*.f64 b b)))))
(if (<=.f64 (*.f64 b b) #s(literal 5462437423415177/27312187117075883106631072934794271937104930088205959824983071996985496526101020964951786294769886374883040913790702552866360531575272919369168306390347079868805765445689403631464768659094790245289840706092591521717005303961503585448607241732096 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) #s(approx (+ (* (* a a) (+ (* a (+ -4 a)) 4)) -1) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))))) (if (<=.f64 (*.f64 b b) #s(literal 19999999999999999660673935899226515960618160481369312643676908399133458432 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a)))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))))
(if (<=.f64 a #s(literal -480000000000000036622895237241057615815831860543488 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a)))) (if (<=.f64 a #s(literal 3300000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.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) (*.f64 a (*.f64 a (*.f64 a a))))))
(if (<=.f64 (*.f64 b b) #s(literal 9999999999999999595662034753429788238255624467393741467120915117996487670031669885400803025551745174706847878231119663145222863482996149222332143382301002459214758820269116923021527058285459686414683385913622455551313826420028155008403585629126369847605750170289266545852965785882018353801250996224 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) #s(approx (+ (* (* a a) (+ (* a (+ -4 a)) 4)) -1) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.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 (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64))))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -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 (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -1) (*.f64 #s(literal 12 binary64) (*.f64 b b))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 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 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 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 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) (fma.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #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 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 (*.f64 a a) (*.f64 a a))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b #s(approx (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)) (*.f64 b b))) (fma.f64 (*.f64 a #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a a))) a #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) (fma.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #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 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) #s(literal -1 binary64)))))
(if (<=.f64 (*.f64 b b) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) (fma.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #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 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))))
(if (<=.f64 a #s(literal -549999999999999979656171823587446975756351389564928 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a)))) (if (<=.f64 a #s(literal 29000000000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a))))))
(if (<=.f64 (*.f64 b b) #s(literal 5462437423415177/27312187117075883106631072934794271937104930088205959824983071996985496526101020964951786294769886374883040913790702552866360531575272919369168306390347079868805765445689403631464768659094790245289840706092591521717005303961503585448607241732096 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) #s(approx (+ (* (* a a) (+ (* a (+ -4 a)) 4)) -1) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))))) (if (<=.f64 (*.f64 b b) #s(literal 19999999999999999660673935899226515960618160481369312643676908399133458432 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a)))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 b b) (*.f64 b b)))))
(if (<=.f64 (*.f64 b b) #s(literal 5462437423415177/27312187117075883106631072934794271937104930088205959824983071996985496526101020964951786294769886374883040913790702552866360531575272919369168306390347079868805765445689403631464768659094790245289840706092591521717005303961503585448607241732096 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) #s(approx (+ (* (* a a) (+ (* a (+ -4 a)) 4)) -1) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))))) (if (<=.f64 (*.f64 b b) #s(literal 19999999999999999660673935899226515960618160481369312643676908399133458432 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a)))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))))
(if (<=.f64 a #s(literal -480000000000000036622895237241057615815831860543488 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a)))) (if (<=.f64 a #s(literal 3300000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.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) (*.f64 a (*.f64 a (*.f64 a a))))))
(if (<=.f64 (*.f64 b b) #s(literal 9999999999999999595662034753429788238255624467393741467120915117996487670031669885400803025551745174706847878231119663145222863482996149222332143382301002459214758820269116923021527058285459686414683385913622455551313826420028155008403585629126369847605750170289266545852965785882018353801250996224 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a (+ (* a a) (+ (* -4 a) 4))) a) (+ -1 (* (* b b) (+ (* a (+ (* a 2) 4)) 12)))) #s(approx (+ (* (* a a) (+ (* a (+ -4 a)) 4)) -1) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.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 (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64))))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -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 (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -1) (*.f64 #s(literal 12 binary64) (*.f64 b b))))))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)))))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -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 (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -1) (*.f64 #s(literal 12 binary64) (*.f64 b b))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -1) #s(literal -1 binary64))))

soundness1.7s (13.5%)

Memory
16.7MiB live, 588.5MiB allocated
Rules
19 992×lower-fma.f64
19 992×lower-fma.f32
17 706×lower-fma.f64
17 706×lower-fma.f32
14 308×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02967504
19347160
229156929
371146922
080356252
056516
094504
1434494
23825494
09903453
02967524
19347176
229176941
371206934
080366262
03578124
111297852
234917587
082806902
076565
0103559
1551516
24853516
08407486
01912222
15992169
218452105
357612012
084751830
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 888 to 365 computations (58.9% saved)

preprocess188.0ms (1.5%)

Memory
0.6MiB live, 93.5MiB allocated
Remove

(abs b)

Compiler

Compiled 968 to 238 computations (75.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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