Bouland and Aaronson, Equation (25)

Time bar (total: 8.8s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 33 to 20 computations (39.4% saved)

sample1.8s (19.9%)

Memory
29.7MiB live, 2 238.3MiB allocated
Samples
1.3s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-mult: 554.0ms (54.5% of total)
ival-add: 236.0ms (23.2% of total)
ival-pow2: 139.0ms (13.7% of total)
ival-sub: 69.0ms (6.8% of total)
exact: 10.0ms (1% of total)
ival-true: 5.0ms (0.5% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain336.0ms (3.8%)

Memory
-3.9MiB live, 696.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
600-0-(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
340-0-(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))
241(-1700141266.9827127 4.593446327515657e-167)1(-1.5184378545690981e+140 4.920356319041789e-161)(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))
00-0-(*.f64 a a)
00-0-(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))
00-0-a
00-0-#s(literal 3 binary64)
00-0-#s(literal 1 binary64)
00-0-(*.f64 b b)
00-0-(+.f64 (*.f64 a a) (*.f64 b b))
00-0-(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
00-0-(*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a))
00-0-#s(literal 4 binary64)
00-0-(+.f64 #s(literal 1 binary64) a)
00-0-#s(literal 2 binary64)
00-0-(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
00-0-b
00-0-(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))
00-0-(*.f64 #s(literal 3 binary64) a)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))nan-rescue600
(*.f64 b b)overflow62
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))overflow168
(*.f64 a a)overflow79
(+.f64 (*.f64 a a) (*.f64 b b))overflow125
(*.f64 b b)overflow62
(*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a))overflow100
(*.f64 a a)overflow79
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))overflow80
(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))overflow146
(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))overflow146
+.f64(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))nan-rescue340
(*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a))overflow100
(*.f64 a a)overflow79
(*.f64 b b)overflow62
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))overflow80
Confusion
Predicted +Predicted -
+780
-0178
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+7800
-00178
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0178
162
216
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
65.0ms484×0valid
17.0ms14×2valid
3.0ms14×1valid
Compiler

Compiled 339 to 61 computations (82% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-mult: 23.0ms (47.2% of total)
ival-add: 10.0ms (20.5% of total)
ival-sub: 8.0ms (16.4% of total)
ival-pow2: 5.0ms (10.3% of total)
adjust: 2.0ms (4.1% of total)
exact: 1.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess239.0ms (2.7%)

Memory
19.9MiB live, 322.4MiB allocated
Algorithm
egg-herbie
Rules
21 268×lower-fma.f64
21 268×lower-fma.f32
4 248×lower--.f32
4 244×lower--.f64
3 998×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047159
1171157
2671155
32845155
46808155
01931
03231
17031
218831
358731
4195531
5349131
0806226
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
Outputs
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
(fma.f64 (*.f64 b (+.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a)))) b (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) #s(literal -1 binary64)))
Symmetry

(abs b)

Compiler

Compiled 33 to 19 computations (42.4% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB 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
69.4%
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
Compiler

Compiled 33 to 19 computations (42.4% saved)

simplify171.0ms (1.9%)

Memory
-10.9MiB live, 222.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
019151
032151
170151
2188151
3587151
41955151
53491151
08062130
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
(+.f64 (*.f64 a a) (*.f64 b b))
(*.f64 a a)
a
(*.f64 b b)
b
#s(literal 2 binary64)
(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))
#s(literal 4 binary64)
(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))
(*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a))
(+.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
Outputs
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
(fma.f64 (*.f64 b (+.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a)))) b (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) #s(literal -1 binary64)))
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
(fma.f64 (*.f64 b (+.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a)))) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))))))
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
(*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))
(+.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 b b (*.f64 a a))
(*.f64 a a)
a
(*.f64 b b)
b
#s(literal 2 binary64)
(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -3 binary64) b) b (fma.f64 a a a)) a (*.f64 b b)) #s(literal 4 binary64))
#s(literal 4 binary64)
(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))
(fma.f64 (fma.f64 (*.f64 #s(literal -3 binary64) b) b (fma.f64 a a a)) a (*.f64 b b))
(*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a))
(*.f64 (fma.f64 a a a) a)
(+.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))
(fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)

localize47.0ms (0.5%)

Memory
-12.1MiB live, 72.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.140625
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
accuracy5.521685692973059
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))
accuracy7.589810723283294
(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))
accuracy11.960937500000002
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
Samples
29.0ms242×0valid
2.0ms2valid
1.0ms1valid
Compiler

Compiled 153 to 21 computations (86.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 9.0ms (40.1% of total)
ival-add: 8.0ms (35.7% of total)
ival-sub: 2.0ms (8.9% of total)
ival-pow2: 2.0ms (8.9% of total)
adjust: 1.0ms (4.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory
28.9MiB live, 28.9MiB allocated
Counts
6 → 144
Calls
Call 1
Inputs
#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) (patch (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())
#s(alt (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) (patch (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) (patch (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())
Outputs
#s(alt (pow a 4) (taylor 0 b) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (taylor 0 b) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) (taylor 0 b) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) (taylor 0 b) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) (taylor 0 b) (#s(alt (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) (patch (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) (taylor 0 b) (#s(alt (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) (patch (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) (taylor 0 b) (#s(alt (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) (patch (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #<representation binary64>) () ())) ())
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#s(alt (* (pow a 4) (+ 1 (* 4 (/ 1 a)))) (taylor -inf a) (#s(alt (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) (taylor -inf a) (#s(alt (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a)))) (taylor -inf a) (#s(alt (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) (taylor -inf a) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) (taylor -inf a) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) (taylor -inf a) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow a 3) (taylor -inf a) (#s(alt (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) (patch (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 3) (+ 1 (/ 1 a))) (taylor -inf a) (#s(alt (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) (patch (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1))) (taylor -inf a) (#s(alt (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) (patch (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1))) (taylor -inf a) (#s(alt (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) (patch (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) #<representation binary64>) () ())) ())
#s(alt (* -3 (* a (pow b 2))) (taylor -inf a) (#s(alt (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) (patch (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))))) (taylor -inf a) (#s(alt (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) (patch (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))))) (taylor -inf a) (#s(alt (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) (patch (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))))) (taylor -inf a) (#s(alt (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) (patch (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
Calls

6 calls:

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

simplify244.0ms (2.8%)

Memory
-35.5MiB live, 336.7MiB allocated
Algorithm
egg-herbie
Rules
22 048×lower-fma.f64
22 048×lower-fma.f32
4 280×lower-*.f64
4 280×lower-*.f32
3 958×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite248.0ms (2.8%)

Memory
-5.8MiB live, 476.1MiB allocated
Rules
5 620×lower-fma.f64
5 620×lower-fma.f32
4 066×lower-/.f64
4 066×lower-/.f32
3 976×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

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

eval106.0ms (1.2%)

Memory
28.5MiB live, 261.3MiB allocated
Compiler

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

prune96.0ms (1.1%)

Memory
-13.7MiB live, 221.9MiB allocated
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New67212684
Fresh000
Picked101
Done000
Total67312685
Accuracy
100.0%
Counts
685 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.1%
(fma.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) #s(literal -1 binary64)))
16.6%
(fma.f64 (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) #s(literal 2 binary64)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) #s(literal -1 binary64)))
71.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)))))
69.4%
(-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
15.1%
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a a) a) a (*.f64 (*.f64 b b) (fma.f64 b b (neg.f64 (*.f64 a a))))) (*.f64 (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 a a) a))) (fma.f64 b b (*.f64 a a))))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
55.2%
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (*.f64 a a) a) a)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
67.6%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(literal 1 binary64))
65.1%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
68.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
49.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 a a) a) a)))
46.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 b b) b) b))
49.2%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a))
Compiler

Compiled 732 to 336 computations (54.1% saved)

simplify237.0ms (2.7%)

Memory
5.5MiB live, 296.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff128
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))
cost-diff128
(*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a))
cost-diff128
(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))
cost-diff128
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (*.f64 a a) a) a)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
cost-diff0
(*.f64 a a)
cost-diff0
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
cost-diff192
(fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))
cost-diff0
(fma.f64 b b #s(literal 4 binary64))
cost-diff0
(*.f64 b b)
cost-diff0
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
cost-diff0
(*.f64 a a)
cost-diff0
(*.f64 (*.f64 a a) a)
cost-diff0
(*.f64 (*.f64 (*.f64 a a) a) a)
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a))
cost-diff0
(fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a))
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))))
cost-diff320
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)))))
Rules
26 476×lower-fma.f32
26 454×lower-fma.f64
4 964×lower-+.f32
4 958×lower-+.f64
3 084×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053526
088488
1184457
2463445
31381445
44963445
57152445
08676440
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)))
(fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a))
(*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b)
(fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))
#s(literal -3 binary64)
a
b
(*.f64 (fma.f64 a a a) a)
(fma.f64 a a a)
#s(literal 4 binary64)
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))
(fma.f64 b b (*.f64 a a))
(*.f64 a a)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a))
(*.f64 (*.f64 (*.f64 a a) a) a)
(*.f64 (*.f64 a a) a)
(*.f64 a a)
a
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 b b)
b
(fma.f64 b b #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
(*.f64 a a)
a
(fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (*.f64 a a) a) a)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (*.f64 a a) a) a)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (*.f64 a a) a) a))
(*.f64 (*.f64 (*.f64 a a) a) a)
(*.f64 (*.f64 a a) a)
(*.f64 a a)
a
(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))
#s(literal 4 binary64)
(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))
(*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a))
(+.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))
(*.f64 b b)
b
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)))))
(fma.f64 (*.f64 a a) (fma.f64 b b (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64))) (fma.f64 (+.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))) (*.f64 b b) #s(literal -1 binary64)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a a) (fma.f64 b b (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64))) (fma.f64 (+.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))) (*.f64 b b) #s(literal -1 binary64))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) (fma.f64 b b (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64))) (fma.f64 (+.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))) (*.f64 b b) #s(literal -1 binary64)))
(fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a))
(fma.f64 (fma.f64 (*.f64 b #s(literal -3 binary64)) b (fma.f64 a a a)) a (*.f64 b b))
(*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b)
(*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) b)
(fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))
(fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))
#s(literal -3 binary64)
a
b
(*.f64 (fma.f64 a a a) a)
(fma.f64 a a a)
#s(literal 4 binary64)
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))
(fma.f64 b b (*.f64 a a))
(*.f64 a a)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a))
(*.f64 (*.f64 (*.f64 a a) a) a)
(*.f64 (*.f64 a a) a)
(*.f64 a a)
a
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
(*.f64 b b)
b
(fma.f64 b b #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(*.f64 a a)
a
(fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))
(fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64))
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (*.f64 a a) a) a)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b) (+.f64 (fma.f64 (*.f64 (fma.f64 a a a) #s(literal 4 binary64)) a #s(literal -1 binary64)) #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (*.f64 a a) a) a))))
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (*.f64 a a) a) a)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
(fma.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b) (fma.f64 (*.f64 (fma.f64 a a a) #s(literal 4 binary64)) a #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (*.f64 a a) a) a))))
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (*.f64 a a) a) a))
(*.f64 (*.f64 (*.f64 a a) a) a)
(*.f64 (*.f64 a a) a)
(*.f64 a a)
a
(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))
(*.f64 (fma.f64 (fma.f64 (*.f64 b #s(literal -3 binary64)) b (fma.f64 a a a)) a (*.f64 b b)) #s(literal 4 binary64))
#s(literal 4 binary64)
(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))
(fma.f64 (fma.f64 (*.f64 b #s(literal -3 binary64)) b (fma.f64 a a a)) a (*.f64 b b))
(*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a))
(*.f64 (fma.f64 a a a) a)
(+.f64 #s(literal 1 binary64) a)
(+.f64 a #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))
(*.f64 (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) b) b)
(*.f64 b b)
b
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))
(fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)

localize115.0ms (1.3%)

Memory
5.2MiB live, 159.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy5.521685692973059
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))
accuracy7.589810723283294
(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))
accuracy11.960937500000002
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (*.f64 a a) a) a)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
accuracy22.3250251238098
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (*.f64 a a) a) a))
accuracy0
(*.f64 a a)
accuracy0.00390625
(fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))
accuracy0.0703125
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
accuracy19.95045786993403
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
accuracy0
(fma.f64 b b #s(literal 4 binary64))
accuracy0
(*.f64 b b)
accuracy0.06478500976844201
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
accuracy22.300675350085413
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
accuracy0
(*.f64 a a)
accuracy0.0546875
(*.f64 (*.f64 (*.f64 a a) a) a)
accuracy0.10546875
(*.f64 (*.f64 a a) a)
accuracy32.50205680705813
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a))
accuracy0.1328125
(*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b)
accuracy0.5215880881243613
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))))
accuracy5.84372247756803
(fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a))
accuracy11.960937500000002
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)))
Samples
71.0ms242×0valid
5.0ms2valid
4.0ms1valid
Compiler

Compiled 514 to 46 computations (91.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-mult: 27.0ms (49.8% of total)
ival-add: 16.0ms (29.5% of total)
ival-div: 3.0ms (5.5% of total)
adjust: 2.0ms (3.7% of total)
ival-sub: 2.0ms (3.7% of total)
ival-pow2: 2.0ms (3.7% of total)
exact: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series45.0ms (0.5%)

Memory
-12.7MiB live, 61.2MiB allocated
Counts
22 → 408
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))) (patch (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) (patch (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a)) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 a a) a) a) (patch (*.f64 (*.f64 (*.f64 a a) a) a) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 a a) a) (patch (*.f64 (*.f64 a a) a) #<representation binary64>) () ())
#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())
#s(alt (fma.f64 b b #s(literal 4 binary64)) (patch (fma.f64 b b #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (patch (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (*.f64 a a) a) a)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) (patch (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (*.f64 a a) a) a)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #<representation binary64>) () ())
#s(alt (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) (patch (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (patch (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)) (patch (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) (patch (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) #<representation binary64>) () ())
#s(alt #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (*.f64 a a) a) a)) (patch #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (*.f64 a a) a) a)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) (patch (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())
Outputs
#s(alt (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (pow a 4))) 1) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) (taylor 0 b) (#s(alt (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))) (patch (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (pow a 4))) 1) (taylor 0 b) (#s(alt (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))) (patch (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))) (patch (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))) (patch (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1)) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (pow b 2) (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2)))))) (/ 1 (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1))) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1 (/ (* (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2)))) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1))) (/ 1 (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2))))) (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2)))))) (/ 1 (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1))) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow b 2) (- (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2)))) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1))) (/ 1 (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2))) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1))) (* -1 (/ (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2)))) (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1)))))) (+ (* -1 (/ (* (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2)))) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1))) (/ 1 (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2))))) (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2)))))) (/ 1 (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1))) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ a (pow a 2))) (taylor 0 b) (#s(alt (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) (patch (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* a (+ a (pow a 2))) (* (pow b 2) (+ 1 (* -3 a)))) (taylor 0 b) (#s(alt (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) (patch (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* a (+ a (pow a 2))) (* (pow b 2) (+ 1 (* -3 a)))) (taylor 0 b) (#s(alt (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) (patch (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* a (+ a (pow a 2))) (* (pow b 2) (+ 1 (* -3 a)))) (taylor 0 b) (#s(alt (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) (patch (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a)) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a)) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a)) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a)) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 b) (#s(alt (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (pow b 2)) 1) (taylor 0 b) (#s(alt (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow b 2) (+ 4 (pow b 2))) 1) (taylor 0 b) (#s(alt (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow b 2) (+ 4 (pow b 2))) 1) (taylor 0 b) (#s(alt (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ())
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#s(alt (* (pow a 4) (+ 1 (* 4 (/ 1 a)))) (taylor -inf a) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) (taylor -inf a) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a)))) (taylor -inf a) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* (pow a 4) (+ 1 (* 4 (/ 1 a)))) (taylor -inf a) (#s(alt (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (*.f64 a a) a) a)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) (patch (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (*.f64 a a) a) a)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) (taylor -inf a) (#s(alt (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (*.f64 a a) a) a)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) (patch (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (*.f64 a a) a) a)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a)))) (taylor -inf a) (#s(alt (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (*.f64 a a) a) a)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) (patch (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (*.f64 a a) a) a)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #<representation binary64>) () ())) ())
#s(alt (pow a 3) (taylor -inf a) (#s(alt (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) (patch (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 3) (+ 1 (/ 1 a))) (taylor -inf a) (#s(alt (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) (patch (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1))) (taylor -inf a) (#s(alt (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) (patch (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) #<representation binary64>) () ())) ())
#s(alt (pow a 3) (taylor -inf a) (#s(alt (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (patch (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 3) (+ 1 (/ 1 a))) (taylor -inf a) (#s(alt (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (patch (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 3) (+ 1 (/ 1 a))) (taylor -inf a) (#s(alt (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (patch (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 3) (+ 1 (/ 1 a))) (taylor -inf a) (#s(alt (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (patch (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -3 a) (taylor -inf a) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)) (patch (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- 3 (/ 1 a)))) (taylor -inf a) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)) (patch (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* a (- 3 (/ 1 a)))) (taylor -inf a) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)) (patch (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -3 (* a b)) (taylor -inf a) (#s(alt (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) (patch (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) #<representation binary64>) () ())) ())
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#s(alt (pow a 4) (taylor -inf a) (#s(alt #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (*.f64 a a) a) a)) (patch #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (*.f64 a a) a) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (*.f64 a a) a) a)) (patch #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (*.f64 a a) a) a)) #<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 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (*.f64 a a) a) a)) (patch #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (*.f64 a a) a) a)) #<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 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (*.f64 a a) a) a)) (patch #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (*.f64 a a) a) a)) #<representation binary64>) () ())) ())
#s(alt (* -3 (* a (pow b 2))) (taylor -inf a) (#s(alt (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) (patch (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))))) (taylor -inf a) (#s(alt (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) (patch (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))))) (taylor -inf a) (#s(alt (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) (patch (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))))) (taylor -inf a) (#s(alt (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) (patch (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
Calls

6 calls:

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

simplify202.0ms (2.3%)

Memory
26.9MiB live, 234.4MiB allocated
Algorithm
egg-herbie
Rules
11 986×lower-fma.f64
11 986×lower-fma.f32
5 706×lower-*.f64
5 706×lower-*.f32
3 434×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04097587
113577302
244826899
084646309
Stop Event
iter limit
node limit
Counts
408 → 407
Calls
Call 1
Inputs
(- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1)
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1)
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) (pow a 4))) 1)
(/ 1 (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1))
(+ (* -1 (* (pow b 2) (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2)))))) (/ 1 (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1)))
(+ (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1 (/ (* (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2)))) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1))) (/ 1 (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2))))) (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2)))))) (/ 1 (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1)))
(+ (* (pow b 2) (- (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2)))) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1))) (/ 1 (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2))) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1))) (* -1 (/ (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2)))) (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1)))))) (+ (* -1 (/ (* (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2)))) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1))) (/ 1 (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2))))) (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2)))))) (/ 1 (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1)))
(* a (+ a (pow a 2)))
(+ (* a (+ a (pow a 2))) (* (pow b 2) (+ 1 (* -3 a))))
(+ (* a (+ a (pow a 2))) (* (pow b 2) (+ 1 (* -3 a))))
(+ (* a (+ a (pow a 2))) (* (pow b 2) (+ 1 (* -3 a))))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
-1
(- (* 4 (pow b 2)) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
4
(+ 4 (pow b 2))
(+ 4 (pow b 2))
(+ 4 (pow b 2))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(* (pow a 2) (+ 1 a))
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))
(* b (+ 1 (* -3 a)))
(* b (+ 1 (* -3 a)))
(* b (+ 1 (* -3 a)))
(* b (+ 1 (* -3 a)))
(pow a 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(/ 1 (pow b 4))
(/ (+ 1 (* -1 (/ (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (pow b 2)))) (pow b 4))
(/ (- (+ 1 (/ 1 (pow b 4))) (+ (* -1 (/ (pow (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) 2) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) (pow b 4))
(/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1))) (* (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (- 1 (+ (* -1 (pow (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) 2)) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)))))) (pow b 6))) (/ 1 (pow b 4)))) (+ (* -1 (/ (pow (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) 2) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) (pow b 4))
(* (pow b 2) (+ 1 (* -3 a)))
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(* b (+ 1 (* -3 a)))
(* b (+ 1 (* -3 a)))
(* b (+ 1 (* -3 a)))
(* b (+ 1 (* -3 a)))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(/ 1 (pow b 4))
(/ (+ 1 (* -1 (/ (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (pow b 2)))) (pow b 4))
(/ (- (+ 1 (/ 1 (pow b 4))) (+ (* -1 (/ (pow (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) 2) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) (pow b 4))
(/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1))) (* (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (- 1 (+ (* -1 (pow (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) 2)) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)))))) (pow b 6))) (/ 1 (pow b 4)))) (+ (* -1 (/ (pow (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) 2) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) (pow b 4))
(* (pow b 2) (+ 1 (* -3 a)))
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(* b (+ 1 (* -3 a)))
(* b (+ 1 (* -3 a)))
(* b (+ 1 (* -3 a)))
(* b (+ 1 (* -3 a)))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(/ 1 (- (+ (* 4 (pow b 2)) (pow b 4)) 1))
(+ (* 12 (/ (* a (pow b 2)) (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 2))) (/ 1 (- (+ (* 4 (pow b 2)) (pow b 4)) 1)))
(+ (* a (- (* -1 (* a (+ (* -144 (/ (pow b 4) (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 3))) (+ (* 2 (/ (pow b 2) (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 2))) (* 4 (/ 1 (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 2))))))) (* -12 (/ (pow b 2) (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 2))))) (/ 1 (- (+ (* 4 (pow b 2)) (pow b 4)) 1)))
(+ (* a (- (* a (- (* -1 (* a (+ (* 4 (/ 1 (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 2))) (+ (* 12 (/ (* (pow b 2) (+ 4 (* 2 (pow b 2)))) (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 3))) (* 12 (/ (* (pow b 2) (+ (* -144 (/ (pow b 4) (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 3))) (+ (* 2 (/ (pow b 2) (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 2))) (* 4 (/ 1 (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 2)))))) (- (+ (* 4 (pow b 2)) (pow b 4)) 1))))))) (+ (* -144 (/ (pow b 4) (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 3))) (+ (* 2 (/ (pow b 2) (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 2))) (* 4 (/ 1 (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 2))))))) (* -12 (/ (pow b 2) (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 2))))) (/ 1 (- (+ (* 4 (pow b 2)) (pow b 4)) 1)))
(pow b 2)
(+ (* -3 (* a (pow b 2))) (pow b 2))
(+ (* a (+ a (* -3 (pow b 2)))) (pow b 2))
(+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
4
(+ 4 (* 4 a))
(+ 4 (* a (+ 4 a)))
(+ 4 (* a (+ 4 a)))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
-1
(- (* 4 (pow a 2)) 1)
(- (* (pow a 2) (+ 4 (* 4 a))) 1)
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))
(pow b 2)
(+ (* -3 (* a (pow b 2))) (pow b 2))
(+ (* a (+ a (* -3 (pow b 2)))) (pow b 2))
(+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2))
(pow a 2)
(* (pow a 2) (+ 1 a))
(* (pow a 2) (+ 1 a))
(* (pow a 2) (+ 1 a))
1
(+ 1 (* -3 a))
(+ 1 (* -3 a))
(+ 1 (* -3 a))
b
(+ b (* -3 (* a b)))
(+ b (* -3 (* a b)))
(+ b (* -3 (* a b)))
(pow b 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(pow b 2)
(+ (* -3 (* a (pow b 2))) (pow b 2))
(+ (* -3 (* a (pow b 2))) (pow b 2))
(+ (* -3 (* a (pow b 2))) (pow b 2))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(/ 1 (pow a 4))
(/ (- 1 (* 4 (/ 1 a))) (pow a 4))
(/ (- (+ 1 (/ 12 (pow a 2))) (+ (* 2 (/ (pow b 2) (pow a 2))) (* 4 (/ 1 a)))) (pow a 4))
(/ (- (+ 1 (+ (* -1 (/ (+ (* -12 (pow b 2)) (+ (* -4 (+ 4 (* 2 (pow b 2)))) (* 4 (- 12 (* 2 (pow b 2)))))) (pow a 3))) (/ 12 (pow a 2)))) (+ (* 2 (/ (pow b 2) (pow a 2))) (* 4 (/ 1 a)))) (pow a 4))
(pow a 3)
(* (pow a 3) (+ 1 (/ 1 a)))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a))))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))) (/ 1 (pow a 4))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 3)
(* (pow a 3) (+ 1 (/ 1 a)))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a))))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3))))))
(pow a 3)
(* (pow a 3) (+ 1 (/ 1 a)))
(* (pow a 3) (+ 1 (/ 1 a)))
(* (pow a 3) (+ 1 (/ 1 a)))
(* -3 a)
(* a (- (/ 1 a) 3))
(* a (- (/ 1 a) 3))
(* a (- (/ 1 a) 3))
(* -3 (* a b))
(* a (+ (* -3 b) (/ b a)))
(* a (+ (* -3 b) (/ b a)))
(* a (+ (* -3 b) (/ b a)))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* -3 (* a (pow b 2)))
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(/ 1 (pow a 4))
(/ (- 1 (* 4 (/ 1 a))) (pow a 4))
(/ (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 12 (* 2 (pow b 2))) a))) a))) (pow a 4))
(/ (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- (+ 12 (+ (* -4 (/ (- 12 (* 2 (pow b 2))) a)) (+ (* 4 (/ (+ 4 (* 2 (pow b 2))) a)) (* 12 (/ (pow b 2) a))))) (* 2 (pow b 2))) a))) a))) (pow a 4))
(pow a 3)
(* (pow a 3) (+ 1 (/ 1 a)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1)))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4) a))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 3)
(* (pow a 3) (+ 1 (/ 1 a)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1)))
(pow a 3)
(* (pow a 3) (+ 1 (/ 1 a)))
(* (pow a 3) (+ 1 (/ 1 a)))
(* (pow a 3) (+ 1 (/ 1 a)))
(* -3 a)
(* -1 (* a (- 3 (/ 1 a))))
(* -1 (* a (- 3 (/ 1 a))))
(* -1 (* a (- 3 (/ 1 a))))
(* -3 (* a b))
(* -1 (* a (+ (* -1 (/ b a)) (* 3 b))))
(* -1 (* a (+ (* -1 (/ b a)) (* 3 b))))
(* -1 (* a (+ (* -1 (/ b a)) (* 3 b))))
(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)))))
(* -3 (* a (pow b 2)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))
Outputs
(- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1)
(fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (pow a 4))) 1)
(-.f64 (fma.f64 (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 2 binary64) a)))) (*.f64 b b) (*.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) (pow a 4))) 1)
(-.f64 (fma.f64 (fma.f64 b b (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 2 binary64) a))))) (*.f64 b b) (*.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) (pow a 4))) 1)
(-.f64 (fma.f64 (fma.f64 b b (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 2 binary64) a))))) (*.f64 b b) (*.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
(- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1)
(fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (pow a 4))) 1)
(-.f64 (fma.f64 (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 2 binary64) a)))) (*.f64 b b) (*.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) (pow a 4))) 1)
(-.f64 (fma.f64 (fma.f64 b b (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 2 binary64) a))))) (*.f64 b b) (*.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) (pow a 4))) 1)
(-.f64 (fma.f64 (fma.f64 b b (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 2 binary64) a))))) (*.f64 b b) (*.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
(/ 1 (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
(+ (* -1 (* (pow b 2) (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2)))))) (/ 1 (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1)))
(fma.f64 (*.f64 (neg.f64 b) b) (fma.f64 (/.f64 (*.f64 a a) (*.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))) #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))))
(+ (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1 (/ (* (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2)))) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1))) (/ 1 (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2))))) (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2)))))) (/ 1 (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1)))
(fma.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 2 binary64) a)))) (/.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))) #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))))) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))))) (*.f64 b b) (neg.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))) #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))))))) (*.f64 b b) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))))
(+ (* (pow b 2) (- (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2)))) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1))) (/ 1 (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2))) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1))) (* -1 (/ (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2)))) (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1)))))) (+ (* -1 (/ (* (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2)))) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1))) (/ 1 (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2))))) (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2)))))) (/ 1 (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1)))
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(* -1 (* a (- 3 (/ 1 a))))
(fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))
(* -1 (* a (- 3 (/ 1 a))))
(fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))
(* -3 (* a b))
(*.f64 (*.f64 #s(literal -3 binary64) b) a)
(* -1 (* a (+ (* -1 (/ b a)) (* 3 b))))
(*.f64 (fma.f64 #s(literal -3 binary64) b (/.f64 b a)) a)
(* -1 (* a (+ (* -1 (/ b a)) (* 3 b))))
(*.f64 (fma.f64 #s(literal -3 binary64) b (/.f64 b a)) a)
(* -1 (* a (+ (* -1 (/ b a)) (* 3 b))))
(*.f64 (fma.f64 #s(literal -3 binary64) b (/.f64 b a)) a)
(pow a 4)
(*.f64 (*.f64 (*.f64 a a) a) a)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 a a) a) a))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(*.f64 (+.f64 (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 (*.f64 a a) a) a))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 a a) a) a))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(*.f64 (+.f64 (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 (*.f64 a a) a) a))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 a a) a) a))
(* -3 (* a (pow b 2)))
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 b b)) a)
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))
(*.f64 (*.f64 b (fma.f64 #s(literal -3 binary64) b (/.f64 b a))) a)
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))
(*.f64 (*.f64 b (fma.f64 #s(literal -3 binary64) b (/.f64 b a))) a)
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))
(*.f64 (*.f64 b (fma.f64 #s(literal -3 binary64) b (/.f64 b a))) a)

rewrite204.0ms (2.3%)

Memory
-0.4MiB live, 228.0MiB allocated
Rules
4 258×lower-fma.f32
4 236×lower-fma.f64
3 732×lower-/.f32
3 728×lower-/.f64
3 186×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052382
086342
1398322
23505322
08516310
Stop Event
iter limit
node limit
iter limit
Counts
22 → 719
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))))
(fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a))
(*.f64 (*.f64 (*.f64 a a) a) a)
(*.f64 (*.f64 a a) a)
(*.f64 a a)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 b b)
(fma.f64 b b #s(literal 4 binary64))
(fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (*.f64 a a) a) a)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))
(*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))
(*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b)
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (*.f64 a a) a) a))
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))
Outputs
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a))) #s(literal 16 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (neg.f64 (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a))) (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a))) #s(literal 64 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a))) #s(literal 16 binary64) (*.f64 (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) (-.f64 (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) (*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)))))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) (fma.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a))) #s(literal 16 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (neg.f64 (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) (fma.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) (fma.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal 1 binary64))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a))) (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a))) #s(literal 64 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a))) #s(literal 16 binary64) (*.f64 (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) (-.f64 (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) (*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) (fma.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal 1 binary64)))))
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a))) #s(literal 16 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (neg.f64 (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))))))
(*.f64 (-.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) (fma.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) (fma.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal 1 binary64))))))
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a))) (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a))) #s(literal 64 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a))) #s(literal 16 binary64) (*.f64 (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) (-.f64 (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) (*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)))) #s(literal 1 binary64)))
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(/.f64 (*.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) a) #s(literal 1 binary64)) (*.f64 b b)) (fma.f64 #s(literal 9 binary64) (*.f64 a a) (fma.f64 #s(literal 3 binary64) a #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (*.f64 a a)))) (fma.f64 #s(literal 3 binary64) a #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 b b) (fma.f64 #s(literal 9 binary64) (*.f64 a a) #s(literal -1 binary64))) (fma.f64 a #s(literal -3 binary64) #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 b b) (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) a) #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal 3 binary64) a) (fma.f64 #s(literal 3 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 b b) (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) a) #s(literal 1 binary64))) (fma.f64 #s(literal 9 binary64) (*.f64 a a) (fma.f64 #s(literal 3 binary64) a #s(literal 1 binary64))))
(fma.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 b b) (*.f64 #s(literal 1 binary64) (*.f64 b b)))
(fma.f64 (*.f64 b b) (*.f64 a #s(literal -3 binary64)) (*.f64 (*.f64 b b) #s(literal 1 binary64)))
(fma.f64 (*.f64 b b) #s(literal 1 binary64) (*.f64 (*.f64 b b) (*.f64 a #s(literal -3 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 b b) (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))
(+.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 #s(literal 1 binary64) (*.f64 b b)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))
(+.f64 (*.f64 (*.f64 b b) (*.f64 a #s(literal -3 binary64))) (*.f64 (*.f64 b b) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 b b) #s(literal 1 binary64)) (*.f64 (*.f64 b b) (*.f64 a #s(literal -3 binary64))))

eval437.0ms (5%)

Memory
-108.5MiB live, 279.1MiB allocated
Compiler

Compiled 60 606 to 3 064 computations (94.9% saved)

prune168.0ms (1.9%)

Memory
-28.3MiB live, 298.4MiB allocated
Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New1 277141 291
Fresh617
Picked325
Done000
Total1 286171 303
Accuracy
100.0%
Counts
1 303 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.7%
(fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 1 binary64))) (-.f64 (fma.f64 b b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)))
16.6%
(fma.f64 (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 b a) (-.f64 b a))) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 b a) (-.f64 b a)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) #s(literal 2 binary64)) (fma.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) #s(literal -1 binary64)))
46.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) -1)) (*.f64 (*.f64 (*.f64 b b) b) b))))
69.4%
(-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
68.8%
#s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) -1)))) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
46.4%
#s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) -1)))) (*.f64 (*.f64 (*.f64 b b) b) b))
68.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
49.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (*.f64 a a) a) a (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))))
65.1%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
64.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64)))
45.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
40.2%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
51.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
49.2%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 a #s(literal 4 binary64)))
49.2%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a))
49.2%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
19.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
Compiler

Compiled 562 to 278 computations (50.5% saved)

simplify213.0ms (2.4%)

Memory
17.3MiB live, 170.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 a a)
cost-diff0
(*.f64 (*.f64 a a) a)
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (*.f64 a a) a) a (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))))
cost-diff832
(fma.f64 (*.f64 (*.f64 a a) a) a (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
cost-diff0
#s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))
cost-diff0
(*.f64 a a)
cost-diff0
(fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
cost-diff0
(*.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) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
cost-diff0
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
cost-diff0
(fma.f64 a a #s(literal 1 binary64))
cost-diff0
(fma.f64 b b (fma.f64 a a #s(literal 1 binary64)))
cost-diff128
(-.f64 (fma.f64 b b (*.f64 a a)) #s(literal 1 binary64))
cost-diff256
(fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 1 binary64))) (-.f64 (fma.f64 b b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)))
Rules
23 628×lower-fma.f32
23 604×lower-fma.f64
5 530×lower-+.f64
5 530×lower-+.f32
3 504×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053406
081398
1170375
2382366
31207366
44761366
08157349
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 1 binary64))) (-.f64 (fma.f64 b b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)))
(fma.f64 b b (fma.f64 a a #s(literal 1 binary64)))
b
(fma.f64 a a #s(literal 1 binary64))
a
#s(literal 1 binary64)
(-.f64 (fma.f64 b b (*.f64 a a)) #s(literal 1 binary64))
(fma.f64 b b (*.f64 a a))
(*.f64 a a)
(*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64))
(fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a))
(fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))
#s(literal -3 binary64)
(*.f64 b b)
(*.f64 (fma.f64 a a a) a)
(fma.f64 a a a)
#s(literal 4 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 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) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))
(*.f64 a a)
a
#s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))
(fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (*.f64 a a) a) a (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))))
(fma.f64 (*.f64 (*.f64 a a) a) a (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
(*.f64 (*.f64 a a) a)
(*.f64 a a)
a
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a)
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)
Outputs
(fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 1 binary64))) (-.f64 (fma.f64 b b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)))
(-.f64 (fma.f64 (*.f64 b b) (+.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (*.f64 (*.f64 a a) (fma.f64 b b (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64))))) #s(literal 1 binary64))
(fma.f64 b b (fma.f64 a a #s(literal 1 binary64)))
b
(fma.f64 a a #s(literal 1 binary64))
a
#s(literal 1 binary64)
(-.f64 (fma.f64 b b (*.f64 a a)) #s(literal 1 binary64))
(fma.f64 a a (fma.f64 b b #s(literal -1 binary64)))
(fma.f64 b b (*.f64 a a))
(*.f64 a a)
(*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a))
(fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a))
(fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a))
(fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))
#s(literal -3 binary64)
(*.f64 b b)
(*.f64 (fma.f64 a a a) a)
(fma.f64 a a a)
#s(literal 4 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a))
(*.f64 (*.f64 a a) (*.f64 a a))
(*.f64 (*.f64 (*.f64 a a) a) a)
(*.f64 a a)
a
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 #s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64))
(*.f64 a a)
a
#s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))
#s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))
(fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (*.f64 a a) a) a (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(fma.f64 (*.f64 (*.f64 a a) a) a (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
(fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(*.f64 (*.f64 a a) a)
(*.f64 a a)
a
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a)
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)

localize104.0ms (1.2%)

Memory
7.9MiB live, 133.1MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.0703125
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))
accuracy0.10546875
(*.f64 (*.f64 a a) a)
accuracy9.789062500000002
(fma.f64 (*.f64 (*.f64 a a) a) a (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
accuracy19.95045786993403
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (*.f64 a a) a) a (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))))
accuracy0
(*.f64 a a)
accuracy0.0703125
(fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))
accuracy19.95045786993403
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
accuracy33.16665825531655
#s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))
accuracy0
(*.f64 a a)
accuracy0.14453125
(*.f64 (*.f64 a a) (*.f64 a a))
accuracy32.50205680705813
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
accuracy22.300675350085413
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
accuracy32.92823593341114
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))
accuracy0.0078125
(*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64))
accuracy0.0859375
(*.f64 (fma.f64 a a a) a)
accuracy4.601537041737824
(fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a))
accuracy12.5468474760556
(fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 1 binary64))) (-.f64 (fma.f64 b b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)))
Samples
70.0ms242×0valid
5.0ms2valid
4.0ms1valid
Compiler

Compiled 370 to 52 computations (85.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-mult: 29.0ms (47.5% of total)
ival-add: 23.0ms (37.7% of total)
ival-sub: 3.0ms (4.9% of total)
adjust: 2.0ms (3.3% of total)
ival-pow2: 2.0ms (3.3% of total)
exact: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series47.0ms (0.5%)

Memory
-7.2MiB live, 30.7MiB allocated
Counts
19 → 336
Calls
Call 1
Inputs
#s(alt (fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 1 binary64))) (-.f64 (fma.f64 b b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64))) (patch (fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 1 binary64))) (-.f64 (fma.f64 b b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (fma.f64 b b (*.f64 a a)) #s(literal 1 binary64)) (patch (-.f64 (fma.f64 b b (*.f64 a a)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 b b (fma.f64 a a #s(literal 1 binary64))) (patch (fma.f64 b b (fma.f64 a a #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 a a #s(literal 1 binary64)) (patch (fma.f64 a a #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)) (patch #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) #<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) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) (patch #s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 a a) a) a (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) (patch (fma.f64 (*.f64 (*.f64 a a) a) a (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (*.f64 a a) a) a (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (*.f64 a a) a) a (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 a a) a) (patch (*.f64 (*.f64 a a) a) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) (patch (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 a a a) a) (patch (*.f64 (fma.f64 a a a) a) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) (patch (*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) (patch (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (+ (* 4 (* a (+ a (pow a 2)))) (* (+ 1 (pow a 2)) (- (pow a 2) 1))) (taylor 0 b) (#s(alt (fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 1 binary64))) (-.f64 (fma.f64 b b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64))) (patch (fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 1 binary64))) (-.f64 (fma.f64 b b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (+ 1 (pow a 2)) (- (pow a 2) 1)) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))))) (taylor 0 b) (#s(alt (fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 1 binary64))) (-.f64 (fma.f64 b b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64))) (patch (fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 1 binary64))) (-.f64 (fma.f64 b b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (+ 1 (pow a 2)) (- (pow a 2) 1)) (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))))) (taylor 0 b) (#s(alt (fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 1 binary64))) (-.f64 (fma.f64 b b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64))) (patch (fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 1 binary64))) (-.f64 (fma.f64 b b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (+ 1 (pow a 2)) (- (pow a 2) 1)) (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))))) (taylor 0 b) (#s(alt (fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 1 binary64))) (-.f64 (fma.f64 b b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64))) (patch (fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 1 binary64))) (-.f64 (fma.f64 b b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (pow a 2) 1) (taylor 0 b) (#s(alt (-.f64 (fma.f64 b b (*.f64 a a)) #s(literal 1 binary64)) (patch (-.f64 (fma.f64 b b (*.f64 a a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (pow a 2) (pow b 2)) 1) (taylor 0 b) (#s(alt (-.f64 (fma.f64 b b (*.f64 a a)) #s(literal 1 binary64)) (patch (-.f64 (fma.f64 b b (*.f64 a a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (pow a 2) (pow b 2)) 1) (taylor 0 b) (#s(alt (-.f64 (fma.f64 b b (*.f64 a a)) #s(literal 1 binary64)) (patch (-.f64 (fma.f64 b b (*.f64 a a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (pow a 2) (pow b 2)) 1) (taylor 0 b) (#s(alt (-.f64 (fma.f64 b b (*.f64 a a)) #s(literal 1 binary64)) (patch (-.f64 (fma.f64 b b (*.f64 a a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow a 2)) (taylor 0 b) (#s(alt (fma.f64 b b (fma.f64 a a #s(literal 1 binary64))) (patch (fma.f64 b b (fma.f64 a a #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (pow a 2) (pow b 2))) (taylor 0 b) (#s(alt (fma.f64 b b (fma.f64 a a #s(literal 1 binary64))) (patch (fma.f64 b b (fma.f64 a a #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (pow a 2) (pow b 2))) (taylor 0 b) (#s(alt (fma.f64 b b (fma.f64 a a #s(literal 1 binary64))) (patch (fma.f64 b b (fma.f64 a a #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (pow a 2) (pow b 2))) (taylor 0 b) (#s(alt (fma.f64 b b (fma.f64 a a #s(literal 1 binary64))) (patch (fma.f64 b b (fma.f64 a a #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 b) (#s(alt #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)) (patch #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (pow b 2)) 1) (taylor 0 b) (#s(alt #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)) (patch #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow b 2) (+ 4 (pow b 2))) 1) (taylor 0 b) (#s(alt #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)) (patch #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow b 2) (+ 4 (pow b 2))) 1) (taylor 0 b) (#s(alt #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)) (patch #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (pow a 4) (taylor -inf a) (#s(alt (fma.f64 (*.f64 (*.f64 a a) a) a (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) (patch (fma.f64 (*.f64 (*.f64 a a) a) a (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) 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 (*.f64 a a) a) a (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) (patch (fma.f64 (*.f64 (*.f64 a a) a) a (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 (*.f64 a a) a) a (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) (patch (fma.f64 (*.f64 (*.f64 a a) a) a (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4) a)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 (*.f64 a a) a) a (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) (patch (fma.f64 (*.f64 (*.f64 a a) a) a (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor -inf a) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (*.f64 a a) a) a (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (*.f64 a a) a) a (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) 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) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (*.f64 a a) a) a (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (*.f64 a a) a) a (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) (taylor -inf a) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (*.f64 a a) a) a (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (*.f64 a a) a) a (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a)))) (taylor -inf a) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (*.f64 a a) a) a (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (*.f64 a a) a) a (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow a 3) (taylor -inf a) (#s(alt (*.f64 (*.f64 a a) a) (patch (*.f64 (*.f64 a a) a) #<representation binary64>) () ())) ())
#s(alt (pow a 3) (taylor -inf a) (#s(alt (*.f64 (*.f64 a a) a) (patch (*.f64 (*.f64 a a) a) #<representation binary64>) () ())) ())
#s(alt (pow a 3) (taylor -inf a) (#s(alt (*.f64 (*.f64 a a) a) (patch (*.f64 (*.f64 a a) a) #<representation binary64>) () ())) ())
#s(alt (pow a 3) (taylor -inf a) (#s(alt (*.f64 (*.f64 a a) a) (patch (*.f64 (*.f64 a a) a) #<representation binary64>) () ())) ())
#s(alt (pow a 3) (taylor -inf a) (#s(alt (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) (patch (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 3) (+ 1 (/ 1 a))) (taylor -inf a) (#s(alt (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) (patch (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1))) (taylor -inf a) (#s(alt (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) (patch (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1))) (taylor -inf a) (#s(alt (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) (patch (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #<representation binary64>) () ())) ())
#s(alt (pow a 3) (taylor -inf a) (#s(alt (*.f64 (fma.f64 a a a) a) (patch (*.f64 (fma.f64 a a a) a) #<representation binary64>) () ())) ())
#s(alt (* (pow a 3) (+ 1 (/ 1 a))) (taylor -inf a) (#s(alt (*.f64 (fma.f64 a a a) a) (patch (*.f64 (fma.f64 a a a) a) #<representation binary64>) () ())) ())
#s(alt (* (pow a 3) (+ 1 (/ 1 a))) (taylor -inf a) (#s(alt (*.f64 (fma.f64 a a a) a) (patch (*.f64 (fma.f64 a a a) a) #<representation binary64>) () ())) ())
#s(alt (* (pow a 3) (+ 1 (/ 1 a))) (taylor -inf a) (#s(alt (*.f64 (fma.f64 a a a) a) (patch (*.f64 (fma.f64 a a a) a) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow a 3)) (taylor -inf a) (#s(alt (*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) (patch (*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 3) (+ 4 (* 4 (/ 1 a)))) (taylor -inf a) (#s(alt (*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) (patch (*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* -12 (/ (pow b 2) a))) a)) 4))) (taylor -inf a) (#s(alt (*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) (patch (*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* -1 (/ (+ (* -4 (/ (pow b 2) a)) (* 12 (pow b 2))) a))) a)) 4))) (taylor -inf a) (#s(alt (*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) (patch (*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow a 3)) (taylor -inf a) (#s(alt (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) (patch (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 3) (+ 4 (* 4 (/ 1 a)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) (patch (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow a 3) (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) (patch (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow a 3) (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) (patch (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) #<representation binary64>) () ())) ())
Calls

6 calls:

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

simplify252.0ms (2.9%)

Memory
-6.3MiB live, 195.1MiB allocated
Algorithm
egg-herbie
Rules
14 950×lower-fma.f64
14 950×lower-fma.f32
4 720×lower-+.f64
4 720×lower-+.f32
4 652×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02975535
19485358
229525000
369484684
084614217
Stop Event
iter limit
node limit
Counts
336 → 336
Calls
Call 1
Inputs
(+ (* 4 (* a (+ a (pow a 2)))) (* (+ 1 (pow a 2)) (- (pow a 2) 1)))
(+ (* 4 (* a (+ a (pow a 2)))) (+ (* (+ 1 (pow a 2)) (- (pow a 2) 1)) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))))
(+ (* 4 (* a (+ a (pow a 2)))) (+ (* (+ 1 (pow a 2)) (- (pow a 2) 1)) (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2))))))
(+ (* 4 (* a (+ a (pow a 2)))) (+ (* (+ 1 (pow a 2)) (- (pow a 2) 1)) (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2))))))
(- (pow a 2) 1)
(- (+ (pow a 2) (pow b 2)) 1)
(- (+ (pow a 2) (pow b 2)) 1)
(- (+ (pow a 2) (pow b 2)) 1)
(+ 1 (pow a 2))
(+ 1 (+ (pow a 2) (pow b 2)))
(+ 1 (+ (pow a 2) (pow b 2)))
(+ 1 (+ (pow a 2) (pow b 2)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
-1
(- (* 4 (pow b 2)) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(* a (+ a (pow a 2)))
(+ (* a (+ a (pow a 2))) (* (pow b 2) (+ 1 (* -3 a))))
(+ (* a (+ a (pow a 2))) (* (pow b 2) (+ 1 (* -3 a))))
(+ (* a (+ a (pow a 2))) (* (pow b 2) (+ 1 (* -3 a))))
(* 4 (* a (+ a (pow a 2))))
(+ (* 4 (* a (+ a (pow a 2)))) (* 4 (* (pow b 2) (+ 1 (* -3 a)))))
(+ (* 4 (* a (+ a (pow a 2)))) (* 4 (* (pow b 2) (+ 1 (* -3 a)))))
(+ (* 4 (* a (+ a (pow a 2)))) (* 4 (* (pow b 2) (+ 1 (* -3 a)))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (* (+ 1 (pow a 2)) (- (pow a 2) 1)) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (* (+ 1 (pow a 2)) (- (pow a 2) 1)) (pow b 4)))))))
(pow b 2)
(* (pow b 2) (- (+ 1 (/ (pow a 2) (pow b 2))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 1 (/ (pow a 2) (pow b 2))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 1 (/ (pow a 2) (pow b 2))) (/ 1 (pow b 2))))
(pow b 2)
(* (pow b 2) (+ 1 (+ (/ 1 (pow b 2)) (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (/ 1 (pow b 2)) (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (/ 1 (pow b 2)) (/ (pow a 2) (pow b 2)))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 2) (+ 1 (* -3 a)))
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))
(* 4 (* (pow b 2) (+ 1 (* -3 a))))
(* (pow b 2) (+ (* 4 (+ 1 (* -3 a))) (* 4 (/ (* a (+ a (pow a 2))) (pow b 2)))))
(* (pow b 2) (+ (* 4 (+ 1 (* -3 a))) (* 4 (/ (* a (+ a (pow a 2))) (pow b 2)))))
(* (pow b 2) (+ (* 4 (+ 1 (* -3 a))) (* 4 (/ (* a (+ a (pow a 2))) (pow b 2)))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (* (+ 1 (pow a 2)) (- (pow a 2) 1)) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (* (+ 1 (pow a 2)) (- (pow a 2) 1)) (pow b 4)))))))
(pow b 2)
(* (pow b 2) (- (+ 1 (/ (pow a 2) (pow b 2))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 1 (/ (pow a 2) (pow b 2))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 1 (/ (pow a 2) (pow b 2))) (/ 1 (pow b 2))))
(pow b 2)
(* (pow b 2) (+ 1 (+ (/ 1 (pow b 2)) (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (/ 1 (pow b 2)) (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (/ 1 (pow b 2)) (/ (pow a 2) (pow b 2)))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 2) (+ 1 (* -3 a)))
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))
(* 4 (* (pow b 2) (+ 1 (* -3 a))))
(* (pow b 2) (+ (* 4 (+ 1 (* -3 a))) (* 4 (/ (* a (+ a (pow a 2))) (pow b 2)))))
(* (pow b 2) (+ (* 4 (+ 1 (* -3 a))) (* 4 (/ (* a (+ a (pow a 2))) (pow b 2)))))
(* (pow b 2) (+ (* 4 (+ 1 (* -3 a))) (* 4 (/ (* a (+ a (pow a 2))) (pow b 2)))))
(+ (* 4 (pow b 2)) (* (+ 1 (pow b 2)) (- (pow b 2) 1)))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (* (+ 1 (pow b 2)) (- (pow b 2) 1))))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (+ 1 (pow b 2)) (- (pow b 2) 1))))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (* (+ 1 (pow b 2)) (- (pow b 2) 1))))
(- (pow b 2) 1)
(- (+ (pow a 2) (pow b 2)) 1)
(- (+ (pow a 2) (pow b 2)) 1)
(- (+ (pow a 2) (pow b 2)) 1)
(+ 1 (pow b 2))
(+ 1 (+ (pow a 2) (pow b 2)))
(+ 1 (+ (pow a 2) (pow b 2)))
(+ 1 (+ (pow a 2) (pow b 2)))
1
(+ 1 (pow a 2))
(+ 1 (pow a 2))
(+ 1 (pow a 2))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
-1
(- (* 4 (pow a 2)) 1)
(- (* (pow a 2) (+ 4 (* 4 a))) 1)
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)
4
(+ 4 (* 4 a))
(+ 4 (* a (+ 4 a)))
(+ 4 (* a (+ 4 a)))
-1
(- (* 4 (pow a 2)) 1)
(- (* (pow a 2) (+ 4 (* 4 a))) 1)
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow b 2)
(+ (* -3 (* a (pow b 2))) (pow b 2))
(+ (* a (+ a (* -3 (pow b 2)))) (pow b 2))
(+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2))
(pow a 2)
(* (pow a 2) (+ 1 a))
(* (pow a 2) (+ 1 a))
(* (pow a 2) (+ 1 a))
(* 4 (pow b 2))
(+ (* -12 (* a (pow b 2))) (* 4 (pow b 2)))
(+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* 4 a))))
(+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 4 a))))))
-1
(- (* 4 (pow a 2)) 1)
(- (* (pow a 2) (+ 4 (* 4 a))) 1)
(- (* (pow a 2) (+ 4 (* 4 a))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 2)
(* (pow a 2) (- (+ 1 (/ (pow b 2) (pow a 2))) (/ 1 (pow a 2))))
(* (pow a 2) (- (+ 1 (/ (pow b 2) (pow a 2))) (/ 1 (pow a 2))))
(* (pow a 2) (- (+ 1 (/ (pow b 2) (pow a 2))) (/ 1 (pow a 2))))
(pow a 2)
(* (pow a 2) (+ 1 (+ (/ 1 (pow a 2)) (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (+ (/ 1 (pow a 2)) (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (+ (/ 1 (pow a 2)) (/ (pow b 2) (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (/ 1 (pow a 2))))
(* (pow a 2) (+ 1 (/ 1 (pow a 2))))
(* (pow a 2) (+ 1 (/ 1 (pow a 2))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))) (/ 1 (pow a 4))))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))) (/ 1 (pow a 4))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(* (pow a 3) (+ 1 (/ 1 a)))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a))))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3))))))
(pow a 3)
(* (pow a 3) (+ 1 (/ 1 a)))
(* (pow a 3) (+ 1 (/ 1 a)))
(* (pow a 3) (+ 1 (/ 1 a)))
(* 4 (pow a 3))
(* (pow a 3) (+ 4 (* 4 (/ 1 a))))
(* (pow a 3) (+ 4 (+ (* -12 (/ (pow b 2) (pow a 2))) (* 4 (/ 1 a)))))
(* (pow a 3) (+ 4 (+ (* -12 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (* 4 (/ 1 a))))))
(* 4 (pow a 3))
(* (pow a 3) (+ 4 (* 4 (/ 1 a))))
(* (pow a 3) (- (+ 4 (* 4 (/ 1 a))) (/ 1 (pow a 3))))
(* (pow a 3) (- (+ 4 (* 4 (/ 1 a))) (/ 1 (pow a 3))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 2)
(* (pow a 2) (- (+ 1 (/ (pow b 2) (pow a 2))) (/ 1 (pow a 2))))
(* (pow a 2) (- (+ 1 (/ (pow b 2) (pow a 2))) (/ 1 (pow a 2))))
(* (pow a 2) (- (+ 1 (/ (pow b 2) (pow a 2))) (/ 1 (pow a 2))))
(pow a 2)
(* (pow a 2) (+ 1 (+ (/ 1 (pow a 2)) (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (+ (/ 1 (pow a 2)) (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (+ (/ 1 (pow a 2)) (/ (pow b 2) (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (/ 1 (pow a 2))))
(* (pow a 2) (+ 1 (/ 1 (pow a 2))))
(* (pow a 2) (+ 1 (/ 1 (pow a 2))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4) a))))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4) a))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(* (pow a 3) (+ 1 (/ 1 a)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1)))
(pow a 3)
(* (pow a 3) (+ 1 (/ 1 a)))
(* (pow a 3) (+ 1 (/ 1 a)))
(* (pow a 3) (+ 1 (/ 1 a)))
(* 4 (pow a 3))
(* (pow a 3) (+ 4 (* 4 (/ 1 a))))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* -12 (/ (pow b 2) a))) a)) 4)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* -1 (/ (+ (* -4 (/ (pow b 2) a)) (* 12 (pow b 2))) a))) a)) 4)))
(* 4 (pow a 3))
(* (pow a 3) (+ 4 (* 4 (/ 1 a))))
(* -1 (* (pow a 3) (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4)))
(* -1 (* (pow a 3) (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4)))
Outputs
(+ (* 4 (* a (+ a (pow a 2)))) (* (+ 1 (pow a 2)) (- (pow a 2) 1)))
(fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))
(+ (* 4 (* a (+ a (pow a 2)))) (+ (* (+ 1 (pow a 2)) (- (pow a 2) 1)) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))))
(fma.f64 (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 2 binary64) a)))) (*.f64 b b) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
(+ (* 4 (* a (+ a (pow a 2)))) (+ (* (+ 1 (pow a 2)) (- (pow a 2) 1)) (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2))))))
(fma.f64 (fma.f64 b b (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 2 binary64) a))))) (*.f64 b b) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
(+ (* 4 (* a (+ a (pow a 2)))) (+ (* (+ 1 (pow a 2)) (- (pow a 2) 1)) (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2))))))
(fma.f64 (fma.f64 b b (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 2 binary64) a))))) (*.f64 b b) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
(- (pow a 2) 1)
(fma.f64 a a #s(literal -1 binary64))
(- (+ (pow a 2) (pow b 2)) 1)
(fma.f64 b b (fma.f64 a a #s(literal -1 binary64)))
(- (+ (pow a 2) (pow b 2)) 1)
(fma.f64 b b (fma.f64 a a #s(literal -1 binary64)))
(- (+ (pow a 2) (pow b 2)) 1)
(fma.f64 b b (fma.f64 a a #s(literal -1 binary64)))
(+ 1 (pow a 2))
(fma.f64 a a #s(literal 1 binary64))
(+ 1 (+ (pow a 2) (pow b 2)))
(fma.f64 b b (fma.f64 a a #s(literal 1 binary64)))
(+ 1 (+ (pow a 2) (pow b 2)))
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(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (*.f64 (*.f64 (*.f64 a a) a) a))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal -12 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)) (*.f64 (*.f64 (*.f64 a a) a) a))
(pow a 4)
(*.f64 (*.f64 (*.f64 a a) a) a)
(pow a 4)
(*.f64 (*.f64 (*.f64 a a) a) a)
(pow a 4)
(*.f64 (*.f64 (*.f64 a a) a) a)
(pow a 4)
(*.f64 (*.f64 (*.f64 a a) a) a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 4)
(*.f64 (*.f64 (*.f64 a a) a) a)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 a a) a) a))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (*.f64 (*.f64 (*.f64 a a) a) a))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal -12 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)) (*.f64 (*.f64 (*.f64 a a) a) a))
(pow a 4)
(*.f64 (*.f64 (*.f64 a a) a) a)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 a a) a) a))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 a a))) (/.f64 #s(literal 4 binary64) a)) (*.f64 (*.f64 (*.f64 a a) a) a))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a a))) a)) a)) (*.f64 (*.f64 (*.f64 a a) a) a))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 a #s(literal 4 binary64)) a)
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(fma.f64 (/.f64 #s(literal 4 binary64) a) a (*.f64 (+.f64 a #s(literal 4 binary64)) a))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(fma.f64 (/.f64 #s(literal 4 binary64) a) a (*.f64 (+.f64 a #s(literal 4 binary64)) a))
(pow a 4)
(*.f64 (*.f64 (*.f64 a a) a) a)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 a a) a) a))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 a a))) (/.f64 #s(literal 4 binary64) a)) (*.f64 (*.f64 (*.f64 a a) a) a))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a a))) a)) a)) (*.f64 (*.f64 (*.f64 a a) a) a))
(pow a 4)
(*.f64 (*.f64 (*.f64 a a) a) a)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 a a) a) a))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (*.f64 (*.f64 (*.f64 a a) a) a))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal -12 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)) (*.f64 (*.f64 (*.f64 a a) a) a))
(pow a 3)
(*.f64 (*.f64 a a) a)
(pow a 3)
(*.f64 (*.f64 a a) a)
(pow a 3)
(*.f64 (*.f64 a a) a)
(pow a 3)
(*.f64 (*.f64 a a) a)
(pow a 3)
(*.f64 (*.f64 a a) a)
(* (pow a 3) (+ 1 (/ 1 a)))
(*.f64 (fma.f64 a a a) a)
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1)))
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -3 binary64) #s(literal 1 binary64)) a) #s(literal -1 binary64)) (*.f64 (*.f64 a a) a))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1)))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (fma.f64 b #s(literal 3 binary64) (neg.f64 (/.f64 b a)))) a)) a) #s(literal -1 binary64)) (*.f64 (*.f64 a a) a))
(pow a 3)
(*.f64 (*.f64 a a) a)
(* (pow a 3) (+ 1 (/ 1 a)))
(*.f64 (fma.f64 a a a) a)
(* (pow a 3) (+ 1 (/ 1 a)))
(*.f64 (fma.f64 a a a) a)
(* (pow a 3) (+ 1 (/ 1 a)))
(*.f64 (fma.f64 a a a) a)
(* 4 (pow a 3))
(*.f64 (*.f64 (*.f64 a a) a) #s(literal 4 binary64))
(* (pow a 3) (+ 4 (* 4 (/ 1 a))))
(*.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* -12 (/ (pow b 2) a))) a)) 4)))
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -12 binary64) #s(literal 4 binary64)) a) #s(literal -4 binary64)) (*.f64 (*.f64 a a) a))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* -1 (/ (+ (* -4 (/ (pow b 2) a)) (* 12 (pow b 2))) a))) a)) 4)))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal 12 binary64) (*.f64 b b) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 b b) a))) a)) a) #s(literal -4 binary64)) (*.f64 (*.f64 a a) a))
(* 4 (pow a 3))
(*.f64 (*.f64 (*.f64 a a) a) #s(literal 4 binary64))
(* (pow a 3) (+ 4 (* 4 (/ 1 a))))
(*.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64))
(* -1 (* (pow a 3) (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4)))
(fma.f64 (*.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)) a) a #s(literal -1 binary64))
(* -1 (* (pow a 3) (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4)))
(fma.f64 (*.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)) a) a #s(literal -1 binary64))

rewrite214.0ms (2.4%)

Memory
8.1MiB live, 123.7MiB allocated
Rules
5 164×lower-fma.f32
5 140×lower-fma.f64
3 624×lower-*.f32
3 610×lower-*.f64
3 312×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053353
081335
1420313
23714313
08677291
Stop Event
iter limit
node limit
iter limit
Counts
19 → 476
Calls
Call 1
Inputs
(fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 1 binary64))) (-.f64 (fma.f64 b b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)))
(-.f64 (fma.f64 b b (*.f64 a a)) #s(literal 1 binary64))
(fma.f64 b b (fma.f64 a a #s(literal 1 binary64)))
(fma.f64 a a #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 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) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))
#s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))
(fma.f64 (*.f64 (*.f64 a a) a) a (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (*.f64 a a) a) a (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))))
(*.f64 (*.f64 a a) a)
(fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a))
(*.f64 (fma.f64 a a a) a)
(*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))
Outputs
(*.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal 1 binary64)))))
(*.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a))) #s(literal 16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a a (fma.f64 b b #s(literal -1 binary64))) (fma.f64 b b (fma.f64 a a #s(literal 1 binary64))) (*.f64 #s(literal -4 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a))))))
(*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal 1 binary64))))))
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a))) (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a))) #s(literal 64 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a))) (-.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a))) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)))))))
(pow.f64 (/.f64 (fma.f64 (fma.f64 a a (fma.f64 b b #s(literal -1 binary64))) (fma.f64 b b (fma.f64 a a #s(literal 1 binary64))) (*.f64 #s(literal -4 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)))) (-.f64 (*.f64 (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a))) #s(literal 16 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a))) (-.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a))) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a))) (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a))) #s(literal 64 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal 1 binary64)))) (-.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
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(*.f64 (fma.f64 (*.f64 #s(literal 64 binary64) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 (fma.f64 a a a) (fma.f64 a a a)) (fma.f64 a a a)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 a a a) a) a) (fma.f64 a a a)) #s(literal 16 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a) #s(literal -1 binary64))))))
(pow.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 a a a) a) a) (fma.f64 a a a)) #s(literal 16 binary64) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 a a a) a) a) (fma.f64 a a a)) #s(literal 16 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a) #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal 64 binary64) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 (fma.f64 a a a) (fma.f64 a a a)) (fma.f64 a a a)) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 a a a) a) a) (fma.f64 a a a)) #s(literal 16 binary64)))) (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 a a a) a) a) (fma.f64 a a a)) #s(literal 16 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 64 binary64) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 (fma.f64 a a a) (fma.f64 a a a)) (fma.f64 a a a)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 a a a) a) a) (fma.f64 a a a)) #s(literal 16 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a) #s(literal -1 binary64)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 a a a) a) a) (fma.f64 a a a)) #s(literal 16 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 a a a) a) a) (fma.f64 a a a)) #s(literal 16 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 64 binary64) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 (fma.f64 a a a) (fma.f64 a a a)) (fma.f64 a a a)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 a a a) a) a) (fma.f64 a a a)) #s(literal 16 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 64 binary64) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 (fma.f64 a a a) (fma.f64 a a a)) (fma.f64 a a a)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 a a a) a) a) (fma.f64 a a a)) #s(literal 16 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a) #s(literal -1 binary64))))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 a a a) a) a) (fma.f64 a a a)) #s(literal 16 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal 64 binary64) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 (fma.f64 a a a) (fma.f64 a a a)) (fma.f64 a a a)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 a a a) a) a) (fma.f64 a a a)) #s(literal 16 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (*.f64 #s(literal 64 binary64) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 (fma.f64 a a a) (fma.f64 a a a)) (fma.f64 a a a)) #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 a a a) a) a) (fma.f64 a a a)) #s(literal 16 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 a a a) a) a) (fma.f64 a a a)) #s(literal 16 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 a a a) a) a) (fma.f64 a a a)) #s(literal 16 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a) #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal 64 binary64) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 (fma.f64 a a a) (fma.f64 a a a)) (fma.f64 a a a)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 a a a) a) a) (fma.f64 a a a)) #s(literal 16 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 a a a) a) a) (fma.f64 a a a)) #s(literal 16 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a) #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal 64 binary64) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 (fma.f64 a a a) (fma.f64 a a a)) (fma.f64 a a a)) #s(literal -1 binary64))))
(fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 a a)) (+.f64 #s(literal 1 binary64) a) #s(literal -1 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) a) (fma.f64 a a a) #s(literal -1 binary64))
(fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 a a) #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 (fma.f64 a a a) a) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 a (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) #s(literal -1 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 a a a) a) a) (fma.f64 a a a)) #s(literal 16 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a #s(literal 1 binary64))))
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a))

eval124.0ms (1.4%)

Memory
-5.9MiB live, 110.4MiB allocated
Compiler

Compiled 35 429 to 1 701 computations (95.2% saved)

prune191.0ms (2.2%)

Memory
26.3MiB live, 187.3MiB allocated
Pruning

19 alts after pruning (14 fresh and 5 done)

PrunedKeptTotal
New8915896
Fresh1910
Picked235
Done022
Total89419913
Accuracy
100.0%
Counts
913 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.7%
(fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) (fma.f64 (*.f64 (fma.f64 a a #s(literal 1 binary64)) (fma.f64 a a #s(literal 1 binary64))) (fma.f64 a a #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)))) (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (fma.f64 a a #s(literal 1 binary64)) (-.f64 (fma.f64 a a #s(literal 1 binary64)) (*.f64 b b))))) (*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)))
55.1%
(fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 1 binary64))) #s(approx (- (+ (* b b) (* a a)) 1) (fma.f64 (fma.f64 (/.f64 a (*.f64 b b)) a #s(literal 1 binary64)) (*.f64 b b) #s(literal -1 binary64))) (*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)))
16.6%
(fma.f64 (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 b a) (-.f64 b a))) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 b a) (-.f64 b a)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) #s(literal 2 binary64)) (fma.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) #s(literal -1 binary64)))
46.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) -1)) (*.f64 (*.f64 (*.f64 b b) b) b))))
69.4%
(-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
68.8%
#s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) -1)))) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
46.4%
#s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) -1)))) (*.f64 (*.f64 (*.f64 b b) b) b))
65.1%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
64.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64)))
45.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
40.2%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
67.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (*.f64 (+.f64 a #s(literal 4 binary64)) a)) #s(literal -1 binary64)))
51.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
53.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 a (fma.f64 (*.f64 a a) a (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a)) #s(literal -1 binary64)))
49.2%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 a #s(literal 4 binary64)))
49.2%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a))
49.2%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
55.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 b b) b) b) #s(literal -1 binary64))))
19.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
Compiler

Compiled 756 to 340 computations (55% saved)

simplify244.0ms (2.8%)

Memory
-9.0MiB live, 155.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 a a #s(literal 1 binary64))
cost-diff0
(fma.f64 b b (fma.f64 a a #s(literal 1 binary64)))
cost-diff0
(fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 1 binary64))) #s(approx (- (+ (* b b) (* a a)) 1) (fma.f64 (fma.f64 (/.f64 a (*.f64 b b)) a #s(literal 1 binary64)) (*.f64 b b) #s(literal -1 binary64))) (*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)))
cost-diff1344
(fma.f64 (fma.f64 (/.f64 a (*.f64 b b)) a #s(literal 1 binary64)) (*.f64 b b) #s(literal -1 binary64))
cost-diff0
(*.f64 a a)
cost-diff0
(fma.f64 a (fma.f64 (*.f64 a a) a (*.f64 (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) (- 1 (* 3 a)))))) 1) (fma.f64 a (fma.f64 (*.f64 a a) a (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a)) #s(literal -1 binary64)))
cost-diff512
(fma.f64 (*.f64 a a) a (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a))
cost-diff0
#s(approx (+ (* b b) 4) (*.f64 b b))
cost-diff0
(*.f64 b b)
cost-diff0
(fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64)))
cost-diff0
#s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64))
cost-diff0
(*.f64 a a)
cost-diff0
(fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
cost-diff128
(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))
cost-diff128
(-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
cost-diff448
(+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
cost-diff1088
(/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))))
Rules
23 000×lower-fma.f32
22 972×lower-fma.f64
3 662×lower-+.f32
3 656×lower-+.f64
3 402×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064572
0105562
1203515
2427515
31130515
43373500
55581500
08112481
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
(+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
(/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))))
(fma.f64 b b (*.f64 a a))
b
(*.f64 a a)
a
(/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))
#s(literal 1 binary64)
(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))
#s(literal 4 binary64)
(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))
(*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a))
(+.f64 #s(literal 1 binary64) a)
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))
(*.f64 b b)
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 a a)
a
#s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64))
(*.f64 b b)
b
#s(approx (+ (* b b) 4) (*.f64 b b))
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 a (fma.f64 (*.f64 a a) a (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a)) #s(literal -1 binary64)))
(fma.f64 a (fma.f64 (*.f64 a a) a (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a)) #s(literal -1 binary64))
a
(fma.f64 (*.f64 a a) a (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a))
(*.f64 a a)
(*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a)
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)
(fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 1 binary64))) #s(approx (- (+ (* b b) (* a a)) 1) (fma.f64 (fma.f64 (/.f64 a (*.f64 b b)) a #s(literal 1 binary64)) (*.f64 b b) #s(literal -1 binary64))) (*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)))
(fma.f64 b b (fma.f64 a a #s(literal 1 binary64)))
b
(fma.f64 a a #s(literal 1 binary64))
a
#s(literal 1 binary64)
#s(approx (- (+ (* b b) (* a a)) 1) (fma.f64 (fma.f64 (/.f64 a (*.f64 b b)) a #s(literal 1 binary64)) (*.f64 b b) #s(literal -1 binary64)))
(fma.f64 (fma.f64 (/.f64 a (*.f64 b b)) a #s(literal 1 binary64)) (*.f64 b b) #s(literal -1 binary64))
(fma.f64 (/.f64 a (*.f64 b b)) a #s(literal 1 binary64))
(/.f64 a (*.f64 b b))
(*.f64 b b)
#s(literal -1 binary64)
(*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64))
(fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a))
(fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))
#s(literal -3 binary64)
(*.f64 (fma.f64 a a a) a)
(fma.f64 a a a)
#s(literal 4 binary64)
Outputs
(-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
(fma.f64 (*.f64 b (+.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a)))) b (fma.f64 (*.f64 a a) (fma.f64 b b (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
(fma.f64 (*.f64 b (+.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a)))) b (*.f64 (*.f64 a a) (fma.f64 b b (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)))))
(/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))))
(*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))
(fma.f64 b b (*.f64 a a))
b
(*.f64 a a)
a
(/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))
#s(literal 1 binary64)
(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))
(fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a))
#s(literal 4 binary64)
(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))
(fma.f64 (fma.f64 (*.f64 #s(literal -3 binary64) b) b (fma.f64 a a a)) a (*.f64 b b))
(*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a))
(*.f64 (fma.f64 a a a) a)
(+.f64 #s(literal 1 binary64) a)
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(*.f64 b b)
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))
(fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(*.f64 a a)
a
#s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) (*.f64 b b) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64))
(fma.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) (*.f64 b b) #s(literal -1 binary64))
(*.f64 b b)
b
#s(approx (+ (* b b) 4) (*.f64 b b))
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 a (fma.f64 (*.f64 a a) a (*.f64 (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) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
(fma.f64 a (fma.f64 (*.f64 a a) a (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a)) #s(literal -1 binary64))
(fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))
a
(fma.f64 (*.f64 a a) a (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a))
(*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a)
(*.f64 a a)
(*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a)
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)
(fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 1 binary64))) #s(approx (- (+ (* b b) (* a a)) 1) (fma.f64 (fma.f64 (/.f64 a (*.f64 b b)) a #s(literal 1 binary64)) (*.f64 b b) #s(literal -1 binary64))) (*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)))
(fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b (fma.f64 (fma.f64 a a a) (*.f64 #s(literal 4 binary64) a) (*.f64 #s(approx (- (+ (* b b) (* a a)) 1) (fma.f64 a a (fma.f64 b b #s(literal -1 binary64)))) (fma.f64 b b (fma.f64 a a #s(literal 1 binary64))))))
(fma.f64 b b (fma.f64 a a #s(literal 1 binary64)))
b
(fma.f64 a a #s(literal 1 binary64))
a
#s(literal 1 binary64)
#s(approx (- (+ (* b b) (* a a)) 1) (fma.f64 (fma.f64 (/.f64 a (*.f64 b b)) a #s(literal 1 binary64)) (*.f64 b b) #s(literal -1 binary64)))
#s(approx (- (+ (* b b) (* a a)) 1) (fma.f64 a a (fma.f64 b b #s(literal -1 binary64))))
(fma.f64 (fma.f64 (/.f64 a (*.f64 b b)) a #s(literal 1 binary64)) (*.f64 b b) #s(literal -1 binary64))
(fma.f64 a a (fma.f64 b b #s(literal -1 binary64)))
(fma.f64 (/.f64 a (*.f64 b b)) a #s(literal 1 binary64))
(/.f64 a (*.f64 b b))
(*.f64 b b)
#s(literal -1 binary64)
(*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a))
(fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a))
(fma.f64 (fma.f64 (*.f64 #s(literal -3 binary64) b) b (fma.f64 a a a)) a (*.f64 b b))
(fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))
#s(literal -3 binary64)
(*.f64 (fma.f64 a a a) a)
(fma.f64 a a a)
#s(literal 4 binary64)

localize187.0ms (2.1%)

Memory
-8.4MiB live, 187.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy4.601537041737824
(fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a))
accuracy8.506587545203386
(/.f64 a (*.f64 b b))
accuracy10.878704733501106
(fma.f64 (fma.f64 (/.f64 a (*.f64 b b)) a #s(literal 1 binary64)) (*.f64 b b) #s(literal -1 binary64))
accuracy12.5468474760556
(fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 1 binary64))) #s(approx (- (+ (* b b) (* a a)) 1) (fma.f64 (fma.f64 (/.f64 a (*.f64 b b)) a #s(literal 1 binary64)) (*.f64 b b) #s(literal -1 binary64))) (*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)))
accuracy0.015625
(*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a)
accuracy0.02734375
(fma.f64 a (fma.f64 (*.f64 a a) a (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a)) #s(literal -1 binary64))
accuracy9.824138247378032
(fma.f64 (*.f64 a a) a (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a))
accuracy19.95045786993403
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 a (fma.f64 (*.f64 a a) a (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a)) #s(literal -1 binary64)))
accuracy0
(*.f64 b b)
accuracy0.06478500976844201
(fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64))
accuracy22.300675350085413
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64)))
accuracy30.08893250575486
#s(approx (+ (* b b) 4) (*.f64 b b))
accuracy0
(*.f64 a a)
accuracy0.0703125
(fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))
accuracy19.95045786993403
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
accuracy33.70171901599035
#s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64))
accuracy0.5348342982304023
(/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))
accuracy5.521685692973059
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))
accuracy7.589810723283294
(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))
accuracy11.960937500000002
(+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
Samples
93.0ms242×0valid
25.0ms1valid
6.0ms2valid
Compiler

Compiled 530 to 57 computations (89.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 101.0ms
ival-add: 47.0ms (46.5% of total)
ival-mult: 26.0ms (25.7% of total)
ival-div: 17.0ms (16.8% of total)
ival-sub: 4.0ms (4% of total)
adjust: 3.0ms (3% of total)
ival-pow2: 3.0ms (3% of total)
exact: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series41.0ms (0.5%)

Memory
-1.8MiB live, 69.3MiB allocated
Counts
24 → 456
Calls
Call 1
Inputs
#s(alt (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (patch (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) (patch (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) (patch (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())
#s(alt #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) (patch #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())
#s(alt #s(approx (+ (* b b) 4) (*.f64 b b)) (patch #s(approx (+ (* b b) 4) (*.f64 b b)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 a a) a (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a)) (patch (fma.f64 (*.f64 a a) a (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a)) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 a (fma.f64 (*.f64 a a) a (*.f64 (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) (- 1 (* 3 a)))))) 1) (fma.f64 a (fma.f64 (*.f64 a a) a (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 a (fma.f64 (*.f64 a a) a (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a)) #s(literal -1 binary64)) (patch (fma.f64 a (fma.f64 (*.f64 a a) a (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (/.f64 a (*.f64 b b)) a #s(literal 1 binary64)) (*.f64 b b) #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 (/.f64 a (*.f64 b b)) a #s(literal 1 binary64)) (*.f64 b b) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 1 binary64))) #s(approx (- (+ (* b b) (* a a)) 1) (fma.f64 (fma.f64 (/.f64 a (*.f64 b b)) a #s(literal 1 binary64)) (*.f64 b b) #s(literal -1 binary64))) (*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64))) (patch (fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 1 binary64))) #s(approx (- (+ (* b b) (* a a)) 1) (fma.f64 (fma.f64 (/.f64 a (*.f64 b b)) a #s(literal 1 binary64)) (*.f64 b b) #s(literal -1 binary64))) (*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 b b (fma.f64 a a #s(literal 1 binary64))) (patch (fma.f64 b b (fma.f64 a a #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 a a #s(literal 1 binary64)) (patch (fma.f64 a a #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) (patch (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) (patch (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) #<representation binary64>) () ())
#s(alt (/.f64 a (*.f64 b b)) (patch (/.f64 a (*.f64 b b)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) (patch (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #<representation binary64>) () ())
Outputs
#s(alt (pow a 4) (taylor 0 b) (#s(alt (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (patch (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (taylor 0 b) (#s(alt (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (patch (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) (taylor 0 b) (#s(alt (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (patch (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) (taylor 0 b) (#s(alt (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (patch (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) (taylor 0 b) (#s(alt (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) (patch (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) (taylor 0 b) (#s(alt (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) (patch (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) (taylor 0 b) (#s(alt (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) (patch (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) (taylor 0 b) (#s(alt (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) (patch (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1) (taylor 0 b) (#s(alt (-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1) (taylor 0 b) (#s(alt (-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt (-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt (-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 a)) (taylor 0 b) (#s(alt (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) (patch (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 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 1 binary64) (*.f64 #s(literal 3 binary64) a)))) (patch (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 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 1 binary64) (*.f64 #s(literal 3 binary64) a)))) (patch (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 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 1 binary64) (*.f64 #s(literal 3 binary64) a)))) (patch (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 b) (#s(alt (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (pow b 2)) 1) (taylor 0 b) (#s(alt (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow b 2) (+ 4 (pow b 2))) 1) (taylor 0 b) (#s(alt (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow b 2) (+ 4 (pow b 2))) 1) (taylor 0 b) (#s(alt (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ())
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#s(alt (* (pow a 2) (- (+ 1 (/ (pow b 2) (pow a 2))) (/ 1 (pow a 2)))) (taylor -inf a) (#s(alt (fma.f64 (fma.f64 (/.f64 a (*.f64 b b)) a #s(literal 1 binary64)) (*.f64 b b) #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 (/.f64 a (*.f64 b b)) a #s(literal 1 binary64)) (*.f64 b b) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor -inf a) (#s(alt (fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 1 binary64))) #s(approx (- (+ (* b b) (* a a)) 1) (fma.f64 (fma.f64 (/.f64 a (*.f64 b b)) a #s(literal 1 binary64)) (*.f64 b b) #s(literal -1 binary64))) (*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64))) (patch (fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 1 binary64))) #s(approx (- (+ (* b b) (* a a)) 1) (fma.f64 (fma.f64 (/.f64 a (*.f64 b b)) a #s(literal 1 binary64)) (*.f64 b b) #s(literal -1 binary64))) (*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* 4 (/ 1 a)))) (taylor -inf a) (#s(alt (fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 1 binary64))) #s(approx (- (+ (* b b) (* a a)) 1) (fma.f64 (fma.f64 (/.f64 a (*.f64 b b)) a #s(literal 1 binary64)) (*.f64 b b) #s(literal -1 binary64))) (*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64))) (patch (fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 1 binary64))) #s(approx (- (+ (* b b) (* a a)) 1) (fma.f64 (fma.f64 (/.f64 a (*.f64 b b)) a #s(literal 1 binary64)) (*.f64 b b) #s(literal -1 binary64))) (*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) (taylor -inf a) (#s(alt (fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 1 binary64))) #s(approx (- (+ (* b b) (* a a)) 1) (fma.f64 (fma.f64 (/.f64 a (*.f64 b b)) a #s(literal 1 binary64)) (*.f64 b b) #s(literal -1 binary64))) (*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64))) (patch (fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 1 binary64))) #s(approx (- (+ (* b b) (* a a)) 1) (fma.f64 (fma.f64 (/.f64 a (*.f64 b b)) a #s(literal 1 binary64)) (*.f64 b b) #s(literal -1 binary64))) (*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a)))) (taylor -inf a) (#s(alt (fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 1 binary64))) #s(approx (- (+ (* b b) (* a a)) 1) (fma.f64 (fma.f64 (/.f64 a (*.f64 b b)) a #s(literal 1 binary64)) (*.f64 b b) #s(literal -1 binary64))) (*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64))) (patch (fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 1 binary64))) #s(approx (- (+ (* b b) (* a a)) 1) (fma.f64 (fma.f64 (/.f64 a (*.f64 b b)) a #s(literal 1 binary64)) (*.f64 b b) #s(literal -1 binary64))) (*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (fma.f64 b b (fma.f64 a a #s(literal 1 binary64))) (patch (fma.f64 b b (fma.f64 a a #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (+ (/ 1 (pow a 2)) (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt (fma.f64 b b (fma.f64 a a #s(literal 1 binary64))) (patch (fma.f64 b b (fma.f64 a a #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (+ (/ 1 (pow a 2)) (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt (fma.f64 b b (fma.f64 a a #s(literal 1 binary64))) (patch (fma.f64 b b (fma.f64 a a #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (+ (/ 1 (pow a 2)) (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt (fma.f64 b b (fma.f64 a a #s(literal 1 binary64))) (patch (fma.f64 b b (fma.f64 a a #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (fma.f64 a a #s(literal 1 binary64)) (patch (fma.f64 a a #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (/ 1 (pow a 2)))) (taylor -inf a) (#s(alt (fma.f64 a a #s(literal 1 binary64)) (patch (fma.f64 a a #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (/ 1 (pow a 2)))) (taylor -inf a) (#s(alt (fma.f64 a a #s(literal 1 binary64)) (patch (fma.f64 a a #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (/ 1 (pow a 2)))) (taylor -inf a) (#s(alt (fma.f64 a a #s(literal 1 binary64)) (patch (fma.f64 a a #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3 (* a (pow b 2))) (taylor -inf a) (#s(alt (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) (patch (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))))) (taylor -inf a) (#s(alt (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) (patch (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))))) (taylor -inf a) (#s(alt (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) (patch (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))))) (taylor -inf a) (#s(alt (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) (patch (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow a 2)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow a 2)) (taylor -inf a) (#s(alt (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) (patch (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 4 (* 4 (/ 1 a)))) (taylor -inf a) (#s(alt (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) (patch (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 4 (* 4 (/ 1 a)))) (taylor -inf a) (#s(alt (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) (patch (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 4 (* 4 (/ 1 a)))) (taylor -inf a) (#s(alt (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) (patch (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (/ a (pow b 2)) (taylor -inf a) (#s(alt (/.f64 a (*.f64 b b)) (patch (/.f64 a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ a (pow b 2)) (taylor -inf a) (#s(alt (/.f64 a (*.f64 b b)) (patch (/.f64 a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ a (pow b 2)) (taylor -inf a) (#s(alt (/.f64 a (*.f64 b b)) (patch (/.f64 a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ a (pow b 2)) (taylor -inf a) (#s(alt (/.f64 a (*.f64 b b)) (patch (/.f64 a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow a 3) (taylor -inf a) (#s(alt (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) (patch (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 3) (+ 1 (/ 1 a))) (taylor -inf a) (#s(alt (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) (patch (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1))) (taylor -inf a) (#s(alt (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) (patch (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1))) (taylor -inf a) (#s(alt (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) (patch (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #<representation binary64>) () ())) ())
Calls

6 calls:

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

simplify208.0ms (2.4%)

Memory
7.7MiB live, 250.1MiB allocated
Algorithm
egg-herbie
Rules
17 276×lower-fma.f64
17 276×lower-fma.f32
5 424×lower-+.f64
5 424×lower-+.f32
4 588×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03557064
111266838
233386424
084575908
Stop Event
iter limit
node limit
Counts
456 → 456
Calls
Call 1
Inputs
(pow a 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(* (pow a 2) (+ 1 a))
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
-1
(- (* 4 (pow b 2)) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
4
(+ 4 (pow b 2))
(+ 4 (pow b 2))
(+ 4 (pow b 2))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (pow a 2) 1)
(- (+ (pow a 2) (pow b 2)) 1)
(- (+ (pow a 2) (pow b 2)) 1)
(- (+ (pow a 2) (pow b 2)) 1)
(+ (* 4 (* a (+ a (pow a 2)))) (* (+ 1 (pow a 2)) (- (pow a 2) 1)))
(+ (* 4 (* a (+ a (pow a 2)))) (+ (* (+ 1 (pow a 2)) (- (pow a 2) 1)) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))))
(+ (* 4 (* a (+ a (pow a 2)))) (+ (* (+ 1 (pow a 2)) (- (pow a 2) 1)) (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2))))))
(+ (* 4 (* a (+ a (pow a 2)))) (+ (* (+ 1 (pow a 2)) (- (pow a 2) 1)) (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2))))))
(+ 1 (pow a 2))
(+ 1 (+ (pow a 2) (pow b 2)))
(+ 1 (+ (pow a 2) (pow b 2)))
(+ 1 (+ (pow a 2) (pow b 2)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(/ 1 (pow a 2))
(+ (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))
(+ (* (pow b 2) (- (/ (pow b 2) (pow a 6)) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(+ (* (pow b 2) (- (* (pow b 2) (+ (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(* a (+ a (pow a 2)))
(+ (* a (+ a (pow a 2))) (* (pow b 2) (+ 1 (* -3 a))))
(+ (* a (+ a (pow a 2))) (* (pow b 2) (+ 1 (* -3 a))))
(+ (* a (+ a (pow a 2))) (* (pow b 2) (+ 1 (* -3 a))))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 2)
(* (pow b 2) (- (+ 1 (/ (pow a 2) (pow b 2))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 1 (/ (pow a 2) (pow b 2))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 1 (/ (pow a 2) (pow b 2))) (/ 1 (pow b 2))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (* (+ 1 (pow a 2)) (- (pow a 2) 1)) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (* (+ 1 (pow a 2)) (- (pow a 2) 1)) (pow b 4)))))))
(pow b 2)
(* (pow b 2) (+ 1 (+ (/ 1 (pow b 2)) (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (/ 1 (pow b 2)) (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (/ 1 (pow b 2)) (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(/ 1 (pow b 2))
(/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2))
(/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(* (pow b 2) (+ 1 (* -3 a)))
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 2)
(* (pow b 2) (- (+ 1 (/ (pow a 2) (pow b 2))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 1 (/ (pow a 2) (pow b 2))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 1 (/ (pow a 2) (pow b 2))) (/ 1 (pow b 2))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (* (+ 1 (pow a 2)) (- (pow a 2) 1)) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (* (+ 1 (pow a 2)) (- (pow a 2) 1)) (pow b 4)))))))
(pow b 2)
(* (pow b 2) (+ 1 (+ (/ 1 (pow b 2)) (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (/ 1 (pow b 2)) (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (/ 1 (pow b 2)) (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(/ 1 (pow b 2))
(/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2))
(/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(* (pow b 2) (+ 1 (* -3 a)))
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))
(pow b 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(pow b 2)
(+ (* -3 (* a (pow b 2))) (pow b 2))
(+ (* a (+ a (* -3 (pow b 2)))) (pow b 2))
(+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
-1
(- (* 4 (pow a 2)) 1)
(- (* (pow a 2) (+ 4 (* 4 a))) 1)
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
4
(+ 4 (* 4 a))
(+ 4 (* a (+ 4 a)))
(+ 4 (* a (+ 4 a)))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(* 4 a)
(* a (+ 4 (* 4 a)))
(* a (+ 4 (* a (+ 4 a))))
(* a (+ 4 (* a (+ 4 a))))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
-1
(- (* 4 (pow a 2)) 1)
(- (* (pow a 2) (+ 4 (* 4 a))) 1)
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)
(- (pow b 2) 1)
(- (+ (pow a 2) (pow b 2)) 1)
(- (+ (pow a 2) (pow b 2)) 1)
(- (+ (pow a 2) (pow b 2)) 1)
(+ (* 4 (pow b 2)) (* (+ 1 (pow b 2)) (- (pow b 2) 1)))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (* (+ 1 (pow b 2)) (- (pow b 2) 1))))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (+ 1 (pow b 2)) (- (pow b 2) 1))))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (* (+ 1 (pow b 2)) (- (pow b 2) 1))))
(+ 1 (pow b 2))
(+ 1 (+ (pow a 2) (pow b 2)))
(+ 1 (+ (pow a 2) (pow b 2)))
(+ 1 (+ (pow a 2) (pow b 2)))
1
(+ 1 (pow a 2))
(+ 1 (pow a 2))
(+ 1 (pow a 2))
(pow b 2)
(+ (* -3 (* a (pow b 2))) (pow b 2))
(+ (* -3 (* a (pow b 2))) (pow b 2))
(+ (* -3 (* a (pow b 2))) (pow b 2))
(/ 1 (pow b 2))
(+ (* -1 (/ (pow a 2) (pow b 4))) (/ 1 (pow b 2)))
(+ (* (pow a 2) (- (/ (pow a 2) (pow b 6)) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(+ (* (pow a 2) (- (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow b 8))) (/ 1 (pow b 6)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(* 4 a)
(* a (+ 4 (* 4 a)))
(* a (+ 4 (* 4 a)))
(* a (+ 4 (* 4 a)))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(pow b 2)
(+ (* -3 (* a (pow b 2))) (pow b 2))
(+ (* a (+ a (* -3 (pow b 2)))) (pow b 2))
(+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 3)
(* (pow a 3) (+ 1 (/ 1 a)))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a))))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))) (/ 1 (pow a 4))))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 3)
(* (pow a 3) (+ 1 (* 4 (/ 1 a))))
(* (pow a 3) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 3) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))) (/ 1 (pow a 4))))
(pow a 2)
(* (pow a 2) (- (+ 1 (/ (pow b 2) (pow a 2))) (/ 1 (pow a 2))))
(* (pow a 2) (- (+ 1 (/ (pow b 2) (pow a 2))) (/ 1 (pow a 2))))
(* (pow a 2) (- (+ 1 (/ (pow b 2) (pow a 2))) (/ 1 (pow a 2))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 2)
(* (pow a 2) (+ 1 (+ (/ 1 (pow a 2)) (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (+ (/ 1 (pow a 2)) (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (+ (/ 1 (pow a 2)) (/ (pow b 2) (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (/ 1 (pow a 2))))
(* (pow a 2) (+ 1 (/ 1 (pow a 2))))
(* (pow a 2) (+ 1 (/ 1 (pow a 2))))
(* -3 (* a (pow b 2)))
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))
(/ 1 (pow a 2))
(/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2))
(/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2))
(* 4 (pow a 2))
(* (pow a 2) (+ 4 (* 4 (/ 1 a))))
(* (pow a 2) (+ 4 (* 4 (/ 1 a))))
(* (pow a 2) (+ 4 (* 4 (/ 1 a))))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(pow a 3)
(* (pow a 3) (+ 1 (/ 1 a)))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a))))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 3)
(* (pow a 3) (+ 1 (/ 1 a)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1)))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4) a))))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 3)
(* (pow a 3) (+ 1 (* 4 (/ 1 a))))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) 1)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) 1)))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4) a))))
(pow a 2)
(* (pow a 2) (- (+ 1 (/ (pow b 2) (pow a 2))) (/ 1 (pow a 2))))
(* (pow a 2) (- (+ 1 (/ (pow b 2) (pow a 2))) (/ 1 (pow a 2))))
(* (pow a 2) (- (+ 1 (/ (pow b 2) (pow a 2))) (/ 1 (pow a 2))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 2)
(* (pow a 2) (+ 1 (+ (/ 1 (pow a 2)) (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (+ (/ 1 (pow a 2)) (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (+ (/ 1 (pow a 2)) (/ (pow b 2) (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (/ 1 (pow a 2))))
(* (pow a 2) (+ 1 (/ 1 (pow a 2))))
(* (pow a 2) (+ 1 (/ 1 (pow a 2))))
(* -3 (* a (pow b 2)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))
(/ 1 (pow a 2))
(/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2))
(/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2))
(* 4 (pow a 2))
(* (pow a 2) (+ 4 (* 4 (/ 1 a))))
(* (pow a 2) (+ 4 (* 4 (/ 1 a))))
(* (pow a 2) (+ 4 (* 4 (/ 1 a))))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(pow a 3)
(* (pow a 3) (+ 1 (/ 1 a)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1)))
Outputs
(pow a 4)
(*.f64 (*.f64 (*.f64 a a) a) a)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (*.f64 (*.f64 (*.f64 a a) a) a))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(fma.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (*.f64 (*.f64 (*.f64 a a) a) a))
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(fma.f64 (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 2 binary64) a)))) (*.f64 b b) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(fma.f64 (+.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 2 binary64) a)))) (*.f64 b b) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(fma.f64 (+.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 2 binary64) a)))) (*.f64 b b) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(fma.f64 (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 2 binary64) a)))) (*.f64 b b) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (+.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 2 binary64) a)))) (*.f64 b b) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (+.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 2 binary64) a)))) (*.f64 b b) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
(* (pow a 2) (+ 1 a))
(*.f64 (fma.f64 a a a) a)
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))
(fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a))
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))
(fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a))
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))
(fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(fma.f64 (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 2 binary64) a)))) (*.f64 b b) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (+.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 2 binary64) a)))) (*.f64 b b) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (+.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 2 binary64) a)))) (*.f64 b b) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(fma.f64 (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 2 binary64) a)))) (*.f64 b b) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (+.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 2 binary64) a)))) (*.f64 b b) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (+.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 2 binary64) a)))) (*.f64 b b) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (* 4 (pow b 2)) 1)
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
4
#s(literal 4 binary64)
(+ 4 (pow b 2))
(fma.f64 b b #s(literal 4 binary64))
(+ 4 (pow b 2))
(fma.f64 b b #s(literal 4 binary64))
(+ 4 (pow b 2))
(fma.f64 b b #s(literal 4 binary64))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(fma.f64 (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 2 binary64) a)))) (*.f64 b b) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (+.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 2 binary64) a)))) (*.f64 b b) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (+.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 2 binary64) a)))) (*.f64 b b) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
(- (pow a 2) 1)
(fma.f64 a a #s(literal -1 binary64))
(- (+ (pow a 2) (pow b 2)) 1)
(fma.f64 b b (fma.f64 a a #s(literal -1 binary64)))
(- (+ (pow a 2) (pow b 2)) 1)
(fma.f64 b b (fma.f64 a a #s(literal -1 binary64)))
(- (+ (pow a 2) (pow b 2)) 1)
(fma.f64 b b (fma.f64 a a #s(literal -1 binary64)))
(+ (* 4 (* a (+ a (pow a 2)))) (* (+ 1 (pow a 2)) (- (pow a 2) 1)))
(fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))
(+ (* 4 (* a (+ a (pow a 2)))) (+ (* (+ 1 (pow a 2)) (- (pow a 2) 1)) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))))
(fma.f64 (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 2 binary64) a)))) (*.f64 b b) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
(+ (* 4 (* a (+ a (pow a 2)))) (+ (* (+ 1 (pow a 2)) (- (pow a 2) 1)) (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2))))))
(fma.f64 (+.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 2 binary64) a)))) (*.f64 b b) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
(+ (* 4 (* a (+ a (pow a 2)))) (+ (* (+ 1 (pow a 2)) (- (pow a 2) 1)) (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2))))))
(fma.f64 (+.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 2 binary64) a)))) (*.f64 b b) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
(+ 1 (pow a 2))
(fma.f64 a a #s(literal 1 binary64))
(+ 1 (+ (pow a 2) (pow b 2)))
(fma.f64 b b (fma.f64 a a #s(literal 1 binary64)))
(+ 1 (+ (pow a 2) (pow b 2)))
(fma.f64 b b (fma.f64 a a #s(literal 1 binary64)))
(+ 1 (+ (pow a 2) (pow b 2)))
(fma.f64 b b (fma.f64 a a #s(literal 1 binary64)))
(* (pow b 2) (- 1 (* 3 a)))
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(* (pow b 2) (- 1 (* 3 a)))
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(* (pow b 2) (- 1 (* 3 a)))
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(* (pow b 2) (- 1 (* 3 a)))
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(+ (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))
(/.f64 (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a a))
(+ (* (pow b 2) (- (/ (pow b 2) (pow a 6)) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(fma.f64 (fma.f64 (/.f64 b (pow.f64 a #s(literal 6 binary64))) b (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 a a) a) a))) (*.f64 b b) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(+ (* (pow b 2) (- (* (pow b 2) (+ (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (/.f64 b (pow.f64 a #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 6 binary64)))) (*.f64 b b) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 a a) a) a))) (*.f64 b b) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(/ a (pow b 2))
(/.f64 a (*.f64 b b))
(/ a (pow b 2))
(/.f64 a (*.f64 b b))
(/ a (pow b 2))
(/.f64 a (*.f64 b b))
(/ a (pow b 2))
(/.f64 a (*.f64 b b))
(* a (+ a (pow a 2)))
(*.f64 (fma.f64 a a a) a)
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(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -3 binary64) #s(literal 1 binary64)) a)) a) (*.f64 (neg.f64 a) a))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1)))
(*.f64 (*.f64 (*.f64 (neg.f64 a) a) a) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (-.f64 (*.f64 b #s(literal 3 binary64)) (/.f64 b a))) a)) a)))

rewrite218.0ms (2.5%)

Memory
28.0MiB live, 227.7MiB allocated
Rules
5 358×lower-fma.f32
5 330×lower-fma.f64
3 898×lower-*.f32
3 880×lower-*.f64
2 906×lower-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064434
0105423
1495382
24537380
08337358
Stop Event
iter limit
node limit
iter limit
Counts
24 → 559
Calls
Call 1
Inputs
(/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))))
(+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
(-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 a a)
#s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64))
(*.f64 b b)
#s(approx (+ (* b b) 4) (*.f64 b b))
(fma.f64 (*.f64 a a) a (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 a (fma.f64 (*.f64 a a) a (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a)) #s(literal -1 binary64)))
(fma.f64 a (fma.f64 (*.f64 a a) a (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a)) #s(literal -1 binary64))
(fma.f64 (fma.f64 (/.f64 a (*.f64 b b)) a #s(literal 1 binary64)) (*.f64 b b) #s(literal -1 binary64))
(fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 1 binary64))) #s(approx (- (+ (* b b) (* a a)) 1) (fma.f64 (fma.f64 (/.f64 a (*.f64 b b)) a #s(literal 1 binary64)) (*.f64 b b) #s(literal -1 binary64))) (*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)))
(fma.f64 b b (fma.f64 a a #s(literal 1 binary64)))
(fma.f64 a a #s(literal 1 binary64))
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))
(/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))
(*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a)
(/.f64 a (*.f64 b b))
(fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a))
Outputs
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 b a) (-.f64 b a)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (-.f64 b a))))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))) (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 a a) (*.f64 (+.f64 a b) (-.f64 a b))))))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))) (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a a) a) a (*.f64 (*.f64 b b) (*.f64 (+.f64 b a) (-.f64 b a))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fma.f64 b b (*.f64 a a))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (fma.f64 b b (*.f64 a a))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 b b (*.f64 a a)))) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) (neg.f64 (fma.f64 b b (*.f64 a a))))
(*.f64 (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 b a) (-.f64 b a))) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 b a) (-.f64 b a)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) #s(literal 2 binary64)))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a))) (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 a a) (*.f64 (+.f64 a b) (-.f64 a b))))) #s(literal 2 binary64)))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a))) (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a a) a) a (*.f64 (*.f64 b b) (*.f64 (+.f64 b a) (-.f64 b a))))) #s(literal 2 binary64)))
(*.f64 (neg.f64 (fma.f64 b b (*.f64 a a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 b b (*.f64 a a)))))
(*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 b b (*.f64 a a))) (neg.f64 (fma.f64 b b (*.f64 a a)))))
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))))
(*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (fma.f64 b b (*.f64 a a))))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))) #s(literal -2 binary64))
(pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 b a) (-.f64 b a))) (fma.f64 b b (*.f64 a a))) (*.f64 (+.f64 b a) (-.f64 b a)))
(/.f64 (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 b b (*.f64 a a))) (*.f64 (+.f64 a b) (-.f64 a b)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a))) (fma.f64 b b (*.f64 a a))) (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 a a) (*.f64 (+.f64 a b) (-.f64 a b)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a))) (fma.f64 b b (*.f64 a a))) (fma.f64 (*.f64 (*.f64 a a) a) a (*.f64 (*.f64 b b) (*.f64 (+.f64 b a) (-.f64 b a)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 b b (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))))
(/.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 b a) (-.f64 b a)))) (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (-.f64 b a))))
(/.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 b a) (-.f64 b a)))) (*.f64 (+.f64 b a) (-.f64 b a)))
(/.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b)))) (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b)))) (*.f64 (+.f64 a b) (-.f64 a b)))
(/.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a)))) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 a a) (*.f64 (+.f64 a b) (-.f64 a b))))))
(/.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a)))) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a a) a) a (*.f64 (*.f64 b b) (*.f64 (+.f64 b a) (-.f64 b a))))))
(/.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a)))) (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 a a) (*.f64 (+.f64 a b) (-.f64 a b)))))
(/.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a)))) (fma.f64 (*.f64 (*.f64 a a) a) a (*.f64 (*.f64 b b) (*.f64 (+.f64 b a) (-.f64 b a)))))
(/.f64 (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 b a) (-.f64 b a))) #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))))
(/.f64 (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b))) #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 a a) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) a) a (*.f64 (*.f64 b b) (*.f64 (+.f64 b a) (-.f64 b a)))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))))
(/.f64 (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 b a) (-.f64 b a))) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 b a) (-.f64 b a)))) (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 (+.f64 b a) (-.f64 b a))))
(/.f64 (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 b a) (-.f64 b a))) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b)))) (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 b a) (-.f64 b a))) (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a)))) (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 a a) (*.f64 (+.f64 a b) (-.f64 a b))))))
(/.f64 (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 b a) (-.f64 b a))) (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a)))) (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (fma.f64 (*.f64 (*.f64 a a) a) a (*.f64 (*.f64 b b) (*.f64 (+.f64 b a) (-.f64 b a))))))
(/.f64 (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 b a) (-.f64 b a)))) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (+.f64 b a) (-.f64 b a))))
(/.f64 (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b)))) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a)))) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 a a) (*.f64 (+.f64 a b) (-.f64 a b))))))
(/.f64 (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a)))) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 (*.f64 (*.f64 a a) a) a (*.f64 (*.f64 b b) (*.f64 (+.f64 b a) (-.f64 b a))))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 b a) (-.f64 b a)))) (*.f64 (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 a a) (*.f64 (+.f64 a b) (-.f64 a b)))) (*.f64 (+.f64 b a) (-.f64 b a))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 b a) (-.f64 b a)))) (*.f64 (fma.f64 (*.f64 (*.f64 a a) a) a (*.f64 (*.f64 b b) (*.f64 (+.f64 b a) (-.f64 b a)))) (*.f64 (+.f64 b a) (-.f64 b a))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b)))) (*.f64 (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 a a) (*.f64 (+.f64 a b) (-.f64 a b)))) (*.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b)))) (*.f64 (fma.f64 (*.f64 (*.f64 a a) a) a (*.f64 (*.f64 b b) (*.f64 (+.f64 b a) (-.f64 b a)))) (*.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a))) (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a)))) (*.f64 (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 a a) (*.f64 (+.f64 a b) (-.f64 a b)))) (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 a a) (*.f64 (+.f64 a b) (-.f64 a b))))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a))) (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a)))) (*.f64 (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 a a) (*.f64 (+.f64 a b) (-.f64 a b)))) (fma.f64 (*.f64 (*.f64 a a) a) a (*.f64 (*.f64 b b) (*.f64 (+.f64 b a) (-.f64 b a))))))
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(fma.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b))
(fma.f64 (*.f64 a a) #s(literal 1 binary64) (fma.f64 (*.f64 a a) a (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)))
(fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b))
(fma.f64 a a (fma.f64 (*.f64 a a) a (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)))
(fma.f64 b (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) (*.f64 (fma.f64 a a a) a))
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 a a a) a) (*.f64 (fma.f64 a a a) a)) (-.f64 (*.f64 (fma.f64 a a a) a) (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b) (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b)) b) (-.f64 (*.f64 (fma.f64 a a a) a) (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b) (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b)) b) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b) (*.f64 (fma.f64 a a a) a))) (/.f64 (*.f64 (*.f64 (fma.f64 a a a) a) (*.f64 (fma.f64 a a a) a)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b) (*.f64 (fma.f64 a a a) a))))
(+.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 a a)) (*.f64 (*.f64 a a) a))
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b) (*.f64 (fma.f64 a a a) a))
(+.f64 (*.f64 (fma.f64 a a a) a) (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b))
(+.f64 (*.f64 a a) (fma.f64 (*.f64 a a) a (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)))

eval181.0ms (2.1%)

Memory
3.1MiB live, 235.9MiB allocated
Compiler

Compiled 49 529 to 2 411 computations (95.1% saved)

prune186.0ms (2.1%)

Memory
-15.4MiB live, 313.3MiB allocated
Pruning

22 alts after pruning (15 fresh and 7 done)

PrunedKeptTotal
New1 17961 185
Fresh099
Picked325
Done055
Total1 182221 204
Accuracy
100.0%
Counts
1 204 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.7%
(fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) (fma.f64 (*.f64 (fma.f64 a a #s(literal 1 binary64)) (fma.f64 a a #s(literal 1 binary64))) (fma.f64 a a #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)))) (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (fma.f64 a a #s(literal 1 binary64)) (-.f64 (fma.f64 a a #s(literal 1 binary64)) (*.f64 b b))))) (*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)))
74.7%
(fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 1 binary64))) #s(approx (- (+ (* b b) (* a a)) 1) (fma.f64 (fma.f64 (/.f64 a (*.f64 b b)) a #s(literal 1 binary64)) (*.f64 b b) #s(literal -1 binary64))) (*.f64 #s(approx (+ (* (+ (* a -3) 1) (* b b)) (* (+ (* a a) a) a)) (*.f64 b b)) #s(literal 4 binary64)))
16.6%
(fma.f64 (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 b a) (-.f64 b a))) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 b a) (-.f64 b a)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) #s(literal 2 binary64)) (fma.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) #s(literal -1 binary64)))
46.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) -1)) (*.f64 (*.f64 (*.f64 b b) b) b))))
69.4%
(-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (pow.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
98.7%
(-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))) #s(literal 1 binary64))
68.8%
#s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) -1)))) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
46.4%
#s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) -1)))) (*.f64 (*.f64 (*.f64 b b) b) b))
65.1%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
64.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64)))
45.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
40.2%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
67.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (*.f64 (+.f64 a #s(literal 4 binary64)) a)) #s(literal -1 binary64)))
51.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
52.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 a (fma.f64 (*.f64 a a) a #s(approx (* (+ (* 4 a) 4) a) (*.f64 (*.f64 #s(literal 4 binary64) a) a))) #s(literal -1 binary64)))
30.1%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 a (*.f64 (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) a) (*.f64 a (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))))) #s(literal -1 binary64)))
67.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 a #s(approx (+ (* (* a a) a) (* (+ (* 4 a) 4) a)) (*.f64 (*.f64 (+.f64 #s(literal 4 binary64) a) a) a)) #s(literal -1 binary64)))
49.2%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 a #s(literal 4 binary64)))
49.2%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a))
49.2%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
55.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 b b) b) b) #s(literal -1 binary64))))
19.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
Compiler

Compiled 1 373 to 369 computations (73.1% saved)

regimes54.0ms (0.6%)

Memory
14.0MiB live, 89.7MiB allocated
Counts
38 → 1
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 b b) b) b))
#s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) -1)))) (*.f64 (*.f64 (*.f64 b b) b) b))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 a #s(approx (+ (* (* a a) a) (* (+ (* 4 a) 4) a)) (*.f64 (*.f64 (+.f64 #s(literal 4 binary64) a) a) a)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (*.f64 (+.f64 a #s(literal 4 binary64)) a)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
#s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) -1)))) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 a (fma.f64 (*.f64 a a) a #s(approx (* (+ (* 4 a) 4) a) (*.f64 (*.f64 #s(literal 4 binary64) a) a))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 a (fma.f64 (*.f64 a a) a (*.f64 (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) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (*.f64 a a) a) a (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 a a) a) a)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) -1)) (*.f64 (*.f64 (*.f64 b b) b) b))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 b b) b) b) #s(literal -1 binary64))))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (*.f64 a a) a) a)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
(-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))) #s(literal 1 binary64))
(fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 1 binary64))) #s(approx (- (+ (* b b) (* a a)) 1) (fma.f64 (fma.f64 (/.f64 a (*.f64 b b)) a #s(literal 1 binary64)) (*.f64 b b) #s(literal -1 binary64))) (*.f64 #s(approx (+ (* (+ (* a -3) 1) (* b b)) (* (+ (* a a) a) a)) (*.f64 b b)) #s(literal 4 binary64)))
(fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 1 binary64))) (-.f64 (fma.f64 b b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 a (*.f64 (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) a) (*.f64 a (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)))))
(fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 1 binary64))) #s(approx (- (+ (* b b) (* a a)) 1) (fma.f64 (fma.f64 (/.f64 a (*.f64 b b)) a #s(literal 1 binary64)) (*.f64 b b) #s(literal -1 binary64))) (*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)))
(-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 a #s(literal 4 binary64)))
(fma.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) #s(literal -1 binary64)))
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a a) a) a (*.f64 (*.f64 b b) (fma.f64 b b (neg.f64 (*.f64 a a))))) (*.f64 (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 a a) a))) (fma.f64 b b (*.f64 a a))))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
(fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) (fma.f64 (*.f64 (fma.f64 a a #s(literal 1 binary64)) (fma.f64 a a #s(literal 1 binary64))) (fma.f64 a a #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)))) (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (fma.f64 a a #s(literal 1 binary64)) (-.f64 (fma.f64 a a #s(literal 1 binary64)) (*.f64 b b))))) (*.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)))
(fma.f64 (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) #s(literal 2 binary64)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) #s(literal -1 binary64)))
(fma.f64 (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 b a) (-.f64 b a))) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 b a) (-.f64 b a)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) #s(literal 2 binary64)) (fma.f64 (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) #s(literal -1 binary64)))
(-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (pow.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
Outputs
(-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))) #s(literal 1 binary64))
Calls

5 calls:

12.0ms
b
11.0ms
(*.f64 b b)
10.0ms
a
9.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
9.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
98.7%1a
98.7%1b
98.7%1(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
98.7%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
98.7%1(*.f64 b b)
Compiler

Compiled 75 to 44 computations (41.3% saved)

regimes42.0ms (0.5%)

Memory
-16.6MiB live, 59.9MiB allocated
Counts
23 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 b b) b) b))
#s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) -1)))) (*.f64 (*.f64 (*.f64 b b) b) b))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 a #s(approx (+ (* (* a a) a) (* (+ (* 4 a) 4) a)) (*.f64 (*.f64 (+.f64 #s(literal 4 binary64) a) a) a)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (*.f64 (+.f64 a #s(literal 4 binary64)) a)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
#s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) -1)))) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 a (fma.f64 (*.f64 a a) a #s(approx (* (+ (* 4 a) 4) a) (*.f64 (*.f64 #s(literal 4 binary64) a) a))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 a (fma.f64 (*.f64 a a) a (*.f64 (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) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (*.f64 a a) a) a (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 a a) a) a)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) -1)) (*.f64 (*.f64 (*.f64 b b) b) b))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 b b) b) b) #s(literal -1 binary64))))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (*.f64 a a) a) a)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
Outputs
#s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) -1)))) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) -1)) (*.f64 (*.f64 (*.f64 b b) b) b))))
Calls

5 calls:

13.0ms
b
8.0ms
(*.f64 b b)
7.0ms
a
6.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
6.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
95.9%3a
95.1%2b
87.5%4(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
87.5%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 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
95.1%2(*.f64 b b)
Compiler

Compiled 75 to 44 computations (41.3% saved)

regimes15.0ms (0.2%)

Memory
-12.1MiB live, 24.9MiB allocated
Counts
20 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 b b) b) b))
#s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) -1)))) (*.f64 (*.f64 (*.f64 b b) b) b))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 a #s(approx (+ (* (* a a) a) (* (+ (* 4 a) 4) a)) (*.f64 (*.f64 (+.f64 #s(literal 4 binary64) a) a) a)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (*.f64 (+.f64 a #s(literal 4 binary64)) a)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
#s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) -1)))) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 a (fma.f64 (*.f64 a a) a #s(approx (* (+ (* 4 a) 4) a) (*.f64 (*.f64 #s(literal 4 binary64) a) a))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 a (fma.f64 (*.f64 a a) a (*.f64 (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) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (*.f64 a a) a) a (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 a a) a) a)))
Outputs
#s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) -1)))) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 b b) b) b))
Calls

2 calls:

9.0ms
b
5.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
95.1%2b
95.1%2(*.f64 b b)
Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes10.0ms (0.1%)

Memory
17.9MiB live, 17.9MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 b b) b) b))
#s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) -1)))) (*.f64 (*.f64 (*.f64 b b) b) b))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 a #s(approx (+ (* (* a a) a) (* (+ (* 4 a) 4) a)) (*.f64 (*.f64 (+.f64 #s(literal 4 binary64) a) a) a)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (*.f64 (+.f64 a #s(literal 4 binary64)) a)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 b b) b) b))
Calls

2 calls:

5.0ms
b
4.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
95.1%2b
95.1%2(*.f64 b b)
Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes16.0ms (0.2%)

Memory
-11.9MiB live, 25.4MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 b b) b) b))
#s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) -1)))) (*.f64 (*.f64 (*.f64 b b) b) b))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 a #s(approx (+ (* (* a a) a) (* (+ (* 4 a) 4) a)) (*.f64 (*.f64 (+.f64 #s(literal 4 binary64) a) a) a)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (*.f64 (+.f64 a #s(literal 4 binary64)) a)) #s(literal -1 binary64)))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 a #s(approx (+ (* (* a a) a) (* (+ (* 4 a) 4) a)) (*.f64 (*.f64 (+.f64 #s(literal 4 binary64) a) a) a)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 b b) b) b))
Calls

3 calls:

7.0ms
a
4.0ms
b
4.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
95.8%3a
94.2%2b
94.2%2(*.f64 b b)
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes12.0ms (0.1%)

Memory
25.4MiB live, 25.4MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 b b) b) b))
#s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) -1)))) (*.f64 (*.f64 (*.f64 b b) b) b))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(literal 1 binary64))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
Calls

3 calls:

4.0ms
b
4.0ms
a
3.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
95.5%3a
93.9%2b
93.9%2(*.f64 b b)
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes15.0ms (0.2%)

Memory
-3.7MiB live, 30.9MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 b b) b) b))
#s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) -1)))) (*.f64 (*.f64 (*.f64 b b) b) b))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
Calls

3 calls:

8.0ms
a
3.0ms
b
3.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
83.4%2b
83.4%2(*.f64 b b)
95.1%3a
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes19.0ms (0.2%)

Memory
-17.5MiB live, 25.0MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 b b) b) b))
#s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) -1)))) (*.f64 (*.f64 (*.f64 b b) b) b))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 b b) b) b))
Calls

4 calls:

11.0ms
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 1 binary64) (*.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 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
83.4%2b
78.7%3(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
78.7%3(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
83.5%4a
Compiler

Compiled 70 to 41 computations (41.4% saved)

regimes7.0ms (0.1%)

Memory
16.0MiB live, 16.0MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a))
Calls

3 calls:

2.0ms
a
2.0ms
b
2.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
81.6%3a
73.4%3(*.f64 b b)
73.4%3b
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes2.0ms (0%)

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

1 calls:

2.0ms
a
Results
AccuracySegmentsBranch
81.6%3a
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory
-18.6MiB live, 21.1MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
Calls

5 calls:

2.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
2.0ms
a
2.0ms
b
2.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
2.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
69.5%2b
69.5%2(*.f64 b b)
57.6%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 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
57.6%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 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
69.6%3a
Compiler

Compiled 75 to 44 computations (41.3% saved)

regimes8.0ms (0.1%)

Memory
18.9MiB live, 18.9MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
Calls

5 calls:

2.0ms
b
2.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
1.0ms
a
1.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
1.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
51.9%1(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
51.9%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
51.9%1a
51.9%1b
51.9%1(*.f64 b b)
Compiler

Compiled 75 to 44 computations (41.3% saved)

regimes7.0ms (0.1%)

Memory
-23.2MiB live, 16.4MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

5 calls:

2.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
1.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
1.0ms
a
1.0ms
b
1.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
19.9%1a
19.9%1(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
19.9%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
19.9%1(*.f64 b b)
19.9%1b
Compiler

Compiled 75 to 44 computations (41.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.83166734850442e+39
5.639213386618228e+44
Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.83166734850442e+39
5.639213386618228e+44
Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.83166734850442e+39
5.639213386618228e+44
Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.83166734850442e+39
5.639213386618228e+44
Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch48.0ms (0.5%)

Memory
-0.6MiB live, 78.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
5.531857213155103e+73
3.9811307990791575e+89
20.0ms
-7587583.651110935
-2.695292322027469e-5
Samples
29.0ms320×0valid
Compiler

Compiled 516 to 293 computations (43.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 10.0ms (46.3% of total)
ival-add: 6.0ms (27.8% of total)
ival-pow2: 3.0ms (13.9% of total)
ival-sub: 2.0ms (9.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
3.3MiB live, 3.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
5.531857213155103e+73
3.9811307990791575e+89
1.0ms
-7587583.651110935
-2.695292322027469e-5
Compiler

Compiled 516 to 253 computations (51% saved)

bsearch19.0ms (0.2%)

Memory
-6.5MiB live, 32.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
16.0ms
42797982995748995000.0
2.3747027996400366e+22
Samples
11.0ms128×0valid
Compiler

Compiled 212 to 127 computations (40.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 4.0ms (48% of total)
ival-add: 2.0ms (24% of total)
ival-sub: 1.0ms (12% of total)
ival-pow2: 1.0ms (12% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch35.0ms (0.4%)

Memory
23.4MiB live, 62.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
0.0016654131914302897
15.469636188119162
14.0ms
-7587583.651110935
-2.695292322027469e-5
Samples
21.0ms240×0valid
Compiler

Compiled 432 to 257 computations (40.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 7.0ms (45.2% of total)
ival-add: 4.0ms (25.9% of total)
ival-sub: 2.0ms (12.9% of total)
ival-pow2: 2.0ms (12.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
3.2MiB live, 3.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
0.0016654131914302897
15.469636188119162
1.0ms
-7587583.651110935
-2.695292322027469e-5
Compiler

Compiled 432 to 239 computations (44.7% saved)

bsearch16.0ms (0.2%)

Memory
-11.3MiB live, 28.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
7.413940845286856e+306
+inf
Samples
10.0ms112×0valid
Compiler

Compiled 174 to 114 computations (34.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 3.0ms (43.9% of total)
ival-add: 2.0ms (29.3% of total)
ival-sub: 1.0ms (14.6% of total)
ival-pow2: 1.0ms (14.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify10.0ms (0.1%)

Memory
20.3MiB live, 20.3MiB allocated
Algorithm
egg-herbie
Rules
18×*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
1-exp_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01201237
11351237
21381237
31431237
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))) #s(literal 1 binary64))
(if (<=.f64 (*.f64 b b) #s(literal 1999999999999999879418332743206357172224 binary64)) #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) -1)))) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) -1)) (*.f64 (*.f64 (*.f64 b b) b) b)))))
(if (<=.f64 (*.f64 b b) #s(literal 1999999999999999879418332743206357172224 binary64)) #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) -1)))) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 b b) b) b)))
(if (<=.f64 (*.f64 b b) #s(literal 1999999999999999879418332743206357172224 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 b b) b) b)))
(if (<=.f64 (*.f64 b b) #s(literal 1999999999999999879418332743206357172224 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 a #s(approx (+ (* (* a a) a) (* (+ (* 4 a) 4) a)) (*.f64 (*.f64 (+.f64 #s(literal 4 binary64) a) a) a)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 b b) b) b)))
(if (<=.f64 a #s(literal -7400000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a)) (if (<=.f64 a #s(literal 56000000000000001560727714672506550224046618630900641843237521303187488768 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))))
(if (<=.f64 a #s(literal -7400000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a)) (if (<=.f64 a #s(literal 56000000000000001560727714672506550224046618630900641843237521303187488768 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))))
(if (<=.f64 b #s(literal 44000000000000000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 b b) b) b)))
(if (<=.f64 a #s(literal -230000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a)) (if (<=.f64 a #s(literal 27/2 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a))))
(if (<=.f64 a #s(literal -230000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) (if (<=.f64 a #s(literal 27/2 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))))
(if (<=.f64 (*.f64 b b) #s(literal 36999999999999998609969075708049019953246712847450673683913818282256519247524733675259729039975375686190493434424702850368086245211716113106279403849079742366315897409736941770702965532870657980251252952554361971629931051609258121724664332832298409505460327360320491832549150882306475632878062007399573618688 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
Outputs
(-.f64 (+.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))) #s(literal 1 binary64))
(-.f64 (+.f64 (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #s(literal 4 binary64)) (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))))) #s(literal 1 binary64))
(if (<=.f64 (*.f64 b b) #s(literal 1999999999999999879418332743206357172224 binary64)) #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) -1)))) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) -1)) (*.f64 (*.f64 (*.f64 b b) b) b)))))
(if (<=.f64 (*.f64 b b) #s(literal 1999999999999999879418332743206357172224 binary64)) #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) -1)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) -1)) (*.f64 (*.f64 (*.f64 b b) b) b)))))
(if (<=.f64 (*.f64 b b) #s(literal 1999999999999999879418332743206357172224 binary64)) #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) -1)))) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 b b) b) b)))
(if (<=.f64 (*.f64 b b) #s(literal 1999999999999999879418332743206357172224 binary64)) #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) -1)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 b b) b) b)))
(if (<=.f64 (*.f64 b b) #s(literal 1999999999999999879418332743206357172224 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 b b) b) b)))
(if (<=.f64 (*.f64 b b) #s(literal 1999999999999999879418332743206357172224 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 b b) b) b)))
(if (<=.f64 (*.f64 b b) #s(literal 1999999999999999879418332743206357172224 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 a #s(approx (+ (* (* a a) a) (* (+ (* 4 a) 4) a)) (*.f64 (*.f64 (+.f64 #s(literal 4 binary64) a) a) a)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 b b) b) b)))
(if (<=.f64 a #s(literal -7400000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a)) (if (<=.f64 a #s(literal 56000000000000001560727714672506550224046618630900641843237521303187488768 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))))
(if (<=.f64 a #s(literal -7400000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a)) (if (<=.f64 a #s(literal 56000000000000001560727714672506550224046618630900641843237521303187488768 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))))
(if (<=.f64 b #s(literal 44000000000000000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 b b) b) b)))
(if (<=.f64 a #s(literal -230000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a)) (if (<=.f64 a #s(literal 27/2 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 (*.f64 a a) a) a))))
(if (<=.f64 a #s(literal -230000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) (if (<=.f64 a #s(literal 27/2 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))))
(if (<=.f64 (*.f64 b b) #s(literal 36999999999999998609969075708049019953246712847450673683913818282256519247524733675259729039975375686190493434424702850368086245211716113106279403849079742366315897409736941770702965532870657980251252952554361971629931051609258121724664332832298409505460327360320491832549150882306475632878062007399573618688 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))

soundness1.3s (14.9%)

Memory
-41.0MiB live, 1 009.1MiB allocated
Rules
22 048×lower-fma.f64
22 048×lower-fma.f32
17 276×lower-fma.f64
17 276×lower-fma.f32
11 986×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04097587
113577302
244826899
084646309
052382
086342
1398322
23505322
08516310
019102
032102
1145102
21259102
0825882
053353
081335
1420313
23714313
08677291
01852278
16002240
218342184
358252098
081791858
03557064
111266838
233386424
084575908
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 799 to 326 computations (59.2% saved)

preprocess69.0ms (0.8%)

Memory
22.3MiB live, 177.1MiB allocated
Remove

(abs b)

Compiler

Compiled 808 to 210 computations (74% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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