Bouland and Aaronson, Equation (25)

Time bar (total: 9.9s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

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

Compiled 33 to 20 computations (39.4% saved)

sample1.5s (15.4%)

Memory
-33.4MiB live, 2 123.3MiB allocated
Samples
823.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 642.0ms
ival-mult: 296.0ms (46.1% of total)
ival-add: 167.0ms (26% of total)
ival-pow2: 80.0ms (12.5% of total)
ival-sub: 79.0ms (12.3% of total)
exact: 11.0ms (1.7% of total)
ival-true: 6.0ms (0.9% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain351.0ms (3.5%)

Memory
-4.3MiB live, 513.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
500-0-(+.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))))))
350-0-(+.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))))
120-1(-5.857990741194529e+166 -5.745142041797602e-156)(*.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-rescue500
(*.f64 b b)overflow66
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))overflow165
(*.f64 a a)overflow57
(+.f64 (*.f64 a a) (*.f64 b b))overflow106
(*.f64 b b)overflow66
(*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a))overflow86
(*.f64 a a)overflow57
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))overflow81
(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))overflow132
(*.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)))))overflow132
+.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-rescue350
(*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a))overflow86
(*.f64 a a)overflow57
(*.f64 b b)overflow66
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))overflow81
Confusion
Predicted +Predicted -
+710
-0185
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+7100
-00185
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0185
157
214
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
58.0ms480×0valid
5.0ms14×2valid
4.0ms18×1valid
Compiler

Compiled 339 to 61 computations (82% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-mult: 18.0ms (40.9% of total)
ival-add: 9.0ms (20.5% of total)
ival-pow2: 8.0ms (18.2% of total)
ival-sub: 5.0ms (11.4% of total)
adjust: 2.0ms (4.5% of total)
exact: 1.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess429.0ms (4.3%)

Memory
12.0MiB live, 445.8MiB 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 b) (+.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))) #s(literal -1 binary64)))
Symmetry

(abs b)

Compiler

Compiled 33 to 19 computations (42.4% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.2%
(-.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))
Compiler

Compiled 33 to 19 computations (42.4% saved)

simplify302.0ms (3%)

Memory
20.8MiB live, 356.5MiB 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 b) (+.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))) #s(literal -1 binary64)))
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
(fma.f64 (*.f64 a a) (fma.f64 b b (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))) (*.f64 (*.f64 b b) (+.f64 #s(literal 4 binary64) (fma.f64 a #s(literal -12 binary64) (fma.f64 a a (*.f64 b b))))))
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
(*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))
(+.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 a a (*.f64 b b))
(*.f64 a a)
a
(*.f64 b b)
b
#s(literal 2 binary64)
(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))
(fma.f64 a (*.f64 a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) (*.f64 (*.f64 b b) (fma.f64 a #s(literal -12 binary64) #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 a (fma.f64 a a a) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a))
(*.f64 a (fma.f64 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 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))
(-.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)
(*.f64 a #s(literal 3 binary64))
#s(literal 3 binary64)

localize50.0ms (0.5%)

Memory
5.4MiB live, 81.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.11328125
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
accuracy2.651134514933441
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))
accuracy7.683564851622882
(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))
accuracy9.984375000000002
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 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
28.0ms240×0valid
2.0ms2valid
2.0ms1valid
Compiler

Compiled 153 to 21 computations (86.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 9.0ms (46.4% of total)
ival-add: 4.0ms (20.6% of total)
ival-sub: 2.0ms (10.3% of total)
ival-pow2: 2.0ms (10.3% of total)
adjust: 1.0ms (5.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series14.0ms (0.1%)

Memory
20.0MiB live, 20.0MiB 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 b 4) (taylor 0 a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) (taylor 0 a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) (taylor 0 a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) (taylor 0 a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor inf a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) (taylor inf a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) (taylor inf a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) (taylor inf a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor -inf a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) (taylor -inf a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) (taylor -inf a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* (pow b 2) (- 1 (* 3 a))) (taylor inf b) (#s(alt (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) (patch (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- 1 (* 3 a))) (taylor inf b) (#s(alt (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) (patch (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- 1 (* 3 a))) (taylor inf b) (#s(alt (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) (patch (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- 1 (* 3 a))) (taylor -inf b) (#s(alt (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) (patch (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- 1 (* 3 a))) (taylor -inf b) (#s(alt (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) (patch (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- 1 (* 3 a))) (taylor -inf b) (#s(alt (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) (patch (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- 1 (* 3 a))) (taylor -inf b) (#s(alt (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) (patch (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 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 (+ (* -3 (* a (pow b 2))) (pow b 2)) (taylor 0 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 (+ (* -3 (* a (pow b 2))) (pow b 2)) (taylor 0 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 (+ (* -3 (* a (pow b 2))) (pow b 2)) (taylor 0 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 (* -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 (* a (+ (* -3 (pow b 2)) (/ (pow b 2) a))) (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 (* a (+ (* -3 (pow b 2)) (/ (pow b 2) a))) (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 (* a (+ (* -3 (pow b 2)) (/ (pow b 2) a))) (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 (* -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

36 calls:

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

simplify392.0ms (4%)

Memory
-59.7MiB live, 378.8MiB 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
01852332
16002246
218372184
358192098
081701858
Stop Event
iter limit
node limit
Counts
144 → 144
Calls
Call 1
Inputs
(pow b 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(pow a 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))
(pow a 4)
(* (pow a 4) (+ 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 (* -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))))
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(pow b 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)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (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 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 (* -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))))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 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)
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(pow a 2)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(pow a 2)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(pow a 2)
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(pow b 2)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(pow b 2)
(+ (* -3 (* a (pow b 2))) (pow b 2))
(+ (* a (+ a (* -3 (pow b 2)))) (pow b 2))
(+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2))
(pow a 3)
(* (pow a 3) (+ 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)))
(* -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 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 (/ (* (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 (/ (* (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 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 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(pow b 2)
(+ (* -3 (* a (pow b 2))) (pow b 2))
(+ (* -3 (* a (pow b 2))) (pow b 2))
(+ (* -3 (* a (pow b 2))) (pow b 2))
(* -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)))
(* -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 b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(*.f64 (*.f64 b b) (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a))))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a))))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(*.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a))))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a))))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 a (*.f64 a (*.f64 a a))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 a (*.f64 a (*.f64 a a))))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
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(pow a 4)
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(pow b 4)
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(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
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(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
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(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
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(pow a 4)
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(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
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(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
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(* (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)))))))
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(pow a 4)
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(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
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(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
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(- (+ (* 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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(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
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(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
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(pow b 4)
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(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
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(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
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(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
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(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
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(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
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(pow b 2)
(*.f64 b b)
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(+ (pow a 2) (pow b 2))
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(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(pow a 2)
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(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(pow a 2)
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(* (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))))
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(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(pow a 2)
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(+ (pow a 2) (pow b 2))
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(+ (pow a 2) (pow b 2))
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(pow b 2)
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(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
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(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
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(pow b 2)
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(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
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(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
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(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
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(pow b 2)
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(+ (* -3 (* a (pow b 2))) (pow b 2))
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(+ (* a (+ a (* -3 (pow b 2)))) (pow b 2))
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(+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2))
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(pow a 3)
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(* (pow a 3) (+ 1 (/ 1 a)))
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(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a))))
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(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3))))))
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(pow a 3)
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(* (pow a 3) (+ 1 (/ 1 a)))
(*.f64 a (fma.f64 a a a))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1)))
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(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1)))
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(* (pow a 2) (+ 1 a))
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(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))
(fma.f64 a (fma.f64 b (*.f64 b #s(literal -3 binary64)) (fma.f64 a a a)) (*.f64 b b))
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))
(fma.f64 a (fma.f64 b (*.f64 b #s(literal -3 binary64)) (fma.f64 a a a)) (*.f64 b b))
(* (pow b 2) (- 1 (* 3 a)))
(*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(*.f64 (*.f64 b b) (fma.f64 a (+.f64 (/.f64 (fma.f64 a a a) (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64)))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(*.f64 (*.f64 b b) (fma.f64 a (+.f64 (/.f64 (fma.f64 a a a) (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64)))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(*.f64 (*.f64 b b) (fma.f64 a (+.f64 (/.f64 (fma.f64 a a a) (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64)))
(* (pow b 2) (- 1 (* 3 a)))
(*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(*.f64 (*.f64 b b) (fma.f64 a (+.f64 (/.f64 (fma.f64 a a a) (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64)))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(*.f64 (*.f64 b b) (fma.f64 a (+.f64 (/.f64 (fma.f64 a a a) (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64)))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(*.f64 (*.f64 b b) (fma.f64 a (+.f64 (/.f64 (fma.f64 a a a) (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64)))
(* (pow b 2) (- 1 (* 3 a)))
(*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b))
(* (pow b 2) (- 1 (* 3 a)))
(*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b))
(* (pow b 2) (- 1 (* 3 a)))
(*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b))
(* (pow b 2) (- 1 (* 3 a)))
(*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b))
(* (pow b 2) (- 1 (* 3 a)))
(*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b))
(* (pow b 2) (- 1 (* 3 a)))
(*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b))
(* (pow b 2) (- 1 (* 3 a)))
(*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b))
(* (pow b 2) (- 1 (* 3 a)))
(*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b))
(* (pow b 2) (- 1 (* 3 a)))
(*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b))
(* (pow b 2) (- 1 (* 3 a)))
(*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b))
(* (pow b 2) (- 1 (* 3 a)))
(*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b))
(* (pow b 2) (- 1 (* 3 a)))
(*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b))
(pow b 2)
(*.f64 b b)
(+ (* -3 (* a (pow b 2))) (pow b 2))
(*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b))
(+ (* -3 (* a (pow b 2))) (pow b 2))
(*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b))
(+ (* -3 (* a (pow b 2))) (pow b 2))
(*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b))
(* -3 (* a (pow b 2)))
(*.f64 a (*.f64 (*.f64 b b) #s(literal -3 binary64)))
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))
(*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b))
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))
(*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b))
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))
(*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b))
(* -3 (* a (pow b 2)))
(*.f64 a (*.f64 (*.f64 b b) #s(literal -3 binary64)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))
(*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))
(*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))
(*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b))

rewrite301.0ms (3%)

Memory
8.6MiB live, 396.3MiB 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 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)))
(+.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)))
(+.f64 (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))))
(+.f64 (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (fma.f64 a a (*.f64 b b)))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (fma.f64 a a (*.f64 b b)))) #s(literal 1 binary64)))
(fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))))
(fma.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b)) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))))
(fma.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)))
(fma.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)))
(/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a))))) (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (fma.f64 a a (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 a a (*.f64 b b)))))
(/.f64 (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (*.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a))))))
(/.f64 (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (*.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a))))))
(/.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))))
(/.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (*.f64 (+.f64 a b) (-.f64 a b)))
(/.f64 (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (fma.f64 a a (*.f64 b b))) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))))
(/.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 a a (*.f64 b b))) (*.f64 (+.f64 a b) (-.f64 a b)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))))) (neg.f64 (*.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))))) (neg.f64 (*.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (+.f64 a b) (-.f64 a b)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))))) (neg.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))))) (neg.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))))) (neg.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))))) (neg.f64 (*.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (fma.f64 a a (*.f64 b b)))) (neg.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 a a (*.f64 b b)))) (neg.f64 (*.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) (-.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b))) (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a))) (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))) (-.f64 (*.f64 (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b)))) (*.f64 (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))) (-.f64 (*.f64 (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)))) (*.f64 (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a))) (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)))) (-.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b))))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b))) (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)))) (-.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 a (*.f64 (fma.f64 a a a) (*.f64 a (fma.f64 a a a)))) (-.f64 (*.f64 a (fma.f64 a a a)) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 b (*.f64 (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))))) (-.f64 (*.f64 a (fma.f64 a a a)) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 a (*.f64 (fma.f64 a a a) (*.f64 a (fma.f64 a a a)))) (-.f64 (*.f64 a (fma.f64 a a a)) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))))) (/.f64 (*.f64 a (*.f64 (fma.f64 a a a) (*.f64 a (fma.f64 a a a)))) (-.f64 (*.f64 a (fma.f64 a a a)) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))))) (fma.f64 (/.f64 (*.f64 b (*.f64 (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))))) (-.f64 (*.f64 a (fma.f64 a a a)) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))))) (/.f64 (*.f64 b (*.f64 (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))))) (-.f64 (*.f64 a (fma.f64 a a a)) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))))) (*.f64 (/.f64 (*.f64 a (*.f64 (fma.f64 a a a) (*.f64 a (fma.f64 a a a)))) (-.f64 (*.f64 a (fma.f64 a a a)) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))))) (/.f64 (*.f64 b (*.f64 (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))))) (-.f64 (*.f64 a (fma.f64 a a a)) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))))))))
(/.f64 (-.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))) (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))))) (-.f64 (*.f64 a a) (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (*.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a a)) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a a))) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (-.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a a)) (*.f64 a (*.f64 a a))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 a (*.f64 (fma.f64 a a a) (*.f64 a (fma.f64 a a a)))) (-.f64 (*.f64 a (fma.f64 a a a)) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))))) (/.f64 (*.f64 a (*.f64 (fma.f64 a a a) (*.f64 a (fma.f64 a a a)))) (-.f64 (*.f64 a (fma.f64 a a a)) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))))) (*.f64 (/.f64 (*.f64 b (*.f64 (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))))) (-.f64 (*.f64 a (fma.f64 a a a)) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))))) (/.f64 (*.f64 b (*.f64 (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))))) (-.f64 (*.f64 a (fma.f64 a a a)) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))))))) (+.f64 (/.f64 (*.f64 a (*.f64 (fma.f64 a a a) (*.f64 a (fma.f64 a a a)))) (-.f64 (*.f64 a (fma.f64 a a a)) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))))) (/.f64 (*.f64 b (*.f64 (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))))) (-.f64 (*.f64 a (fma.f64 a a a)) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a a a) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a a a) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))))
(*.f64 (fma.f64 (*.f64 a (fma.f64 a a a)) (*.f64 a (*.f64 (fma.f64 a a a) (*.f64 a (fma.f64 a a a)))) (*.f64 (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) (*.f64 b (*.f64 (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) (-.f64 (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) (*.f64 a (fma.f64 a a a))) (*.f64 a (*.f64 (fma.f64 a a a) (*.f64 a (fma.f64 a a a)))))))
(*.f64 (fma.f64 (*.f64 a (fma.f64 a a a)) (*.f64 a (*.f64 (fma.f64 a a a) (*.f64 a (fma.f64 a a a)))) (*.f64 (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) (*.f64 b (*.f64 (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))))))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))) (-.f64 (*.f64 a (*.f64 (fma.f64 a a a) (*.f64 a (fma.f64 a a a)))) (*.f64 a (*.f64 (fma.f64 a a a) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))))))))
(*.f64 (*.f64 (fma.f64 a (fma.f64 a a a) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))) (-.f64 (*.f64 a (fma.f64 a a a)) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (fma.f64 a a a)) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 a (fma.f64 a a a)) (*.f64 a (*.f64 (fma.f64 a a a) (*.f64 a (fma.f64 a a a)))) (*.f64 (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) (*.f64 b (*.f64 (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) (-.f64 (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) (*.f64 a (fma.f64 a a a))) (*.f64 a (*.f64 (fma.f64 a a a) (*.f64 a (fma.f64 a a a))))))))
(*.f64 (neg.f64 (*.f64 (fma.f64 a (fma.f64 a a a) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))) (-.f64 (*.f64 a (fma.f64 a a a)) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 a (fma.f64 a a a)) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))))))
(*.f64 (-.f64 (*.f64 b (*.f64 (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))))) (*.f64 a (*.f64 (fma.f64 a a a) (*.f64 a (fma.f64 a a a))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) (*.f64 a (fma.f64 a a a)))))
(+.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 a #s(literal -3 binary64))))
(+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))
(fma.f64 b b (*.f64 (*.f64 b b) (*.f64 a #s(literal -3 binary64))))
(fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))
(fma.f64 (*.f64 b b) #s(literal 1 binary64) (*.f64 (*.f64 b b) (*.f64 a #s(literal -3 binary64))))
(fma.f64 (*.f64 b b) #s(literal 1 binary64) (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))
(fma.f64 #s(literal 1 binary64) (*.f64 b b) (*.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)))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 (*.f64 b b) (*.f64 a #s(literal -3 binary64))))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))
(/.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 a #s(literal 3 binary64)) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 27 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) #s(literal 9 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 a #s(literal 3 binary64)) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 27 binary64))) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (*.f64 b b))))
(/.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 27 binary64)))) (fma.f64 (*.f64 a #s(literal 3 binary64)) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 27 binary64))) (*.f64 b b)) (fma.f64 (*.f64 a #s(literal 3 binary64)) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (*.f64 b b)) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 27 binary64))))) (neg.f64 (fma.f64 (*.f64 a #s(literal 3 binary64)) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) #s(literal 9 binary64))))) (neg.f64 (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 27 binary64))) (*.f64 b b))) (neg.f64 (fma.f64 (*.f64 a #s(literal 3 binary64)) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (*.f64 b b))) (neg.f64 (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64))))
(/.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (pow.f64 (*.f64 (*.f64 b b) (*.f64 a #s(literal -3 binary64))) #s(literal 3 binary64))) (fma.f64 b (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 a #s(literal -3 binary64))) (*.f64 (*.f64 b b) (*.f64 a #s(literal -3 binary64)))) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 a #s(literal -3 binary64)))))))
(/.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (pow.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) #s(literal 3 binary64))) (fma.f64 b (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))))
(/.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) (*.f64 a #s(literal -3 binary64))) (*.f64 (*.f64 b b) (*.f64 a #s(literal -3 binary64))))) (-.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 a #s(literal -3 binary64)))))
(/.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (-.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 b b) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))
(*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b))
(*.f64 (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) b)
(*.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 27 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a #s(literal 3 binary64)) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 27 binary64))) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a #s(literal 3 binary64)) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64))))

eval120.0ms (1.2%)

Memory
-2.0MiB live, 198.8MiB allocated
Compiler

Compiled 60 088 to 2 575 computations (95.7% saved)

prune86.0ms (0.9%)

Memory
32.5MiB live, 191.9MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New6777684
Fresh000
Picked101
Done000
Total6787685
Accuracy
100.0%
Counts
685 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (fma.f64 #s(literal 4 binary64) (fma.f64 a (fma.f64 a a a) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))) #s(literal -1 binary64)))))
63.3%
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
69.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
67.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
78.1%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))))
48.3%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))
46.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
Compiler

Compiled 280 to 148 computations (47.1% saved)

simplify408.0ms (4.1%)

Memory
11.7MiB live, 443.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
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 b b)
cost-diff0
(*.f64 b (*.f64 b b))
cost-diff0
(*.f64 b (*.f64 b (*.f64 b b)))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))
cost-diff0
(*.f64 a a)
cost-diff0
(*.f64 a (*.f64 a a))
cost-diff0
(*.f64 a (*.f64 a (*.f64 a a)))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
cost-diff0
(fma.f64 b b #s(literal 4 binary64))
cost-diff0
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))))
cost-diff320
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))
Rules
33 860×lower-fma.f32
33 842×lower-fma.f64
4 338×lower-+.f64
4 338×lower-+.f32
3 678×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043370
067358
1164350
2430350
31167345
43200345
55053345
67662345
08092318
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))))
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))
b
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(fma.f64 b b #s(literal 4 binary64))
#s(literal 4 binary64)
(fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))
a
(fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a))
(*.f64 b b)
(fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64))
#s(literal 2 binary64)
#s(literal -12 binary64)
(*.f64 #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) (*.f64 a (*.f64 a (*.f64 a a))))
(*.f64 a (*.f64 a (*.f64 a a)))
a
(*.f64 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) (*.f64 b (*.f64 b (*.f64 b b))))
(*.f64 b (*.f64 b (*.f64 b b)))
b
(*.f64 b (*.f64 b b))
(*.f64 b b)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 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)
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #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 a (*.f64 a #s(literal 4 binary64)) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64)))) #s(literal -1 binary64))))
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))
(fma.f64 a (*.f64 a #s(literal 4 binary64)) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64)))) #s(literal -1 binary64)))
b
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(fma.f64 b b #s(literal 4 binary64))
#s(literal 4 binary64)
(fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))
(fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 a #s(literal 4 binary64))) #s(literal -1 binary64))
a
(fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a))
(fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 a #s(literal 4 binary64)))
(*.f64 b b)
(fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64))
(fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))
#s(literal 2 binary64)
#s(literal -12 binary64)
(*.f64 #s(literal 4 binary64) a)
(*.f64 a #s(literal 4 binary64))
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
(*.f64 a (*.f64 a (*.f64 a a)))
a
(*.f64 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) (*.f64 b (*.f64 b (*.f64 b b))))
(*.f64 b (*.f64 b (*.f64 b b)))
b
(*.f64 b (*.f64 b b))
(*.f64 b b)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 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 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 a a)
a
(fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))
(fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
(fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)

localize101.0ms (1%)

Memory
-24.6MiB live, 145.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 a a)
accuracy0.00390625
(fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))
accuracy0.03515625
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
accuracy20.84989141062322
#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)
accuracy0.0625
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
accuracy19.39105617945514
#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 b b)
accuracy0.07421875
(*.f64 b (*.f64 b (*.f64 b b)))
accuracy0.07421875
(*.f64 b (*.f64 b b))
accuracy33.08303201521016
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))
accuracy0
(*.f64 a a)
accuracy0.0625
(*.f64 a (*.f64 a (*.f64 a a)))
accuracy0.09375
(*.f64 a (*.f64 a a))
accuracy34.574009373780775
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
accuracy0.0859375
(fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a))
accuracy1.2187500000000002
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))
accuracy4.644311580617502
(fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))
accuracy9.959237568794197
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))))
Samples
62.0ms256×0valid
Compiler

Compiled 332 to 44 computations (86.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-mult: 25.0ms (54% of total)
ival-add: 16.0ms (34.5% of total)
ival-sub: 2.0ms (4.3% of total)
ival-pow2: 2.0ms (4.3% of total)
exact: 1.0ms (2.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series29.0ms (0.3%)

Memory
-5.0MiB live, 36.8MiB allocated
Counts
19 → 324
Calls
Call 1
Inputs
#s(alt (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))) (patch (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #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 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (patch (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 b b #s(literal 4 binary64)) (patch (fma.f64 b b #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 a (*.f64 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 a (*.f64 a (*.f64 a a)))) #<representation binary64>) () ())
#s(alt (*.f64 a (*.f64 a (*.f64 a a))) (patch (*.f64 a (*.f64 a (*.f64 a a))) #<representation binary64>) () ())
#s(alt (*.f64 a (*.f64 a a)) (patch (*.f64 a (*.f64 a a)) #<representation binary64>) () ())
#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 b (*.f64 b (*.f64 b b)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 b (*.f64 b (*.f64 b b)))) #<representation binary64>) () ())
#s(alt (*.f64 b (*.f64 b (*.f64 b b))) (patch (*.f64 b (*.f64 b (*.f64 b b))) #<representation binary64>) () ())
#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())
#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 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 (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 (fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)) (patch (fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) (patch (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #<representation binary64>) () ())
Outputs
#s(alt (- (* 4 (pow a 2)) 1) (taylor 0 b) (#s(alt (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))) (patch (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1) (taylor 0 b) (#s(alt (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))) (patch (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* a (- (* -2 (pow b 2)) 4))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) (patch (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (+ (* -2 (pow b 2)) (* 12 (/ (pow b 2) a))) 4))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) (patch (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (+ (* -2 (pow b 2)) (* 12 (/ (pow b 2) a))) 4))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) (patch (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (+ (* -2 (pow b 2)) (* 12 (/ (pow b 2) a))) 4))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) (patch (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #<representation binary64>) () ())) ())
Calls

81 calls:

TimeVariablePointExpression
4.0ms
a
@0
(+ (* a (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))) -1)
1.0ms
b
@0
(+ (* b (* b (+ (* b b) 4))) (+ (* a (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))) -1))
1.0ms
b
@inf
(+ (* b (* b (+ (* b b) 4))) (+ (* a (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))) -1))
1.0ms
a
@-inf
(+ (* b (* b (+ (* b b) 4))) (+ (* a (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))) -1))
0.0ms
a
@inf
(+ (* b (* b (+ (* b b) 4))) (+ (* a (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))) -1))

simplify315.0ms (3.2%)

Memory
-7.6MiB live, 314.1MiB allocated
Algorithm
egg-herbie
Rules
16 756×lower-fma.f64
16 756×lower-fma.f32
5 306×lower-+.f64
5 306×lower-+.f32
3 304×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02325178
17535069
223124830
369324698
083084189
Stop Event
iter limit
node limit
Counts
324 → 324
Calls
Call 1
Inputs
(- (* 4 (pow a 2)) 1)
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1)
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))))) 1)
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) (/ 1 (pow b 4))))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(- (+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(- (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(- (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(* (pow a 2) (+ 4 (* 2 (pow b 2))))
(* (pow a 2) (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))))
(* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))))) (/ 1 (pow a 2))))
(* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))))) (/ 1 (pow a 2))))
(* -1 (* (pow a 2) (- (* -2 (pow b 2)) 4)))
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* -1 (- (* -2 (pow b 2)) 4))))
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* -1 (/ (- (* (pow b 2) (+ 4 (pow b 2))) 1) a)) (* 12 (pow b 2))) a))))
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* -1 (/ (- (* (pow b 2) (+ 4 (pow b 2))) 1) a)) (* 12 (pow b 2))) a))))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(pow 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 (* -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))))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 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))))
(* 4 b)
(* b (+ 4 (pow b 2)))
(* b (+ 4 (pow b 2)))
(* b (+ 4 (pow b 2)))
(pow b 3)
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(pow b 3)
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
4
(+ 4 (pow b 2))
(+ 4 (pow b 2))
(+ 4 (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 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)))))
(- (+ (* 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) (+ 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 (* -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))))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 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 a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(- (+ (* 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) (+ 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 (* -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))))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 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)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(- (+ (* 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) (+ 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 (* -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))))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 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))))
-1
(- (* 4 (pow b 2)) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(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 (* 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))))
4
(+ 4 (* 4 a))
(+ 4 (* a (+ 4 a)))
(+ 4 (* a (+ 4 a)))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(- (+ (* 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) (+ 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 (* -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))))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 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))))
-1
(- (* 4 (pow a 2)) 1)
(- (* (pow a 2) (+ 4 (* 4 a))) 1)
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)
(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 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4) a))))
-1
(- (* -12 (* a (pow b 2))) 1)
(- (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) 1)
(- (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) 1)
(* (pow a 2) (+ 4 (* 2 (pow b 2))))
(* (pow a 2) (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))))
(* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) (/ 1 (pow a 2))))
(* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) (/ 1 (pow a 2))))
(* -1 (* (pow a 2) (- (* -2 (pow b 2)) 4)))
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* -1 (- (* -2 (pow b 2)) 4))))
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* 12 (pow b 2)) (/ 1 a)) a))))
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* 12 (pow b 2)) (/ 1 a)) a))))
(- (* 4 (pow a 2)) 1)
(- (+ (* 4 (pow a 2)) (* a (* (pow b 2) (- (* 2 a) 12)))) 1)
(- (+ (* 4 (pow a 2)) (* a (* (pow b 2) (- (* 2 a) 12)))) 1)
(- (+ (* 4 (pow a 2)) (* a (* (pow b 2) (- (* 2 a) 12)))) 1)
(* a (* (pow b 2) (- (* 2 a) 12)))
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))
(* a (* (pow b 2) (- (* 2 a) 12)))
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))
(* 4 a)
(+ (* 4 a) (* (pow b 2) (- (* 2 a) 12)))
(+ (* 4 a) (* (pow b 2) (- (* 2 a) 12)))
(+ (* 4 a) (* (pow b 2) (- (* 2 a) 12)))
(* (pow b 2) (- (* 2 a) 12))
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))
(* (pow b 2) (- (* 2 a) 12))
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))
(* -12 (pow b 2))
(+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))
(+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))
(+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))
(* a (+ 4 (* 2 (pow b 2))))
(* a (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))))
(* a (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))))
(* a (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))))
(* -1 (* a (- (* -2 (pow b 2)) 4)))
(* -1 (* a (- (+ (* -2 (pow b 2)) (* 12 (/ (pow b 2) a))) 4)))
(* -1 (* a (- (+ (* -2 (pow b 2)) (* 12 (/ (pow b 2) a))) 4)))
(* -1 (* a (- (+ (* -2 (pow b 2)) (* 12 (/ (pow b 2) a))) 4)))
Outputs
(- (* 4 (pow a 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 a a) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))))) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 a a) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))))) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 a a) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) (/.f64 a (*.f64 b b)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b)))))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 #s(literal 4 binary64) (fma.f64 a (/.f64 a (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (fma.f64 (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) #s(literal -1 binary64))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 #s(literal 4 binary64) (fma.f64 a (/.f64 a (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (fma.f64 (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) (/.f64 a (*.f64 b b)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b)))))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 #s(literal 4 binary64) (fma.f64 a (/.f64 a (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (fma.f64 (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) #s(literal -1 binary64))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 #s(literal 4 binary64) (fma.f64 a (/.f64 a (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (fma.f64 (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) #s(literal -1 binary64))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))
(- (+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(fma.f64 (*.f64 b b) (fma.f64 a #s(literal -12 binary64) (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))
(- (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 a a) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))
(- (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 a a) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))
(* (pow a 2) (+ 4 (* 2 (pow b 2))))
(*.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))
(* (pow a 2) (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))))
(*.f64 a (*.f64 a (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64))))
(* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))))) (/ 1 (pow a 2))))
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal -12 binary64) a) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a)))) #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))))) (/ 1 (pow a 2))))
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal -12 binary64) a) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a)))) #s(literal 4 binary64)) #s(literal -1 binary64))
(* -1 (* (pow a 2) (- (* -2 (pow b 2)) 4)))
(*.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* -1 (- (* -2 (pow b 2)) 4))))
(*.f64 a (*.f64 a (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64))))
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* -1 (/ (- (* (pow b 2) (+ 4 (pow b 2))) 1) a)) (* 12 (pow b 2))) a))))
(*.f64 (*.f64 a a) (-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 12 binary64)) (/.f64 (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)) a)) a)))
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* -1 (/ (- (* (pow b 2) (+ 4 (pow b 2))) 1) a)) (* 12 (pow b 2))) a))))
(*.f64 (*.f64 a a) (-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 12 binary64)) (/.f64 (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)) a)) a)))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(fma.f64 (*.f64 b b) (fma.f64 a #s(literal -12 binary64) (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 a a) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(+.f64 #s(literal -1 binary64) (fma.f64 a (*.f64 a (fma.f64 #s(literal 4 binary64) a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))) (*.f64 (*.f64 b b) (fma.f64 a #s(literal -12 binary64) (fma.f64 b b #s(literal 4 binary64))))))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 (/.f64 #s(literal 4 binary64) a) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) (fma.f64 (/.f64 b (*.f64 a a)) (*.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) (+.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a))))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64)) a)) a)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 a a))) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))) #s(literal -1 binary64)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b)) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (+.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (+.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b)) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (+.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (+.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64))
(* 4 b)
(*.f64 #s(literal 4 binary64) b)
(* b (+ 4 (pow b 2)))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(* b (+ 4 (pow b 2)))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(* b (+ 4 (pow b 2)))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(pow b 3)
(*.f64 b (*.f64 b b))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(pow b 3)
(*.f64 b (*.f64 b b))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
4
#s(literal 4 binary64)
(+ 4 (pow b 2))
(fma.f64 b b #s(literal 4 binary64))
(+ 4 (pow b 2))
(fma.f64 b b #s(literal 4 binary64))
(+ 4 (pow b 2))
(fma.f64 b b #s(literal 4 binary64))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 4 binary64))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 4 binary64))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 4 binary64))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 4 binary64))
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(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
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(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
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(pow b 4)
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(pow b 4)
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(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
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-1
#s(literal -1 binary64)
(- (* 4 (pow b 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
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(- (* (pow b 2) (+ 4 (pow b 2))) 1)
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(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
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(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
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(pow b 4)
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(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
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4
#s(literal 4 binary64)
(+ 4 (* 4 a))
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
(+ 4 (* a (+ 4 a)))
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(+ 4 (* a (+ 4 a)))
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(pow a 2)
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(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
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(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
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(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
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(pow a 2)
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(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
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(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
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(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
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(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
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(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
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(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
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(* (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)))))))
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(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
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(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
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(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
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(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
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(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (+.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (+.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* 4 (pow a 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(- (* (pow a 2) (+ 4 (* 4 a))) 1)
(fma.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) #s(literal -1 binary64))
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 (/.f64 #s(literal 4 binary64) a) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 a a)))))
(* (pow a 4) (- (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))) (/ 1 (pow a 4))))
(fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 (/.f64 #s(literal 4 binary64) a) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 a a)))) #s(literal -1 binary64))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 (/.f64 #s(literal 4 binary64) a) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 a a)))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4) a))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a a))) a)) a)))
-1
#s(literal -1 binary64)
(- (* -12 (* a (pow b 2))) 1)
(fma.f64 a (*.f64 (*.f64 b b) #s(literal -12 binary64)) #s(literal -1 binary64))
(- (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) 1)
(fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))
(- (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) 1)
(fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))
(* (pow a 2) (+ 4 (* 2 (pow b 2))))
(*.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))
(* (pow a 2) (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))))
(*.f64 a (*.f64 a (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64))))
(* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) (/ 1 (pow a 2))))
(fma.f64 a (*.f64 a (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64))) #s(literal -1 binary64))
(* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) (/ 1 (pow a 2))))
(fma.f64 a (*.f64 a (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64))) #s(literal -1 binary64))
(* -1 (* (pow a 2) (- (* -2 (pow b 2)) 4)))
(*.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* -1 (- (* -2 (pow b 2)) 4))))
(*.f64 a (*.f64 a (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64))))
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* 12 (pow b 2)) (/ 1 a)) a))))
(*.f64 (*.f64 a a) (-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) (/.f64 (fma.f64 b (*.f64 b #s(literal 12 binary64)) (/.f64 #s(literal 1 binary64) a)) a)))
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* 12 (pow b 2)) (/ 1 a)) a))))
(*.f64 (*.f64 a a) (-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) (/.f64 (fma.f64 b (*.f64 b #s(literal 12 binary64)) (/.f64 #s(literal 1 binary64) a)) a)))
(- (* 4 (pow a 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(- (+ (* 4 (pow a 2)) (* a (* (pow b 2) (- (* 2 a) 12)))) 1)
(fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))
(- (+ (* 4 (pow a 2)) (* a (* (pow b 2) (- (* 2 a) 12)))) 1)
(fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))
(- (+ (* 4 (pow a 2)) (* a (* (pow b 2) (- (* 2 a) 12)))) 1)
(fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))
(* a (* (pow b 2) (- (* 2 a) 12)))
(*.f64 b (*.f64 b (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))))
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) (*.f64 a (*.f64 #s(literal 4 binary64) (/.f64 a (*.f64 b b))))) #s(literal -1 binary64))
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) (*.f64 a (*.f64 #s(literal 4 binary64) (/.f64 a (*.f64 b b))))) #s(literal -1 binary64))
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) (*.f64 a (*.f64 #s(literal 4 binary64) (/.f64 a (*.f64 b b))))) #s(literal -1 binary64))
(* a (* (pow b 2) (- (* 2 a) 12)))
(*.f64 b (*.f64 b (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))))
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) (*.f64 a (*.f64 #s(literal 4 binary64) (/.f64 a (*.f64 b b))))) #s(literal -1 binary64))
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) (*.f64 a (*.f64 #s(literal 4 binary64) (/.f64 a (*.f64 b b))))) #s(literal -1 binary64))
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) (*.f64 a (*.f64 #s(literal 4 binary64) (/.f64 a (*.f64 b b))))) #s(literal -1 binary64))
(* 4 a)
(*.f64 #s(literal 4 binary64) a)
(+ (* 4 a) (* (pow b 2) (- (* 2 a) 12)))
(fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a))
(+ (* 4 a) (* (pow b 2) (- (* 2 a) 12)))
(fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a))
(+ (* 4 a) (* (pow b 2) (- (* 2 a) 12)))
(fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a))
(* (pow b 2) (- (* 2 a) 12))
(*.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))))
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))
(*.f64 (*.f64 b b) (fma.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -12 binary64)))
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))
(*.f64 (*.f64 b b) (fma.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -12 binary64)))
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))
(*.f64 (*.f64 b b) (fma.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -12 binary64)))
(* (pow b 2) (- (* 2 a) 12))
(*.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))))
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))
(*.f64 (*.f64 b b) (fma.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -12 binary64)))
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))
(*.f64 (*.f64 b b) (fma.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -12 binary64)))
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))
(*.f64 (*.f64 b b) (fma.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -12 binary64)))
(* -12 (pow b 2))
(*.f64 (*.f64 b b) #s(literal -12 binary64))
(+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))
(fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a))
(+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))
(fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a))
(+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))
(fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a))
(* a (+ 4 (* 2 (pow b 2))))
(*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))
(* a (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))))
(*.f64 a (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64)))
(* a (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))))
(*.f64 a (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64)))
(* a (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))))
(*.f64 a (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64)))
(* -1 (* a (- (* -2 (pow b 2)) 4)))
(*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))
(* -1 (* a (- (+ (* -2 (pow b 2)) (* 12 (/ (pow b 2) a))) 4)))
(*.f64 a (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64)))
(* -1 (* a (- (+ (* -2 (pow b 2)) (* 12 (/ (pow b 2) a))) 4)))
(*.f64 a (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64)))
(* -1 (* a (- (+ (* -2 (pow b 2)) (* 12 (/ (pow b 2) a))) 4)))
(*.f64 a (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64)))

rewrite310.0ms (3.1%)

Memory
33.3MiB live, 416.0MiB allocated
Rules
5 912×lower-*.f32
5 896×lower-*.f64
4 962×lower-fma.f32
4 944×lower-fma.f64
3 666×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043332
067320
1339312
22958312
09291279
Stop Event
iter limit
node limit
iter limit
Counts
19 → 465
Calls
Call 1
Inputs
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #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 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(fma.f64 b b #s(literal 4 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
(*.f64 a (*.f64 a (*.f64 a a)))
(*.f64 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) (*.f64 b (*.f64 b (*.f64 b b))))
(*.f64 b (*.f64 b (*.f64 b b)))
(*.f64 b (*.f64 b b))
(*.f64 b b)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 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))
(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))
(fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a))
Outputs
(+.f64 #s(literal -1 binary64) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))))
(+.f64 (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))))
(+.f64 (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a))))
(+.f64 (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))
(+.f64 (*.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a))) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))))
(+.f64 (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))) #s(literal -1 binary64))
(+.f64 (+.f64 (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
(-.f64 (/.f64 (*.f64 (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))) (-.f64 (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))) (/.f64 (*.f64 (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))) (-.f64 (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))))
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))
(fma.f64 b (*.f64 b (*.f64 b b)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))))
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))
(fma.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) b (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))
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(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal -4 binary64) a))) a) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal -4 binary64) a)) (fma.f64 (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))) #s(literal -1 binary64)))) (*.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal -4 binary64) a)) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal 1 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal -4 binary64) a))) a) (neg.f64 (-.f64 (fma.f64 (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))))) (*.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal -4 binary64) a)) (neg.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (*.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (*.f64 b (fma.f64 b b #s(literal 4 binary64))))) #s(literal -1 binary64))))) (*.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal -4 binary64) a)) (neg.f64 (-.f64 (fma.f64 (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))))))))
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal -4 binary64) a))) a) (neg.f64 (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal 1 binary64))) (*.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal -4 binary64) a)) (neg.f64 (fma.f64 (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))) #s(literal -1 binary64))))) (*.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal -4 binary64) a)) (neg.f64 (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal -4 binary64) a))) a) (-.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))) (*.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal -4 binary64) a)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))))))) (*.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal -4 binary64) a)) (-.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))) (-.f64 (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))) (*.f64 (-.f64 (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))) (*.f64 (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))))) (*.f64 (-.f64 (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))) (-.f64 (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))))
(pow.f64 (/.f64 (fma.f64 (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)) (-.f64 (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))) (*.f64 (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))))) (fma.f64 (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)) (*.f64 (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))) (*.f64 (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))) (*.f64 (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))) (*.f64 (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) (-.f64 (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))))) #s(literal -1 binary64))
(*.f64 (fma.f64 (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)) (*.f64 (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))) (*.f64 (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))) (*.f64 (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)) (-.f64 (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))) (*.f64 (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))))))
(*.f64 (*.f64 (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) (-.f64 (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #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 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))))
(+.f64 (*.f64 b (*.f64 b b)) (*.f64 b #s(literal 4 binary64)))
(+.f64 (*.f64 b #s(literal 4 binary64)) (*.f64 b (*.f64 b b)))
(fma.f64 b #s(literal 4 binary64) (*.f64 b (*.f64 b b)))
(fma.f64 b (*.f64 b b) (*.f64 b #s(literal 4 binary64)))
(fma.f64 #s(literal 4 binary64) b (*.f64 b (*.f64 b b)))
(fma.f64 (*.f64 b b) b (*.f64 b #s(literal 4 binary64)))
(fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)) (*.f64 b #s(literal 4 binary64)))
(/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 64 binary64))) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (*.f64 (*.f64 b #s(literal 4 binary64)) (*.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b #s(literal 4 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b #s(literal 4 binary64)) (*.f64 b #s(literal 4 binary64)))) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 b #s(literal 4 binary64))))
(/.f64 (*.f64 b (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 64 binary64))) (-.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal 16 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))))
(/.f64 (*.f64 b (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64))) (fma.f64 b b #s(literal -4 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 64 binary64)) b) (-.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal 16 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))))
(/.f64 (*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) b) (fma.f64 b b #s(literal -4 binary64)))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b)
(+.f64 #s(literal 4 binary64) (*.f64 b b))
(+.f64 (*.f64 b b) #s(literal 4 binary64))
(-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b #s(literal -4 binary64))) (/.f64 #s(literal 16 binary64) (fma.f64 b b #s(literal -4 binary64))))
(fma.f64 b b #s(literal 4 binary64))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal 16 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 64 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -4 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64))))
(/.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 64 binary64)) (-.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal 16 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))))
(/.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 64 binary64)) (+.f64 #s(literal 16 binary64) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
(/.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) (fma.f64 b b #s(literal -4 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 64 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal 16 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64))) (neg.f64 (fma.f64 b b #s(literal -4 binary64))))
(/.f64 (-.f64 #s(literal 16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 4 binary64) (*.f64 b b)))
(/.f64 (-.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b #s(literal -4 binary64))) (*.f64 (fma.f64 b b #s(literal -4 binary64)) #s(literal 16 binary64))) (*.f64 (fma.f64 b b #s(literal -4 binary64)) (fma.f64 b b #s(literal -4 binary64))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal 16 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 64 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 b b #s(literal -4 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 64 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal 16 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
(*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
(exp.f64 (*.f64 (log.f64 a) #s(literal 4 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 a)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 a) (*.f64 #s(literal 2 binary64) (log.f64 a))))
(pow.f64 a #s(literal 4 binary64))
(pow.f64 (*.f64 a a) #s(literal 2 binary64))
(*.f64 a (*.f64 a (*.f64 a a)))
(*.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a a))))
(*.f64 (*.f64 a a) (*.f64 a a))
(*.f64 (*.f64 a (*.f64 a a)) a)
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 a) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 a)) #s(literal 3/2 binary64)))
(pow.f64 a #s(literal 3 binary64))
(pow.f64 (*.f64 a a) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 a #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 3 binary64))
(*.f64 a (*.f64 a a))
(*.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))
(*.f64 (*.f64 a a) a)
(*.f64 (*.f64 a (*.f64 a a)) #s(literal 1 binary64))
(*.f64 (*.f64 a (*.f64 a a)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (*.f64 a (*.f64 a a)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 a)))
(pow.f64 a #s(literal 2 binary64))
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(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a))) (*.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a))) #s(literal 1 binary64)) (*.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) (*.f64 a #s(literal -1 binary64)))) (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) (*.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)))) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal 1 binary64)) (fma.f64 a (*.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) (*.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)))) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) (*.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a))) (*.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a))) #s(literal 1 binary64)) (*.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) (*.f64 a #s(literal -1 binary64))))))
(*.f64 (fma.f64 a (*.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) (*.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal 1 binary64))))
(+.f64 (*.f64 #s(literal 4 binary64) a) (*.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))))
(+.f64 (*.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))) (*.f64 #s(literal 4 binary64) a))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 b b))) (fma.f64 b (*.f64 b #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)))
(+.f64 (fma.f64 #s(literal 4 binary64) a (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 b b)))) (*.f64 (*.f64 b b) #s(literal -12 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))))) (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal -4 binary64) a))) (/.f64 (*.f64 a (*.f64 a #s(literal 16 binary64))) (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal -4 binary64) a))))
(fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a))
(fma.f64 b (*.f64 b (*.f64 a #s(literal 2 binary64))) (fma.f64 b (*.f64 b #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)))
(fma.f64 #s(literal 4 binary64) a (*.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))))
(fma.f64 a #s(literal 4 binary64) (*.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))))
(fma.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b b)) (fma.f64 b (*.f64 b #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)))
(fma.f64 (*.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a))
(fma.f64 (*.f64 b b) (*.f64 a #s(literal 2 binary64)) (fma.f64 b (*.f64 b #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)))
(fma.f64 #s(literal 2 binary64) (*.f64 a (*.f64 b b)) (fma.f64 b (*.f64 b #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)))
(fma.f64 (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) (*.f64 b b) (*.f64 #s(literal 4 binary64) a))
(fma.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 b b) (fma.f64 b (*.f64 b #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)))
(fma.f64 (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) b (*.f64 #s(literal 4 binary64) a))
(fma.f64 (*.f64 (*.f64 a #s(literal 2 binary64)) b) b (fma.f64 b (*.f64 b #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)))
(fma.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64) (fma.f64 b (*.f64 b #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)))
(fma.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a (fma.f64 b (*.f64 b #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) (-.f64 (*.f64 #s(literal 4 binary64) a) (*.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))))) (*.f64 (*.f64 b b) (*.f64 (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))))) (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 64 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal -4 binary64) a)) (*.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal -4 binary64) a)))))
(/.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 64 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))))))) (fma.f64 (*.f64 #s(literal 4 binary64) a) (-.f64 (*.f64 #s(literal 4 binary64) a) (*.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))))) (*.f64 (*.f64 b b) (*.f64 (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))))))
(/.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 64 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))))))) (fma.f64 a (*.f64 a #s(literal 16 binary64)) (-.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))))) (*.f64 (*.f64 #s(literal 4 binary64) a) (*.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))))))))
(/.f64 (*.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal -4 binary64) a))) (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal -4 binary64) a)))
(/.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 64 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))))))) (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) (-.f64 (*.f64 #s(literal 4 binary64) a) (*.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))))) (*.f64 (*.f64 b b) (*.f64 (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal -4 binary64) a)))) (neg.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal -4 binary64) a))))
(/.f64 (-.f64 (*.f64 a (*.f64 a #s(literal 16 binary64))) (*.f64 (*.f64 b b) (*.f64 (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))))) (-.f64 (*.f64 #s(literal 4 binary64) a) (*.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))))) (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal -4 binary64) a))) (*.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal -4 binary64) a)) (*.f64 a (*.f64 a #s(literal 16 binary64))))) (*.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal -4 binary64) a)) (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal -4 binary64) a))))
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) (-.f64 (*.f64 #s(literal 4 binary64) a) (*.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))))) (*.f64 (*.f64 b b) (*.f64 (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))))) (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 64 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal -4 binary64) a)) (*.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal -4 binary64) a)))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 64 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) a) (-.f64 (*.f64 #s(literal 4 binary64) a) (*.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))))) (*.f64 (*.f64 b b) (*.f64 (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))))))))
(*.f64 (*.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal -4 binary64) a))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal -4 binary64) a))))

eval144.0ms (1.5%)

Memory
-1.3MiB live, 237.6MiB allocated
Compiler

Compiled 47 917 to 1 667 computations (96.5% saved)

prune131.0ms (1.3%)

Memory
9.0MiB live, 275.7MiB allocated
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New86411875
Fresh202
Picked325
Done000
Total86913882
Accuracy
100.0%
Counts
882 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.4%
#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)))
69.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64)))
69.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b (*.f64 b b)) b (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))))
43.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -4 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 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) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
45.1%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))))) #s(literal -1 binary64)))
46.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
48.3%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64)))
46.0%
#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)))
48.3%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 b b) (*.f64 b b)))
48.3%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))
46.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
22.2%
#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 312 to 164 computations (47.4% saved)

simplify344.0ms (3.5%)

Memory
18.5MiB live, 331.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 b b)
cost-diff0
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -4 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)))) #s(literal -1 binary64))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -4 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)))) #s(literal -1 binary64)))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -4 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64))))
cost-diff0
(fma.f64 b b #s(literal 4 binary64))
cost-diff0
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
cost-diff0
(fma.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) 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 (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64)))
cost-diff0
#s(approx (+ (* b b) 4) #s(literal 4 binary64))
cost-diff0
(*.f64 b b)
cost-diff0
(fma.f64 (*.f64 b b) #s(approx (+ (* b b) 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 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
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
(*.f64 b b)
cost-diff0
(*.f64 b (*.f64 b b))
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 (*.f64 b b)) b (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))))
cost-diff640
(fma.f64 (*.f64 b (*.f64 b b)) b (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
Rules
18 416×lower-fma.f32
18 400×lower-fma.f64
3 642×lower--.f64
3 642×lower--.f32
3 422×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046384
070367
1146355
2298351
3859351
42539351
54384351
08303324
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b (*.f64 b b)) b (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 b (*.f64 b b)) b (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
(*.f64 b (*.f64 b b))
b
(*.f64 b b)
(fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 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) #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) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 b b)
b
#s(approx (+ (* b b) 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 (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64)))
(fma.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
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 b b) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -4 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)))) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -4 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)))) #s(literal -1 binary64))
(*.f64 b b)
b
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -4 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64))))
#s(literal 1 binary64)
(/.f64 (fma.f64 b b #s(literal -4 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)))
(fma.f64 b b #s(literal -4 binary64))
#s(literal -4 binary64)
(fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64))
#s(literal -16 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 b (*.f64 b b)) b (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 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 (*.f64 b b)) b (fma.f64 b (*.f64 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 (*.f64 b b))
b
(*.f64 b b)
(fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 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) #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) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 b b)
b
#s(approx (+ (* b b) 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 (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
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 b b) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -4 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 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 b (/.f64 (*.f64 b (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -16 binary64))) (fma.f64 b b #s(literal -4 binary64))) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -4 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)))) #s(literal -1 binary64))
(fma.f64 b (/.f64 (*.f64 b (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -16 binary64))) (fma.f64 b b #s(literal -4 binary64))) #s(literal -1 binary64))
(*.f64 b b)
b
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -4 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64))))
(/.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -16 binary64)) (fma.f64 b b #s(literal -4 binary64)))
#s(literal 1 binary64)
(/.f64 (fma.f64 b b #s(literal -4 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)))
(/.f64 (fma.f64 b b #s(literal -4 binary64)) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -16 binary64)))
(fma.f64 b b #s(literal -4 binary64))
#s(literal -4 binary64)
(fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64))
(fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -16 binary64))
#s(literal -16 binary64)
#s(literal -1 binary64)

localize129.0ms (1.3%)

Memory
-40.0MiB live, 70.8MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0625
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -4 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)))) #s(literal -1 binary64))
accuracy0.09765625
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -4 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64))))
accuracy19.39105617945514
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -4 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)))) #s(literal -1 binary64)))
accuracy25.128098543070973
(/.f64 (fma.f64 b b #s(literal -4 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)))
accuracy0
(fma.f64 b b #s(literal 4 binary64))
accuracy0.03125
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
accuracy0.03515625
(fma.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64))
accuracy19.39105617945514
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64)))
accuracy0
(*.f64 b b)
accuracy0.0625
(fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))
accuracy19.39105617945514
#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)))
accuracy33.374920129297784
#s(approx (+ (* b b) 4) #s(literal 4 binary64))
accuracy19.39105617945514
#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)))
accuracy34.65668624411777
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))
accuracy0
(*.f64 b #s(literal 4 binary64))
accuracy0.03515625
(fma.f64 (*.f64 b (*.f64 b b)) b (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
accuracy0.07421875
(*.f64 b (*.f64 b b))
accuracy19.39105617945514
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b (*.f64 b b)) b (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))))
Samples
88.0ms256×0valid
Compiler

Compiled 330 to 42 computations (87.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 73.0ms
ival-mult: 52.0ms (71.7% of total)
ival-add: 12.0ms (16.5% of total)
ival-div: 3.0ms (4.1% of total)
ival-sub: 2.0ms (2.8% of total)
ival-pow2: 2.0ms (2.8% of total)
exact: 1.0ms (1.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series52.0ms (0.5%)

Memory
-14.9MiB live, 22.5MiB allocated
Counts
18 → 276
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 b (*.f64 b b)) b (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))) (patch (fma.f64 (*.f64 b (*.f64 b b)) b (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b (*.f64 b b)) b (fma.f64 b (*.f64 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 (*.f64 b b)) b (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())
#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 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) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 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 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* b b) 4) #s(literal 4 binary64)) (patch #s(approx (+ (* b b) 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 (fma.f64 b b #s(literal 4 binary64))) 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 (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64)) (patch (fma.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (patch (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #<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 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -4 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -4 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -4 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)))) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -4 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)))) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -4 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)))) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -4 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 b #s(literal 4 binary64)) (patch (*.f64 b #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 b b #s(literal -4 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64))) (patch (/.f64 (fma.f64 b b #s(literal -4 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64))) #<representation binary64>) () ())
Outputs
#s(alt -1 (taylor 0 b) (#s(alt (fma.f64 (*.f64 b (*.f64 b b)) b (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))) (patch (fma.f64 (*.f64 b (*.f64 b b)) b (fma.f64 b (*.f64 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 (*.f64 b b)) b (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))) (patch (fma.f64 (*.f64 b (*.f64 b b)) b (fma.f64 b (*.f64 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 (*.f64 b b)) b (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))) (patch (fma.f64 (*.f64 b (*.f64 b b)) b (fma.f64 b (*.f64 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 (*.f64 b b)) b (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))) (patch (fma.f64 (*.f64 b (*.f64 b b)) b (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow b 4) (taylor inf b) (#s(alt (fma.f64 (*.f64 b (*.f64 b b)) b (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))) (patch (fma.f64 (*.f64 b (*.f64 b b)) b (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) (taylor inf b) (#s(alt (fma.f64 (*.f64 b (*.f64 b b)) b (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))) (patch (fma.f64 (*.f64 b (*.f64 b b)) b (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) (taylor inf b) (#s(alt (fma.f64 (*.f64 b (*.f64 b b)) b (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))) (patch (fma.f64 (*.f64 b (*.f64 b b)) b (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) (taylor inf b) (#s(alt (fma.f64 (*.f64 b (*.f64 b b)) b (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))) (patch (fma.f64 (*.f64 b (*.f64 b b)) b (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow b 4) (taylor -inf b) (#s(alt (fma.f64 (*.f64 b (*.f64 b b)) b (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))) (patch (fma.f64 (*.f64 b (*.f64 b b)) b (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) (taylor -inf b) (#s(alt (fma.f64 (*.f64 b (*.f64 b b)) b (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))) (patch (fma.f64 (*.f64 b (*.f64 b b)) b (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) (taylor -inf b) (#s(alt (fma.f64 (*.f64 b (*.f64 b b)) b (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))) (patch (fma.f64 (*.f64 b (*.f64 b b)) b (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
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Calls

69 calls:

TimeVariablePointExpression
2.0ms
b
@-inf
(* b 4)
0.0ms
b
@inf
(+ (* (* b b) (/ 1 (/ (+ (* b b) -4) (+ (* (* b b) (* b b)) -16)))) -1)
0.0ms
b
@0
(/ 1 (/ (+ (* b b) -4) (+ (* (* b b) (* b b)) -16)))
0.0ms
b
@inf
(/ 1 (/ (+ (* b b) -4) (+ (* (* b b) (* b b)) -16)))
0.0ms
b
@inf
(* b 4)

simplify494.0ms (5%)

Memory
5.7MiB live, 316.4MiB allocated
Algorithm
egg-herbie
Rules
31 364×lower-fma.f64
31 364×lower-fma.f32
5 448×lower-*.f64
5 448×lower-*.f32
4 076×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01564138
14744048
213873838
354453718
089693326
Stop Event
iter limit
node limit
Counts
276 → 276
Calls
Call 1
Inputs
-1
(- (* 4 (pow b 2)) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(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 (* 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))))
(- (+ (* 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) (+ 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 (* -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))))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 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 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(- (+ (* 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) (+ 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 (* -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))))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 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))))
-1
(- (* 4 (pow b 2)) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(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 (* 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))))
(- (+ (* 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) (+ 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 (* -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))))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 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))))
-1
(- (* 4 (pow b 2)) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(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 (* 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))))
4
(+ 4 (pow b 2))
(+ 4 (pow b 2))
(+ 4 (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 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)))))
(- (+ (* 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) (+ 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 (* -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))))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 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))))
-1
(- (* 4 (pow b 2)) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(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 (* 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))))
(* 4 b)
(* b (+ 4 (pow b 2)))
(* b (+ 4 (pow b 2)))
(* b (+ 4 (pow b 2)))
(pow b 3)
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(pow b 3)
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
4
(+ 4 (pow b 2))
(+ 4 (pow b 2))
(+ 4 (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 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)))))
4
(+ 4 (pow b 2))
(+ 4 (pow b 2))
(+ 4 (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 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)))))
(- (+ (* 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) (+ 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 (* -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))))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 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))))
-1
(- (* 4 (pow b 2)) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(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 (* 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))))
(* 4 b)
(* 4 b)
(* 4 b)
(* 4 b)
(* 4 b)
(* 4 b)
(* 4 b)
(* 4 b)
(* 4 b)
(* 4 b)
(* 4 b)
(* 4 b)
1/4
(+ 1/4 (* -1/16 (pow b 2)))
(+ 1/4 (* (pow b 2) (- (* 1/64 (pow b 2)) 1/16)))
(+ 1/4 (* (pow b 2) (- (* (pow b 2) (+ 1/64 (* -1/256 (pow b 2)))) 1/16)))
(/ 1 (pow b 2))
(/ (- 1 (* 4 (/ 1 (pow b 2)))) (pow b 2))
(/ (- (+ 1 (/ 16 (pow b 4))) (* 4 (/ 1 (pow b 2)))) (pow b 2))
(/ (- (+ 1 (/ 16 (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (* 64 (/ 1 (pow b 6))))) (pow b 2))
(/ 1 (pow b 2))
(/ (- 1 (* 4 (/ 1 (pow b 2)))) (pow b 2))
(/ (- (+ 1 (/ 16 (pow b 4))) (* 4 (/ 1 (pow b 2)))) (pow b 2))
(/ (- (+ 1 (/ 16 (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (* 64 (/ 1 (pow b 6))))) (pow b 2))
Outputs
-1
#s(literal -1 binary64)
(- (* 4 (pow b 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (fma.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 a (fma.f64 a a a)) (fma.f64 (*.f64 b b) (fma.f64 b b (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 2 binary64) a))))) #s(literal -1 binary64)))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(*.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b (/.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 1 binary64))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
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(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 a (fma.f64 a a a)) (fma.f64 (*.f64 b b) (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 2 binary64) a)))) (pow.f64 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))) 1)
(+.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a (fma.f64 a a a)) (pow.f64 a #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 b b (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 2 binary64) 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)
(+.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a (fma.f64 a a a)) (pow.f64 a #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 b b (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 2 binary64) a))))) #s(literal -1 binary64)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(*.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))
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(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (+.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b b))) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (*.f64 b b))) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(*.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (+.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b b))) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (*.f64 b b))) #s(literal 1 binary64))) #s(literal -1 binary64))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (+.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b b))) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (*.f64 b b))) #s(literal 1 binary64))) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* 4 (pow b 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
4
#s(literal 4 binary64)
(+ 4 (pow b 2))
(fma.f64 b b #s(literal 4 binary64))
(+ 4 (pow b 2))
(fma.f64 b b #s(literal 4 binary64))
(+ 4 (pow b 2))
(fma.f64 b b #s(literal 4 binary64))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 4 binary64))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 4 binary64))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 4 binary64))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 4 binary64))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 4 binary64))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 4 binary64))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (fma.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 a (fma.f64 a a a)) (fma.f64 (*.f64 b b) (fma.f64 b b (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 2 binary64) a))))) #s(literal -1 binary64)))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(*.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b (/.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 1 binary64))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(*.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 1 binary64))))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64)) a)) a)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(fma.f64 a (*.f64 (fma.f64 a a a) #s(literal 4 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 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))) 1)
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 a (fma.f64 a a a)) (fma.f64 (*.f64 b b) (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 2 binary64) a)))) (pow.f64 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))) 1)
(+.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a (fma.f64 a a a)) (pow.f64 a #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 b b (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 2 binary64) 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)
(+.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a (fma.f64 a a a)) (pow.f64 a #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 b b (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 2 binary64) a))))) #s(literal -1 binary64)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(*.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (+.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b b))) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (*.f64 b b))) #s(literal 1 binary64))) #s(literal -1 binary64))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (+.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b b))) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (*.f64 b b))) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(*.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (+.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b b))) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (*.f64 b b))) #s(literal 1 binary64))) #s(literal -1 binary64))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (+.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b b))) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (*.f64 b b))) #s(literal 1 binary64))) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* 4 (pow b 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(* 4 b)
(*.f64 #s(literal 4 binary64) b)
(* b (+ 4 (pow b 2)))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(* b (+ 4 (pow b 2)))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(* b (+ 4 (pow b 2)))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(pow b 3)
(*.f64 b (*.f64 b b))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(pow b 3)
(*.f64 b (*.f64 b b))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
4
#s(literal 4 binary64)
(+ 4 (pow b 2))
(fma.f64 b b #s(literal 4 binary64))
(+ 4 (pow b 2))
(fma.f64 b b #s(literal 4 binary64))
(+ 4 (pow b 2))
(fma.f64 b b #s(literal 4 binary64))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 4 binary64))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 4 binary64))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 4 binary64))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 4 binary64))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 4 binary64))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 4 binary64))
4
#s(literal 4 binary64)
(+ 4 (pow b 2))
(fma.f64 b b #s(literal 4 binary64))
(+ 4 (pow b 2))
(fma.f64 b b #s(literal 4 binary64))
(+ 4 (pow b 2))
(fma.f64 b b #s(literal 4 binary64))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 4 binary64))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 4 binary64))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 4 binary64))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 4 binary64))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 4 binary64))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 4 binary64))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (fma.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 a (fma.f64 a a a)) (fma.f64 (*.f64 b b) (fma.f64 b b (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 2 binary64) a))))) #s(literal -1 binary64)))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(*.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b (/.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 1 binary64))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(*.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 1 binary64))))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64)) a)) a)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(fma.f64 a (*.f64 (fma.f64 a a a) #s(literal 4 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 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))) 1)
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 a (fma.f64 a a a)) (fma.f64 (*.f64 b b) (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 2 binary64) a)))) (pow.f64 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))) 1)
(+.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a (fma.f64 a a a)) (pow.f64 a #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 b b (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 2 binary64) 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)
(+.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a (fma.f64 a a a)) (pow.f64 a #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 b b (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 2 binary64) a))))) #s(literal -1 binary64)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(*.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (+.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b b))) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (*.f64 b b))) #s(literal 1 binary64))) #s(literal -1 binary64))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (+.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b b))) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (*.f64 b b))) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(*.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (+.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b b))) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (*.f64 b b))) #s(literal 1 binary64))) #s(literal -1 binary64))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (+.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b b))) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (*.f64 b b))) #s(literal 1 binary64))) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* 4 (pow b 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(* 4 b)
(*.f64 #s(literal 4 binary64) b)
(* 4 b)
(*.f64 #s(literal 4 binary64) b)
(* 4 b)
(*.f64 #s(literal 4 binary64) b)
(* 4 b)
(*.f64 #s(literal 4 binary64) b)
(* 4 b)
(*.f64 #s(literal 4 binary64) b)
(* 4 b)
(*.f64 #s(literal 4 binary64) b)
(* 4 b)
(*.f64 #s(literal 4 binary64) b)
(* 4 b)
(*.f64 #s(literal 4 binary64) b)
(* 4 b)
(*.f64 #s(literal 4 binary64) b)
(* 4 b)
(*.f64 #s(literal 4 binary64) b)
(* 4 b)
(*.f64 #s(literal 4 binary64) b)
(* 4 b)
(*.f64 #s(literal 4 binary64) b)
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -1/16 (pow b 2)))
(fma.f64 b (*.f64 b #s(literal -1/16 binary64)) #s(literal 1/4 binary64))
(+ 1/4 (* (pow b 2) (- (* 1/64 (pow b 2)) 1/16)))
(fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/64 binary64)) #s(literal -1/16 binary64))) #s(literal 1/4 binary64))
(+ 1/4 (* (pow b 2) (- (* (pow b 2) (+ 1/64 (* -1/256 (pow b 2)))) 1/16)))
(fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal -1/256 binary64)) #s(literal 1/64 binary64)) #s(literal -1/16 binary64))) #s(literal 1/4 binary64))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ (- 1 (* 4 (/ 1 (pow b 2)))) (pow b 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 b b))) (*.f64 b b))
(/ (- (+ 1 (/ 16 (pow b 4))) (* 4 (/ 1 (pow b 2)))) (pow b 2))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 b b))) (/.f64 #s(literal 16 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b))
(/ (- (+ 1 (/ 16 (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (* 64 (/ 1 (pow b 6))))) (pow b 2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 b b)) (/.f64 #s(literal -64 binary64) (pow.f64 b #s(literal 6 binary64)))))) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ (- 1 (* 4 (/ 1 (pow b 2)))) (pow b 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 b b))) (*.f64 b b))
(/ (- (+ 1 (/ 16 (pow b 4))) (* 4 (/ 1 (pow b 2)))) (pow b 2))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 b b))) (/.f64 #s(literal 16 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b))
(/ (- (+ 1 (/ 16 (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (* 64 (/ 1 (pow b 6))))) (pow b 2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 b b)) (/.f64 #s(literal -64 binary64) (pow.f64 b #s(literal 6 binary64)))))) (*.f64 b b))

rewrite317.0ms (3.2%)

Memory
32.7MiB live, 219.0MiB allocated
Rules
4 254×lower-*.f32
4 246×lower-*.f64
4 008×lower-/.f32
4 004×lower-/.f64
3 632×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046345
070299
1344293
22657293
08554263
Stop Event
iter limit
node limit
iter limit
Counts
18 → 533
Calls
Call 1
Inputs
(fma.f64 (*.f64 b (*.f64 b b)) b (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b (*.f64 b b)) b (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))))
(*.f64 b (*.f64 b b))
(*.f64 b b)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))
#s(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)))
(fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))
#s(approx (+ (* b b) 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 (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64)))
(fma.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(fma.f64 b b #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -4 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -4 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)))) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -4 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)))) #s(literal -1 binary64))
(*.f64 b #s(literal 4 binary64))
(/.f64 (fma.f64 b b #s(literal -4 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)))
Outputs
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))))
(+.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))
(+.f64 (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))
(+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))
(+.f64 (+.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 b b) #s(literal 4 binary64)))
(+.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -1 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))) (/.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))))
(-.f64 (/.f64 (*.f64 b (*.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))))) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))))) (/.f64 (*.f64 b (*.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))))) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))))))
(-.f64 (/.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))) (-.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))) (-.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))))
(fma.f64 b (*.f64 b (*.f64 b b)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))
(fma.f64 b (*.f64 b #s(literal 4 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (+.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (pow.f64 (*.f64 b #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))
(fma.f64 (*.f64 b (*.f64 b b)) b (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 b b) (+.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))
(fma.f64 (*.f64 b #s(literal 4 binary64)) b (+.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))
(fma.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 1 binary64) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))
(fma.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 64 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 16 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 b b) #s(literal -4 binary64)))) (*.f64 b (*.f64 b (*.f64 b b))))
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
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(/.f64 (neg.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) #s(literal -64 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) (-.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal 16 binary64)) (*.f64 (*.f64 b b) #s(literal -4 binary64))))))
(/.f64 (*.f64 (fma.f64 b b #s(literal -4 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)))) (-.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal 16 binary64)) (*.f64 (*.f64 b b) #s(literal -4 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)))) (fma.f64 b b #s(literal 4 binary64)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 b b #s(literal -4 binary64))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) #s(literal -64 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal 16 binary64)) (*.f64 (*.f64 b b) #s(literal -4 binary64))) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 b b #s(literal -4 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64))))) (neg.f64 (-.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal 16 binary64)) (*.f64 (*.f64 b b) #s(literal -4 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64))))) (neg.f64 (fma.f64 b b #s(literal 4 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 4 binary64))) #s(literal 1 binary64))
(pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 4 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 4 binary64))))
(*.f64 (fma.f64 b b #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64))))
(*.f64 (fma.f64 b b #s(literal -4 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 4 binary64))) #s(literal 1 binary64))
(*.f64 (neg.f64 (fma.f64 b b #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64))) (fma.f64 b b #s(literal -4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 b b #s(literal -4 binary64)) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))) #s(literal -4096 binary64))) (-.f64 (fma.f64 b (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 256 binary64)) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) #s(literal -16 binary64)))))
(*.f64 (/.f64 (fma.f64 b b #s(literal -4 binary64)) (fma.f64 (*.f64 b b) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) #s(literal -256 binary64))) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal 16 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 64 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal 16 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 b b #s(literal -4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) #s(literal -64 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal 16 binary64)) (*.f64 (*.f64 b b) #s(literal -4 binary64)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 4 binary64))))

eval262.0ms (2.6%)

Memory
-18.2MiB live, 151.8MiB allocated
Compiler

Compiled 23 354 to 1 297 computations (94.4% saved)

prune153.0ms (1.5%)

Memory
17.6MiB live, 137.1MiB allocated
Pruning

14 alts after pruning (8 fresh and 6 done)

PrunedKeptTotal
New8992901
Fresh066
Picked145
Done022
Total90014914
Accuracy
100.0%
Counts
914 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b #s(literal 4 binary64) (*.f64 b (*.f64 b b))) b #s(literal -1 binary64)))
67.4%
#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)))
69.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64)))
43.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -4 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 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) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
45.1%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))))) #s(literal -1 binary64)))
46.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
48.3%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64)))
46.0%
#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)))
48.3%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 b b) (*.f64 b b)))
48.3%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))
46.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
48.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b (+ (* b b) 4)) b) -1) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))))
22.2%
#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 282 to 146 computations (48.2% saved)

simplify225.0ms (2.3%)

Memory
8.3MiB live, 354.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64)))
cost-diff5504
(pow.f64 b #s(literal 4 binary64))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))))) #s(literal -1 binary64)))
cost-diff320
(-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))))))
cost-diff1472
(/.f64 (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))))
cost-diff0
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
cost-diff0
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))
cost-diff0
#s(approx (+ (* (* b (+ (* b b) 4)) b) -1) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b (+ (* b b) 4)) b) -1) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))))
cost-diff0
#s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64))
cost-diff0
(*.f64 a a)
cost-diff0
(fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
cost-diff0
(*.f64 b (*.f64 b b))
cost-diff0
(fma.f64 (fma.f64 b #s(literal 4 binary64) (*.f64 b (*.f64 b 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 (fma.f64 b #s(literal 4 binary64) (*.f64 b (*.f64 b b))) b #s(literal -1 binary64)))
cost-diff320
(fma.f64 b #s(literal 4 binary64) (*.f64 b (*.f64 b b)))
Rules
12 834×lower-fma.f32
12 820×lower-fma.f64
3 180×lower-+.f32
3 178×lower-+.f64
3 064×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052468
077432
1159422
2383376
31626374
43761374
08130347
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b #s(literal 4 binary64) (*.f64 b (*.f64 b b))) b #s(literal -1 binary64)))
(fma.f64 (fma.f64 b #s(literal 4 binary64) (*.f64 b (*.f64 b b))) b #s(literal -1 binary64))
(fma.f64 b #s(literal 4 binary64) (*.f64 b (*.f64 b b)))
b
#s(literal 4 binary64)
(*.f64 b (*.f64 b b))
(*.f64 b b)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 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) #s(approx (+ (* (* b (+ (* b b) 4)) b) -1) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))))
#s(approx (+ (* (* b (+ (* b b) 4)) b) -1) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))))
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))
b
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(fma.f64 b b #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))))) #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))))) #s(literal -1 binary64))
(*.f64 a a)
a
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))))))
#s(literal 1 binary64)
(/.f64 (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))))
(-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))))
(fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))
(+.f64 a #s(literal 4 binary64))
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64)))
(pow.f64 b #s(literal 4 binary64))
b
#s(literal 4 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 b #s(literal 4 binary64) (*.f64 b (*.f64 b b))) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b #s(literal 4 binary64) (*.f64 b (*.f64 b 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 b #s(literal 4 binary64) (*.f64 b (*.f64 b b)))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
b
#s(literal 4 binary64)
(*.f64 b (*.f64 b b))
(*.f64 b b)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 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 a (*.f64 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))
(fma.f64 a (*.f64 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) #s(approx (+ (* (* b (+ (* b b) 4)) b) -1) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b (+ (* b b) 4)) b) -1) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))))
#s(approx (+ (* (* b (+ (* b b) 4)) b) -1) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))))
#s(approx (+ (* (* b (+ (* b b) 4)) b) -1) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))))
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))
b
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(fma.f64 b b #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.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 (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 a a)
a
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))))))
(fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))
#s(literal 1 binary64)
(/.f64 (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))
(-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
(fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))))
(*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal -4 binary64)) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))
(fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))
(+.f64 a #s(literal 4 binary64))
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))
(pow.f64 b #s(literal 4 binary64))
(*.f64 b (*.f64 b (*.f64 b b)))
b
#s(literal 4 binary64)

localize121.0ms (1.2%)

Memory
-17.0MiB live, 197.1MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(pow.f64 b #s(literal 4 binary64))
accuracy33.08303201521016
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64)))
accuracy0.046875
(*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))))
accuracy0.0859375
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))))))
accuracy20.84989141062322
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))))) #s(literal -1 binary64)))
accuracy23.593560422974832
(/.f64 (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))))
accuracy0.03125
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
accuracy0.03515625
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))
accuracy19.39105617945514
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b (+ (* b b) 4)) b) -1) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))))
accuracy28.56859849378567
#s(approx (+ (* (* b (+ (* b b) 4)) b) -1) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))))
accuracy0
(*.f64 a a)
accuracy0.03515625
(fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))
accuracy20.84989141062322
#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)))
accuracy31.523211270902046
#s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64))
accuracy0
(*.f64 b b)
accuracy0.03515625
(fma.f64 (fma.f64 b #s(literal 4 binary64) (*.f64 b (*.f64 b b))) b #s(literal -1 binary64))
accuracy0.07421875
(*.f64 b (*.f64 b b))
accuracy19.39105617945514
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b #s(literal 4 binary64) (*.f64 b (*.f64 b b))) b #s(literal -1 binary64)))
Samples
79.0ms256×0valid
Compiler

Compiled 398 to 46 computations (88.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-mult: 24.0ms (43.7% of total)
ival-add: 19.0ms (34.6% of total)
ival-div: 3.0ms (5.5% of total)
ival-sub: 3.0ms (5.5% of total)
ival-pow: 3.0ms (5.5% of total)
ival-pow2: 2.0ms (3.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series26.0ms (0.3%)

Memory
-18.7MiB live, 19.7MiB allocated
Counts
20 → 300
Calls
Call 1
Inputs
#s(alt (fma.f64 b #s(literal 4 binary64) (*.f64 b (*.f64 b b))) (patch (fma.f64 b #s(literal 4 binary64) (*.f64 b (*.f64 b b))) #<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 (fma.f64 b #s(literal 4 binary64) (*.f64 b (*.f64 b 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 (fma.f64 b #s(literal 4 binary64) (*.f64 b (*.f64 b b))) b #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 b #s(literal 4 binary64) (*.f64 b (*.f64 b b))) b #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 b #s(literal 4 binary64) (*.f64 b (*.f64 b b))) b #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<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) #s(approx (+ (* (* b (+ (* b b) 4)) b) -1) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b (+ (* b b) 4)) b) -1) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* b (+ (* b b) 4)) b) -1) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))) (patch #s(approx (+ (* (* b (+ (* b b) 4)) b) -1) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))) (patch (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (patch (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))))) (patch (/.f64 (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (patch (-.f64 (*.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) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.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) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))))) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 b #s(literal 4 binary64)) (patch (pow.f64 b #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) (patch (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) #<representation binary64>) () ())
Outputs
#s(alt (* 4 b) (taylor 0 b) (#s(alt (fma.f64 b #s(literal 4 binary64) (*.f64 b (*.f64 b b))) (patch (fma.f64 b #s(literal 4 binary64) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* b (+ 4 (pow b 2))) (taylor 0 b) (#s(alt (fma.f64 b #s(literal 4 binary64) (*.f64 b (*.f64 b b))) (patch (fma.f64 b #s(literal 4 binary64) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* b (+ 4 (pow b 2))) (taylor 0 b) (#s(alt (fma.f64 b #s(literal 4 binary64) (*.f64 b (*.f64 b b))) (patch (fma.f64 b #s(literal 4 binary64) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* b (+ 4 (pow b 2))) (taylor 0 b) (#s(alt (fma.f64 b #s(literal 4 binary64) (*.f64 b (*.f64 b b))) (patch (fma.f64 b #s(literal 4 binary64) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor inf b) (#s(alt (fma.f64 b #s(literal 4 binary64) (*.f64 b (*.f64 b b))) (patch (fma.f64 b #s(literal 4 binary64) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2))))) (taylor inf b) (#s(alt (fma.f64 b #s(literal 4 binary64) (*.f64 b (*.f64 b b))) (patch (fma.f64 b #s(literal 4 binary64) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2))))) (taylor inf b) (#s(alt (fma.f64 b #s(literal 4 binary64) (*.f64 b (*.f64 b b))) (patch (fma.f64 b #s(literal 4 binary64) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2))))) (taylor inf b) (#s(alt (fma.f64 b #s(literal 4 binary64) (*.f64 b (*.f64 b b))) (patch (fma.f64 b #s(literal 4 binary64) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor -inf b) (#s(alt (fma.f64 b #s(literal 4 binary64) (*.f64 b (*.f64 b b))) (patch (fma.f64 b #s(literal 4 binary64) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2))))) (taylor -inf b) (#s(alt (fma.f64 b #s(literal 4 binary64) (*.f64 b (*.f64 b b))) (patch (fma.f64 b #s(literal 4 binary64) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2))))) (taylor -inf b) (#s(alt (fma.f64 b #s(literal 4 binary64) (*.f64 b (*.f64 b b))) (patch (fma.f64 b #s(literal 4 binary64) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2))))) (taylor -inf b) (#s(alt (fma.f64 b #s(literal 4 binary64) (*.f64 b (*.f64 b b))) (patch (fma.f64 b #s(literal 4 binary64) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (pow b 2)) (pow b 4)) 1) (taylor 0 a) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b #s(literal 4 binary64) (*.f64 b (*.f64 b 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 (fma.f64 b #s(literal 4 binary64) (*.f64 b (*.f64 b b))) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) (taylor 0 a) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b #s(literal 4 binary64) (*.f64 b (*.f64 b 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 (fma.f64 b #s(literal 4 binary64) (*.f64 b (*.f64 b b))) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) (taylor 0 a) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b #s(literal 4 binary64) (*.f64 b (*.f64 b 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 (fma.f64 b #s(literal 4 binary64) (*.f64 b (*.f64 b b))) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
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#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) (pow.f64 b #s(literal 4 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64))) #<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) (pow.f64 b #s(literal 4 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) (taylor inf a) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (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))))))) (taylor inf a) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64))) #<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) (pow.f64 b #s(literal 4 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64))) #<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) (pow.f64 b #s(literal 4 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64))) #<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) (pow.f64 b #s(literal 4 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64))) #<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) (pow.f64 b #s(literal 4 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64))) #<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) (pow.f64 b #s(literal 4 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64))) #<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) (pow.f64 b #s(literal 4 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64))) #<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) (pow.f64 b #s(literal 4 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64))) #<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) (pow.f64 b #s(literal 4 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow b 4) (taylor inf b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2)))))) (taylor inf b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow 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)))) (taylor inf b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow 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)))) (taylor inf b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow b 4) (taylor -inf b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2)))))) (taylor -inf b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow 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)))) (taylor -inf b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow 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)))) (taylor -inf b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor inf b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor inf b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor inf b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor inf b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor -inf b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor -inf b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor -inf b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor -inf b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ())
#s(alt -16 (taylor 0 a) (#s(alt (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) (patch (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* -32 a) 16) (taylor 0 a) (#s(alt (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) (patch (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* a (- (* -16 a) 32)) 16) (taylor 0 a) (#s(alt (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) (patch (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* a (- (* a (- (pow a 2) 16)) 32)) 16) (taylor 0 a) (#s(alt (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) (patch (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor inf a) (#s(alt (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) (patch (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (- 1 (* 16 (/ 1 (pow a 2))))) (taylor inf a) (#s(alt (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) (patch (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* -1 (/ (+ 16 (* 32 (/ 1 a))) (pow a 2))))) (taylor inf a) (#s(alt (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) (patch (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (- (+ 1 (* -1 (/ (+ 32 (* 16 (/ 1 a))) (pow a 3)))) (* 16 (/ 1 (pow a 2))))) (taylor inf a) (#s(alt (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) (patch (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor -inf a) (#s(alt (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) (patch (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (- 1 (* 16 (/ 1 (pow a 2))))) (taylor -inf a) (#s(alt (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) (patch (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* -1 (/ (+ 16 (* 32 (/ 1 a))) (pow a 2))))) (taylor -inf a) (#s(alt (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) (patch (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (- (+ 1 (* -1 (/ (+ 32 (* 16 (/ 1 a))) (pow a 3)))) (* 16 (/ 1 (pow a 2))))) (taylor -inf a) (#s(alt (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) (patch (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
Calls

75 calls:

TimeVariablePointExpression
0.0ms
a
@-inf
(/ (- (* a a) (+ (* 4 a) 4)) (* (+ (* a (+ a 4)) 4) (- (* a a) (+ (* 4 a) 4))))
0.0ms
a
@0
(/ (- (* a a) (+ (* 4 a) 4)) (* (+ (* a (+ a 4)) 4) (- (* a a) (+ (* 4 a) 4))))
0.0ms
a
@inf
(/ (- (* a a) (+ (* 4 a) 4)) (* (+ (* a (+ a 4)) 4) (- (* a a) (+ (* 4 a) 4))))
0.0ms
b
@inf
(+ (* (+ (* b 4) (* b (* b b))) b) -1)
0.0ms
b
@inf
(+ (* b 4) (* b (* b b)))

simplify276.0ms (2.8%)

Memory
32.6MiB live, 343.2MiB allocated
Algorithm
egg-herbie
Rules
19 764×lower-fma.f64
19 764×lower-fma.f32
4 660×lower-*.f64
4 660×lower-*.f32
3 652×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02344374
17074273
220004034
365993892
083373494
Stop Event
iter limit
node limit
Counts
300 → 300
Calls
Call 1
Inputs
(* 4 b)
(* b (+ 4 (pow b 2)))
(* b (+ 4 (pow b 2)))
(* b (+ 4 (pow b 2)))
(pow b 3)
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(pow b 3)
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(pow 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 (* -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))))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 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))))
-1
(- (* 4 (pow b 2)) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(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 (* 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 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(- (+ (* 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) (+ 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 (* -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))))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 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))))
-1
(- (* 4 (pow a 2)) 1)
(- (* (pow a 2) (+ 4 (* 4 a))) 1)
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)
(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 (+ (* 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)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
4
(+ 4 (* 4 a))
(+ 4 (* a (+ 4 a)))
(+ 4 (* a (+ 4 a)))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(- (+ (* 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) (+ 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 (* -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))))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 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))))
-1
(- (* 4 (pow b 2)) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(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 (* 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))))
(* 4 (pow b 2))
(* (pow b 2) (+ 4 (pow b 2)))
(* (pow b 2) (+ 4 (pow b 2)))
(* (pow b 2) (+ 4 (pow b 2)))
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* 4 b)
(* b (+ 4 (pow b 2)))
(* b (+ 4 (pow b 2)))
(* b (+ 4 (pow b 2)))
(pow b 3)
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(pow b 3)
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
1/4
(+ 1/4 (* -1/4 a))
(+ 1/4 (* a (- (* 3/16 a) 1/4)))
(+ 1/4 (* a (- (* a (+ 3/16 (* -1/8 a))) 1/4)))
(/ 1 (pow a 2))
(/ (- 1 (* 4 (/ 1 a))) (pow a 2))
(/ (- (+ 1 (/ 12 (pow a 2))) (* 4 (/ 1 a))) (pow a 2))
(/ (- (+ 1 (/ 12 (pow a 2))) (+ (* 4 (/ 1 a)) (* 32 (/ 1 (pow a 3))))) (pow a 2))
(/ 1 (pow a 2))
(/ (- 1 (* 4 (/ 1 a))) (pow a 2))
(/ (+ 1 (* -1 (/ (- 4 (* 12 (/ 1 a))) a))) (pow a 2))
(/ (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 12 (* 32 (/ 1 a))) a))) a))) (pow a 2))
4
(+ 4 (* 4 a))
(+ 4 (* a (+ 4 a)))
(+ 4 (* a (+ 4 a)))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
-4
(- (* -4 a) 4)
(- (* a (- a 4)) 4)
(- (* a (- a 4)) 4)
(pow a 2)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))))
(pow a 2)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))))
(- (+ (* 4 (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) (+ 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 (* -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))))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 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)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(- (+ (* 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) (+ 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 (* -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))))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 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)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
-16
(- (* -32 a) 16)
(- (* a (- (* -16 a) 32)) 16)
(- (* a (- (* a (- (pow a 2) 16)) 32)) 16)
(pow a 4)
(* (pow a 4) (- 1 (* 16 (/ 1 (pow a 2)))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 16 (* 32 (/ 1 a))) (pow a 2)))))
(* (pow a 4) (- (+ 1 (* -1 (/ (+ 32 (* 16 (/ 1 a))) (pow a 3)))) (* 16 (/ 1 (pow a 2)))))
(pow a 4)
(* (pow a 4) (- 1 (* 16 (/ 1 (pow a 2)))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 16 (* 32 (/ 1 a))) (pow a 2)))))
(* (pow a 4) (- (+ 1 (* -1 (/ (+ 32 (* 16 (/ 1 a))) (pow a 3)))) (* 16 (/ 1 (pow a 2)))))
Outputs
(* 4 b)
(*.f64 #s(literal 4 binary64) b)
(* b (+ 4 (pow b 2)))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(* b (+ 4 (pow b 2)))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(* b (+ 4 (pow b 2)))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(pow b 3)
(*.f64 b (*.f64 b b))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(pow b 3)
(*.f64 b (*.f64 b b))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 a (fma.f64 a a a)) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) (/.f64 #s(literal 4 binary64) (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) (/.f64 #s(literal 4 binary64) (*.f64 a a))) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 (/.f64 #s(literal -12 binary64) a) #s(literal 2 binary64)) #s(literal 1 binary64))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal -12 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(fma.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) (*.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b)) (fma.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b))))))) #s(literal -1 binary64))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b)) (fma.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b))))))) #s(literal -1 binary64))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) (*.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b)) (fma.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b))))))) #s(literal -1 binary64))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b)) (fma.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b))))))) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* 4 (pow b 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 a (fma.f64 a a a)) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) (/.f64 #s(literal 4 binary64) (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) (/.f64 #s(literal 4 binary64) (*.f64 a a))) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 (/.f64 #s(literal -12 binary64) a) #s(literal 2 binary64)) #s(literal 1 binary64))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal -12 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(fma.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) (*.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b)) (fma.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b))))))) #s(literal -1 binary64))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b)) (fma.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b))))))) #s(literal -1 binary64))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) (*.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b)) (fma.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b))))))) #s(literal -1 binary64))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b)) (fma.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b))))))) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* 4 (pow a 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(- (* (pow a 2) (+ 4 (* 4 a))) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 a (fma.f64 a a a)) #s(literal -1 binary64))
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) a) (/.f64 #s(literal 4 binary64) (*.f64 a a)))))
(* (pow a 4) (- (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))) (/ 1 (pow a 4))))
(fma.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) a) (/.f64 #s(literal 4 binary64) (*.f64 a a)))) #s(literal -1 binary64))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) a) (/.f64 #s(literal 4 binary64) (*.f64 a a)))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4) a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a a))) a)) a)))
(pow 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 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
4
#s(literal 4 binary64)
(+ 4 (* 4 a))
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
(+ 4 (* a (+ 4 a)))
(fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))
(+ 4 (* a (+ 4 a)))
(fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 4 binary64) a))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 4 binary64) a))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 a (fma.f64 a a a)) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) (/.f64 #s(literal 4 binary64) (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) (/.f64 #s(literal 4 binary64) (*.f64 a a))) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 (/.f64 #s(literal -12 binary64) a) #s(literal 2 binary64)) #s(literal 1 binary64))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal -12 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(fma.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) (*.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b)) (fma.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b))))))) #s(literal -1 binary64))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b)) (fma.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b))))))) #s(literal -1 binary64))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) (*.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b)) (fma.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b))))))) #s(literal -1 binary64))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b)) (fma.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b))))))) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* 4 (pow b 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(* 4 (pow b 2))
(*.f64 #s(literal 4 binary64) (*.f64 b b))
(* (pow b 2) (+ 4 (pow b 2)))
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))
(* (pow b 2) (+ 4 (pow b 2)))
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))
(* (pow b 2) (+ 4 (pow b 2)))
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))
(* 4 b)
(*.f64 #s(literal 4 binary64) b)
(* b (+ 4 (pow b 2)))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(* b (+ 4 (pow b 2)))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(* b (+ 4 (pow b 2)))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(pow b 3)
(*.f64 b (*.f64 b b))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(pow b 3)
(*.f64 b (*.f64 b b))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -1/4 a))
(fma.f64 a #s(literal -1/4 binary64) #s(literal 1/4 binary64))
(+ 1/4 (* a (- (* 3/16 a) 1/4)))
(fma.f64 a (fma.f64 a #s(literal 3/16 binary64) #s(literal -1/4 binary64)) #s(literal 1/4 binary64))
(+ 1/4 (* a (- (* a (+ 3/16 (* -1/8 a))) 1/4)))
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/8 binary64) #s(literal 3/16 binary64)) #s(literal -1/4 binary64)) #s(literal 1/4 binary64))
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(/ (- 1 (* 4 (/ 1 a))) (pow a 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)) (*.f64 a a))
(/ (- (+ 1 (/ 12 (pow a 2))) (* 4 (/ 1 a))) (pow a 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 12 binary64) a) #s(literal -4 binary64)) a)) (*.f64 a a))
(/ (- (+ 1 (/ 12 (pow a 2))) (+ (* 4 (/ 1 a)) (* 32 (/ 1 (pow a 3))))) (pow a 2))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 12 binary64) a) #s(literal -4 binary64)) a) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 32 binary64) (*.f64 a (*.f64 a a))))) (*.f64 a a))
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(/ (- 1 (* 4 (/ 1 a))) (pow a 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)) (*.f64 a a))
(/ (+ 1 (* -1 (/ (- 4 (* 12 (/ 1 a))) a))) (pow a 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 12 binary64) a) #s(literal -4 binary64)) a)) (*.f64 a a))
(/ (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 12 (* 32 (/ 1 a))) a))) a))) (pow a 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal -32 binary64) a)) a) #s(literal -4 binary64)) a)) (*.f64 a a))
4
#s(literal 4 binary64)
(+ 4 (* 4 a))
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
(+ 4 (* a (+ 4 a)))
(fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))
(+ 4 (* a (+ 4 a)))
(fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 4 binary64) a))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 4 binary64) a))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))
-4
#s(literal -4 binary64)
(- (* -4 a) 4)
(fma.f64 a #s(literal -4 binary64) #s(literal -4 binary64))
(- (* a (- a 4)) 4)
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))
(- (* a (- a 4)) 4)
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(*.f64 a (+.f64 a #s(literal -4 binary64)))
(* (pow a 2) (+ 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))))
(fma.f64 a a (*.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) a)) a))
(* (pow a 2) (+ 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))))
(fma.f64 a a (*.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) a)) a))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(*.f64 a (+.f64 a #s(literal -4 binary64)))
(* (pow a 2) (+ 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))))
(fma.f64 a a (*.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) a)) a))
(* (pow a 2) (+ 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))))
(fma.f64 a a (*.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) a)) a))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 a (fma.f64 a a a)) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) (/.f64 #s(literal 4 binary64) (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) (/.f64 #s(literal 4 binary64) (*.f64 a a))) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 (/.f64 #s(literal -12 binary64) a) #s(literal 2 binary64)) #s(literal 1 binary64))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal -12 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(fma.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) (*.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b)) (fma.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b))))))) #s(literal -1 binary64))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b)) (fma.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b))))))) #s(literal -1 binary64))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) (*.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b)) (fma.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b))))))) #s(literal -1 binary64))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b)) (fma.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b))))))) #s(literal -1 binary64))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 a (fma.f64 a a a)) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) (/.f64 #s(literal 4 binary64) (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) (/.f64 #s(literal 4 binary64) (*.f64 a a))) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 (/.f64 #s(literal -12 binary64) a) #s(literal 2 binary64)) #s(literal 1 binary64))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal -12 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(fma.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) (*.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b)) (fma.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b))))))) #s(literal -1 binary64))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b)) (fma.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b))))))) #s(literal -1 binary64))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) (*.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b)) (fma.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b))))))) #s(literal -1 binary64))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b)) (fma.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.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)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
-16
#s(literal -16 binary64)
(- (* -32 a) 16)
(fma.f64 a #s(literal -32 binary64) #s(literal -16 binary64))
(- (* a (- (* -16 a) 32)) 16)
(fma.f64 a (fma.f64 a #s(literal -16 binary64) #s(literal -32 binary64)) #s(literal -16 binary64))
(- (* a (- (* a (- (pow a 2) 16)) 32)) 16)
(fma.f64 a (fma.f64 a (fma.f64 a a #s(literal -16 binary64)) #s(literal -32 binary64)) #s(literal -16 binary64))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (- 1 (* 16 (/ 1 (pow a 2)))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -16 binary64) (*.f64 a a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 16 (* 32 (/ 1 a))) (pow a 2)))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -16 binary64) (/.f64 #s(literal -32 binary64) a)) (*.f64 a a))))
(* (pow a 4) (- (+ 1 (* -1 (/ (+ 32 (* 16 (/ 1 a))) (pow a 3)))) (* 16 (/ 1 (pow a 2)))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 a a)) (+.f64 (/.f64 (+.f64 #s(literal 32 binary64) (/.f64 #s(literal 16 binary64) a)) a) #s(literal 16 binary64)) #s(literal 1 binary64)))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (- 1 (* 16 (/ 1 (pow a 2)))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -16 binary64) (*.f64 a a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 16 (* 32 (/ 1 a))) (pow a 2)))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -16 binary64) (/.f64 #s(literal -32 binary64) a)) (*.f64 a a))))
(* (pow a 4) (- (+ 1 (* -1 (/ (+ 32 (* 16 (/ 1 a))) (pow a 3)))) (* 16 (/ 1 (pow a 2)))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 a a)) (+.f64 (/.f64 (+.f64 #s(literal 32 binary64) (/.f64 #s(literal 16 binary64) a)) a) #s(literal 16 binary64)) #s(literal 1 binary64)))

rewrite303.0ms (3.1%)

Memory
-35.4MiB live, 297.0MiB allocated
Rules
5 120×lower-*.f32
5 108×lower-*.f64
4 068×lower-fma.f32
4 054×lower-fma.f64
3 174×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052403
076366
1365325
22994325
08323294
Stop Event
iter limit
node limit
iter limit
Counts
20 → 451
Calls
Call 1
Inputs
(fma.f64 b #s(literal 4 binary64) (*.f64 b (*.f64 b b)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b #s(literal 4 binary64) (*.f64 b (*.f64 b b))) b #s(literal -1 binary64)))
(fma.f64 (fma.f64 b #s(literal 4 binary64) (*.f64 b (*.f64 b b))) b #s(literal -1 binary64))
(*.f64 b (*.f64 b b))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #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) #s(approx (+ (* (* b (+ (* b b) 4)) b) -1) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))))
#s(approx (+ (* (* b (+ (* b b) 4)) b) -1) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))))
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))))))
(-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))))) #s(literal -1 binary64)))
(pow.f64 b #s(literal 4 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64)))
(*.f64 b b)
(*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))))
Outputs
(+.f64 (*.f64 b (*.f64 b b)) (*.f64 b #s(literal 4 binary64)))
(+.f64 (*.f64 b #s(literal 4 binary64)) (*.f64 b (*.f64 b b)))
(-.f64 (/.f64 (*.f64 (*.f64 b b) #s(literal 16 binary64)) (*.f64 b (-.f64 #s(literal 4 binary64) (*.f64 b b)))) (/.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 b (-.f64 #s(literal 4 binary64) (*.f64 b b)))))
(fma.f64 b #s(literal 4 binary64) (*.f64 b (*.f64 b b)))
(fma.f64 b (*.f64 b b) (*.f64 b #s(literal 4 binary64)))
(fma.f64 #s(literal 4 binary64) b (*.f64 b (*.f64 b b)))
(fma.f64 (*.f64 b b) b (*.f64 b #s(literal 4 binary64)))
(fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)) (*.f64 b #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 b b) #s(literal 16 binary64))) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 64 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (-.f64 #s(literal 4 binary64) (*.f64 b b))) (*.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (*.f64 b (-.f64 #s(literal 4 binary64) (*.f64 b b))))))
(/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 64 binary64))) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 b b) #s(literal 16 binary64))))
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(/.f64 (*.f64 (fma.f64 (*.f64 (+.f64 a #s(literal 1 binary64)) (*.f64 (+.f64 a #s(literal 1 binary64)) (+.f64 a #s(literal 1 binary64)))) #s(literal 64 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (*.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal -4 binary64)))) (fma.f64 (*.f64 (+.f64 a #s(literal 1 binary64)) (*.f64 (+.f64 a #s(literal 1 binary64)) (+.f64 a #s(literal 1 binary64)))) #s(literal 64 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))))
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(/.f64 (*.f64 (fma.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal 4 binary64) a) (+.f64 #s(literal 4 binary64) a)) #s(literal -16 binary64)) (*.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal -4 binary64)))) (*.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))))
(/.f64 (*.f64 (*.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal -4 binary64)))) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal -4 binary64)) (fma.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 a (*.f64 a (*.f64 a a))))))
(/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))) (fma.f64 (*.f64 a (+.f64 #s(literal 4 binary64) a)) (*.f64 (*.f64 a (+.f64 #s(literal 4 binary64) a)) (*.f64 a (+.f64 #s(literal 4 binary64) a))) #s(literal 64 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (-.f64 (fma.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal 4 binary64) a) (+.f64 #s(literal 4 binary64) a)) #s(literal 16 binary64)) (*.f64 a (*.f64 (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))))))
(/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))) (fma.f64 (*.f64 (+.f64 a #s(literal 1 binary64)) (*.f64 (+.f64 a #s(literal 1 binary64)) (+.f64 a #s(literal 1 binary64)))) #s(literal 64 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (*.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (*.f64 a a))))))
(/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))) (fma.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal 4 binary64) a) (+.f64 #s(literal 4 binary64) a)) #s(literal -16 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal -4 binary64))))
(/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))) (*.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal -4 binary64)))) (*.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))))
(/.f64 (*.f64 (*.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))) (fma.f64 (*.f64 a (+.f64 #s(literal 4 binary64) a)) (*.f64 (*.f64 a (+.f64 #s(literal 4 binary64) a)) (*.f64 a (+.f64 #s(literal 4 binary64) a))) #s(literal 64 binary64))) (*.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (-.f64 (fma.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal 4 binary64) a) (+.f64 #s(literal 4 binary64) a)) #s(literal 16 binary64)) (*.f64 a (*.f64 (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))))))
(/.f64 (*.f64 (*.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))) (fma.f64 (*.f64 (+.f64 a #s(literal 1 binary64)) (*.f64 (+.f64 a #s(literal 1 binary64)) (+.f64 a #s(literal 1 binary64)))) #s(literal 64 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (*.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (*.f64 a a))))))
(/.f64 (*.f64 (*.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))) (fma.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal 4 binary64) a) (+.f64 #s(literal 4 binary64) a)) #s(literal -16 binary64))) (*.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal -4 binary64))))
(/.f64 (*.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal -4 binary64)))) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 (*.f64 (+.f64 a #s(literal 1 binary64)) (*.f64 (+.f64 a #s(literal 1 binary64)) (+.f64 a #s(literal 1 binary64)))) #s(literal 64 binary64)) (*.f64 (*.f64 (+.f64 a #s(literal 1 binary64)) (*.f64 (+.f64 a #s(literal 1 binary64)) (+.f64 a #s(literal 1 binary64)))) #s(literal 64 binary64)))) (fma.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 (*.f64 (+.f64 a #s(literal 1 binary64)) (+.f64 a #s(literal 1 binary64))) #s(literal 16 binary64)) (*.f64 (*.f64 (+.f64 a #s(literal 1 binary64)) (+.f64 a #s(literal 1 binary64))) #s(literal 16 binary64)) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 (+.f64 a #s(literal 1 binary64)) (+.f64 a #s(literal 1 binary64))) #s(literal 16 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 (*.f64 (+.f64 a #s(literal 1 binary64)) (+.f64 a #s(literal 1 binary64))) #s(literal 16 binary64)) (*.f64 (*.f64 (+.f64 a #s(literal 1 binary64)) (+.f64 a #s(literal 1 binary64))) #s(literal 16 binary64)))) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 (+.f64 a #s(literal 1 binary64)) (+.f64 a #s(literal 1 binary64))) #s(literal 16 binary64))))
(/.f64 (*.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal -4 binary64)))) (fma.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))))
(/.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal -4 binary64)) (fma.f64 (*.f64 a (+.f64 #s(literal 4 binary64) a)) (*.f64 (*.f64 a (+.f64 #s(literal 4 binary64) a)) (*.f64 a (+.f64 #s(literal 4 binary64) a))) #s(literal 64 binary64))) (-.f64 (fma.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal 4 binary64) a) (+.f64 #s(literal 4 binary64) a)) #s(literal 16 binary64)) (*.f64 a (*.f64 (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))))
(/.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal -4 binary64)) (fma.f64 (*.f64 (+.f64 a #s(literal 1 binary64)) (*.f64 (+.f64 a #s(literal 1 binary64)) (+.f64 a #s(literal 1 binary64)))) #s(literal 64 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (*.f64 a a)))))
(/.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal -4 binary64)) (fma.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal 4 binary64) a) (+.f64 #s(literal 4 binary64) a)) #s(literal -16 binary64))) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)))
(/.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal -4 binary64)) (*.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal -4 binary64)))) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal -4 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 a (+.f64 #s(literal 4 binary64) a)) (*.f64 (*.f64 a (+.f64 #s(literal 4 binary64) a)) (*.f64 a (+.f64 #s(literal 4 binary64) a))) #s(literal 64 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))) (-.f64 (fma.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal 4 binary64) a) (+.f64 #s(literal 4 binary64) a)) #s(literal 16 binary64)) (*.f64 a (*.f64 (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (+.f64 a #s(literal 1 binary64)) (*.f64 (+.f64 a #s(literal 1 binary64)) (+.f64 a #s(literal 1 binary64)))) #s(literal 64 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (*.f64 a a)))))
(/.f64 (*.f64 (fma.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal 4 binary64) a) (+.f64 #s(literal 4 binary64) a)) #s(literal -16 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal -4 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))))
(/.f64 (*.f64 (*.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))
(*.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal -4 binary64)))
(*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal -4 binary64)) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))

eval113.0ms (1.1%)

Memory
14.8MiB live, 201.5MiB allocated
Compiler

Compiled 27 215 to 2 073 computations (92.4% saved)

prune161.0ms (1.6%)

Memory
26.8MiB live, 193.1MiB allocated
Pruning

17 alts after pruning (8 fresh and 9 done)

PrunedKeptTotal
New8525857
Fresh033
Picked235
Done066
Total85417871
Accuracy
100.0%
Counts
871 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b #s(literal 4 binary64) (*.f64 b (*.f64 b b))) b #s(literal -1 binary64)))
67.4%
#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)))
69.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64)))
43.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -4 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 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) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
45.1%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))))) #s(literal -1 binary64)))
66.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* a a) (+ (* 4 a) 4)) (* (+ (* a (+ a 4)) 4) (- (* a a) (+ (* 4 a) 4)))) (/.f64 #s(literal 1 binary64) (*.f64 a a)))) #s(literal -1 binary64)))
66.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (/ 1 (/ (- (* a a) (+ (* 4 a) 4)) (* (+ (* a (+ a 4)) 4) (- (* a a) (+ (* 4 a) 4))))) (*.f64 a (+.f64 #s(literal 4 binary64) a))) #s(literal -1 binary64)))
46.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
46.0%
#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)))
48.3%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 b b) (*.f64 b b)))
48.3%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))
46.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
11.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b (+ (* b b) 4)) b) -1) (/.f64 (*.f64 (*.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (*.f64 b (-.f64 #s(literal 4 binary64) (*.f64 b b)))) b) (*.f64 b (-.f64 #s(literal 4 binary64) (*.f64 b b))))))
48.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b (+ (* b b) 4)) b) -1) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))))
28.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b (+ (* b b) 4)) b) -1) #s(approx (* b (* b (+ (* b b) 4))) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
22.2%
#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 631 to 218 computations (65.5% saved)

regimes54.0ms (0.5%)

Memory
-27.5MiB live, 62.2MiB allocated
Counts
26 → 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) #s(approx (+ (* (* b (+ (* b b) 4)) b) -1) #s(approx (* b (* b (+ (* b b) 4))) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #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 a (*.f64 a (*.f64 a a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 b b) (*.f64 b b)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b (+ (* b b) 4)) b) -1) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (/ 1 (/ (- (* a a) (+ (* 4 a) 4)) (* (+ (* a (+ a 4)) 4) (- (* a a) (+ (* 4 a) 4))))) (*.f64 a (+.f64 #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 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b #s(literal 4 binary64) (*.f64 b (*.f64 b 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) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b (*.f64 b b)) b (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* a a) (+ (* 4 a) 4)) (* (+ (* a (+ a 4)) 4) (- (* a a) (+ (* 4 a) 4)))) (/.f64 #s(literal 1 binary64) (*.f64 a a)))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -4 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 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) 4)) b) -1) (/.f64 (*.f64 (*.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (*.f64 b (-.f64 #s(literal 4 binary64) (*.f64 b b)))) b) (*.f64 b (-.f64 #s(literal 4 binary64) (*.f64 b b))))))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 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) (fma.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (fma.f64 #s(literal 4 binary64) (fma.f64 a (fma.f64 a a a) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #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) (pow.f64 a #s(literal 4 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64)))
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 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))
#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)))
Calls

5 calls:

23.0ms
b
8.0ms
(*.f64 b b)
8.0ms
a
7.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 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
98.1%3a
97.8%3b
98.1%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))
98.1%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))))))
97.8%3(*.f64 b b)
Compiler

Compiled 75 to 44 computations (41.3% saved)

regimes15.0ms (0.2%)

Memory
21.6MiB live, 21.6MiB allocated
Counts
25 → 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) #s(approx (+ (* (* b (+ (* b b) 4)) b) -1) #s(approx (* b (* b (+ (* b b) 4))) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #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 a (*.f64 a (*.f64 a a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 b b) (*.f64 b b)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b (+ (* b b) 4)) b) -1) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (/ 1 (/ (- (* a a) (+ (* 4 a) 4)) (* (+ (* a (+ a 4)) 4) (- (* a a) (+ (* 4 a) 4))))) (*.f64 a (+.f64 #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 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b #s(literal 4 binary64) (*.f64 b (*.f64 b 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) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b (*.f64 b b)) b (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* a a) (+ (* 4 a) 4)) (* (+ (* a (+ a 4)) 4) (- (* a a) (+ (* 4 a) 4)))) (/.f64 #s(literal 1 binary64) (*.f64 a a)))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -4 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 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) 4)) b) -1) (/.f64 (*.f64 (*.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (*.f64 b (-.f64 #s(literal 4 binary64) (*.f64 b b)))) b) (*.f64 b (-.f64 #s(literal 4 binary64) (*.f64 b b))))))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 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) (fma.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (fma.f64 #s(literal 4 binary64) (fma.f64 a (fma.f64 a a a) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #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) (pow.f64 a #s(literal 4 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64)))
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (fma.f64 #s(literal 4 binary64) (fma.f64 a (fma.f64 a a a) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #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) (fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
Calls

2 calls:

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

Compiled 64 to 37 computations (42.2% saved)

regimes36.0ms (0.4%)

Memory
-21.4MiB live, 56.0MiB allocated
Counts
22 → 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) #s(approx (+ (* (* b (+ (* b b) 4)) b) -1) #s(approx (* b (* b (+ (* b b) 4))) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #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 a (*.f64 a (*.f64 a a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 b b) (*.f64 b b)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b (+ (* b b) 4)) b) -1) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (/ 1 (/ (- (* a a) (+ (* 4 a) 4)) (* (+ (* a (+ a 4)) 4) (- (* a a) (+ (* 4 a) 4))))) (*.f64 a (+.f64 #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 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b #s(literal 4 binary64) (*.f64 b (*.f64 b 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) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b (*.f64 b b)) b (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* a a) (+ (* 4 a) 4)) (* (+ (* a (+ a 4)) 4) (- (* a a) (+ (* 4 a) 4)))) (/.f64 #s(literal 1 binary64) (*.f64 a a)))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -4 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 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) 4)) b) -1) (/.f64 (*.f64 (*.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (*.f64 b (-.f64 #s(literal 4 binary64) (*.f64 b b)))) b) (*.f64 b (-.f64 #s(literal 4 binary64) (*.f64 b b))))))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 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) (fma.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))))) #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) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #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) #s(approx (+ (* (* b (+ (* b b) 4)) b) -1) #s(approx (* b (* b (+ (* b b) 4))) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
Calls

5 calls:

8.0ms
(*.f64 b b)
7.0ms
a
7.0ms
b
6.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 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
97.8%3b
97.8%3(*.f64 b b)
95.5%3a
89.2%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))
89.2%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))))))
Compiler

Compiled 75 to 44 computations (41.3% saved)

regimes21.0ms (0.2%)

Memory
-5.4MiB live, 30.1MiB allocated
Counts
16 → 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) #s(approx (+ (* (* b (+ (* b b) 4)) b) -1) #s(approx (* b (* b (+ (* b b) 4))) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #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 a (*.f64 a (*.f64 a a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 b b) (*.f64 b b)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b (+ (* b b) 4)) b) -1) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (/ 1 (/ (- (* a a) (+ (* 4 a) 4)) (* (+ (* a (+ a 4)) 4) (- (* a a) (+ (* 4 a) 4))))) (*.f64 a (+.f64 #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 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b #s(literal 4 binary64) (*.f64 b (*.f64 b 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) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b (*.f64 b b)) b (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* a a) (+ (* 4 a) 4)) (* (+ (* a (+ a 4)) 4) (- (* a a) (+ (* 4 a) 4)))) (/.f64 #s(literal 1 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) (*.f64 a (*.f64 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)))
#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)))
Calls

3 calls:

10.0ms
a
5.0ms
b
5.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
95.5%3a
93.7%2b
93.7%2(*.f64 b b)
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes12.0ms (0.1%)

Memory
23.9MiB live, 23.9MiB 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) #s(approx (+ (* (* b (+ (* b b) 4)) b) -1) #s(approx (* b (* b (+ (* b b) 4))) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #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 a (*.f64 a (*.f64 a a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 b b) (*.f64 b b)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b (+ (* b b) 4)) b) -1) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (/ 1 (/ (- (* a a) (+ (* 4 a) 4)) (* (+ (* a (+ a 4)) 4) (- (* a a) (+ (* 4 a) 4))))) (*.f64 a (+.f64 #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) (*.f64 a (*.f64 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)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
Calls

3 calls:

4.0ms
a
4.0ms
b
4.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
93.2%2b
93.2%2(*.f64 b b)
95.1%3a
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes23.0ms (0.2%)

Memory
-11.5MiB live, 29.5MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b (+ (* b b) 4)) b) -1) #s(approx (* b (* b (+ (* b b) 4))) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #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 a (*.f64 a (*.f64 a a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 b b) (*.f64 b b)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b (+ (* b b) 4)) b) -1) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 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) #s(approx (+ (* (* b (+ (* b b) 4)) b) -1) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))))
Calls

5 calls:

10.0ms
(*.f64 b b)
3.0ms
b
3.0ms
a
3.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 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
79.3%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))
79.3%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))))))
79.5%2b
79.5%2(*.f64 b b)
80.7%3a
Compiler

Compiled 75 to 44 computations (41.3% saved)

regimes6.0ms (0.1%)

Memory
10.0MiB live, 10.0MiB 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) #s(approx (+ (* (* b (+ (* b b) 4)) b) -1) #s(approx (* b (* b (+ (* b b) 4))) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #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 a (*.f64 a (*.f64 a a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 b b) (*.f64 b b)))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 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 b b) (*.f64 b b)))
Calls

2 calls:

3.0ms
b
3.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
79.2%2b
79.2%2(*.f64 b b)
Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes6.0ms (0.1%)

Memory
11.0MiB live, 11.0MiB allocated
Counts
6 → 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) #s(approx (+ (* (* b (+ (* b b) 4)) b) -1) #s(approx (* b (* b (+ (* b b) 4))) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #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 a (*.f64 a (*.f64 a a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 b (*.f64 b (*.f64 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 b (*.f64 b (*.f64 b b))))
Calls

2 calls:

3.0ms
b
3.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
79.2%2b
79.2%2(*.f64 b b)
Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes9.0ms (0.1%)

Memory
-22.8MiB live, 15.3MiB 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) #s(approx (+ (* (* b (+ (* b b) 4)) b) -1) #s(approx (* b (* b (+ (* b b) 4))) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #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 a (*.f64 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 a (*.f64 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 a (*.f64 a (*.f64 a a))))
Calls

3 calls:

4.0ms
(*.f64 b b)
2.0ms
a
2.0ms
b
Results
AccuracySegmentsBranch
80.7%3a
69.6%3b
69.6%3(*.f64 b b)
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes11.0ms (0.1%)

Memory
22.1MiB live, 22.1MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* 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) #s(approx (+ (* (* b (+ (* b b) 4)) b) -1) #s(approx (* b (* b (+ (* b b) 4))) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #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
a
2.0ms
b
2.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
2.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
2.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
64.7%2b
64.7%2(*.f64 b b)
56.0%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))
56.0%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))))))
65.2%3a
Compiler

Compiled 75 to 44 computations (41.3% saved)

regimes6.0ms (0.1%)

Memory
-28.6MiB live, 9.3MiB 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) #s(approx (+ (* (* b (+ (* b b) 4)) b) -1) #s(approx (* b (* b (+ (* b b) 4))) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) #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) #s(approx (+ (* (* b (+ (* b b) 4)) b) -1) #s(approx (* b (* b (+ (* b b) 4))) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
Calls

2 calls:

3.0ms
(*.f64 b b)
2.0ms
b
Results
AccuracySegmentsBranch
64.7%2b
64.7%2(*.f64 b b)
Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes8.0ms (0.1%)

Memory
20.1MiB live, 20.1MiB allocated
Counts
2 → 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) #s(approx (+ (* (* b (+ (* b b) 4)) b) -1) #s(approx (* b (* b (+ (* b b) 4))) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
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)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b (+ (* b b) 4)) b) -1) #s(approx (* b (* b (+ (* b b) 4))) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
Calls

5 calls:

2.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
2.0ms
b
1.0ms
a
1.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
1.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
49.7%2(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
49.7%2(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
37.5%3a
49.4%2b
49.4%2(*.f64 b b)
Compiler

Compiled 75 to 44 computations (41.3% saved)

regimes8.0ms (0.1%)

Memory
-21.3MiB live, 17.4MiB 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:

3.0ms
a
1.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
1.0ms
(-.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
b
1.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
22.2%1a
22.2%1b
22.2%1(*.f64 b b)
22.2%1(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
22.2%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
Compiler

Compiled 75 to 44 computations (41.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
Compiler

Compiled 36 to 25 computations (30.6% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
Compiler

Compiled 36 to 25 computations (30.6% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.7100807825624335e+306
+inf
0.0ms
5.471591216110968e-19
2.233887405689676e-13
Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch37.0ms (0.4%)

Memory
6.6MiB live, 49.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
2.003183714930101
26.194014199367608
16.0ms
-1.923952876357209e+21
-2504292865966961000.0
Samples
20.0ms224×0valid
Compiler

Compiled 396 to 237 computations (40.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 7.0ms (46.3% of total)
ival-add: 4.0ms (26.5% of total)
ival-sub: 2.0ms (13.2% of total)
ival-pow2: 2.0ms (13.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch21.0ms (0.2%)

Memory
-5.6MiB live, 32.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
5.589514307077984e+20
1.4324189659967712e+24
1.0ms
-1.923952876357209e+21
-2504292865966961000.0
Samples
13.0ms128×0valid
Compiler

Compiled 420 to 247 computations (41.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-add: 4.0ms (39.8% of total)
ival-mult: 4.0ms (39.8% of total)
ival-sub: 1.0ms (10% of total)
ival-pow2: 1.0ms (10% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.660321141515587e-8
9964.98846136211
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
7.660321141515587e-8
9964.98846136211
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
7.660321141515587e-8
9964.98846136211
Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch23.0ms (0.2%)

Memory
-1.4MiB live, 35.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
6.0ms
2.003183714930101
26.194014199367608
12.0ms
-1.923952876357209e+21
-2504292865966961000.0
Samples
13.0ms144×0valid
Compiler

Compiled 344 to 205 computations (40.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 5.0ms (50.9% of total)
ival-add: 2.0ms (20.3% of total)
ival-sub: 1.0ms (10.2% of total)
ival-pow2: 1.0ms (10.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch20.0ms (0.2%)

Memory
33.8MiB live, 33.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
1.4698140132398563e+297
1.7100807825624335e+306
Samples
12.0ms144×0valid
Compiler

Compiled 214 to 140 computations (34.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 4.0ms (44.2% of total)
ival-add: 2.0ms (22.1% of total)
ival-sub: 1.0ms (11.1% of total)
ival-pow2: 1.0ms (11.1% 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
1.6MiB live, 1.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
1.4698140132398563e+297
1.7100807825624335e+306
Compiler

Compiled 214 to 131 computations (38.8% saved)

bsearch3.0ms (0%)

Memory
-37.3MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
2.0ms
3.064128515286755e-7
545403.5312303747
Compiler

Compiled 36 to 25 computations (30.6% saved)

simplify16.0ms (0.2%)

Memory
29.0MiB live, 29.0MiB allocated
Algorithm
egg-herbie
Rules
36×*-commutative_binary64
22×+-commutative_binary64
12×sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01301455
11591455
21721455
31831455
41871455
51881455
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal +inf.0 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)) #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))))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal +inf.0 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (fma.f64 #s(literal 4 binary64) (fma.f64 a (fma.f64 a a a) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #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) (fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 1298074214633707/1298074214633706907132624082305024 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))) (if (<=.f64 (*.f64 b b) #s(literal 2000000000000000034432129193472909657662175650026477964657784035784761342489150095975840903750919189137212277723396582120622098451065897041393877611422881300245257029338856920713985249936056659101378448350568693460121432177658428510879389260239589093011024831235964286525341725837632725724238309498254524416 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #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) #s(approx (+ (* (* b (+ (* b b) 4)) b) -1) #s(approx (* b (* b (+ (* b b) 4))) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))))
(if (<=.f64 a #s(literal -18200000000000000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 a (*.f64 a (*.f64 a a)))) (if (<=.f64 a #s(literal 31/2 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) (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 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))))
(if (<=.f64 a #s(literal -18200000000000000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 a (*.f64 a (*.f64 a a)))) (if (<=.f64 a #s(literal 4600000000000000000000 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 a (*.f64 a (*.f64 a a))))))
(if (<=.f64 (*.f64 b b) #s(literal 944473296573929/9444732965739290427392 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) 4)) b) -1) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))))))
(if (<=.f64 (*.f64 b b) #s(literal 944473296573929/9444732965739290427392 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 b b) (*.f64 b b))))
(if (<=.f64 (*.f64 b b) #s(literal 944473296573929/9444732965739290427392 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 b (*.f64 b (*.f64 b b)))))
(if (<=.f64 a #s(literal -2550000000000000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 a (*.f64 a (*.f64 a a)))) (if (<=.f64 a #s(literal 26 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 a (*.f64 a (*.f64 a a))))))
(if (<=.f64 (*.f64 b b) #s(literal 105000000000000003366937024481327609883805403686420222884729959093901174779545413192803437969551433824202055121599962037381446765706346504026645753032196315715353961450314535462488657614678659382148713416813440143104310146002008116610863604225758418702496982114922623095018649103160125633615085647364620288 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))))
(if (<=.f64 (*.f64 b b) #s(literal 105000000000000003366937024481327609883805403686420222884729959093901174779545413192803437969551433824202055121599962037381446765706346504026645753032196315715353961450314535462488657614678659382148713416813440143104310146002008116610863604225758418702496982114922623095018649103160125633615085647364620288 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) 4)) b) -1) #s(approx (* b (* b (+ (* b b) 4))) (*.f64 #s(literal 4 binary64) (*.f64 b b))))))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 4722366482869645/9444732965739290427392 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 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b (+ (* b b) 4)) b) -1) #s(approx (* b (* b (+ (* b b) 4))) (*.f64 #s(literal 4 binary64) (*.f64 b b))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
Outputs
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal +inf.0 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)) #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))))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 a #s(literal 1 binary64))) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 a #s(literal 3 binary64))))))) #s(literal +inf.0 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 a #s(literal 1 binary64))) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 a #s(literal 3 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 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal +inf.0 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (fma.f64 #s(literal 4 binary64) (fma.f64 a (fma.f64 a a a) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #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) (fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 a #s(literal 1 binary64))) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 a #s(literal 3 binary64))))))) #s(literal +inf.0 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (fma.f64 #s(literal 4 binary64) (fma.f64 a (fma.f64 a a a) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #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) (fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 1298074214633707/1298074214633706907132624082305024 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))) (if (<=.f64 (*.f64 b b) #s(literal 2000000000000000034432129193472909657662175650026477964657784035784761342489150095975840903750919189137212277723396582120622098451065897041393877611422881300245257029338856920713985249936056659101378448350568693460121432177658428510879389260239589093011024831235964286525341725837632725724238309498254524416 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #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) #s(approx (+ (* (* b (+ (* b b) 4)) b) -1) #s(approx (* b (* b (+ (* b b) 4))) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))))
(if (<=.f64 (*.f64 b b) #s(literal 1298074214633707/1298074214633706907132624082305024 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))) (if (<=.f64 (*.f64 b b) #s(literal 2000000000000000034432129193472909657662175650026477964657784035784761342489150095975840903750919189137212277723396582120622098451065897041393877611422881300245257029338856920713985249936056659101378448350568693460121432177658428510879389260239589093011024831235964286525341725837632725724238309498254524416 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b (+ (* b b) 4)) b) -1) #s(approx (* b (* b (+ (* b b) 4))) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))))
(if (<=.f64 a #s(literal -18200000000000000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 a (*.f64 a (*.f64 a a)))) (if (<=.f64 a #s(literal 31/2 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) (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 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))))
(if (<=.f64 a #s(literal -18200000000000000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 a (*.f64 a (*.f64 a a)))) (if (<=.f64 a #s(literal 4600000000000000000000 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 a (*.f64 a (*.f64 a a))))))
(if (<=.f64 (*.f64 b b) #s(literal 944473296573929/9444732965739290427392 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) 4)) b) -1) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))))))
(if (<=.f64 (*.f64 b b) #s(literal 944473296573929/9444732965739290427392 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 b b) (*.f64 b b))))
(if (<=.f64 (*.f64 b b) #s(literal 944473296573929/9444732965739290427392 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 b (*.f64 b (*.f64 b b)))))
(if (<=.f64 a #s(literal -2550000000000000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 a (*.f64 a (*.f64 a a)))) (if (<=.f64 a #s(literal 26 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 a (*.f64 a (*.f64 a a))))))
(if (<=.f64 (*.f64 b b) #s(literal 105000000000000003366937024481327609883805403686420222884729959093901174779545413192803437969551433824202055121599962037381446765706346504026645753032196315715353961450314535462488657614678659382148713416813440143104310146002008116610863604225758418702496982114922623095018649103160125633615085647364620288 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))))
(if (<=.f64 (*.f64 b b) #s(literal 105000000000000003366937024481327609883805403686420222884729959093901174779545413192803437969551433824202055121599962037381446765706346504026645753032196315715353961450314535462488657614678659382148713416813440143104310146002008116610863604225758418702496982114922623095018649103160125633615085647364620288 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) 4)) b) -1) #s(approx (* b (* b (+ (* b b) 4))) (*.f64 #s(literal 4 binary64) (*.f64 b b))))))
(if (<=.f64 (*.f64 b b) #s(literal 105000000000000003366937024481327609883805403686420222884729959093901174779545413192803437969551433824202055121599962037381446765706346504026645753032196315715353961450314535462488657614678659382148713416813440143104310146002008116610863604225758418702496982114922623095018649103160125633615085647364620288 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) 4)) b) -1) #s(approx (* b (* b (+ (* b b) 4))) (*.f64 (*.f64 b b) #s(literal 4 binary64))))))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 4722366482869645/9444732965739290427392 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 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b (+ (* b b) 4)) b) -1) #s(approx (* b (* b (+ (* b b) 4))) (*.f64 #s(literal 4 binary64) (*.f64 b b))))))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 a #s(literal 1 binary64))) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 a #s(literal 3 binary64))))))) #s(literal 4722366482869645/9444732965739290427392 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 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b (+ (* b b) 4)) b) -1) #s(approx (* b (* b (+ (* b b) 4))) (*.f64 (*.f64 b b) #s(literal 4 binary64))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))

soundness1.4s (14.4%)

Memory
-6.5MiB live, 927.5MiB allocated
Rules
31 364×lower-fma.f64
31 364×lower-fma.f32
22 048×lower-fma.f64
22 048×lower-fma.f32
19 764×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02344374
17074273
220004034
365993892
083373494
019102
032102
1145102
21259102
0825882
02325178
17535069
223124830
369324698
083084189
01564138
14744048
213873838
354453718
089693326
043332
067320
1339312
22958312
09291279
01852332
16002246
218372184
358192098
081701858
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 958 to 386 computations (59.7% saved)

preprocess155.0ms (1.6%)

Memory
-25.2MiB live, 131.0MiB allocated
Remove

(abs b)

Compiler

Compiled 1 164 to 270 computations (76.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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