Bouland and Aaronson, Equation (25)

Time bar (total: 13.5s)

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB 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)

sample1.2s (8.7%)

Memory
57.3MiB live, 2 372.6MiB allocated
Samples
858.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 642.0ms
ival-mult: 288.0ms (44.9% of total)
ival-add: 162.0ms (25.3% of total)
ival-sub: 91.0ms (14.2% of total)
ival-pow2: 81.0ms (12.6% of total)
exact: 11.0ms (1.7% of total)
ival-true: 5.0ms (0.8% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

preprocess554.0ms (4.1%)

Memory
6.3MiB live, 1 156.5MiB allocated
Algorithm
egg-herbie
Rules
21 268×accelerator-lowering-fma.f32
21 268×accelerator-lowering-fma.f64
4 248×--lowering--.f32
4 248×--lowering--.f64
3 998×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054190
1192188
2706186
32940186
46753186
01931
15731
217531
358031
4194431
5347131
0805526
Stop Event
iter limit
node limit
node limit
Calls
Call 1
Inputs
(- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1)
Outputs
(- (+ (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 0 binary64)) (+.f64 (fma.f64 a a (fma.f64 b b #s(literal 0 binary64))) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a a (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))) #s(literal -1 binary64)))
Call 2
Inputs
(- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1)
(- (+ (pow (+ (* (neg a) (neg a)) (* b b)) 2) (* 4 (+ (* (* (neg a) (neg a)) (+ 1 (neg a))) (* (* b b) (- 1 (* 3 (neg a))))))) 1)
(- (+ (pow (+ (* a a) (* (neg b) (neg b))) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* (neg b) (neg b)) (- 1 (* 3 a)))))) 1)
(neg (- (+ (pow (+ (* (neg a) (neg a)) (* b b)) 2) (* 4 (+ (* (* (neg a) (neg a)) (+ 1 (neg a))) (* (* b b) (- 1 (* 3 (neg a))))))) 1))
(neg (- (+ (pow (+ (* a a) (* (neg b) (neg b))) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* (neg b) (neg b)) (- 1 (* 3 a)))))) 1))
(- (+ (pow (+ (* b b) (* a a)) 2) (* 4 (+ (* (* b b) (+ 1 b)) (* (* a a) (- 1 (* 3 b)))))) 1)
Outputs
(- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1)
(+ (* 4 (+ (+ (* a a) (pow a 3)) (* (* b b) (+ 1 (* a -3))))) (+ (pow (+ (* a a) (* b b)) 2) -1))
(- (+ (pow (+ (* (neg a) (neg a)) (* b b)) 2) (* 4 (+ (* (* (neg a) (neg a)) (+ 1 (neg a))) (* (* b b) (- 1 (* 3 (neg a))))))) 1)
(+ (* 4 (+ (- (* a a) (pow a 3)) (* b (* b (+ 1 (* a 3)))))) (+ (pow (+ (* a a) (* b b)) 2) -1))
(- (+ (pow (+ (* a a) (* (neg b) (neg b))) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* (neg b) (neg b)) (- 1 (* 3 a)))))) 1)
(+ (* 4 (+ (+ (* a a) (pow a 3)) (* (* b b) (+ 1 (* a -3))))) (+ (pow (+ (* a a) (* b b)) 2) -1))
(neg (- (+ (pow (+ (* (neg a) (neg a)) (* b b)) 2) (* 4 (+ (* (* (neg a) (neg a)) (+ 1 (neg a))) (* (* b b) (- 1 (* 3 (neg a))))))) 1))
(+ (* 4 (- (pow a 3) (+ (* a a) (* b (* b (+ 1 (* a 3))))))) (- 1 (pow (+ (* a a) (* b b)) 2)))
(neg (- (+ (pow (+ (* a a) (* (neg b) (neg b))) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* (neg b) (neg b)) (- 1 (* 3 a)))))) 1))
(+ (* 4 (+ (* (* a a) (- -1 a)) (* (* b b) (+ (* a 3) -1)))) (- 1 (pow (+ (* a a) (* b b)) 2)))
(- (+ (pow (+ (* b b) (* a a)) 2) (* 4 (+ (* (* b b) (+ 1 b)) (* (* a a) (- 1 (* 3 b)))))) 1)
(+ (* 4 (+ (* a a) (+ (* b (+ (* (* a a) -3) b)) (pow b 3)))) (+ (pow (+ (* a a) (* b b)) 2) -1))
Symmetry

(abs b)

explain292.0ms (2.2%)

Memory
17.4MiB live, 692.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
510-0-(+.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))))))
330-0-(+.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))))
160-1(-3.2471733277788135e+199 2.1011630788420035e-161)(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))
00-0-(*.f64 a a)
00-0-(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))
00-0-a
00-0-#s(literal 3 binary64)
00-0-#s(literal 1 binary64)
00-0-(*.f64 b b)
00-0-(+.f64 (*.f64 a a) (*.f64 b b))
00-0-(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
00-0-(*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a))
00-0-#s(literal 4 binary64)
00-0-(+.f64 #s(literal 1 binary64) a)
00-0-#s(literal 2 binary64)
00-0-(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
00-0-b
00-0-(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))
00-0-(*.f64 #s(literal 3 binary64) a)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))nan-rescue510
(*.f64 b b)overflow66
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))overflow154
(*.f64 a a)overflow67
(+.f64 (*.f64 a a) (*.f64 b b))overflow119
(*.f64 b b)overflow66
(*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a))overflow78
(*.f64 a a)overflow67
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))overflow82
(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))overflow127
(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))overflow127
+.f64(+.f64 (*.f64 (*.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-rescue330
(*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a))overflow78
(*.f64 a a)overflow67
(*.f64 b b)overflow66
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))overflow82
Confusion
Predicted +Predicted -
+650
-0191
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6500
-00191
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0191
146
219
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
55.0ms474×0valid
7.0ms22×2valid
5.0ms16×1valid
Compiler

Compiled 372 to 80 computations (78.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-mult: 19.0ms (45.6% of total)
ival-add: 9.0ms (21.6% of total)
ival-sub: 5.0ms (12% of total)
ival-pow2: 5.0ms (12% of total)
adjust: 1.0ms (2.4% of total)
exact: 1.0ms (2.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
2.7MiB live, 2.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.5%
(-.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)

simplify666.0ms (4.9%)

Memory
-22.4MiB live, 682.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff192
(+.f64 (*.f64 (*.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-diff192
(+.f64 (*.f64 a a) (*.f64 b b))
cost-diff320
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
cost-diff5376
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
Rules
21 268×accelerator-lowering-fma.f32
21 268×accelerator-lowering-fma.f64
4 248×--lowering--.f32
4 248×--lowering--.f64
3 998×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019151
157151
2175151
3580151
41944151
53471151
08055130
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1)
(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
(pow (+ (* a a) (* b b)) 2)
(+ (* a a) (* b b))
(* a a)
a
(* b b)
b
2
(* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))
4
(+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))
(* (* a a) (+ 1 a))
(+ 1 a)
1
(* (* b b) (- 1 (* 3 a)))
(- 1 (* 3 a))
(* 3 a)
3
Outputs
(- (+ (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 0 binary64)) (+.f64 (fma.f64 a a (fma.f64 b b #s(literal 0 binary64))) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a a (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))) #s(literal -1 binary64)))
(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
(fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a a (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))) (*.f64 (fma.f64 b b #s(literal 0 binary64)) (+.f64 #s(literal 4 binary64) (fma.f64 a #s(literal -12 binary64) (fma.f64 a a (fma.f64 b b #s(literal 0 binary64)))))))
(pow (+ (* a a) (* b b)) 2)
(*.f64 (fma.f64 a a (fma.f64 b b #s(literal 0 binary64))) (fma.f64 a a (fma.f64 b b #s(literal 0 binary64))))
(+ (* a a) (* b b))
(fma.f64 a a (fma.f64 b b #s(literal 0 binary64)))
(* a a)
(fma.f64 a a #s(literal 0 binary64))
a
(* b b)
(fma.f64 b b #s(literal 0 binary64))
b
2
#s(literal 2 binary64)
(* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))
(fma.f64 a (*.f64 a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) #s(literal 0 binary64)))
4
#s(literal 4 binary64)
(+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))
(fma.f64 a (fma.f64 a a a) (fma.f64 b (fma.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(* (* a a) (+ 1 a))
(fma.f64 a (fma.f64 a a a) #s(literal 0 binary64))
(+ 1 a)
(+.f64 a #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* (* b b) (- 1 (* 3 a)))
(fma.f64 b (fma.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(- 1 (* 3 a))
(fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))
(* 3 a)
(fma.f64 a #s(literal 3 binary64) #s(literal 0 binary64))
3
#s(literal 3 binary64)

localize81.0ms (0.6%)

Memory
-4.4MiB live, 72.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
accuracy94.5%
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))
accuracy88.2%
(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))
accuracy84.1%
(+.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))))))
Samples
36.0ms237×0valid
3.0ms11×2valid
2.0ms1valid
Compiler

Compiled 153 to 21 computations (86.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-sub: 12.0ms (40.1% of total)
ival-mult: 9.0ms (30.1% of total)
ival-add: 5.0ms (16.7% of total)
ival-pow2: 2.0ms (6.7% of total)
adjust: 1.0ms (3.3% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
8.2MiB live, 8.2MiB allocated
Counts
5 → 120
Calls
Call 1
Inputs
#<alt (pow (+ (* a a) (* b b)) 2)>
#<alt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))>
#<alt (+ (* a a) (* b b))>
#<alt (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))>
#<alt (* (* b b) (- 1 (* 3 a)))>
Outputs
#<alt (pow b 4)>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))>
#<alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))>
#<alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (pow a 4)>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))>
#<alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))>
#<alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (+ (* 4 (pow b 2)) (pow b 4))>
#<alt (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))>
#<alt (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))>
#<alt (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))>
#<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)))))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))>
#<alt (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))>
#<alt (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))>
#<alt (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))>
#<alt (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))>
#<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)))))))>
#<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)))))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))>
#<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)))))))>
#<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)))))))>
#<alt (pow b 2)>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (pow a 2)>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (pow b 2)>
#<alt (+ (* -3 (* a (pow b 2))) (pow b 2))>
#<alt (+ (* a (+ a (* -3 (pow b 2)))) (pow b 2))>
#<alt (+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2))>
#<alt (pow a 3)>
#<alt (* (pow a 3) (+ 1 (/ 1 a)))>
#<alt (* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a))))>
#<alt (* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3))))))>
#<alt (pow a 3)>
#<alt (* (pow a 3) (+ 1 (/ 1 a)))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1)))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1)))>
#<alt (* (pow a 2) (+ 1 a))>
#<alt (+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))>
#<alt (+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))>
#<alt (+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))>
#<alt (* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))>
#<alt (* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))>
#<alt (* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))>
#<alt (* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (pow b 2)>
#<alt (+ (* -3 (* a (pow b 2))) (pow b 2))>
#<alt (+ (* -3 (* a (pow b 2))) (pow b 2))>
#<alt (+ (* -3 (* a (pow b 2))) (pow b 2))>
#<alt (* -3 (* a (pow b 2)))>
#<alt (* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))>
#<alt (* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))>
#<alt (* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))>
#<alt (* -3 (* a (pow b 2)))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))>
Calls

30 calls:

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

rewrite900.0ms (6.6%)

Memory
12.0MiB live, 612.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
8 020×accelerator-lowering-fma.f32
8 020×accelerator-lowering-fma.f64
4 744×*-lowering-*.f32
4 744×*-lowering-*.f64
3 290×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01871
111671
2106371
0843057
Stop Event
iter limit
node limit
Counts
5 → 460
Calls
Call 1
Inputs
(pow (+ (* a a) (* b b)) 2)
(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
(+ (* a a) (* b b))
(+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))
(* (* b b) (- 1 (* 3 a)))
Outputs
(+.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 (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))))
(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)))
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 a a (*.f64 b b))) b) (*.f64 (sqrt.f64 (fma.f64 a a (*.f64 b b))) b) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)))
(fma.f64 (*.f64 a (sqrt.f64 (fma.f64 a a (*.f64 b b)))) (*.f64 a (sqrt.f64 (fma.f64 a a (*.f64 b b)))) (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))))
(fma.f64 (*.f64 b (sqrt.f64 (fma.f64 a a (*.f64 b b)))) (*.f64 b (sqrt.f64 (fma.f64 a a (*.f64 b b)))) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))))
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 a a (*.f64 b b))) a) (*.f64 (sqrt.f64 (fma.f64 a a (*.f64 b b))) a) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)))
(/.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 a) (-.f64 b a)) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 (*.f64 b b) (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 a (*.f64 a (*.f64 a a))))) (*.f64 (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 b b) (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 (*.f64 b b) (*.f64 (+.f64 b a) (-.f64 b 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 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b b) (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b b) (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 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 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 (fma.f64 (*.f64 b b) (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 (*.f64 b b) (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 a (*.f64 a (*.f64 a a))))))
(/.f64 (*.f64 (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (*.f64 (fma.f64 (*.f64 b b) (*.f64 (+.f64 b a) (-.f64 b 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 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 (*.f64 b b) (*.f64 (+.f64 b a) (-.f64 b 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 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (fma.f64 (*.f64 b b) (*.f64 (+.f64 b a) (-.f64 b 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 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 a a (*.f64 b b))) (fma.f64 (*.f64 b b) (*.f64 (+.f64 b a) (-.f64 b 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 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (neg.f64 (*.f64 (fma.f64 (*.f64 b b) (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 (*.f64 b b) (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 a (*.f64 a (*.f64 a a)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))))) (neg.f64 (*.f64 (fma.f64 (*.f64 b b) (*.f64 (+.f64 b a) (-.f64 b 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 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (neg.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 (*.f64 b b) (*.f64 (+.f64 b a) (-.f64 b 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 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 b b) (*.f64 (+.f64 b a) (-.f64 b 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))))) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 a a (*.f64 b b)))) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 b b) (*.f64 (+.f64 b a) (-.f64 b 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)))) (-.f64 #s(literal 0 binary64) (*.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))))
(/.f64 (-.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 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 (*.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 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)))))
(pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) #s(literal 1 binary64))
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(/.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))))) (-.f64 #s(literal 0 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 (neg.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 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 27 binary64))) (*.f64 b b))) (-.f64 #s(literal 0 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 (neg.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 (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))))

simplify538.0ms (4%)

Memory
-8.7MiB live, 983.8MiB allocated
Algorithm
egg-herbie
Rules
23 442×accelerator-lowering-fma.f32
23 442×accelerator-lowering-fma.f64
4 536×+-lowering-+.f64
4 536×+-lowering-+.f32
4 408×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01751704
15651636
217101594
351511544
082181379
Stop Event
iter limit
node limit
Counts
120 → 120
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)))))))
(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 (*.f64 b b)) (*.f64 (*.f64 a a) (fma.f64 b (*.f64 b #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 (*.f64 b b)) (*.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.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 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(fma.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)) (*.f64 b (*.f64 b (*.f64 b b))))
(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 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(fma.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)) (*.f64 b (*.f64 b (*.f64 b b))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(*.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.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)))
(* (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))))
(+ (* 4 (pow b 2)) (pow b 4))
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(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)) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))
(fma.f64 a (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #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 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) a) (fma.f64 b (/.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 a a))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) (+.f64 (/.f64 #s(literal 4 binary64) a) (/.f64 #s(literal 4 binary64) (*.f64 a a))))))
(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 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 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64)) a)) a)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.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)))))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 (*.f64 b b) (fma.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))))))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 (*.f64 b b) (fma.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))))))
(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)))))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (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))))) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a #s(literal -3 binary64)) #s(literal 4 binary64)) (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (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))))) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a #s(literal -3 binary64)) #s(literal 4 binary64)) (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a))))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 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)))))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (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))))) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a #s(literal -3 binary64)) #s(literal 4 binary64)) (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (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))))) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a #s(literal -3 binary64)) #s(literal 4 binary64)) (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a))))
(pow b 2)
(*.f64 b b)
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(pow a 2)
(*.f64 a a)
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(pow b 2)
(*.f64 b b)
(+ (* -3 (* a (pow b 2))) (pow b 2))
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))
(+ (* a (+ a (* -3 (pow b 2)))) (pow b 2))
(fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a a))
(+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2))
(fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a)))
(pow a 3)
(*.f64 a (*.f64 a a))
(* (pow a 3) (+ 1 (/ 1 a)))
(*.f64 a (fma.f64 a a a))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a))))
(*.f64 (*.f64 a a) (fma.f64 a (fma.f64 (/.f64 b (*.f64 a a)) (*.f64 b #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3))))))
(*.f64 (*.f64 a a) (fma.f64 a (fma.f64 b (/.f64 b (*.f64 a (*.f64 a a))) (fma.f64 (/.f64 b (*.f64 a a)) (*.f64 b #s(literal -3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(pow a 3)
(*.f64 a (*.f64 a a))
(* (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)))
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -3 binary64) #s(literal 1 binary64)) a)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1)))
(*.f64 (*.f64 a a) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (fma.f64 b #s(literal -3 binary64) (/.f64 b a))) a)) a))))
(* (pow a 2) (+ 1 a))
(*.f64 a (fma.f64 a a a))
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))
(fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a)))
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))
(fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a)))
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))
(fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a)))
(* (pow b 2) (- 1 (* 3 a)))
(*.f64 b (*.f64 b (fma.f64 a #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 (fma.f64 a (/.f64 (+.f64 a #s(literal 1 binary64)) (*.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 (fma.f64 a (/.f64 (+.f64 a #s(literal 1 binary64)) (*.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 (fma.f64 a (/.f64 (+.f64 a #s(literal 1 binary64)) (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64)))
(* (pow b 2) (- 1 (* 3 a)))
(*.f64 b (*.f64 b (fma.f64 a #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 (fma.f64 a (/.f64 (+.f64 a #s(literal 1 binary64)) (*.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 (fma.f64 a (/.f64 (+.f64 a #s(literal 1 binary64)) (*.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 (fma.f64 a (/.f64 (+.f64 a #s(literal 1 binary64)) (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64)))
(* (pow b 2) (- 1 (* 3 a)))
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))
(* (pow b 2) (- 1 (* 3 a)))
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))
(* (pow b 2) (- 1 (* 3 a)))
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))
(* (pow b 2) (- 1 (* 3 a)))
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))
(* (pow b 2) (- 1 (* 3 a)))
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))
(* (pow b 2) (- 1 (* 3 a)))
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))
(* (pow b 2) (- 1 (* 3 a)))
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))
(* (pow b 2) (- 1 (* 3 a)))
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))
(* (pow b 2) (- 1 (* 3 a)))
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))
(* (pow b 2) (- 1 (* 3 a)))
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))
(* (pow b 2) (- 1 (* 3 a)))
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))
(* (pow b 2) (- 1 (* 3 a)))
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))
(pow b 2)
(*.f64 b b)
(+ (* -3 (* a (pow b 2))) (pow b 2))
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))
(+ (* -3 (* a (pow b 2))) (pow b 2))
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))
(+ (* -3 (* a (pow b 2))) (pow b 2))
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))
(* -3 (* a (pow b 2)))
(*.f64 b (*.f64 b (*.f64 a #s(literal -3 binary64))))
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))
(* -3 (* a (pow b 2)))
(*.f64 b (*.f64 b (*.f64 a #s(literal -3 binary64))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))

eval86.0ms (0.6%)

Memory
-17.7MiB live, 183.4MiB allocated
Compiler

Compiled 44 750 to 2 436 computations (94.6% saved)

prune77.0ms (0.6%)

Memory
7.6MiB live, 169.1MiB allocated
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New56911580
Fresh000
Picked101
Done000
Total57011581
Accuracy
100.0%
Counts
581 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.6%
(-.f64 (fma.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))) #s(literal 4 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))) #s(literal 1 binary64))
78.2%
(-.f64 (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.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))
75.6%
(-.f64 (/.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)) (*.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))))))) #s(literal 1 binary64))
74.5%
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
41.3%
(-.f64 (+.f64 (/.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 #s(literal 4 binary64) (+.f64 (*.f64 (*.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))
41.3%
(-.f64 (+.f64 (/.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 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
72.3%
(-.f64 (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))) #s(literal 1 binary64))
63.6%
(-.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.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))) #s(literal 1 binary64))
65.7%
(-.f64 (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) #s(literal 1 binary64))
72.0%
(-.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 1 binary64))
64.6%
(-.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1 binary64))
Compiler

Compiled 644 to 322 computations (50% saved)

simplify842.0ms (6.2%)

Memory
14.7MiB live, 945.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))))))
cost-diff128
(-.f64 (/.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)) (*.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))))))) #s(literal 1 binary64))
cost-diff192
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a)))))
cost-diff1408
(/.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)) (*.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a)))))))
cost-diff0
(*.f64 a (*.f64 a a))
cost-diff0
(*.f64 a (*.f64 a (*.f64 a a)))
cost-diff128
(-.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.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))) #s(literal 1 binary64))
cost-diff1856
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.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)))
cost-diff0
(fma.f64 b b #s(literal 4 binary64))
cost-diff0
(*.f64 b b)
cost-diff0
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))
cost-diff128
(-.f64 (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))) #s(literal 1 binary64))
cost-diff0
(*.f64 a a)
cost-diff0
(*.f64 a (*.f64 a a))
cost-diff0
(*.f64 a (*.f64 a (*.f64 a a)))
cost-diff128
(-.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1 binary64))
cost-diff0
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.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)))))
cost-diff128
(-.f64 (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.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))
cost-diff192
(fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))
cost-diff640
(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)))
Rules
28 210×accelerator-lowering-fma.f32
28 210×accelerator-lowering-fma.f64
5 914×+-lowering-+.f64
5 914×+-lowering-+.f32
3 532×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047518
1159494
2502486
31503486
43979458
55732458
08133400
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(- (+ (* (* a a) (+ (* a a) (+ (* 4 a) 4))) (* (* b b) (+ (* 4 (+ (* a -3) 1)) (* 2 (* a a))))) 1)
(+ (* (* a a) (+ (* a a) (+ (* 4 a) 4))) (* (* b b) (+ (* 4 (+ (* a -3) 1)) (* 2 (* a a)))))
(* a a)
a
(+ (* a a) (+ (* 4 a) 4))
(+ (* 4 a) 4)
4
(* (* b b) (+ (* 4 (+ (* a -3) 1)) (* 2 (* a a))))
(* b b)
b
(+ (* 4 (+ (* a -3) 1)) (* 2 (* a a)))
(+ (* a -3) 1)
-3
1
(* 2 (* a a))
2
(- (* a (* a (* a a))) 1)
(* a (* a (* a a)))
a
(* a (* a a))
(* a a)
1
(- (* (* b b) (+ (* b b) 4)) 1)
(* (* b b) (+ (* b b) 4))
(* b b)
b
(+ (* b b) 4)
4
1
(- (* (* a (* a (* a a))) (+ 1 (/ (+ 4 (/ (+ (* b (* b 2)) 4) a)) a))) 1)
(* (* a (* a (* a a))) (+ 1 (/ (+ 4 (/ (+ (* b (* b 2)) 4) a)) a)))
(* a (* a (* a a)))
a
(* a (* a a))
(* a a)
(+ 1 (/ (+ 4 (/ (+ (* b (* b 2)) 4) a)) a))
1
(/ (+ 4 (/ (+ (* b (* b 2)) 4) a)) a)
(+ 4 (/ (+ (* b (* b 2)) 4) a))
4
(/ (+ (* b (* b 2)) 4) a)
(+ (* b (* b 2)) 4)
b
(* b 2)
2
(- (/ 1 (/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a))))))) 1)
(/ 1 (/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a)))))))
1
(/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a))))))
(+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a)))))
(+ (* a a) (* b b))
a
(* b b)
b
(* 4 (+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a))))
4
(+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a)))
(* b (+ (* a -3) 1))
(+ (* a -3) 1)
-3
(* a (+ (* a a) a))
(+ (* a a) a)
Outputs
(- (+ (* (* a a) (+ (* a a) (+ (* 4 a) 4))) (* (* b b) (+ (* 4 (+ (* a -3) 1)) (* 2 (* a a))))) 1)
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))
(+ (* (* a a) (+ (* a a) (+ (* 4 a) 4))) (* (* b b) (+ (* 4 (+ (* a -3) 1)) (* 2 (* a a)))))
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64))))
(* a a)
(*.f64 a a)
a
(+ (* a a) (+ (* 4 a) 4))
(fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))
(+ (* 4 a) 4)
(fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))
4
#s(literal 4 binary64)
(* (* b b) (+ (* 4 (+ (* a -3) 1)) (* 2 (* a a))))
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64)))
(* b b)
(*.f64 b b)
b
(+ (* 4 (+ (* a -3) 1)) (* 2 (* a a)))
(fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64))
(+ (* a -3) 1)
(fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))
-3
#s(literal -3 binary64)
1
#s(literal 1 binary64)
(* 2 (* a a))
(*.f64 (*.f64 a a) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(- (* a (* a (* a a))) 1)
(fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1 binary64))
(* a (* a (* a a)))
(*.f64 a (*.f64 a (*.f64 a a)))
a
(* a (* a a))
(*.f64 a (*.f64 a a))
(* a a)
(*.f64 a a)
1
#s(literal 1 binary64)
(- (* (* b b) (+ (* b b) 4)) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(* (* b b) (+ (* b b) 4))
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))
(* b b)
(*.f64 b b)
b
(+ (* b b) 4)
(fma.f64 b b #s(literal 4 binary64))
4
#s(literal 4 binary64)
1
#s(literal 1 binary64)
(- (* (* a (* a (* a a))) (+ 1 (/ (+ 4 (/ (+ (* b (* b 2)) 4) a)) a))) 1)
(fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))
(* (* a (* a (* a a))) (+ 1 (/ (+ 4 (/ (+ (* b (* b 2)) 4) a)) a)))
(*.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))
(* a (* a (* a a)))
(*.f64 a (*.f64 a (*.f64 a a)))
a
(* a (* a a))
(*.f64 a (*.f64 a a))
(* a a)
(*.f64 a a)
(+ 1 (/ (+ 4 (/ (+ (* b (* b 2)) 4) a)) a))
(+.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))
1
#s(literal 1 binary64)
(/ (+ 4 (/ (+ (* b (* b 2)) 4) a)) a)
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)
(+ 4 (/ (+ (* b (* b 2)) 4) a))
(+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) a))
4
#s(literal 4 binary64)
(/ (+ (* b (* b 2)) 4) a)
(/.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) a)
(+ (* b (* b 2)) 4)
(fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))
b
(* b 2)
(*.f64 b #s(literal 2 binary64))
2
#s(literal 2 binary64)
(- (/ 1 (/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a))))))) 1)
(fma.f64 b (*.f64 b (*.f64 b b)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))))
(/ 1 (/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a)))))))
(fma.f64 b (*.f64 b (*.f64 b b)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64)))))
1
#s(literal 1 binary64)
(/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a))))))
(/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64))))))
(+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a)))))
(fma.f64 b (*.f64 b (*.f64 b b)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64)))))
(+ (* a a) (* b b))
(fma.f64 b b (*.f64 a a))
a
(* b b)
(*.f64 b b)
b
(* 4 (+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a))))
(fma.f64 a (*.f64 a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) (*.f64 b (*.f64 b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))))
4
#s(literal 4 binary64)
(+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a)))
(fma.f64 a (fma.f64 a a a) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))))
(* b (+ (* a -3) 1))
(*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))
(+ (* a -3) 1)
(fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))
-3
#s(literal -3 binary64)
(* a (+ (* a a) a))
(*.f64 a (fma.f64 a a a))
(+ (* a a) a)
(fma.f64 a a a)

localize250.0ms (1.8%)

Memory
-11.1MiB live, 234.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))))))
accuracy99.5%
(/.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)) (*.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a)))))))
accuracy89.9%
(fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a)))
accuracy83.7%
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a)))))
accuracy99.8%
(*.f64 a (*.f64 a a))
accuracy96.9%
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)
accuracy93.8%
(/.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) a)
accuracy61.1%
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.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)))
accuracy100.0%
(fma.f64 b b #s(literal 4 binary64))
accuracy100.0%
(-.f64 (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))) #s(literal 1 binary64))
accuracy100.0%
(*.f64 b b)
accuracy99.9%
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))
accuracy100.0%
(-.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1 binary64))
accuracy100.0%
(*.f64 a a)
accuracy99.9%
(*.f64 a (*.f64 a (*.f64 a a)))
accuracy99.8%
(*.f64 a (*.f64 a a))
accuracy100.0%
(*.f64 #s(literal 2 binary64) (*.f64 a a))
accuracy100.0%
(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)))
accuracy99.9%
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.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)))))
accuracy87.4%
(*.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))))
Samples
166.0ms239×0valid
8.0ms10×2valid
4.0ms1valid
Compiler

Compiled 479 to 49 computations (89.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 145.0ms
ival-mult: 64.0ms (44% of total)
ival-sub: 58.0ms (39.9% of total)
ival-add: 15.0ms (10.3% of total)
ival-div: 7.0ms (4.8% of total)
adjust: 2.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series53.0ms (0.4%)

Memory
-3.2MiB live, 73.7MiB allocated
Counts
23 → 420
Calls
Call 1
Inputs
#<alt (+ (* 4 (+ (* a -3) 1)) (* 2 (* a a)))>
#<alt (+ (* a a) (+ (* 4 a) 4))>
#<alt (- (+ (* (* a a) (+ (* a a) (+ (* 4 a) 4))) (* (* b b) (+ (* 4 (+ (* a -3) 1)) (* 2 (* a a))))) 1)>
#<alt (+ (* (* a a) (+ (* a a) (+ (* 4 a) 4))) (* (* b b) (+ (* 4 (+ (* a -3) 1)) (* 2 (* a a)))))>
#<alt (- (* a (* a (* a a))) 1)>
#<alt (* a (* a (* a a)))>
#<alt (* a (* a a))>
#<alt (* a a)>
#<alt (- (* (* b b) (+ (* b b) 4)) 1)>
#<alt (* (* b b) (+ (* b b) 4))>
#<alt (* b b)>
#<alt (+ (* b b) 4)>
#<alt (* (* a (* a (* a a))) (+ 1 (/ (+ 4 (/ (+ (* b (* b 2)) 4) a)) a)))>
#<alt (- (* (* a (* a (* a a))) (+ 1 (/ (+ 4 (/ (+ (* b (* b 2)) 4) a)) a))) 1)>
#<alt (/ 1 (/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a)))))))>
#<alt (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a)))))>
#<alt (- (/ 1 (/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a))))))) 1)>
#<alt (/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a))))))>
#<alt (* (* b b) (+ (* 4 (+ (* a -3) 1)) (* 2 (* a a))))>
#<alt (* 2 (* a a))>
#<alt (/ (+ (* b (* b 2)) 4) a)>
#<alt (/ (+ 4 (/ (+ (* b (* b 2)) 4) a)) a)>
#<alt (+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a)))>
Outputs
#<alt 4>
#<alt (+ 4 (* -12 a))>
#<alt (+ 4 (* a (- (* 2 a) 12)))>
#<alt (+ 4 (* a (- (* 2 a) 12)))>
#<alt (* 2 (pow a 2))>
#<alt (* (pow a 2) (- 2 (* 12 (/ 1 a))))>
#<alt (* (pow a 2) (- (+ 2 (/ 4 (pow a 2))) (* 12 (/ 1 a))))>
#<alt (* (pow a 2) (- (+ 2 (/ 4 (pow a 2))) (* 12 (/ 1 a))))>
#<alt (* 2 (pow a 2))>
#<alt (* (pow a 2) (- 2 (* 12 (/ 1 a))))>
#<alt (* (pow a 2) (+ 2 (* -1 (/ (- 12 (* 4 (/ 1 a))) a))))>
#<alt (* (pow a 2) (+ 2 (* -1 (/ (- 12 (* 4 (/ 1 a))) a))))>
#<alt 4>
#<alt (+ 4 (* 4 a))>
#<alt (+ 4 (* a (+ 4 a)))>
#<alt (+ 4 (* a (+ 4 a)))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))>
#<alt (- (* 4 (pow b 2)) 1)>
#<alt (- (+ (* -12 (* a (pow b 2))) (* 4 (pow b 2))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a))))))) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))>
#<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)))))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))>
#<alt (- (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) 1)>
#<alt (- (+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) 1)>
#<alt (- (+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) 1)>
#<alt (- (+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) 1)>
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))>
#<alt (* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))>
#<alt (* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))>
#<alt (* 4 (pow b 2))>
#<alt (+ (* -12 (* a (pow b 2))) (* 4 (pow b 2)))>
#<alt (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))))>
#<alt (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))>
#<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)))))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))>
#<alt (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2))))>
#<alt (+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))))>
#<alt (+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))))>
#<alt (+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))))>
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))>
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))))>
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))))>
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))))>
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#<alt (/ (+ 1 (* -1 (/ (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (pow b 2)))) (pow b 4))>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) 2)) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4))) (pow b 4)))) (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))) (pow b 4))>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ (* -1 (pow (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) 2)) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4))) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) (* -1 (* (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4))))) (pow b 6)))) (+ (* -1 (/ (pow (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) 2) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) (pow b 4))>
#<alt (/ 1 (pow b 4))>
#<alt (/ (+ 1 (* -1 (/ (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (pow b 2)))) (pow b 4))>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) 2)) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4))) (pow b 4)))) (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))) (pow b 4))>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ (* -1 (pow (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) 2)) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4))) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) (* -1 (* (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4))))) (pow b 6)))) (+ (* -1 (/ (pow (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) 2) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) (pow b 4))>
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))>
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))>
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))>
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))>
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))>
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))>
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))>
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))>
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))>
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))>
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))>
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))>
#<alt (* 4 (pow b 2))>
#<alt (+ (* -12 (* a (pow b 2))) (* 4 (pow b 2)))>
#<alt (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* 2 (* a (pow b 2))))))>
#<alt (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* 2 (* a (pow b 2))))))>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))>
#<alt (* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) (pow a 2))))))>
#<alt (* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) (pow a 2))))))>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -4 (/ (pow b 2) a)) (* 12 (pow b 2))) a)) (* 2 (pow b 2))))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -4 (/ (pow b 2) a)) (* 12 (pow b 2))) a)) (* 2 (pow b 2))))>
#<alt (* 2 (pow a 2))>
#<alt (* 2 (pow a 2))>
#<alt (* 2 (pow a 2))>
#<alt (* 2 (pow a 2))>
#<alt (* 2 (pow a 2))>
#<alt (* 2 (pow a 2))>
#<alt (* 2 (pow a 2))>
#<alt (* 2 (pow a 2))>
#<alt (* 2 (pow a 2))>
#<alt (* 2 (pow a 2))>
#<alt (* 2 (pow a 2))>
#<alt (* 2 (pow a 2))>
#<alt (/ 4 a)>
#<alt (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))>
#<alt (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))>
#<alt (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))>
#<alt (* 2 (/ (pow b 2) a))>
#<alt (* (pow b 2) (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* a (pow b 2))))))>
#<alt (* (pow b 2) (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* a (pow b 2))))))>
#<alt (* (pow b 2) (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* a (pow b 2))))))>
#<alt (* 2 (/ (pow b 2) a))>
#<alt (* (pow b 2) (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* a (pow b 2))))))>
#<alt (* (pow b 2) (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* a (pow b 2))))))>
#<alt (* (pow b 2) (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* a (pow b 2))))))>
#<alt (/ (+ 4 (* 2 (pow b 2))) a)>
#<alt (/ (+ 4 (* 2 (pow b 2))) a)>
#<alt (/ (+ 4 (* 2 (pow b 2))) a)>
#<alt (/ (+ 4 (* 2 (pow b 2))) a)>
#<alt (/ (+ 4 (* 2 (pow b 2))) a)>
#<alt (/ (+ 4 (* 2 (pow b 2))) a)>
#<alt (/ (+ 4 (* 2 (pow b 2))) a)>
#<alt (/ (+ 4 (* 2 (pow b 2))) a)>
#<alt (/ (+ 4 (* 2 (pow b 2))) a)>
#<alt (/ (+ 4 (* 2 (pow b 2))) a)>
#<alt (/ (+ 4 (* 2 (pow b 2))) a)>
#<alt (/ (+ 4 (* 2 (pow b 2))) a)>
#<alt (/ (+ 4 (* 4 (/ 1 a))) a)>
#<alt (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))>
#<alt (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))>
#<alt (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))>
#<alt (* 2 (/ (pow b 2) (pow a 2)))>
#<alt (* (pow b 2) (+ (* 2 (/ 1 (pow a 2))) (+ (/ 4 (* a (pow b 2))) (/ 4 (* (pow a 2) (pow b 2))))))>
#<alt (* (pow b 2) (+ (* 2 (/ 1 (pow a 2))) (+ (/ 4 (* a (pow b 2))) (/ 4 (* (pow a 2) (pow b 2))))))>
#<alt (* (pow b 2) (+ (* 2 (/ 1 (pow a 2))) (+ (/ 4 (* a (pow b 2))) (/ 4 (* (pow a 2) (pow b 2))))))>
#<alt (* 2 (/ (pow b 2) (pow a 2)))>
#<alt (* (pow b 2) (+ (* 2 (/ 1 (pow a 2))) (+ (/ 4 (* a (pow b 2))) (/ 4 (* (pow a 2) (pow b 2))))))>
#<alt (* (pow b 2) (+ (* 2 (/ 1 (pow a 2))) (+ (/ 4 (* a (pow b 2))) (/ 4 (* (pow a 2) (pow b 2))))))>
#<alt (* (pow b 2) (+ (* 2 (/ 1 (pow a 2))) (+ (/ 4 (* a (pow b 2))) (/ 4 (* (pow a 2) (pow b 2))))))>
#<alt (/ (+ 4 (* 2 (pow b 2))) (pow a 2))>
#<alt (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 a))) (pow a 2))>
#<alt (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 a))) (pow a 2))>
#<alt (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 a))) (pow a 2))>
#<alt (/ 4 a)>
#<alt (/ (+ 4 (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))) a)>
#<alt (/ (+ 4 (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))) a)>
#<alt (/ (+ 4 (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))) a)>
#<alt (/ 4 a)>
#<alt (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))>
#<alt (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))>
#<alt (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))>
#<alt (* a (+ a (pow a 2)))>
#<alt (+ (* a (+ a (pow a 2))) (* (pow b 2) (+ 1 (* -3 a))))>
#<alt (+ (* a (+ a (pow a 2))) (* (pow b 2) (+ 1 (* -3 a))))>
#<alt (+ (* a (+ a (pow a 2))) (* (pow b 2) (+ 1 (* -3 a))))>
#<alt (* (pow b 2) (+ 1 (* -3 a)))>
#<alt (* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -3 a)))>
#<alt (* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (+ (* -3 (* a (pow b 2))) (pow b 2))>
#<alt (+ (* a (+ a (* -3 (pow b 2)))) (pow b 2))>
#<alt (+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2))>
#<alt (pow a 3)>
#<alt (* (pow a 3) (+ 1 (/ 1 a)))>
#<alt (* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a))))>
#<alt (* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3))))))>
#<alt (pow a 3)>
#<alt (* (pow a 3) (+ 1 (/ 1 a)))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1)))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1)))>
Calls

105 calls:

TimeVariablePointExpression
17.0ms
b
@inf
(* (* b b) (+ (* 4 (+ (* a -3) 1)) (* 2 (* a a))))
4.0ms
b
@0
(- (+ (* (* a a) (+ (* a a) (+ (* 4 a) 4))) (* (* b b) (+ (* 4 (+ (* a -3) 1)) (* 2 (* a a))))) 1)
2.0ms
b
@0
(- (* (* a (* a (* a a))) (+ 1 (/ (+ 4 (/ (+ (* b (* b 2)) 4) a)) a))) 1)
2.0ms
b
@0
(* (* a (* a (* a a))) (+ 1 (/ (+ 4 (/ (+ (* b (* b 2)) 4) a)) a)))
1.0ms
b
@0
(/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a))))))

rewrite879.0ms (6.5%)

Memory
11.8MiB live, 1 391.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
8 278×*-lowering-*.f32
8 278×*-lowering-*.f64
7 762×accelerator-lowering-fma.f32
7 762×accelerator-lowering-fma.f64
4 140×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047357
1381335
23826335
011688288
Stop Event
iter limit
node limit
Counts
23 → 1 119
Calls
Call 1
Inputs
(+ (* 4 (+ (* a -3) 1)) (* 2 (* a a)))
(+ (* a a) (+ (* 4 a) 4))
(- (+ (* (* a a) (+ (* a a) (+ (* 4 a) 4))) (* (* b b) (+ (* 4 (+ (* a -3) 1)) (* 2 (* a a))))) 1)
(+ (* (* a a) (+ (* a a) (+ (* 4 a) 4))) (* (* b b) (+ (* 4 (+ (* a -3) 1)) (* 2 (* a a)))))
(- (* a (* a (* a a))) 1)
(* a (* a (* a a)))
(* a (* a a))
(* a a)
(- (* (* b b) (+ (* b b) 4)) 1)
(* (* b b) (+ (* b b) 4))
(* b b)
(+ (* b b) 4)
(* (* a (* a (* a a))) (+ 1 (/ (+ 4 (/ (+ (* b (* b 2)) 4) a)) a)))
(- (* (* a (* a (* a a))) (+ 1 (/ (+ 4 (/ (+ (* b (* b 2)) 4) a)) a))) 1)
(/ 1 (/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a)))))))
(+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a)))))
(- (/ 1 (/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a))))))) 1)
(/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a))))))
(* (* b b) (+ (* 4 (+ (* a -3) 1)) (* 2 (* a a))))
(* 2 (* a a))
(/ (+ (* b (* b 2)) 4) a)
(/ (+ 4 (/ (+ (* b (* b 2)) 4) a)) a)
(+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a)))
Outputs
(+.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 a a)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))
(+.f64 (*.f64 a #s(literal -12 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a a))))
(+.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 a #s(literal -12 binary64))) #s(literal 4 binary64))
(-.f64 (/.f64 (*.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (+.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 a a)))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 a a)))))
(fma.f64 #s(literal 4 binary64) (*.f64 a #s(literal -3 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a a))))
(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)))
(fma.f64 a (*.f64 a #s(literal 2 binary64)) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))
(fma.f64 a #s(literal -12 binary64) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a a))))
(fma.f64 #s(literal -3 binary64) (*.f64 #s(literal 4 binary64) a) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a a))))
(fma.f64 (*.f64 a #s(literal -3 binary64)) #s(literal 4 binary64) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a a))))
(fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a a)))
(fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))
(fma.f64 (*.f64 #s(literal 4 binary64) a) #s(literal -3 binary64) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a a))))
(fma.f64 (*.f64 a #s(literal 2 binary64)) a (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))
(fma.f64 #s(literal -12 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))) (fma.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (*.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 a a))) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (+.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 a a))))))
(/.f64 (fma.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (*.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 8 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))))
(/.f64 (fma.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (*.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 8 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 (*.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 a a))))))
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (+.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 a a)))) (+.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 a a))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (*.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 8 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (+.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 a a))))) (neg.f64 (+.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 a a)))))
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))))
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))) (fma.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (*.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 8 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 a a))) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (+.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 a a))))) #s(literal -1 binary64))
(*.f64 (fma.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (*.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))))))
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (+.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 a a)))))
(+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 a #s(literal 4 binary64))))
(+.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))
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(/.f64 (fma.f64 (*.f64 a (fma.f64 a (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (-.f64 (fma.f64 (*.f64 a a) #s(literal 9 binary64) #s(literal 1 binary64)) (*.f64 a #s(literal -3 binary64))) (*.f64 (fma.f64 a (-.f64 a (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b b) (fma.f64 (*.f64 a (*.f64 a a)) #s(literal -27 binary64) #s(literal 1 binary64))))) (*.f64 (fma.f64 a (-.f64 a (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))) (-.f64 (fma.f64 (*.f64 a a) #s(literal 9 binary64) #s(literal 1 binary64)) (*.f64 a #s(literal -3 binary64)))))
(/.f64 (fma.f64 (*.f64 a (fma.f64 a (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (fma.f64 a #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 a (-.f64 a (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b b) (fma.f64 (*.f64 a a) #s(literal 9 binary64) #s(literal -1 binary64))))) (*.f64 (fma.f64 a (-.f64 a (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 a #s(literal -3 binary64) #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 a (*.f64 a (-.f64 (*.f64 a (*.f64 a a)) a))) (-.f64 (fma.f64 (*.f64 a a) #s(literal 9 binary64) #s(literal 1 binary64)) (*.f64 a #s(literal -3 binary64))) (*.f64 (-.f64 (*.f64 a a) a) (*.f64 (*.f64 b b) (fma.f64 (*.f64 a (*.f64 a a)) #s(literal -27 binary64) #s(literal 1 binary64))))) (*.f64 (-.f64 (*.f64 a a) a) (-.f64 (fma.f64 (*.f64 a a) #s(literal 9 binary64) #s(literal 1 binary64)) (*.f64 a #s(literal -3 binary64)))))
(/.f64 (fma.f64 (*.f64 a (*.f64 a (-.f64 (*.f64 a (*.f64 a a)) a))) (fma.f64 a #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 (-.f64 (*.f64 a a) a) (*.f64 (*.f64 b b) (fma.f64 (*.f64 a a) #s(literal 9 binary64) #s(literal -1 binary64))))) (*.f64 (-.f64 (*.f64 a a) a) (fma.f64 a #s(literal -3 binary64) #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) a) (-.f64 (fma.f64 (*.f64 a a) #s(literal 9 binary64) #s(literal 1 binary64)) (*.f64 a #s(literal -3 binary64))) (*.f64 (fma.f64 a (-.f64 a (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b b) (fma.f64 (*.f64 a (*.f64 a a)) #s(literal -27 binary64) #s(literal 1 binary64))))) (*.f64 (fma.f64 a (-.f64 a (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))) (-.f64 (fma.f64 (*.f64 a a) #s(literal 9 binary64) #s(literal 1 binary64)) (*.f64 a #s(literal -3 binary64)))))
(/.f64 (fma.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) a) (fma.f64 a #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 a (-.f64 a (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b b) (fma.f64 (*.f64 a a) #s(literal 9 binary64) #s(literal -1 binary64))))) (*.f64 (fma.f64 a (-.f64 a (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 a #s(literal -3 binary64) #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 a (-.f64 (*.f64 a (*.f64 a a)) a)) a) (-.f64 (fma.f64 (*.f64 a a) #s(literal 9 binary64) #s(literal 1 binary64)) (*.f64 a #s(literal -3 binary64))) (*.f64 (-.f64 (*.f64 a a) a) (*.f64 (*.f64 b b) (fma.f64 (*.f64 a (*.f64 a a)) #s(literal -27 binary64) #s(literal 1 binary64))))) (*.f64 (-.f64 (*.f64 a a) a) (-.f64 (fma.f64 (*.f64 a a) #s(literal 9 binary64) #s(literal 1 binary64)) (*.f64 a #s(literal -3 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 a (-.f64 (*.f64 a (*.f64 a a)) a)) a) (fma.f64 a #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 (-.f64 (*.f64 a a) a) (*.f64 (*.f64 b b) (fma.f64 (*.f64 a a) #s(literal 9 binary64) #s(literal -1 binary64))))) (*.f64 (-.f64 (*.f64 a a) a) (fma.f64 a #s(literal -3 binary64) #s(literal -1 binary64))))
(pow.f64 (/.f64 (fma.f64 b (*.f64 (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) b) (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b))) (*.f64 (*.f64 a (fma.f64 a a a)) (-.f64 (*.f64 a (fma.f64 a a a)) (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b))))) (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (fma.f64 a a a) (*.f64 (fma.f64 a a a) (fma.f64 a a a))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b)) (*.f64 a (fma.f64 a a a))) (*.f64 (fma.f64 a (fma.f64 a a a) (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b))) (-.f64 (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b)) (*.f64 a (fma.f64 a a a))))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (fma.f64 a a a) (*.f64 (fma.f64 a a a) (fma.f64 a a a))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) b) (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b))) (*.f64 (*.f64 a (fma.f64 a a a)) (-.f64 (*.f64 a (fma.f64 a a a)) (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b)))))))
(*.f64 (*.f64 (fma.f64 a (fma.f64 a a a) (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b))) (-.f64 (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b)) (*.f64 a (fma.f64 a a a)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b)) (*.f64 a (fma.f64 a a a)))))

simplify500.0ms (3.7%)

Memory
-9.1MiB live, 754.9MiB allocated
Algorithm
egg-herbie
Rules
11 728×accelerator-lowering-fma.f32
11 728×accelerator-lowering-fma.f64
4 934×*-lowering-*.f32
4 934×*-lowering-*.f64
4 258×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04197649
113727328
248536934
083156288
Stop Event
iter limit
node limit
Counts
420 → 420
Calls
Call 1
Inputs
4
(+ 4 (* -12 a))
(+ 4 (* a (- (* 2 a) 12)))
(+ 4 (* a (- (* 2 a) 12)))
(* 2 (pow a 2))
(* (pow a 2) (- 2 (* 12 (/ 1 a))))
(* (pow a 2) (- (+ 2 (/ 4 (pow a 2))) (* 12 (/ 1 a))))
(* (pow a 2) (- (+ 2 (/ 4 (pow a 2))) (* 12 (/ 1 a))))
(* 2 (pow a 2))
(* (pow a 2) (- 2 (* 12 (/ 1 a))))
(* (pow a 2) (+ 2 (* -1 (/ (- 12 (* 4 (/ 1 a))) a))))
(* (pow a 2) (+ 2 (* -1 (/ (- 12 (* 4 (/ 1 a))) a))))
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)) 1)
(- (+ (* -12 (* a (pow b 2))) (* 4 (pow b 2))) 1)
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))))) 1)
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a))))))) 1)
(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))))
(- (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) 1)
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(* 4 (pow b 2))
(+ (* -12 (* a (pow b 2))) (* 4 (pow b 2)))
(+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))))
(+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))))
(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))))
(* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2))))
(+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))))
(+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))))
(+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))))
-1
(- (pow a 4) 1)
(- (pow a 4) 1)
(- (pow a 4) 1)
(pow a 4)
(* (pow a 4) (- 1 (/ 1 (pow a 4))))
(* (pow a 4) (- 1 (/ 1 (pow a 4))))
(* (pow a 4) (- 1 (/ 1 (pow a 4))))
(pow a 4)
(* (pow a 4) (- 1 (/ 1 (pow a 4))))
(* (pow a 4) (- 1 (/ 1 (pow a 4))))
(* (pow a 4) (- 1 (/ 1 (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 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)
-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)))))
(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
(+ 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)))))
(* (pow a 2) (+ 4 (* 2 (pow b 2))))
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* 4 a))))
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a)))))
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a)))))
(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 (+ (* 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 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2))))))
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))))))
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))))))
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))))))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))))) (pow b 2))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))))) (pow b 2))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))))) (pow b 2))))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))))) (pow b 2))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))))) (pow b 2))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))))) (pow b 2))))
-1
(- (* (pow a 2) (+ 4 (* 2 (pow b 2)))) 1)
(- (* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))) 1)
(- (* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 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 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- (+ 4 (* 2 (pow b 2))) (/ 1 (pow a 2))) a)) 4) a))))
(- (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))))) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2))))))) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2))))))) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2))))))) 1)
(* 2 (* (pow a 2) (pow b 2)))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))))) (pow b 2))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))))) (pow b 2))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))))) (pow b 2))) (/ 1 (pow b 2))))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))))) (pow b 2))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))))) (pow b 2))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))))) (pow b 2))) (/ 1 (pow b 2))))
(+ (* 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 (* a (+ a (pow a 2)))) (pow a 4))
(+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (pow a 4)))
(+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) (pow a 4)))
(+ (* 4 (* a (+ a (pow a 2)))) (+ (* (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 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(+ (* 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 (* a (+ a (pow a 2)))) (pow a 4))
(+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (pow a 4)))
(+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) (pow a 4)))
(+ (* 4 (* a (+ a (pow a 2)))) (+ (* (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 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(- (+ (* 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 (* a (+ a (pow a 2)))) (pow a 4)) 1)
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(/ 1 (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 12 (/ (* a (pow b 2)) (pow (+ (* 4 (pow b 2)) (pow b 4)) 2))) (/ 1 (+ (* 4 (pow b 2)) (pow b 4))))
(+ (* a (- (* -1 (* a (+ (* -144 (/ (pow b 4) (pow (+ (* 4 (pow b 2)) (pow b 4)) 3))) (+ (* 2 (/ (pow b 2) (pow (+ (* 4 (pow b 2)) (pow b 4)) 2))) (* 4 (/ 1 (pow (+ (* 4 (pow b 2)) (pow b 4)) 2))))))) (* -12 (/ (pow b 2) (pow (+ (* 4 (pow b 2)) (pow b 4)) 2))))) (/ 1 (+ (* 4 (pow b 2)) (pow b 4))))
(+ (* a (- (* a (- (* -1 (* a (+ (* 4 (/ 1 (pow (+ (* 4 (pow b 2)) (pow b 4)) 2))) (+ (* 12 (/ (* (pow b 2) (+ 4 (* 2 (pow b 2)))) (pow (+ (* 4 (pow b 2)) (pow b 4)) 3))) (* 12 (/ (* (pow b 2) (+ (* -144 (/ (pow b 4) (pow (+ (* 4 (pow b 2)) (pow b 4)) 3))) (+ (* 2 (/ (pow b 2) (pow (+ (* 4 (pow b 2)) (pow b 4)) 2))) (* 4 (/ 1 (pow (+ (* 4 (pow b 2)) (pow b 4)) 2)))))) (+ (* 4 (pow b 2)) (pow b 4)))))))) (+ (* -144 (/ (pow b 4) (pow (+ (* 4 (pow b 2)) (pow b 4)) 3))) (+ (* 2 (/ (pow b 2) (pow (+ (* 4 (pow b 2)) (pow b 4)) 2))) (* 4 (/ 1 (pow (+ (* 4 (pow b 2)) (pow b 4)) 2))))))) (* -12 (/ (pow b 2) (pow (+ (* 4 (pow b 2)) (pow b 4)) 2))))) (/ 1 (+ (* 4 (pow b 2)) (pow b 4))))
(/ 1 (pow a 4))
(/ (- 1 (* 4 (/ 1 a))) (pow a 4))
(/ (- (+ 1 (/ 12 (pow a 2))) (+ (* 2 (/ (pow b 2) (pow a 2))) (* 4 (/ 1 a)))) (pow a 4))
(/ (- (+ 1 (+ (* -1 (/ (+ (* -12 (pow b 2)) (+ (* -4 (+ 4 (* 2 (pow b 2)))) (* 4 (- 12 (* 2 (pow b 2)))))) (pow a 3))) (/ 12 (pow a 2)))) (+ (* 2 (/ (pow b 2) (pow a 2))) (* 4 (/ 1 a)))) (pow a 4))
(/ 1 (pow a 4))
(/ (- 1 (* 4 (/ 1 a))) (pow a 4))
(/ (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 12 (* 2 (pow b 2))) a))) a))) (pow a 4))
(/ (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- (+ 12 (+ (* -4 (/ (- 12 (* 2 (pow b 2))) a)) (+ (* 4 (/ (+ 4 (* 2 (pow b 2))) a)) (* 12 (/ (pow b 2) a))))) (* 2 (pow b 2))) a))) a))) (pow a 4))
(/ 1 (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)))
(+ (* -1 (* (pow b 2) (+ (* 2 (/ (pow a 2) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2)))))) (/ 1 (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4))))
(+ (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1 (/ (* (+ (* 2 (/ (pow a 2) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2)))) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)))) (/ 1 (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2))))) (+ (* 2 (/ (pow a 2) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2)))))) (/ 1 (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4))))
(+ (* (pow b 2) (- (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (/ (pow a 2) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2)))) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)))) (/ 1 (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2))) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)))) (* -1 (/ (+ (* 2 (/ (pow a 2) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2)))) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4))))))) (+ (* -1 (/ (* (+ (* 2 (/ (pow a 2) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2)))) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)))) (/ 1 (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2))))) (+ (* 2 (/ (pow a 2) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2)))))) (/ 1 (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4))))
(/ 1 (pow b 4))
(/ (+ 1 (* -1 (/ (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (pow b 2)))) (pow b 4))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) 2)) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4))) (pow b 4)))) (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))) (pow b 4))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ (* -1 (pow (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) 2)) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4))) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) (* -1 (* (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4))))) (pow b 6)))) (+ (* -1 (/ (pow (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) 2) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) (pow b 4))
(/ 1 (pow b 4))
(/ (+ 1 (* -1 (/ (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (pow b 2)))) (pow b 4))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) 2)) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4))) (pow b 4)))) (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))) (pow b 4))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ (* -1 (pow (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) 2)) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4))) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) (* -1 (* (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4))))) (pow b 6)))) (+ (* -1 (/ (pow (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) 2) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) (pow b 4))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* 4 (pow b 2))
(+ (* -12 (* a (pow b 2))) (* 4 (pow b 2)))
(+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* 2 (* a (pow b 2))))))
(+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* 2 (* a (pow b 2))))))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) (pow a 2))))))
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) (pow a 2))))))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 (/ (pow b 2) a)) (* 12 (pow b 2))) a)) (* 2 (pow b 2))))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 (/ (pow b 2) a)) (* 12 (pow b 2))) a)) (* 2 (pow b 2))))
(* 2 (pow a 2))
(* 2 (pow a 2))
(* 2 (pow a 2))
(* 2 (pow a 2))
(* 2 (pow a 2))
(* 2 (pow a 2))
(* 2 (pow a 2))
(* 2 (pow a 2))
(* 2 (pow a 2))
(* 2 (pow a 2))
(* 2 (pow a 2))
(* 2 (pow a 2))
(/ 4 a)
(+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))
(+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))
(+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))
(* 2 (/ (pow b 2) a))
(* (pow b 2) (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* a (pow b 2))))))
(* (pow b 2) (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* a (pow b 2))))))
(* (pow b 2) (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* a (pow b 2))))))
(* 2 (/ (pow b 2) a))
(* (pow b 2) (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* a (pow b 2))))))
(* (pow b 2) (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* a (pow b 2))))))
(* (pow b 2) (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* a (pow b 2))))))
(/ (+ 4 (* 2 (pow b 2))) a)
(/ (+ 4 (* 2 (pow b 2))) a)
(/ (+ 4 (* 2 (pow b 2))) a)
(/ (+ 4 (* 2 (pow b 2))) a)
(/ (+ 4 (* 2 (pow b 2))) a)
(/ (+ 4 (* 2 (pow b 2))) a)
(/ (+ 4 (* 2 (pow b 2))) a)
(/ (+ 4 (* 2 (pow b 2))) a)
(/ (+ 4 (* 2 (pow b 2))) a)
(/ (+ 4 (* 2 (pow b 2))) a)
(/ (+ 4 (* 2 (pow b 2))) a)
(/ (+ 4 (* 2 (pow b 2))) a)
(/ (+ 4 (* 4 (/ 1 a))) a)
(+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))
(+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))
(+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))
(* 2 (/ (pow b 2) (pow a 2)))
(* (pow b 2) (+ (* 2 (/ 1 (pow a 2))) (+ (/ 4 (* a (pow b 2))) (/ 4 (* (pow a 2) (pow b 2))))))
(* (pow b 2) (+ (* 2 (/ 1 (pow a 2))) (+ (/ 4 (* a (pow b 2))) (/ 4 (* (pow a 2) (pow b 2))))))
(* (pow b 2) (+ (* 2 (/ 1 (pow a 2))) (+ (/ 4 (* a (pow b 2))) (/ 4 (* (pow a 2) (pow b 2))))))
(* 2 (/ (pow b 2) (pow a 2)))
(* (pow b 2) (+ (* 2 (/ 1 (pow a 2))) (+ (/ 4 (* a (pow b 2))) (/ 4 (* (pow a 2) (pow b 2))))))
(* (pow b 2) (+ (* 2 (/ 1 (pow a 2))) (+ (/ 4 (* a (pow b 2))) (/ 4 (* (pow a 2) (pow b 2))))))
(* (pow b 2) (+ (* 2 (/ 1 (pow a 2))) (+ (/ 4 (* a (pow b 2))) (/ 4 (* (pow a 2) (pow b 2))))))
(/ (+ 4 (* 2 (pow b 2))) (pow a 2))
(/ (+ 4 (+ (* 2 (pow b 2)) (* 4 a))) (pow a 2))
(/ (+ 4 (+ (* 2 (pow b 2)) (* 4 a))) (pow a 2))
(/ (+ 4 (+ (* 2 (pow b 2)) (* 4 a))) (pow a 2))
(/ 4 a)
(/ (+ 4 (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))) a)
(/ (+ 4 (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))) a)
(/ (+ 4 (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))) a)
(/ 4 a)
(* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))
(* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))
(* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))
(* a (+ a (pow a 2)))
(+ (* a (+ a (pow a 2))) (* (pow b 2) (+ 1 (* -3 a))))
(+ (* a (+ a (pow a 2))) (* (pow b 2) (+ 1 (* -3 a))))
(+ (* a (+ a (pow a 2))) (* (pow b 2) (+ 1 (* -3 a))))
(* (pow b 2) (+ 1 (* -3 a)))
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 a)))
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))
(pow b 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)))
Outputs
4
#s(literal 4 binary64)
(+ 4 (* -12 a))
(fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))
(+ 4 (* a (- (* 2 a) 12)))
(fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64))
(+ 4 (* a (- (* 2 a) 12)))
(fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64))
(* 2 (pow a 2))
(*.f64 #s(literal 2 binary64) (*.f64 a a))
(* (pow a 2) (- 2 (* 12 (/ 1 a))))
(*.f64 a (*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a))))
(* (pow a 2) (- (+ 2 (/ 4 (pow a 2))) (* 12 (/ 1 a))))
(*.f64 (*.f64 a a) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -12 binary64)) #s(literal 2 binary64)))
(* (pow a 2) (- (+ 2 (/ 4 (pow a 2))) (* 12 (/ 1 a))))
(*.f64 (*.f64 a a) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -12 binary64)) #s(literal 2 binary64)))
(* 2 (pow a 2))
(*.f64 #s(literal 2 binary64) (*.f64 a a))
(* (pow a 2) (- 2 (* 12 (/ 1 a))))
(*.f64 a (*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a))))
(* (pow a 2) (+ 2 (* -1 (/ (- 12 (* 4 (/ 1 a))) a))))
(*.f64 (*.f64 a a) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal -4 binary64) a)) a)))
(* (pow a 2) (+ 2 (* -1 (/ (- 12 (* 4 (/ 1 a))) a))))
(*.f64 (*.f64 a a) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal -4 binary64) 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 (fma.f64 (/.f64 #s(literal 4 binary64) a) a a))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(*.f64 a (*.f64 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 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(*.f64 a (*.f64 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 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(*.f64 a (fma.f64 (/.f64 #s(literal 4 binary64) a) a a))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(*.f64 a (*.f64 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 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(*.f64 a (*.f64 a (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 1 binary64))))
(- (* 4 (pow b 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))
(- (+ (* -12 (* a (pow b 2))) (* 4 (pow b 2))) 1)
(fma.f64 (*.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))))))) 1)
(fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b (fma.f64 a (*.f64 a (fma.f64 #s(literal 2 binary64) (*.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))))))) 1)
(fma.f64 b (*.f64 b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) #s(literal -1 binary64)))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (*.f64 (*.f64 a a) (*.f64 a a)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) (/.f64 #s(literal 4 binary64) a))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (fma.f64 (*.f64 b (/.f64 b (*.f64 a a))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) 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)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (*.f64 (*.f64 a a) (*.f64 a a)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -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)))
(- (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) 1)
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
(- (+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) 1)
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(- (+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) 1)
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(- (+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) 1)
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64)))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(fma.f64 (*.f64 b b) (fma.f64 (*.f64 a a) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 b b))) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(fma.f64 (*.f64 b b) (fma.f64 (*.f64 a a) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 b b))) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(fma.f64 (*.f64 b b) (fma.f64 (*.f64 a a) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 b b))) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64)))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(fma.f64 (*.f64 b b) (fma.f64 (*.f64 a a) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 b b))) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(fma.f64 (*.f64 b b) (fma.f64 (*.f64 a a) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 b b))) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(fma.f64 (*.f64 b b) (fma.f64 (*.f64 a a) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 b b))) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
(* 4 (pow b 2))
(*.f64 #s(literal 4 binary64) (*.f64 b b))
(+ (* -12 (* a (pow b 2))) (* 4 (pow b 2)))
(*.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))
(+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))))
(fma.f64 a (fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
(+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))))
(fma.f64 b (*.f64 b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (*.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a (fma.f64 #s(literal 2 binary64) (*.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 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (*.f64 (*.f64 a a) (*.f64 a a)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) (/.f64 #s(literal 4 binary64) a))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (fma.f64 (*.f64 b (/.f64 b (*.f64 a a))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) 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)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (*.f64 (*.f64 a a) (*.f64 a a)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -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)))
(* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2))))
(*.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))
(+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))))
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64))))
(+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))))
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64))))
(+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))))
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64))))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64)))
(* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a a) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 b b))) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))
(* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a a) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 b b))) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))
(* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a a) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 b b))) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64)))
(* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a a) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 b b))) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))
(* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a a) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 b b))) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))
(* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a a) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 b b))) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))
-1
#s(literal -1 binary64)
(- (pow a 4) 1)
(fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -1 binary64))
(- (pow a 4) 1)
(fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -1 binary64))
(- (pow a 4) 1)
(fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -1 binary64))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (- 1 (/ 1 (pow a 4))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))))
(* (pow a 4) (- 1 (/ 1 (pow a 4))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))))
(* (pow a 4) (- 1 (/ 1 (pow a 4))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (- 1 (/ 1 (pow a 4))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))))
(* (pow a 4) (- 1 (/ 1 (pow a 4))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))))
(* (pow a 4) (- 1 (/ 1 (pow a 4))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.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)
(pow a 2)
(*.f64 a a)
-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 (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))))
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(* a (+ a (pow a 2)))
(*.f64 a (fma.f64 a a a))
(+ (* a (+ a (pow a 2))) (* (pow b 2) (+ 1 (* -3 a))))
(fma.f64 a (fma.f64 a a a) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))))
(+ (* a (+ a (pow a 2))) (* (pow b 2) (+ 1 (* -3 a))))
(fma.f64 a (fma.f64 a a a) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))))
(+ (* a (+ a (pow a 2))) (* (pow b 2) (+ 1 (* -3 a))))
(fma.f64 a (fma.f64 a a a) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))))
(* (pow b 2) (+ 1 (* -3 a)))
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))
(*.f64 b (*.f64 b (fma.f64 a (+.f64 #s(literal -3 binary64) (/.f64 (fma.f64 a a a) (*.f64 b b))) #s(literal 1 binary64))))
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))
(*.f64 b (*.f64 b (fma.f64 a (+.f64 #s(literal -3 binary64) (/.f64 (fma.f64 a a a) (*.f64 b b))) #s(literal 1 binary64))))
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))
(*.f64 b (*.f64 b (fma.f64 a (+.f64 #s(literal -3 binary64) (/.f64 (fma.f64 a a a) (*.f64 b b))) #s(literal 1 binary64))))
(* (pow b 2) (+ 1 (* -3 a)))
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))
(*.f64 b (*.f64 b (fma.f64 a (+.f64 #s(literal -3 binary64) (/.f64 (fma.f64 a a a) (*.f64 b b))) #s(literal 1 binary64))))
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))
(*.f64 b (*.f64 b (fma.f64 a (+.f64 #s(literal -3 binary64) (/.f64 (fma.f64 a a a) (*.f64 b b))) #s(literal 1 binary64))))
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))
(*.f64 b (*.f64 b (fma.f64 a (+.f64 #s(literal -3 binary64) (/.f64 (fma.f64 a a a) (*.f64 b b))) #s(literal 1 binary64))))
(pow b 2)
(*.f64 b b)
(+ (* -3 (* a (pow b 2))) (pow b 2))
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))
(+ (* a (+ a (* -3 (pow b 2)))) (pow b 2))
(fma.f64 a a (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))))
(+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2))
(fma.f64 a (fma.f64 a a a) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))))
(pow a 3)
(*.f64 a (*.f64 a a))
(* (pow a 3) (+ 1 (/ 1 a)))
(*.f64 a (fma.f64 a a a))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a))))
(fma.f64 (*.f64 a (*.f64 a a)) (fma.f64 (*.f64 b b) (/.f64 #s(literal -3 binary64) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a a))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3))))))
(*.f64 (*.f64 a a) (fma.f64 a (fma.f64 b (/.f64 b (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) a))) a))
(pow a 3)
(*.f64 a (*.f64 a a))
(* (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)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -3 binary64) #s(literal 1 binary64)) a)) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (-.f64 (*.f64 b #s(literal 3 binary64)) (/.f64 b a))) a)) a)) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))))

eval258.0ms (1.9%)

Memory
14.8MiB live, 560.8MiB allocated
Compiler

Compiled 114 086 to 4 682 computations (95.9% saved)

prune226.0ms (1.7%)

Memory
4.8MiB live, 415.9MiB allocated
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New1 692171 709
Fresh516
Picked505
Done000
Total1 702181 720
Accuracy
100.0%
Counts
1 720 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
13.7%
(fma.f64 (fma.f64 (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) (*.f64 (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 b b)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 (*.f64 b b) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 b b)) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 b b)) (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))) (*.f64 (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))))) #s(literal -1 binary64))
72.3%
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
64.6%
(fma.f64 (*.f64 a (*.f64 a a)) a #s(literal -1 binary64))
65.7%
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
83.6%
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))) #s(literal -1 binary64))
52.0%
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))
38.6%
(/.f64 (fma.f64 (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 b b))) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 b b))) #s(literal -1 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal 1 binary64))))
68.6%
(-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 a (fma.f64 a a a) (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b))) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 a (fma.f64 a a a) (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b))) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
64.6%
(-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))
98.7%
(-.f64 (/.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)) (*.f64 #s(literal 4 binary64) (*.f64 b b))))) #s(literal 1 binary64))
72.0%
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1 binary64))
74.5%
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
30.4%
(-.f64 (*.f64 (*.f64 b b) (/.f64 (fma.f64 (*.f64 b (*.f64 b 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))))) #s(literal 1 binary64))
53.1%
(-.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a))) #s(literal 1 binary64))
65.7%
(-.f64 (*.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) #s(literal 1 binary64))
41.4%
(*.f64 (*.f64 a a) (*.f64 a a))
48.6%
(*.f64 b (*.f64 b (*.f64 b b)))
24.9%
#s(literal -1 binary64)
Compiler

Compiled 1 040 to 392 computations (62.3% saved)

simplify554.0ms (4.1%)

Memory
15.8MiB live, 922.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff192
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))
cost-diff192
(+.f64 (*.f64 (*.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-diff640
(+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
cost-diff1088
(/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))))
cost-diff0
(+.f64 #s(literal 4 binary64) a)
cost-diff0
(fma.f64 a (+.f64 #s(literal 4 binary64) a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))
cost-diff0
(*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))))
cost-diff192
(fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))
cost-diff-64
(*.f64 a a)
cost-diff-64
(*.f64 a (*.f64 a a))
cost-diff0
(fma.f64 (*.f64 a (*.f64 a a)) a #s(literal -1 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal 4 binary64) (*.f64 b b))))
cost-diff64
(*.f64 #s(literal 4 binary64) (*.f64 b b))
cost-diff128
(-.f64 (/.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)) (*.f64 #s(literal 4 binary64) (*.f64 b b))))) #s(literal 1 binary64))
cost-diff1408
(/.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)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
Rules
23 582×accelerator-lowering-fma.f32
23 582×accelerator-lowering-fma.f64
3 956×+-lowering-+.f64
3 956×+-lowering-+.f32
3 564×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038371
1117363
2350363
31090363
43474355
55561347
08659303
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(- (/ 1 (/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))))) 1)
(/ 1 (/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b)))))
1
(/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))))
(+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b)))
(+ (* a a) (* b b))
a
(* b b)
b
(* 4 (* b b))
4
-1
(+ (* (* a (* a a)) a) -1)
(* a (* a a))
a
(* a a)
-1
(+ (* a (* a (+ (* a (+ 4 a)) (+ (* 2 (* b b)) 4)))) -1)
a
(* a (+ (* a (+ 4 a)) (+ (* 2 (* b b)) 4)))
(+ (* a (+ 4 a)) (+ (* 2 (* b b)) 4))
(+ 4 a)
4
(+ (* 2 (* b b)) 4)
2
(* b b)
b
-1
(- (+ (/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b)))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1)
(+ (/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b)))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
(/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b))))
(+ (* a a) (* b b))
a
(* b b)
b
(/ 1 (+ (* a a) (* b b)))
1
(* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))
4
(+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))
(* (* a a) (+ 1 a))
(* a a)
(+ 1 a)
(* (* b b) (- 1 (* 3 a)))
(- 1 (* 3 a))
(* 3 a)
3
Outputs
(- (/ 1 (/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))))) 1)
(fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (fma.f64 b b #s(literal 0 binary64))) (fma.f64 a a (fma.f64 b b #s(literal 0 binary64))) #s(literal -1 binary64)))
(/ 1 (/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b)))))
(fma.f64 (fma.f64 a a (fma.f64 b b #s(literal 0 binary64))) (fma.f64 a a (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (*.f64 b #s(literal 4 binary64))))
1
#s(literal 1 binary64)
(/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))))
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a a (fma.f64 b b #s(literal 0 binary64))) (fma.f64 a a (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (*.f64 b #s(literal 4 binary64)))))
(+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b)))
(fma.f64 (fma.f64 a a (fma.f64 b b #s(literal 0 binary64))) (fma.f64 a a (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (*.f64 b #s(literal 4 binary64))))
(+ (* a a) (* b b))
(fma.f64 a a (fma.f64 b b #s(literal 0 binary64)))
a
(* b b)
(fma.f64 b b #s(literal 0 binary64))
b
(* 4 (* b b))
(*.f64 b (*.f64 b #s(literal 4 binary64)))
4
#s(literal 4 binary64)
-1
#s(literal -1 binary64)
(+ (* (* a (* a a)) a) -1)
(fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a a #s(literal 0 binary64)) #s(literal -1 binary64))
(* a (* a a))
(fma.f64 a (fma.f64 a a #s(literal 0 binary64)) #s(literal 0 binary64))
a
(* a a)
(fma.f64 a a #s(literal 0 binary64))
-1
#s(literal -1 binary64)
(+ (* a (* a (+ (* a (+ 4 a)) (+ (* 2 (* b b)) 4)))) -1)
(fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 b (+.f64 b b) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))
a
(* a (+ (* a (+ 4 a)) (+ (* 2 (* b b)) 4)))
(*.f64 a (fma.f64 b (+.f64 b b) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))
(+ (* a (+ 4 a)) (+ (* 2 (* b b)) 4))
(fma.f64 b (+.f64 b b) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))
(+ 4 a)
(+.f64 a #s(literal 4 binary64))
4
#s(literal 4 binary64)
(+ (* 2 (* b b)) 4)
(fma.f64 b (+.f64 b b) #s(literal 4 binary64))
2
#s(literal 2 binary64)
(* b b)
(fma.f64 b b #s(literal 0 binary64))
b
-1
#s(literal -1 binary64)
(- (+ (/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b)))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1)
(fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 a #s(literal -12 binary64) (fma.f64 a a (fma.f64 b b #s(literal 4 binary64)))) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 b b (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(+ (/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b)))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
(fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 a #s(literal -12 binary64) (fma.f64 a a (fma.f64 b b #s(literal 4 binary64)))) (*.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 b b (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))))
(/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b))))
(*.f64 (fma.f64 a a (fma.f64 b b #s(literal 0 binary64))) (fma.f64 a a (fma.f64 b b #s(literal 0 binary64))))
(+ (* a a) (* b b))
(fma.f64 a a (fma.f64 b b #s(literal 0 binary64)))
a
(* b b)
(fma.f64 b b #s(literal 0 binary64))
b
(/ 1 (+ (* a a) (* b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 a a (fma.f64 b b #s(literal 0 binary64))))
1
#s(literal 1 binary64)
(* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))
(fma.f64 a (*.f64 a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) (*.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))))
4
#s(literal 4 binary64)
(+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))
(fma.f64 a (fma.f64 a a a) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))))
(* (* a a) (+ 1 a))
(fma.f64 a (fma.f64 a a a) #s(literal 0 binary64))
(* a a)
(fma.f64 a a #s(literal 0 binary64))
(+ 1 a)
(+.f64 #s(literal 1 binary64) a)
(* (* b b) (- 1 (* 3 a)))
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))
(- 1 (* 3 a))
(fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))
(* 3 a)
(fma.f64 a #s(literal 3 binary64) #s(literal 0 binary64))
3
#s(literal 3 binary64)

localize132.0ms (1%)

Memory
-21.9MiB live, 273.1MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy99.1%
(/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))
accuracy94.5%
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))
accuracy88.2%
(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))
accuracy84.1%
(+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
accuracy100.0%
(+.f64 #s(literal 4 binary64) a)
accuracy100.0%
(*.f64 b b)
accuracy97.4%
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))) #s(literal -1 binary64))
accuracy94.0%
(*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))))
accuracy100.0%
(*.f64 a a)
accuracy99.9%
(fma.f64 (*.f64 a (*.f64 a a)) a #s(literal -1 binary64))
accuracy99.8%
(*.f64 a (*.f64 a a))
accuracy100.0%
(*.f64 #s(literal 4 binary64) (*.f64 b b))
accuracy99.8%
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
accuracy99.8%
(/.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)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
accuracy99.7%
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal 4 binary64) (*.f64 b b))))
Samples
60.0ms237×0valid
7.0ms11×2valid
3.0ms1valid
Compiler

Compiled 355 to 40 computations (88.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-mult: 20.0ms (41.8% of total)
ival-add: 11.0ms (23% of total)
ival-div: 7.0ms (14.6% of total)
ival-sub: 7.0ms (14.6% of total)
adjust: 1.0ms (2.1% of total)
exact: 1.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series19.0ms (0.1%)

Memory
-8.1MiB live, 30.8MiB allocated
Counts
20 → 384
Calls
Call 1
Inputs
#<alt (/ 1 (/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b)))))>
#<alt (- (/ 1 (/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))))) 1)>
#<alt (* 4 (* b b))>
#<alt (/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))))>
#<alt (+ (* (* a (* a a)) a) -1)>
#<alt (* a (* a a))>
#<alt (* a a)>
#<alt (+ (* 2 (* b b)) 4)>
#<alt (* a (+ (* a (+ 4 a)) (+ (* 2 (* b b)) 4)))>
#<alt (+ (* a (+ 4 a)) (+ (* 2 (* b b)) 4))>
#<alt (+ 4 a)>
#<alt (/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b))))>
#<alt (+ (/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b)))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))>
#<alt (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))>
#<alt (- 1 (* 3 a))>
#<alt (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b)))>
#<alt (+ (* a (* a (+ (* a (+ 4 a)) (+ (* 2 (* b b)) 4)))) -1)>
#<alt (* b b)>
#<alt (* (* b b) (- 1 (* 3 a)))>
#<alt (/ 1 (+ (* a a) (* b b)))>
Outputs
#<alt (+ (* 4 (pow b 2)) (pow b 4))>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))>
#<alt (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))>
#<alt (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))>
#<alt (pow a 4)>
#<alt (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4))>
#<alt (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))>
#<alt (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))>
#<alt (- (+ (* 4 (pow b 2)) (pow b 4)) 1)>
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))>
#<alt (- (pow a 4) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (/ 1 (+ (* 4 (pow b 2)) (pow b 4)))>
#<alt (+ (* -2 (/ (* (pow a 2) (pow b 2)) (pow (+ (* 4 (pow b 2)) (pow b 4)) 2))) (/ 1 (+ (* 4 (pow b 2)) (pow b 4))))>
#<alt (+ (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -4 (/ (pow b 4) (pow (+ (* 4 (pow b 2)) (pow b 4)) 3))) (/ 1 (pow (+ (* 4 (pow b 2)) (pow b 4)) 2))))) (* 2 (/ (pow b 2) (pow (+ (* 4 (pow b 2)) (pow b 4)) 2))))) (/ 1 (+ (* 4 (pow b 2)) (pow b 4))))>
#<alt (+ (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -2 (/ (* (pow b 2) (+ (* -4 (/ (pow b 4) (pow (+ (* 4 (pow b 2)) (pow b 4)) 3))) (/ 1 (pow (+ (* 4 (pow b 2)) (pow b 4)) 2)))) (+ (* 4 (pow b 2)) (pow b 4)))) (* -2 (/ (pow b 2) (pow (+ (* 4 (pow b 2)) (pow b 4)) 3)))))) (+ (* -4 (/ (pow b 4) (pow (+ (* 4 (pow b 2)) (pow b 4)) 3))) (/ 1 (pow (+ (* 4 (pow b 2)) (pow b 4)) 2))))) (* 2 (/ (pow b 2) (pow (+ (* 4 (pow b 2)) (pow b 4)) 2))))) (/ 1 (+ (* 4 (pow b 2)) (pow b 4))))>
#<alt (/ 1 (pow a 4))>
#<alt (/ (+ 1 (* -2 (/ (pow b 2) (pow a 2)))) (pow a 4))>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -4 (pow b 4)) (+ (* 4 (pow b 2)) (pow b 4))) (pow a 4)))) (* 2 (/ (pow b 2) (pow a 2)))) (pow a 4))>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -2 (* (pow b 2) (+ (* -4 (pow b 4)) (+ (* 4 (pow b 2)) (pow b 4))))) (* -2 (* (pow b 2) (+ (* 4 (pow b 2)) (pow b 4))))) (pow a 6)))) (+ (* -4 (/ (pow b 4) (pow a 4))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) (pow a 4))>
#<alt (/ 1 (pow a 4))>
#<alt (/ (+ 1 (* -2 (/ (pow b 2) (pow a 2)))) (pow a 4))>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -4 (pow b 4)) (+ (* 4 (pow b 2)) (pow b 4))) (pow a 4)))) (* 2 (/ (pow b 2) (pow a 2)))) (pow a 4))>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -2 (* (pow b 2) (+ (* -4 (pow b 4)) (+ (* 4 (pow b 2)) (pow b 4))))) (* -2 (* (pow b 2) (+ (* 4 (pow b 2)) (pow b 4))))) (pow a 6)))) (+ (* -4 (/ (pow b 4) (pow a 4))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) (pow a 4))>
#<alt (/ 1 (pow a 4))>
#<alt (+ (* -1 (* (pow b 2) (+ (* 2 (/ 1 (pow a 6))) (* 4 (/ 1 (pow a 8)))))) (/ 1 (pow a 4)))>
#<alt (+ (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1 (/ (* (+ 4 (* 2 (pow a 2))) (+ (* 2 (/ 1 (pow a 6))) (* 4 (/ 1 (pow a 8))))) (pow a 4))) (/ 1 (pow a 8))))) (+ (* 2 (/ 1 (pow a 6))) (* 4 (/ 1 (pow a 8)))))) (/ 1 (pow a 4)))>
#<alt (+ (* (pow b 2) (- (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1 (/ (* (+ 4 (* 2 (pow a 2))) (+ (* -1 (/ (* (+ 4 (* 2 (pow a 2))) (+ (* 2 (/ 1 (pow a 6))) (* 4 (/ 1 (pow a 8))))) (pow a 4))) (/ 1 (pow a 8)))) (pow a 4))) (* -1 (/ (+ (* 2 (/ 1 (pow a 6))) (* 4 (/ 1 (pow a 8)))) (pow a 4)))))) (+ (* -1 (/ (* (+ 4 (* 2 (pow a 2))) (+ (* 2 (/ 1 (pow a 6))) (* 4 (/ 1 (pow a 8))))) (pow a 4))) (/ 1 (pow a 8))))) (+ (* 2 (/ 1 (pow a 6))) (* 4 (/ 1 (pow a 8)))))) (/ 1 (pow a 4)))>
#<alt (/ 1 (pow b 4))>
#<alt (/ (+ 1 (* -1 (/ (+ 4 (* 2 (pow a 2))) (pow b 2)))) (pow b 4))>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ 4 (* 2 (pow a 2))) 2)) (pow a 4)) (pow b 4)))) (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (pow b 4))>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ 4 (* 2 (pow a 2))) (+ (* -1 (pow (+ 4 (* 2 (pow a 2))) 2)) (pow a 4)))) (* -1 (* (pow a 4) (+ 4 (* 2 (pow a 2)))))) (pow b 6)))) (+ (* -1 (/ (pow (+ 4 (* 2 (pow a 2))) 2) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) (pow b 4))>
#<alt (/ 1 (pow b 4))>
#<alt (/ (+ 1 (* -1 (/ (+ 4 (* 2 (pow a 2))) (pow b 2)))) (pow b 4))>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ 4 (* 2 (pow a 2))) 2)) (pow a 4)) (pow b 4)))) (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (pow b 4))>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ 4 (* 2 (pow a 2))) (+ (* -1 (pow (+ 4 (* 2 (pow a 2))) 2)) (pow a 4)))) (* -1 (* (pow a 4) (+ 4 (* 2 (pow a 2)))))) (pow b 6)))) (+ (* -1 (/ (pow (+ 4 (* 2 (pow a 2))) 2) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) (pow b 4))>
#<alt -1>
#<alt (- (pow a 4) 1)>
#<alt (- (pow a 4) 1)>
#<alt (- (pow a 4) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (- 1 (/ 1 (pow a 4))))>
#<alt (* (pow a 4) (- 1 (/ 1 (pow a 4))))>
#<alt (* (pow a 4) (- 1 (/ 1 (pow a 4))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (- 1 (/ 1 (pow a 4))))>
#<alt (* (pow a 4) (- 1 (/ 1 (pow a 4))))>
#<alt (* (pow a 4) (- 1 (/ 1 (pow a 4))))>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt 4>
#<alt (+ 4 (* 2 (pow b 2)))>
#<alt (+ 4 (* 2 (pow b 2)))>
#<alt (+ 4 (* 2 (pow b 2)))>
#<alt (* 2 (pow b 2))>
#<alt (* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2)))))>
#<alt (* 2 (pow b 2))>
#<alt (* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2)))))>
#<alt (* a (+ 4 (* 2 (pow b 2))))>
#<alt (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a))))>
#<alt (* a (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a)))))>
#<alt (* a (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a)))))>
#<alt (pow a 3)>
#<alt (* (pow a 3) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 3) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))>
#<alt (* (pow a 3) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))>
#<alt (pow a 3)>
#<alt (* (pow a 3) (+ 1 (* 4 (/ 1 a))))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))) a)) 1)))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))) a)) 1)))>
#<alt (* a (+ 4 (* a (+ 4 a))))>
#<alt (+ (* 2 (* a (pow b 2))) (* a (+ 4 (* a (+ 4 a)))))>
#<alt (+ (* 2 (* a (pow b 2))) (* a (+ 4 (* a (+ 4 a)))))>
#<alt (+ (* 2 (* a (pow b 2))) (* a (+ 4 (* a (+ 4 a)))))>
#<alt (* 2 (* a (pow b 2)))>
#<alt (* (pow b 2) (+ (* 2 a) (/ (* a (+ 4 (* a (+ 4 a)))) (pow b 2))))>
#<alt (* (pow b 2) (+ (* 2 a) (/ (* a (+ 4 (* a (+ 4 a)))) (pow b 2))))>
#<alt (* (pow b 2) (+ (* 2 a) (/ (* a (+ 4 (* a (+ 4 a)))) (pow b 2))))>
#<alt (* 2 (* a (pow b 2)))>
#<alt (* (pow b 2) (+ (* 2 a) (/ (* a (+ 4 (* a (+ 4 a)))) (pow b 2))))>
#<alt (* (pow b 2) (+ (* 2 a) (/ (* a (+ 4 (* a (+ 4 a)))) (pow b 2))))>
#<alt (* (pow b 2) (+ (* 2 a) (/ (* a (+ 4 (* a (+ 4 a)))) (pow b 2))))>
#<alt (+ 4 (* 2 (pow b 2)))>
#<alt (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))>
#<alt (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))>
#<alt (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))>
#<alt (* (pow a 2) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))>
#<alt (+ 4 (* a (+ 4 a)))>
#<alt (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))>
#<alt (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))>
#<alt (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))>
#<alt (* 2 (pow b 2))>
#<alt (* (pow b 2) (+ 2 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (+ 4 a)) (pow b 2)))))>
#<alt (* (pow b 2) (+ 2 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (+ 4 a)) (pow b 2)))))>
#<alt (* (pow b 2) (+ 2 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (+ 4 a)) (pow b 2)))))>
#<alt (* 2 (pow b 2))>
#<alt (* (pow b 2) (+ 2 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (+ 4 a)) (pow b 2)))))>
#<alt (* (pow b 2) (+ 2 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (+ 4 a)) (pow b 2)))))>
#<alt (* (pow b 2) (+ 2 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (+ 4 a)) (pow b 2)))))>
#<alt 4>
#<alt (+ 4 a)>
#<alt (+ 4 a)>
#<alt (+ 4 a)>
#<alt a>
#<alt (* a (+ 1 (* 4 (/ 1 a))))>
#<alt (* a (+ 1 (* 4 (/ 1 a))))>
#<alt (* a (+ 1 (* 4 (/ 1 a))))>
#<alt a>
#<alt (* a (+ 1 (* 4 (/ 1 a))))>
#<alt (* a (+ 1 (* 4 (/ 1 a))))>
#<alt (* a (+ 1 (* 4 (/ 1 a))))>
#<alt (pow b 4)>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))>
#<alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))>
#<alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (pow a 4)>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))>
#<alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))>
#<alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (+ (* 4 (pow b 2)) (pow b 4))>
#<alt (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))>
#<alt (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))>
#<alt (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))>
#<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)))))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))>
#<alt (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))>
#<alt (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))>
#<alt (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))>
#<alt (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))>
#<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)))))))>
#<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)))))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))>
#<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)))))))>
#<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)))))))>
#<alt (pow b 2)>
#<alt (+ (* -3 (* a (pow b 2))) (pow b 2))>
#<alt (+ (* a (+ a (* -3 (pow b 2)))) (pow b 2))>
#<alt (+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2))>
#<alt (pow a 3)>
#<alt (* (pow a 3) (+ 1 (/ 1 a)))>
#<alt (* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a))))>
#<alt (* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3))))))>
#<alt (pow a 3)>
#<alt (* (pow a 3) (+ 1 (/ 1 a)))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1)))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1)))>
#<alt (* (pow a 2) (+ 1 a))>
#<alt (+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))>
#<alt (+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))>
#<alt (+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))>
#<alt (* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))>
#<alt (* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))>
#<alt (* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))>
#<alt (* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))>
#<alt 1>
#<alt (+ 1 (* -3 a))>
#<alt (+ 1 (* -3 a))>
#<alt (+ 1 (* -3 a))>
#<alt (* -3 a)>
#<alt (* a (- (/ 1 a) 3))>
#<alt (* a (- (/ 1 a) 3))>
#<alt (* a (- (/ 1 a) 3))>
#<alt (* -3 a)>
#<alt (* -1 (* a (- 3 (/ 1 a))))>
#<alt (* -1 (* a (- 3 (/ 1 a))))>
#<alt (* -1 (* a (- 3 (/ 1 a))))>
#<alt (+ (* 4 (pow b 2)) (pow b 4))>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))>
#<alt (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))>
#<alt (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))>
#<alt (pow a 4)>
#<alt (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4))>
#<alt (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))>
#<alt (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))>
#<alt -1>
#<alt (- (* (pow a 2) (+ 4 (* 2 (pow b 2)))) 1)>
#<alt (- (* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))) 1)>
#<alt (- (* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) (/ 1 (pow a 4))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- (+ 4 (* 2 (pow b 2))) (/ 1 (pow a 2))) a)) 4) a))))>
#<alt (- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)>
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 2) (+ 4 (* a (+ 4 a))))) 1)>
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 2) (+ 4 (* a (+ 4 a))))) 1)>
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 2) (+ 4 (* a (+ 4 a))))) 1)>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))) (/ 1 (pow b 2))))>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))) (/ 1 (pow b 2))))>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (pow b 2)>
#<alt (+ (* -3 (* a (pow b 2))) (pow b 2))>
#<alt (+ (* -3 (* a (pow b 2))) (pow b 2))>
#<alt (+ (* -3 (* a (pow b 2))) (pow b 2))>
#<alt (* -3 (* a (pow b 2)))>
#<alt (* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))>
#<alt (* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))>
#<alt (* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))>
#<alt (* -3 (* a (pow b 2)))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))>
#<alt (/ 1 (pow b 2))>
#<alt (+ (* -1 (/ (pow a 2) (pow b 4))) (/ 1 (pow b 2)))>
#<alt (+ (* (pow a 2) (- (/ (pow a 2) (pow b 6)) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))>
#<alt (+ (* (pow a 2) (- (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow b 8))) (/ 1 (pow b 6)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))>
#<alt (/ 1 (pow a 2))>
#<alt (/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))>
#<alt (/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2))>
#<alt (/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2))>
#<alt (/ 1 (pow a 2))>
#<alt (/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))>
#<alt (/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2))>
#<alt (/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2))>
#<alt (/ 1 (pow a 2))>
#<alt (+ (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))>
#<alt (+ (* (pow b 2) (- (/ (pow b 2) (pow a 6)) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))>
#<alt (+ (* (pow b 2) (- (* (pow b 2) (+ (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))>
#<alt (/ 1 (pow b 2))>
#<alt (/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2))>
#<alt (/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2))>
#<alt (/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2))>
Calls

96 calls:

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

rewrite516.0ms (3.8%)

Memory
37.6MiB live, 1 021.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 132×*-lowering-*.f32
6 132×*-lowering-*.f64
4 704×accelerator-lowering-fma.f32
4 704×accelerator-lowering-fma.f64
2 944×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037236
1274218
22672218
08562190
Stop Event
iter limit
node limit
Counts
20 → 1 060
Calls
Call 1
Inputs
(/ 1 (/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b)))))
(- (/ 1 (/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))))) 1)
(* 4 (* b b))
(/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))))
(+ (* (* a (* a a)) a) -1)
(* a (* a a))
(* a a)
(+ (* 2 (* b b)) 4)
(* a (+ (* a (+ 4 a)) (+ (* 2 (* b b)) 4)))
(+ (* a (+ 4 a)) (+ (* 2 (* b b)) 4))
(+ 4 a)
(/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b))))
(+ (/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b)))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
(+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))
(- 1 (* 3 a))
(+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b)))
(+ (* a (* a (+ (* a (+ 4 a)) (+ (* 2 (* b b)) 4)))) -1)
(* b b)
(* (* b b) (- 1 (* 3 a)))
(/ 1 (+ (* a a) (* b b)))
Outputs
(+.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 b b) #s(literal 4 binary64)))
(+.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64))))
(+.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))))
(+.f64 (*.f64 a (*.f64 a (fma.f64 a a (*.f64 b b)))) (fma.f64 b (*.f64 b (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 b b) #s(literal 4 binary64))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64))) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))))
(+.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))))
(+.f64 (fma.f64 b (*.f64 b #s(literal 4 binary64)) (*.f64 a (*.f64 a (fma.f64 a a (*.f64 b b))))) (*.f64 b (*.f64 b (fma.f64 a a (*.f64 b b)))))
(exp.f64 (log.f64 (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal -4 binary64) (*.f64 b b)))) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal -4 binary64) (*.f64 b b)))))
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 b b) #s(literal 4 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))))
(fma.f64 a (*.f64 a (fma.f64 a a (*.f64 b b))) (fma.f64 b (*.f64 b (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 b b) #s(literal 4 binary64))))
(fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (fma.f64 b (*.f64 b (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 b b) #s(literal 4 binary64))))
(fma.f64 b (*.f64 b #s(literal 4 binary64)) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))))
(fma.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a) (fma.f64 b (*.f64 b (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 b b) #s(literal 4 binary64))))
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64))))
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))
(fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64))))
(fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 b b) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))))
(fma.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 b b))) (-.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 b b) #s(literal 4 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 b b))) (-.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 b b))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 b b))) (-.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 b b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 (*.f64 b b) #s(literal 4 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 b b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 b b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 b #s(literal 4 binary64)) b (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))))
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a))))) #s(literal 2 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))
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(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (*.f64 (+.f64 a b) (-.f64 a b)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) #s(literal -1 binary64)))

simplify670.0ms (4.9%)

Memory
-143.6MiB live, 586.4MiB allocated
Algorithm
egg-herbie
Rules
13 714×accelerator-lowering-fma.f32
13 714×accelerator-lowering-fma.f64
6 392×*-lowering-*.f32
6 392×*-lowering-*.f64
3 390×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04416092
114415873
249855684
083045273
Stop Event
iter limit
node limit
Counts
384 → 384
Calls
Call 1
Inputs
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* (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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(pow a 4)
(+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4))
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (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 (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(- (pow a 4) 1)
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (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 (/ 1 (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 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (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 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(/ 1 (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* -2 (/ (* (pow a 2) (pow b 2)) (pow (+ (* 4 (pow b 2)) (pow b 4)) 2))) (/ 1 (+ (* 4 (pow b 2)) (pow b 4))))
(+ (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -4 (/ (pow b 4) (pow (+ (* 4 (pow b 2)) (pow b 4)) 3))) (/ 1 (pow (+ (* 4 (pow b 2)) (pow b 4)) 2))))) (* 2 (/ (pow b 2) (pow (+ (* 4 (pow b 2)) (pow b 4)) 2))))) (/ 1 (+ (* 4 (pow b 2)) (pow b 4))))
(+ (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -2 (/ (* (pow b 2) (+ (* -4 (/ (pow b 4) (pow (+ (* 4 (pow b 2)) (pow b 4)) 3))) (/ 1 (pow (+ (* 4 (pow b 2)) (pow b 4)) 2)))) (+ (* 4 (pow b 2)) (pow b 4)))) (* -2 (/ (pow b 2) (pow (+ (* 4 (pow b 2)) (pow b 4)) 3)))))) (+ (* -4 (/ (pow b 4) (pow (+ (* 4 (pow b 2)) (pow b 4)) 3))) (/ 1 (pow (+ (* 4 (pow b 2)) (pow b 4)) 2))))) (* 2 (/ (pow b 2) (pow (+ (* 4 (pow b 2)) (pow b 4)) 2))))) (/ 1 (+ (* 4 (pow b 2)) (pow b 4))))
(/ 1 (pow a 4))
(/ (+ 1 (* -2 (/ (pow b 2) (pow a 2)))) (pow a 4))
(/ (- (+ 1 (* -1 (/ (+ (* -4 (pow b 4)) (+ (* 4 (pow b 2)) (pow b 4))) (pow a 4)))) (* 2 (/ (pow b 2) (pow a 2)))) (pow a 4))
(/ (- (+ 1 (* -1 (/ (+ (* -2 (* (pow b 2) (+ (* -4 (pow b 4)) (+ (* 4 (pow b 2)) (pow b 4))))) (* -2 (* (pow b 2) (+ (* 4 (pow b 2)) (pow b 4))))) (pow a 6)))) (+ (* -4 (/ (pow b 4) (pow a 4))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) (pow a 4))
(/ 1 (pow a 4))
(/ (+ 1 (* -2 (/ (pow b 2) (pow a 2)))) (pow a 4))
(/ (- (+ 1 (* -1 (/ (+ (* -4 (pow b 4)) (+ (* 4 (pow b 2)) (pow b 4))) (pow a 4)))) (* 2 (/ (pow b 2) (pow a 2)))) (pow a 4))
(/ (- (+ 1 (* -1 (/ (+ (* -2 (* (pow b 2) (+ (* -4 (pow b 4)) (+ (* 4 (pow b 2)) (pow b 4))))) (* -2 (* (pow b 2) (+ (* 4 (pow b 2)) (pow b 4))))) (pow a 6)))) (+ (* -4 (/ (pow b 4) (pow a 4))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) (pow a 4))
(/ 1 (pow a 4))
(+ (* -1 (* (pow b 2) (+ (* 2 (/ 1 (pow a 6))) (* 4 (/ 1 (pow a 8)))))) (/ 1 (pow a 4)))
(+ (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1 (/ (* (+ 4 (* 2 (pow a 2))) (+ (* 2 (/ 1 (pow a 6))) (* 4 (/ 1 (pow a 8))))) (pow a 4))) (/ 1 (pow a 8))))) (+ (* 2 (/ 1 (pow a 6))) (* 4 (/ 1 (pow a 8)))))) (/ 1 (pow a 4)))
(+ (* (pow b 2) (- (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1 (/ (* (+ 4 (* 2 (pow a 2))) (+ (* -1 (/ (* (+ 4 (* 2 (pow a 2))) (+ (* 2 (/ 1 (pow a 6))) (* 4 (/ 1 (pow a 8))))) (pow a 4))) (/ 1 (pow a 8)))) (pow a 4))) (* -1 (/ (+ (* 2 (/ 1 (pow a 6))) (* 4 (/ 1 (pow a 8)))) (pow a 4)))))) (+ (* -1 (/ (* (+ 4 (* 2 (pow a 2))) (+ (* 2 (/ 1 (pow a 6))) (* 4 (/ 1 (pow a 8))))) (pow a 4))) (/ 1 (pow a 8))))) (+ (* 2 (/ 1 (pow a 6))) (* 4 (/ 1 (pow a 8)))))) (/ 1 (pow a 4)))
(/ 1 (pow b 4))
(/ (+ 1 (* -1 (/ (+ 4 (* 2 (pow a 2))) (pow b 2)))) (pow b 4))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ 4 (* 2 (pow a 2))) 2)) (pow a 4)) (pow b 4)))) (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (pow b 4))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ 4 (* 2 (pow a 2))) (+ (* -1 (pow (+ 4 (* 2 (pow a 2))) 2)) (pow a 4)))) (* -1 (* (pow a 4) (+ 4 (* 2 (pow a 2)))))) (pow b 6)))) (+ (* -1 (/ (pow (+ 4 (* 2 (pow a 2))) 2) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) (pow b 4))
(/ 1 (pow b 4))
(/ (+ 1 (* -1 (/ (+ 4 (* 2 (pow a 2))) (pow b 2)))) (pow b 4))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ 4 (* 2 (pow a 2))) 2)) (pow a 4)) (pow b 4)))) (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (pow b 4))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ 4 (* 2 (pow a 2))) (+ (* -1 (pow (+ 4 (* 2 (pow a 2))) 2)) (pow a 4)))) (* -1 (* (pow a 4) (+ 4 (* 2 (pow a 2)))))) (pow b 6)))) (+ (* -1 (/ (pow (+ 4 (* 2 (pow a 2))) 2) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) (pow b 4))
-1
(- (pow a 4) 1)
(- (pow a 4) 1)
(- (pow a 4) 1)
(pow a 4)
(* (pow a 4) (- 1 (/ 1 (pow a 4))))
(* (pow a 4) (- 1 (/ 1 (pow a 4))))
(* (pow a 4) (- 1 (/ 1 (pow a 4))))
(pow a 4)
(* (pow a 4) (- 1 (/ 1 (pow a 4))))
(* (pow a 4) (- 1 (/ 1 (pow a 4))))
(* (pow a 4) (- 1 (/ 1 (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
(+ 4 (* 2 (pow b 2)))
(+ 4 (* 2 (pow b 2)))
(+ 4 (* 2 (pow b 2)))
(* 2 (pow b 2))
(* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2)))))
(* 2 (pow b 2))
(* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2)))))
(* a (+ 4 (* 2 (pow b 2))))
(* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a))))
(* a (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a)))))
(* a (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a)))))
(pow a 3)
(* (pow a 3) (+ 1 (* 4 (/ 1 a))))
(* (pow a 3) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 3) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(pow a 3)
(* (pow a 3) (+ 1 (* 4 (/ 1 a))))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))) a)) 1)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))) a)) 1)))
(* a (+ 4 (* a (+ 4 a))))
(+ (* 2 (* a (pow b 2))) (* a (+ 4 (* a (+ 4 a)))))
(+ (* 2 (* a (pow b 2))) (* a (+ 4 (* a (+ 4 a)))))
(+ (* 2 (* a (pow b 2))) (* a (+ 4 (* a (+ 4 a)))))
(* 2 (* a (pow b 2)))
(* (pow b 2) (+ (* 2 a) (/ (* a (+ 4 (* a (+ 4 a)))) (pow b 2))))
(* (pow b 2) (+ (* 2 a) (/ (* a (+ 4 (* a (+ 4 a)))) (pow b 2))))
(* (pow b 2) (+ (* 2 a) (/ (* a (+ 4 (* a (+ 4 a)))) (pow b 2))))
(* 2 (* a (pow b 2)))
(* (pow b 2) (+ (* 2 a) (/ (* a (+ 4 (* a (+ 4 a)))) (pow b 2))))
(* (pow b 2) (+ (* 2 a) (/ (* a (+ 4 (* a (+ 4 a)))) (pow b 2))))
(* (pow b 2) (+ (* 2 a) (/ (* a (+ 4 (* a (+ 4 a)))) (pow b 2))))
(+ 4 (* 2 (pow b 2)))
(+ 4 (+ (* 2 (pow b 2)) (* 4 a)))
(+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))
(+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 2) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 2) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(+ 4 (* a (+ 4 a)))
(+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))
(+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))
(+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))
(* 2 (pow b 2))
(* (pow b 2) (+ 2 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (+ 4 a)) (pow b 2)))))
(* (pow b 2) (+ 2 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (+ 4 a)) (pow b 2)))))
(* (pow b 2) (+ 2 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (+ 4 a)) (pow b 2)))))
(* 2 (pow b 2))
(* (pow b 2) (+ 2 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (+ 4 a)) (pow b 2)))))
(* (pow b 2) (+ 2 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (+ 4 a)) (pow b 2)))))
(* (pow b 2) (+ 2 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (+ 4 a)) (pow b 2)))))
4
(+ 4 a)
(+ 4 a)
(+ 4 a)
a
(* a (+ 1 (* 4 (/ 1 a))))
(* a (+ 1 (* 4 (/ 1 a))))
(* a (+ 1 (* 4 (/ 1 a))))
a
(* a (+ 1 (* 4 (/ 1 a))))
(* a (+ 1 (* 4 (/ 1 a))))
(* a (+ 1 (* 4 (/ 1 a))))
(pow b 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(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)))))))
(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)))
1
(+ 1 (* -3 a))
(+ 1 (* -3 a))
(+ 1 (* -3 a))
(* -3 a)
(* a (- (/ 1 a) 3))
(* a (- (/ 1 a) 3))
(* a (- (/ 1 a) 3))
(* -3 a)
(* -1 (* a (- 3 (/ 1 a))))
(* -1 (* a (- 3 (/ 1 a))))
(* -1 (* a (- 3 (/ 1 a))))
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* (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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(pow a 4)
(+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4))
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (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 (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
-1
(- (* (pow a 2) (+ 4 (* 2 (pow b 2)))) 1)
(- (* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))) 1)
(- (* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 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 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- (+ 4 (* 2 (pow b 2))) (/ 1 (pow a 2))) a)) 4) a))))
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 2) (+ 4 (* a (+ 4 a))))) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 2) (+ 4 (* a (+ 4 a))))) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 2) (+ 4 (* a (+ 4 a))))) 1)
(* 2 (* (pow a 2) (pow b 2)))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))) (/ 1 (pow b 2))))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))) (/ 1 (pow b 2))))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(* (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)))))
(/ 1 (pow b 2))
(+ (* -1 (/ (pow a 2) (pow b 4))) (/ 1 (pow b 2)))
(+ (* (pow a 2) (- (/ (pow a 2) (pow b 6)) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(+ (* (pow a 2) (- (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow b 8))) (/ 1 (pow b 6)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(/ 1 (pow a 2))
(/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2))
(/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ 1 (pow a 2))
(/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2))
(/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ 1 (pow a 2))
(+ (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))
(+ (* (pow b 2) (- (/ (pow b 2) (pow a 6)) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(+ (* (pow b 2) (- (* (pow b 2) (+ (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(/ 1 (pow b 2))
(/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2))
(/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ 1 (pow b 2))
(/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2))
(/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2))
Outputs
(+ (* 4 (pow b 2)) (pow b 4))
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))
(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))))
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (*.f64 a a))))
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (*.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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4))
(fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))))
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (*.f64 a a))))
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (*.f64 a a))))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 4 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 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64))) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64))) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b))))))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 4 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 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64))) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64))) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.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))
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal -1 binary64))
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1 binary64)))
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (fma.f64 a (*.f64 a (*.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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (*.f64 a a))))))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal -1 binary64) (*.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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (*.f64 a a))))))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (*.f64 a a))))))))
(- (pow a 4) 1)
(fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1 binary64))
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
(fma.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) (fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1 binary64)))
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (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) #s(literal 4 binary64)))) (fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1 binary64)))
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (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) #s(literal 4 binary64)))) (fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1 binary64)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 4 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 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 4 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 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))
(* 4 (pow b 2))
(*.f64 #s(literal 4 binary64) (*.f64 b b))
(* 4 (pow b 2))
(*.f64 #s(literal 4 binary64) (*.f64 b b))
(* 4 (pow b 2))
(*.f64 #s(literal 4 binary64) (*.f64 b b))
(* 4 (pow b 2))
(*.f64 #s(literal 4 binary64) (*.f64 b b))
(* 4 (pow b 2))
(*.f64 #s(literal 4 binary64) (*.f64 b b))
(* 4 (pow b 2))
(*.f64 #s(literal 4 binary64) (*.f64 b b))
(* 4 (pow b 2))
(*.f64 #s(literal 4 binary64) (*.f64 b b))
(* 4 (pow b 2))
(*.f64 #s(literal 4 binary64) (*.f64 b b))
(* 4 (pow b 2))
(*.f64 #s(literal 4 binary64) (*.f64 b b))
(* 4 (pow b 2))
(*.f64 #s(literal 4 binary64) (*.f64 b b))
(* 4 (pow b 2))
(*.f64 #s(literal 4 binary64) (*.f64 b b))
(* 4 (pow b 2))
(*.f64 #s(literal 4 binary64) (*.f64 b b))
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(pow a 4)
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(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
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(fma.f64 (*.f64 b b) (*.f64 (*.f64 a a) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 b b)))) #s(literal -1 binary64))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))) (/ 1 (pow b 2))))
(fma.f64 (*.f64 b b) (*.f64 (*.f64 a a) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 b b)))) #s(literal -1 binary64))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))) (/ 1 (pow b 2))))
(fma.f64 (*.f64 b b) (*.f64 (*.f64 a a) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 b b)))) #s(literal -1 binary64))
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(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) (- 1 (* 3 a)))
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))
(* (pow b 2) (- 1 (* 3 a)))
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))
(* (pow b 2) (- 1 (* 3 a)))
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))
(* (pow b 2) (- 1 (* 3 a)))
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))
(* (pow b 2) (- 1 (* 3 a)))
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))
(* (pow b 2) (- 1 (* 3 a)))
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))
(* (pow b 2) (- 1 (* 3 a)))
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))
(* (pow b 2) (- 1 (* 3 a)))
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))
(* (pow b 2) (- 1 (* 3 a)))
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))
(* (pow b 2) (- 1 (* 3 a)))
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))
(* (pow b 2) (- 1 (* 3 a)))
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))
(* (pow b 2) (- 1 (* 3 a)))
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))
(pow b 2)
(*.f64 b b)
(+ (* -3 (* a (pow b 2))) (pow b 2))
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))
(+ (* -3 (* a (pow b 2))) (pow b 2))
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))
(+ (* -3 (* a (pow b 2))) (pow b 2))
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))
(* -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 a (*.f64 b (fma.f64 b #s(literal -3 binary64) (/.f64 b a))))
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))
(*.f64 a (*.f64 b (fma.f64 b #s(literal -3 binary64) (/.f64 b a))))
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))
(*.f64 a (*.f64 b (fma.f64 b #s(literal -3 binary64) (/.f64 b a))))
(* -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 a (*.f64 b (fma.f64 b #s(literal -3 binary64) (/.f64 b a))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))
(*.f64 a (*.f64 b (fma.f64 b #s(literal -3 binary64) (/.f64 b a))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))
(*.f64 a (*.f64 b (fma.f64 b #s(literal -3 binary64) (/.f64 b a))))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(+ (* -1 (/ (pow a 2) (pow b 4))) (/ 1 (pow b 2)))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b))
(+ (* (pow a 2) (- (/ (pow a 2) (pow b 6)) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(fma.f64 (*.f64 a a) (fma.f64 a (/.f64 a (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(+ (* (pow a 2) (- (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow b 8))) (/ 1 (pow b 6)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 a (pow.f64 b #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/.f64 (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a a))
(/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2))
(/.f64 (+.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64))) (*.f64 a a))
(/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2))
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))))) (*.f64 a a))
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/.f64 (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a a))
(/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2))
(/.f64 (+.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64))) (*.f64 a a))
(/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2))
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))))) (*.f64 a a))
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(+ (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))
(/.f64 (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a a))
(+ (* (pow b 2) (- (/ (pow b 2) (pow a 6)) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(fma.f64 (*.f64 b b) (fma.f64 b (/.f64 b (pow.f64 a #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(+ (* (pow b 2) (- (* (pow b 2) (+ (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (fma.f64 (neg.f64 b) (/.f64 b (pow.f64 a #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 6 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2))
(/.f64 (+.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) (*.f64 b b))
(/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2))
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 a (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2))
(/.f64 (+.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) (*.f64 b b))
(/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2))
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 a (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 b b))

eval260.0ms (1.9%)

Memory
26.2MiB live, 332.0MiB allocated
Compiler

Compiled 103 193 to 4 935 computations (95.2% saved)

prune179.0ms (1.3%)

Memory
-27.9MiB live, 375.7MiB allocated
Pruning

20 alts after pruning (18 fresh and 2 done)

PrunedKeptTotal
New1 56391 572
Fresh4913
Picked325
Done000
Total1 570201 590
Accuracy
100.0%
Counts
1 590 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
13.7%
(fma.f64 (fma.f64 (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) (*.f64 (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 b b)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 (*.f64 b b) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 b b)) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 b b)) (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))) (*.f64 (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))))) #s(literal -1 binary64))
72.3%
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
98.7%
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
64.6%
(fma.f64 (*.f64 a (*.f64 a a)) a #s(literal -1 binary64))
44.7%
(fma.f64 a (/.f64 (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))) a) (-.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64))
65.7%
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64))
82.5%
(fma.f64 a (*.f64 a (fma.f64 a a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))) #s(literal -1 binary64))
65.1%
(fma.f64 a (*.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))) #s(literal -1 binary64))
52.0%
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))
32.8%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))))) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))))))
92.4%
(-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
64.6%
(-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))
72.0%
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1 binary64))
98.7%
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
30.4%
(-.f64 (*.f64 (*.f64 b b) (/.f64 (fma.f64 (*.f64 b (*.f64 b 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))))) #s(literal 1 binary64))
53.1%
(-.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a))) #s(literal 1 binary64))
65.7%
(-.f64 (*.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) #s(literal 1 binary64))
48.6%
(*.f64 b (*.f64 b (*.f64 b b)))
41.4%
(*.f64 a (*.f64 a (*.f64 a a)))
24.9%
#s(literal -1 binary64)
Compiler

Compiled 1 009 to 389 computations (61.4% saved)

simplify373.0ms (2.8%)

Memory
3.0MiB live, 381.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))) a)
cost-diff0
(fma.f64 a (/.f64 (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))) a) (-.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64))
cost-diff192
(-.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))
cost-diff3584
(/.f64 (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))) a) (-.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))))
cost-diff0
(fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))
cost-diff0
(*.f64 b b)
cost-diff0
(fma.f64 a a (*.f64 b b))
cost-diff0
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
cost-diff-64
(*.f64 a (+.f64 #s(literal 4 binary64) a))
cost-diff0
(+.f64 #s(literal 4 binary64) a)
cost-diff0
(*.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a)))
cost-diff0
(fma.f64 a (*.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))) #s(literal -1 binary64))
cost-diff0
(*.f64 b b)
cost-diff0
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))
cost-diff0
(fma.f64 a a (*.f64 b b))
cost-diff128
(+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
cost-diff128
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
cost-diff1088
(/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))))
Rules
14 348×accelerator-lowering-fma.f32
14 348×accelerator-lowering-fma.f64
3 816×*-lowering-*.f32
3 816×*-lowering-*.f64
3 758×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037379
199371
2302369
31294317
43403313
55326313
08393275
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(- (+ (/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b)))) (* 4 (* b b))) 1)
(+ (/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b)))) (* 4 (* b b)))
(/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b))))
(+ (* a a) (* b b))
a
(* b b)
b
(/ 1 (+ (* a a) (* b b)))
1
(* 4 (* b b))
4
(+ (* 4 (* b b)) -1)
4
(* b b)
b
-1
(+ (* a (* a (* a (+ 4 a)))) -1)
a
(* a (* a (+ 4 a)))
(* a (+ 4 a))
(+ 4 a)
4
-1
(+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* b (* b 4)) -1))
(+ (* a a) (* b b))
a
(* b b)
b
(+ (* b (* b 4)) -1)
(* b 4)
4
-1
(+ (* a (/ (* (* (+ (* a (+ a 4)) (+ (* b (* b 2)) 4)) (- (* a (+ a 4)) (+ (* b (* b 2)) 4))) a) (- (* a (+ a 4)) (+ (* b (* b 2)) 4)))) -1)
a
(/ (* (* (+ (* a (+ a 4)) (+ (* b (* b 2)) 4)) (- (* a (+ a 4)) (+ (* b (* b 2)) 4))) a) (- (* a (+ a 4)) (+ (* b (* b 2)) 4)))
(* (* (+ (* a (+ a 4)) (+ (* b (* b 2)) 4)) (- (* a (+ a 4)) (+ (* b (* b 2)) 4))) a)
(* (+ (* a (+ a 4)) (+ (* b (* b 2)) 4)) (- (* a (+ a 4)) (+ (* b (* b 2)) 4)))
(+ (* a (+ a 4)) (+ (* b (* b 2)) 4))
(+ a 4)
4
(+ (* b (* b 2)) 4)
b
(* b 2)
2
(- (* a (+ a 4)) (+ (* b (* b 2)) 4))
(* a (+ a 4))
-1
Outputs
(- (+ (/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b)))) (* 4 (* b b))) 1)
(fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))
(+ (/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b)))) (* 4 (* b b)))
(fma.f64 b (*.f64 b #s(literal 4 binary64)) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))))
(/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b))))
(*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))
(+ (* a a) (* b b))
(fma.f64 a a (*.f64 b b))
a
(* b b)
(*.f64 b b)
b
(/ 1 (+ (* a a) (* b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))
1
#s(literal 1 binary64)
(* 4 (* b b))
(*.f64 b (*.f64 b #s(literal 4 binary64)))
4
#s(literal 4 binary64)
(+ (* 4 (* b b)) -1)
(fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))
4
#s(literal 4 binary64)
(* b b)
(*.f64 b b)
b
-1
#s(literal -1 binary64)
(+ (* a (* a (* a (+ 4 a)))) -1)
(fma.f64 a (*.f64 (fma.f64 a a #s(literal 0 binary64)) (+.f64 a #s(literal 4 binary64))) #s(literal -1 binary64))
a
(* a (* a (+ 4 a)))
(*.f64 (fma.f64 a a #s(literal 0 binary64)) (+.f64 a #s(literal 4 binary64)))
(* a (+ 4 a))
(fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 0 binary64))
(+ 4 a)
(+.f64 a #s(literal 4 binary64))
4
#s(literal 4 binary64)
-1
#s(literal -1 binary64)
(+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* b (* b 4)) -1))
(fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))
(+ (* a a) (* b b))
(fma.f64 a a (*.f64 b b))
a
(* b b)
(*.f64 b b)
b
(+ (* b (* b 4)) -1)
(fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))
(* b 4)
(*.f64 b #s(literal 4 binary64))
4
#s(literal 4 binary64)
-1
#s(literal -1 binary64)
(+ (* a (/ (* (* (+ (* a (+ a 4)) (+ (* b (* b 2)) 4)) (- (* a (+ a 4)) (+ (* b (* b 2)) 4))) a) (- (* a (+ a 4)) (+ (* b (* b 2)) 4)))) -1)
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)))) #s(literal -1 binary64))
a
(/ (* (* (+ (* a (+ a 4)) (+ (* b (* b 2)) 4)) (- (* a (+ a 4)) (+ (* b (* b 2)) 4))) a) (- (* a (+ a 4)) (+ (* b (* b 2)) 4)))
(*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))))
(* (* (+ (* a (+ a 4)) (+ (* b (* b 2)) 4)) (- (* a (+ a 4)) (+ (* b (* b 2)) 4))) a)
(*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 (*.f64 b b) #s(literal -2 binary64) #s(literal -4 binary64))) (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)))))
(* (+ (* a (+ a 4)) (+ (* b (* b 2)) 4)) (- (* a (+ a 4)) (+ (* b (* b 2)) 4)))
(*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 (*.f64 b b) #s(literal -2 binary64) #s(literal -4 binary64))))
(+ (* a (+ a 4)) (+ (* b (* b 2)) 4))
(fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)))
(+ a 4)
(+.f64 a #s(literal 4 binary64))
4
#s(literal 4 binary64)
(+ (* b (* b 2)) 4)
(fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))
b
(* b 2)
(*.f64 b #s(literal 2 binary64))
2
#s(literal 2 binary64)
(- (* a (+ a 4)) (+ (* b (* b 2)) 4))
(fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 (*.f64 b b) #s(literal -2 binary64) #s(literal -4 binary64)))
(* a (+ a 4))
(fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 0 binary64))
-1
#s(literal -1 binary64)

localize108.0ms (0.8%)

Memory
-26.8MiB live, 133.1MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy97.5%
(*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))) a)
accuracy97.4%
(fma.f64 a (/.f64 (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))) a) (-.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64))
accuracy95.0%
(-.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))
accuracy49.4%
(/.f64 (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))) a) (-.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))))
accuracy100.0%
(fma.f64 a a (*.f64 b b))
accuracy100.0%
(*.f64 b b)
accuracy100.0%
(*.f64 b #s(literal 4 binary64))
accuracy99.9%
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
accuracy100.0%
(+.f64 #s(literal 4 binary64) a)
accuracy100.0%
(*.f64 a (+.f64 #s(literal 4 binary64) a))
accuracy99.9%
(fma.f64 a (*.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))) #s(literal -1 binary64))
accuracy99.9%
(*.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a)))
accuracy100.0%
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))
accuracy100.0%
(*.f64 b b)
accuracy100.0%
(*.f64 b b)
accuracy100.0%
(*.f64 #s(literal 4 binary64) (*.f64 b b))
accuracy99.9%
(/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))))
accuracy99.1%
(/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))
Samples
56.0ms256×0valid
Compiler

Compiled 344 to 39 computations (88.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-mult: 20.0ms (51.5% of total)
ival-add: 11.0ms (28.3% of total)
ival-div: 4.0ms (10.3% of total)
ival-sub: 2.0ms (5.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series16.0ms (0.1%)

Memory
16.6MiB live, 16.6MiB allocated
Counts
19 → 348
Calls
Call 1
Inputs
#<alt (/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b))))>
#<alt (- (+ (/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b)))) (* 4 (* b b))) 1)>
#<alt (+ (/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b)))) (* 4 (* b b)))>
#<alt (+ (* a a) (* b b))>
#<alt (+ (* 4 (* b b)) -1)>
#<alt (* b b)>
#<alt (+ (* a (* a (* a (+ 4 a)))) -1)>
#<alt (* a (* a (+ 4 a)))>
#<alt (+ 4 a)>
#<alt (* a (+ 4 a))>
#<alt (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* b (* b 4)) -1))>
#<alt (+ (* b (* b 4)) -1)>
#<alt (/ (* (* (+ (* a (+ a 4)) (+ (* b (* b 2)) 4)) (- (* a (+ a 4)) (+ (* b (* b 2)) 4))) a) (- (* a (+ a 4)) (+ (* b (* b 2)) 4)))>
#<alt (- (* a (+ a 4)) (+ (* b (* b 2)) 4))>
#<alt (+ (* a (/ (* (* (+ (* a (+ a 4)) (+ (* b (* b 2)) 4)) (- (* a (+ a 4)) (+ (* b (* b 2)) 4))) a) (- (* a (+ a 4)) (+ (* b (* b 2)) 4)))) -1)>
#<alt (* (* (+ (* a (+ a 4)) (+ (* b (* b 2)) 4)) (- (* a (+ a 4)) (+ (* b (* b 2)) 4))) a)>
#<alt (/ 1 (+ (* a a) (* b b)))>
#<alt (* 4 (* b b))>
#<alt (* b 4)>
Outputs
#<alt (pow b 4)>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))>
#<alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))>
#<alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (pow a 4)>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))>
#<alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))>
#<alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (- (+ (* 4 (pow b 2)) (pow b 4)) 1)>
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))>
#<alt (- (pow a 4) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))>
#<alt (+ (* 4 (pow b 2)) (pow b 4))>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))>
#<alt (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))>
#<alt (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))>
#<alt (pow a 4)>
#<alt (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4))>
#<alt (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))>
#<alt (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))>
#<alt (pow b 2)>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (pow a 2)>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt -1>
#<alt (- (* 4 (pow b 2)) 1)>
#<alt (- (* 4 (pow b 2)) 1)>
#<alt (- (* 4 (pow b 2)) 1)>
#<alt (* 4 (pow b 2))>
#<alt (* (pow b 2) (- 4 (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- 4 (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- 4 (/ 1 (pow b 2))))>
#<alt (* 4 (pow b 2))>
#<alt (* (pow b 2) (- 4 (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- 4 (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- 4 (/ 1 (pow b 2))))>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt -1>
#<alt (- (* 4 (pow a 3)) 1)>
#<alt (- (* (pow a 3) (+ 4 a)) 1)>
#<alt (- (* (pow a 3) (+ 4 a)) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (- (+ 1 (* 4 (/ 1 a))) (/ 1 (pow a 4))))>
#<alt (* (pow a 4) (- (+ 1 (* 4 (/ 1 a))) (/ 1 (pow a 4))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (/ 1 (pow a 3)) 4) a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (/ 1 (pow a 3)) 4) a))))>
#<alt (* 4 (pow a 2))>
#<alt (* (pow a 2) (+ 4 a))>
#<alt (* (pow a 2) (+ 4 a))>
#<alt (* (pow a 2) (+ 4 a))>
#<alt (pow a 3)>
#<alt (* (pow a 3) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 3) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 3) (+ 1 (* 4 (/ 1 a))))>
#<alt (pow a 3)>
#<alt (* (pow a 3) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 3) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 3) (+ 1 (* 4 (/ 1 a))))>
#<alt 4>
#<alt (+ 4 a)>
#<alt (+ 4 a)>
#<alt (+ 4 a)>
#<alt a>
#<alt (* a (+ 1 (* 4 (/ 1 a))))>
#<alt (* a (+ 1 (* 4 (/ 1 a))))>
#<alt (* a (+ 1 (* 4 (/ 1 a))))>
#<alt a>
#<alt (* a (+ 1 (* 4 (/ 1 a))))>
#<alt (* a (+ 1 (* 4 (/ 1 a))))>
#<alt (* a (+ 1 (* 4 (/ 1 a))))>
#<alt (* 4 a)>
#<alt (* a (+ 4 a))>
#<alt (* a (+ 4 a))>
#<alt (* a (+ 4 a))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 a))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 a))))>
#<alt (- (+ (* 4 (pow b 2)) (pow b 4)) 1)>
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))>
#<alt (- (pow a 4) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))>
#<alt -1>
#<alt (- (* 4 (pow b 2)) 1)>
#<alt (- (* 4 (pow b 2)) 1)>
#<alt (- (* 4 (pow b 2)) 1)>
#<alt (* 4 (pow b 2))>
#<alt (* (pow b 2) (- 4 (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- 4 (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- 4 (/ 1 (pow b 2))))>
#<alt (* 4 (pow b 2))>
#<alt (* (pow b 2) (- 4 (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- 4 (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- 4 (/ 1 (pow b 2))))>
#<alt (* a (+ 4 (* 2 (pow b 2))))>
#<alt (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a))))>
#<alt (* a (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a)))))>
#<alt (* a (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a)))))>
#<alt (pow a 3)>
#<alt (* (pow a 3) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 3) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))>
#<alt (* (pow a 3) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))>
#<alt (pow a 3)>
#<alt (* (pow a 3) (+ 1 (* 4 (/ 1 a))))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))) a)) 1)))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))) a)) 1)))>
#<alt (* a (+ 4 (* a (+ 4 a))))>
#<alt (+ (* 2 (* a (pow b 2))) (* a (+ 4 (* a (+ 4 a)))))>
#<alt (+ (* 2 (* a (pow b 2))) (* a (+ 4 (* a (+ 4 a)))))>
#<alt (+ (* 2 (* a (pow b 2))) (* a (+ 4 (* a (+ 4 a)))))>
#<alt (* 2 (* a (pow b 2)))>
#<alt (* (pow b 2) (+ (* 2 a) (/ (* a (+ 4 (* a (+ 4 a)))) (pow b 2))))>
#<alt (* (pow b 2) (+ (* 2 a) (/ (* a (+ 4 (* a (+ 4 a)))) (pow b 2))))>
#<alt (* (pow b 2) (+ (* 2 a) (/ (* a (+ 4 (* a (+ 4 a)))) (pow b 2))))>
#<alt (* 2 (* a (pow b 2)))>
#<alt (* (pow b 2) (+ (* 2 a) (/ (* a (+ 4 (* a (+ 4 a)))) (pow b 2))))>
#<alt (* (pow b 2) (+ (* 2 a) (/ (* a (+ 4 (* a (+ 4 a)))) (pow b 2))))>
#<alt (* (pow b 2) (+ (* 2 a) (/ (* a (+ 4 (* a (+ 4 a)))) (pow b 2))))>
#<alt (* -1 (+ 4 (* 2 (pow b 2))))>
#<alt (- (* 4 a) (+ 4 (* 2 (pow b 2))))>
#<alt (- (* a (+ 4 a)) (+ 4 (* 2 (pow b 2))))>
#<alt (- (* a (+ 4 a)) (+ 4 (* 2 (pow b 2))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1 (+ (* -1 (/ (+ 4 (* 2 (pow b 2))) (pow a 2))) (* 4 (/ 1 a)))))>
#<alt (* (pow a 2) (+ 1 (+ (* -1 (/ (+ 4 (* 2 (pow b 2))) (pow a 2))) (* 4 (/ 1 a)))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (- (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a))) 4) a))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (- (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a))) 4) a))))>
#<alt (- (* a (+ 4 a)) 4)>
#<alt (- (+ (* -2 (pow b 2)) (* a (+ 4 a))) 4)>
#<alt (- (+ (* -2 (pow b 2)) (* a (+ 4 a))) 4)>
#<alt (- (+ (* -2 (pow b 2)) (* a (+ 4 a))) 4)>
#<alt (* -2 (pow b 2))>
#<alt (* (pow b 2) (- (/ (* a (+ 4 a)) (pow b 2)) (+ 2 (* 4 (/ 1 (pow b 2))))))>
#<alt (* (pow b 2) (- (/ (* a (+ 4 a)) (pow b 2)) (+ 2 (* 4 (/ 1 (pow b 2))))))>
#<alt (* (pow b 2) (- (/ (* a (+ 4 a)) (pow b 2)) (+ 2 (* 4 (/ 1 (pow b 2))))))>
#<alt (* -2 (pow b 2))>
#<alt (* (pow b 2) (- (/ (* a (+ 4 a)) (pow b 2)) (+ 2 (* 4 (/ 1 (pow b 2))))))>
#<alt (* (pow b 2) (- (/ (* a (+ 4 a)) (pow b 2)) (+ 2 (* 4 (/ 1 (pow b 2))))))>
#<alt (* (pow b 2) (- (/ (* a (+ 4 a)) (pow b 2)) (+ 2 (* 4 (/ 1 (pow b 2))))))>
#<alt -1>
#<alt (- (* (pow a 2) (+ 4 (* 2 (pow b 2)))) 1)>
#<alt (- (* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))) 1)>
#<alt (- (* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) (/ 1 (pow a 4))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- (+ 4 (* 2 (pow b 2))) (/ 1 (pow a 2))) a)) 4) a))))>
#<alt (- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)>
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 2) (+ 4 (* a (+ 4 a))))) 1)>
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 2) (+ 4 (* a (+ 4 a))))) 1)>
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 2) (+ 4 (* a (+ 4 a))))) 1)>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))) (/ 1 (pow b 2))))>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))) (/ 1 (pow b 2))))>
#<alt (* -1 (* a (pow (+ 4 (* 2 (pow b 2))) 2)))>
#<alt (* a (+ (* -1 (pow (+ 4 (* 2 (pow b 2))) 2)) (* a (+ (* -4 (+ 4 (* 2 (pow b 2)))) (* 4 (+ 4 (* 2 (pow b 2))))))))>
#<alt (* a (+ (* -1 (pow (+ 4 (* 2 (pow b 2))) 2)) (* a (+ (* -4 (+ 4 (* 2 (pow b 2)))) (+ (* 4 (+ 4 (* 2 (pow b 2)))) (* a (+ 20 (+ (* -1 (+ 4 (* 2 (pow b 2)))) (* 2 (pow b 2))))))))))>
#<alt (* a (+ (* -1 (pow (+ 4 (* 2 (pow b 2))) 2)) (* a (+ (* -4 (+ 4 (* 2 (pow b 2)))) (+ (* 4 (+ 4 (* 2 (pow b 2)))) (* a (+ 20 (+ (* -1 (+ 4 (* 2 (pow b 2)))) (+ (* 2 (pow b 2)) (* 8 a))))))))))>
#<alt (pow a 5)>
#<alt (* (pow a 5) (+ 1 (* 8 (/ 1 a))))>
#<alt (* (pow a 5) (+ 1 (+ (* -1 (/ (+ 4 (* 2 (pow b 2))) (pow a 2))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 8 (/ 1 a)) (/ 20 (pow a 2)))))))>
#<alt (* (pow a 5) (+ 1 (+ (* -4 (/ (+ 4 (* 2 (pow b 2))) (pow a 3))) (+ (* -1 (/ (+ 4 (* 2 (pow b 2))) (pow a 2))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (+ 4 (* 2 (pow b 2))) (pow a 3))) (+ (* 8 (/ 1 a)) (/ 20 (pow a 2)))))))))>
#<alt (pow a 5)>
#<alt (* (pow a 5) (+ 1 (* 8 (/ 1 a))))>
#<alt (* -1 (* (pow a 5) (- (* -1 (/ (+ 8 (+ (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) (+ (* 2 (/ (pow b 2) a)) (* 20 (/ 1 a))))) a)) 1)))>
#<alt (* -1 (* (pow a 5) (- (* -1 (/ (+ 8 (* -1 (/ (+ (* -4 (/ (+ 4 (* 2 (pow b 2))) a)) (+ (* -1 (+ 20 (+ (* -1 (+ 4 (* 2 (pow b 2)))) (* 2 (pow b 2))))) (* 4 (/ (+ 4 (* 2 (pow b 2))) a)))) a))) a)) 1)))>
#<alt (* a (* (+ 4 (* a (+ 4 a))) (- (* a (+ 4 a)) 4)))>
#<alt (+ (* a (* (+ 4 (* a (+ 4 a))) (- (* a (+ 4 a)) 4))) (* a (* (pow b 2) (+ (* -2 (+ 4 (* a (+ 4 a)))) (* 2 (- (* a (+ 4 a)) 4))))))>
#<alt (+ (* a (* (+ 4 (* a (+ 4 a))) (- (* a (+ 4 a)) 4))) (* (pow b 2) (+ (* -4 (* a (pow b 2))) (* a (+ (* -2 (+ 4 (* a (+ 4 a)))) (* 2 (- (* a (+ 4 a)) 4)))))))>
#<alt (+ (* a (* (+ 4 (* a (+ 4 a))) (- (* a (+ 4 a)) 4))) (* (pow b 2) (+ (* -4 (* a (pow b 2))) (* a (+ (* -2 (+ 4 (* a (+ 4 a)))) (* 2 (- (* a (+ 4 a)) 4)))))))>
#<alt (* -4 (* a (pow b 4)))>
#<alt (* (pow b 4) (+ (* -4 a) (/ (* a (+ (* -2 (+ 4 (* a (+ 4 a)))) (* 2 (- (* a (+ 4 a)) 4)))) (pow b 2))))>
#<alt (* (pow b 4) (+ (* -4 a) (+ (/ (* a (* (+ 4 (* a (+ 4 a))) (- (* a (+ 4 a)) 4))) (pow b 4)) (/ (* a (+ (* -2 (+ 4 (* a (+ 4 a)))) (* 2 (- (* a (+ 4 a)) 4)))) (pow b 2)))))>
#<alt (* (pow b 4) (+ (* -4 a) (+ (/ (* a (* (+ 4 (* a (+ 4 a))) (- (* a (+ 4 a)) 4))) (pow b 4)) (/ (* a (+ (* -2 (+ 4 (* a (+ 4 a)))) (* 2 (- (* a (+ 4 a)) 4)))) (pow b 2)))))>
#<alt (* -4 (* a (pow b 4)))>
#<alt (* (pow b 4) (+ (* -4 a) (/ (* a (+ (* -2 (+ 4 (* a (+ 4 a)))) (* 2 (- (* a (+ 4 a)) 4)))) (pow b 2))))>
#<alt (* (pow b 4) (+ (* -4 a) (+ (/ (* a (* (+ 4 (* a (+ 4 a))) (- (* a (+ 4 a)) 4))) (pow b 4)) (/ (* a (+ (* -2 (+ 4 (* a (+ 4 a)))) (* 2 (- (* a (+ 4 a)) 4)))) (pow b 2)))))>
#<alt (* (pow b 4) (+ (* -4 a) (+ (/ (* a (* (+ 4 (* a (+ 4 a))) (- (* a (+ 4 a)) 4))) (pow b 4)) (/ (* a (+ (* -2 (+ 4 (* a (+ 4 a)))) (* 2 (- (* a (+ 4 a)) 4)))) (pow b 2)))))>
#<alt (/ 1 (pow b 2))>
#<alt (+ (* -1 (/ (pow a 2) (pow b 4))) (/ 1 (pow b 2)))>
#<alt (+ (* (pow a 2) (- (/ (pow a 2) (pow b 6)) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))>
#<alt (+ (* (pow a 2) (- (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow b 8))) (/ 1 (pow b 6)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))>
#<alt (/ 1 (pow a 2))>
#<alt (/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))>
#<alt (/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2))>
#<alt (/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2))>
#<alt (/ 1 (pow a 2))>
#<alt (/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))>
#<alt (/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2))>
#<alt (/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2))>
#<alt (/ 1 (pow a 2))>
#<alt (+ (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))>
#<alt (+ (* (pow b 2) (- (/ (pow b 2) (pow a 6)) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))>
#<alt (+ (* (pow b 2) (- (* (pow b 2) (+ (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))>
#<alt (/ 1 (pow b 2))>
#<alt (/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2))>
#<alt (/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2))>
#<alt (/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 b)>
#<alt (* 4 b)>
#<alt (* 4 b)>
#<alt (* 4 b)>
#<alt (* 4 b)>
#<alt (* 4 b)>
#<alt (* 4 b)>
#<alt (* 4 b)>
#<alt (* 4 b)>
#<alt (* 4 b)>
#<alt (* 4 b)>
#<alt (* 4 b)>
Calls

87 calls:

TimeVariablePointExpression
5.0ms
a
@0
(* a (+ 4 a))
0.0ms
a
@0
(* (* (+ (* a (+ a 4)) (+ (* b (* b 2)) 4)) (- (* a (+ a 4)) (+ (* b (* b 2)) 4))) a)
0.0ms
b
@0
(* (* (+ (* a (+ a 4)) (+ (* b (* b 2)) 4)) (- (* a (+ a 4)) (+ (* b (* b 2)) 4))) a)
0.0ms
b
@inf
(* (* (+ (* a (+ a 4)) (+ (* b (* b 2)) 4)) (- (* a (+ a 4)) (+ (* b (* b 2)) 4))) a)
0.0ms
a
@inf
(* (* (+ (* a (+ a 4)) (+ (* b (* b 2)) 4)) (- (* a (+ a 4)) (+ (* b (* b 2)) 4))) a)

rewrite492.0ms (3.6%)

Memory
16.0MiB live, 647.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
8 018×accelerator-lowering-fma.f32
8 018×accelerator-lowering-fma.f64
4 908×/-lowering-/.f32
4 908×/-lowering-/.f64
4 718×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037289
1257189
22447189
09625170
Stop Event
iter limit
node limit
Counts
19 → 920
Calls
Call 1
Inputs
(/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b))))
(- (+ (/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b)))) (* 4 (* b b))) 1)
(+ (/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b)))) (* 4 (* b b)))
(+ (* a a) (* b b))
(+ (* 4 (* b b)) -1)
(* b b)
(+ (* a (* a (* a (+ 4 a)))) -1)
(* a (* a (+ 4 a)))
(+ 4 a)
(* a (+ 4 a))
(+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* b (* b 4)) -1))
(+ (* b (* b 4)) -1)
(/ (* (* (+ (* a (+ a 4)) (+ (* b (* b 2)) 4)) (- (* a (+ a 4)) (+ (* b (* b 2)) 4))) a) (- (* a (+ a 4)) (+ (* b (* b 2)) 4)))
(- (* a (+ a 4)) (+ (* b (* b 2)) 4))
(+ (* a (/ (* (* (+ (* a (+ a 4)) (+ (* b (* b 2)) 4)) (- (* a (+ a 4)) (+ (* b (* b 2)) 4))) a) (- (* a (+ a 4)) (+ (* b (* b 2)) 4)))) -1)
(* (* (+ (* a (+ a 4)) (+ (* b (* b 2)) 4)) (- (* a (+ a 4)) (+ (* b (* b 2)) 4))) a)
(/ 1 (+ (* a a) (* b b)))
(* 4 (* b b))
(* b 4)
Outputs
(+.f64 (*.f64 a (*.f64 a (fma.f64 b b (*.f64 a a)))) (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) b) b))
(+.f64 (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) b) b) (*.f64 a (*.f64 a (fma.f64 b b (*.f64 a a)))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (fma.f64 b b (*.f64 a a)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (/.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (+.f64 a b) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))))
(-.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))) (*.f64 (+.f64 a b) (-.f64 a b)))))
(-.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a (fma.f64 b b (*.f64 a a)))) (*.f64 a (*.f64 a (fma.f64 b b (*.f64 a a))))) (-.f64 (*.f64 a (*.f64 a (fma.f64 b b (*.f64 a a)))) (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) b) b))) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) b) b) (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) b) b)) (-.f64 (*.f64 a (*.f64 a (fma.f64 b b (*.f64 a a)))) (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) b) b))))
(fma.f64 a (*.f64 a (fma.f64 b b (*.f64 a a))) (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) b) b))
(fma.f64 (*.f64 a a) (fma.f64 b b (*.f64 a a)) (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) b) b))
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 a a))) (*.f64 a (*.f64 a (fma.f64 b b (*.f64 a a)))))
(fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)) (*.f64 a (*.f64 a (fma.f64 b b (*.f64 a a)))))
(fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 a a) (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) b) b))
(fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b) (*.f64 a (*.f64 a (fma.f64 b b (*.f64 a a)))))
(fma.f64 (*.f64 (fma.f64 b b (*.f64 a a)) a) a (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) b) b))
(fma.f64 (*.f64 (fma.f64 b b (*.f64 a a)) b) b (*.f64 a (*.f64 a (fma.f64 b b (*.f64 a a)))))
(fma.f64 (/.f64 (*.f64 b b) (+.f64 a b)) (/.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b))) (-.f64 a b)) (*.f64 a (*.f64 a (fma.f64 b b (*.f64 a a)))))
(fma.f64 (/.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b))) (+.f64 a b)) (/.f64 (*.f64 b b) (-.f64 a b)) (*.f64 a (*.f64 a (fma.f64 b b (*.f64 a a)))))
(fma.f64 (/.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b))) (+.f64 a b)) (/.f64 (*.f64 a a) (-.f64 a b)) (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) b) b))
(fma.f64 (/.f64 (*.f64 a a) (+.f64 a b)) (/.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b))) (-.f64 a b)) (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) b) b))
(neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))))
(/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))))))
(/.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))))))
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(pow.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (fma.f64 b b (*.f64 a a)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 b b (*.f64 a a))))
(*.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a))))) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b)))) (*.f64 (+.f64 a b) (-.f64 a b)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) #s(literal -1 binary64)))
(*.f64 b (*.f64 b #s(literal 4 binary64)))
(*.f64 (*.f64 b b) #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) (*.f64 b b))
(*.f64 (*.f64 b #s(literal 4 binary64)) b)
(*.f64 b #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) b)

simplify411.0ms (3%)

Memory
-22.4MiB live, 427.1MiB allocated
Algorithm
egg-herbie
Rules
11 776×accelerator-lowering-fma.f32
11 776×accelerator-lowering-fma.f64
4 462×*-lowering-*.f32
4 462×*-lowering-*.f64
3 078×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03525081
111614903
236464790
373194766
081104471
Stop Event
iter limit
node limit
Counts
348 → 348
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)) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(- (pow a 4) 1)
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (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 (/ 1 (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 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (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 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* (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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(pow a 4)
(+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4))
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (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 (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (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))))
-1
(- (* 4 (pow b 2)) 1)
(- (* 4 (pow b 2)) 1)
(- (* 4 (pow b 2)) 1)
(* 4 (pow b 2))
(* (pow b 2) (- 4 (/ 1 (pow b 2))))
(* (pow b 2) (- 4 (/ 1 (pow b 2))))
(* (pow b 2) (- 4 (/ 1 (pow b 2))))
(* 4 (pow b 2))
(* (pow b 2) (- 4 (/ 1 (pow b 2))))
(* (pow b 2) (- 4 (/ 1 (pow b 2))))
(* (pow b 2) (- 4 (/ 1 (pow b 2))))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
-1
(- (* 4 (pow a 3)) 1)
(- (* (pow a 3) (+ 4 a)) 1)
(- (* (pow a 3) (+ 4 a)) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (* 4 (/ 1 a))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (* 4 (/ 1 a))) (/ 1 (pow a 4))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (/ 1 (pow a 3)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (/ 1 (pow a 3)) 4) a))))
(* 4 (pow a 2))
(* (pow a 2) (+ 4 a))
(* (pow a 2) (+ 4 a))
(* (pow a 2) (+ 4 a))
(pow a 3)
(* (pow a 3) (+ 1 (* 4 (/ 1 a))))
(* (pow a 3) (+ 1 (* 4 (/ 1 a))))
(* (pow a 3) (+ 1 (* 4 (/ 1 a))))
(pow a 3)
(* (pow a 3) (+ 1 (* 4 (/ 1 a))))
(* (pow a 3) (+ 1 (* 4 (/ 1 a))))
(* (pow a 3) (+ 1 (* 4 (/ 1 a))))
4
(+ 4 a)
(+ 4 a)
(+ 4 a)
a
(* a (+ 1 (* 4 (/ 1 a))))
(* a (+ 1 (* 4 (/ 1 a))))
(* a (+ 1 (* 4 (/ 1 a))))
a
(* a (+ 1 (* 4 (/ 1 a))))
(* a (+ 1 (* 4 (/ 1 a))))
(* a (+ 1 (* 4 (/ 1 a))))
(* 4 a)
(* a (+ 4 a))
(* a (+ 4 a))
(* a (+ 4 a))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(- (pow a 4) 1)
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (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 (/ 1 (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 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (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 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
-1
(- (* 4 (pow b 2)) 1)
(- (* 4 (pow b 2)) 1)
(- (* 4 (pow b 2)) 1)
(* 4 (pow b 2))
(* (pow b 2) (- 4 (/ 1 (pow b 2))))
(* (pow b 2) (- 4 (/ 1 (pow b 2))))
(* (pow b 2) (- 4 (/ 1 (pow b 2))))
(* 4 (pow b 2))
(* (pow b 2) (- 4 (/ 1 (pow b 2))))
(* (pow b 2) (- 4 (/ 1 (pow b 2))))
(* (pow b 2) (- 4 (/ 1 (pow b 2))))
(* a (+ 4 (* 2 (pow b 2))))
(* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a))))
(* a (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a)))))
(* a (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a)))))
(pow a 3)
(* (pow a 3) (+ 1 (* 4 (/ 1 a))))
(* (pow a 3) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 3) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(pow a 3)
(* (pow a 3) (+ 1 (* 4 (/ 1 a))))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))) a)) 1)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))) a)) 1)))
(* a (+ 4 (* a (+ 4 a))))
(+ (* 2 (* a (pow b 2))) (* a (+ 4 (* a (+ 4 a)))))
(+ (* 2 (* a (pow b 2))) (* a (+ 4 (* a (+ 4 a)))))
(+ (* 2 (* a (pow b 2))) (* a (+ 4 (* a (+ 4 a)))))
(* 2 (* a (pow b 2)))
(* (pow b 2) (+ (* 2 a) (/ (* a (+ 4 (* a (+ 4 a)))) (pow b 2))))
(* (pow b 2) (+ (* 2 a) (/ (* a (+ 4 (* a (+ 4 a)))) (pow b 2))))
(* (pow b 2) (+ (* 2 a) (/ (* a (+ 4 (* a (+ 4 a)))) (pow b 2))))
(* 2 (* a (pow b 2)))
(* (pow b 2) (+ (* 2 a) (/ (* a (+ 4 (* a (+ 4 a)))) (pow b 2))))
(* (pow b 2) (+ (* 2 a) (/ (* a (+ 4 (* a (+ 4 a)))) (pow b 2))))
(* (pow b 2) (+ (* 2 a) (/ (* a (+ 4 (* a (+ 4 a)))) (pow b 2))))
(* -1 (+ 4 (* 2 (pow b 2))))
(- (* 4 a) (+ 4 (* 2 (pow b 2))))
(- (* a (+ 4 a)) (+ 4 (* 2 (pow b 2))))
(- (* a (+ 4 a)) (+ 4 (* 2 (pow b 2))))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* -1 (/ (+ 4 (* 2 (pow b 2))) (pow a 2))) (* 4 (/ 1 a)))))
(* (pow a 2) (+ 1 (+ (* -1 (/ (+ 4 (* 2 (pow b 2))) (pow a 2))) (* 4 (/ 1 a)))))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (* -1 (/ (- (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a))) 4) a))))
(* (pow a 2) (+ 1 (* -1 (/ (- (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a))) 4) a))))
(- (* a (+ 4 a)) 4)
(- (+ (* -2 (pow b 2)) (* a (+ 4 a))) 4)
(- (+ (* -2 (pow b 2)) (* a (+ 4 a))) 4)
(- (+ (* -2 (pow b 2)) (* a (+ 4 a))) 4)
(* -2 (pow b 2))
(* (pow b 2) (- (/ (* a (+ 4 a)) (pow b 2)) (+ 2 (* 4 (/ 1 (pow b 2))))))
(* (pow b 2) (- (/ (* a (+ 4 a)) (pow b 2)) (+ 2 (* 4 (/ 1 (pow b 2))))))
(* (pow b 2) (- (/ (* a (+ 4 a)) (pow b 2)) (+ 2 (* 4 (/ 1 (pow b 2))))))
(* -2 (pow b 2))
(* (pow b 2) (- (/ (* a (+ 4 a)) (pow b 2)) (+ 2 (* 4 (/ 1 (pow b 2))))))
(* (pow b 2) (- (/ (* a (+ 4 a)) (pow b 2)) (+ 2 (* 4 (/ 1 (pow b 2))))))
(* (pow b 2) (- (/ (* a (+ 4 a)) (pow b 2)) (+ 2 (* 4 (/ 1 (pow b 2))))))
-1
(- (* (pow a 2) (+ 4 (* 2 (pow b 2)))) 1)
(- (* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))) 1)
(- (* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 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 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- (+ 4 (* 2 (pow b 2))) (/ 1 (pow a 2))) a)) 4) a))))
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 2) (+ 4 (* a (+ 4 a))))) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 2) (+ 4 (* a (+ 4 a))))) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 2) (+ 4 (* a (+ 4 a))))) 1)
(* 2 (* (pow a 2) (pow b 2)))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))) (/ 1 (pow b 2))))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))) (/ 1 (pow b 2))))
(* -1 (* a (pow (+ 4 (* 2 (pow b 2))) 2)))
(* a (+ (* -1 (pow (+ 4 (* 2 (pow b 2))) 2)) (* a (+ (* -4 (+ 4 (* 2 (pow b 2)))) (* 4 (+ 4 (* 2 (pow b 2))))))))
(* a (+ (* -1 (pow (+ 4 (* 2 (pow b 2))) 2)) (* a (+ (* -4 (+ 4 (* 2 (pow b 2)))) (+ (* 4 (+ 4 (* 2 (pow b 2)))) (* a (+ 20 (+ (* -1 (+ 4 (* 2 (pow b 2)))) (* 2 (pow b 2))))))))))
(* a (+ (* -1 (pow (+ 4 (* 2 (pow b 2))) 2)) (* a (+ (* -4 (+ 4 (* 2 (pow b 2)))) (+ (* 4 (+ 4 (* 2 (pow b 2)))) (* a (+ 20 (+ (* -1 (+ 4 (* 2 (pow b 2)))) (+ (* 2 (pow b 2)) (* 8 a))))))))))
(pow a 5)
(* (pow a 5) (+ 1 (* 8 (/ 1 a))))
(* (pow a 5) (+ 1 (+ (* -1 (/ (+ 4 (* 2 (pow b 2))) (pow a 2))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 8 (/ 1 a)) (/ 20 (pow a 2)))))))
(* (pow a 5) (+ 1 (+ (* -4 (/ (+ 4 (* 2 (pow b 2))) (pow a 3))) (+ (* -1 (/ (+ 4 (* 2 (pow b 2))) (pow a 2))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (+ 4 (* 2 (pow b 2))) (pow a 3))) (+ (* 8 (/ 1 a)) (/ 20 (pow a 2)))))))))
(pow a 5)
(* (pow a 5) (+ 1 (* 8 (/ 1 a))))
(* -1 (* (pow a 5) (- (* -1 (/ (+ 8 (+ (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) (+ (* 2 (/ (pow b 2) a)) (* 20 (/ 1 a))))) a)) 1)))
(* -1 (* (pow a 5) (- (* -1 (/ (+ 8 (* -1 (/ (+ (* -4 (/ (+ 4 (* 2 (pow b 2))) a)) (+ (* -1 (+ 20 (+ (* -1 (+ 4 (* 2 (pow b 2)))) (* 2 (pow b 2))))) (* 4 (/ (+ 4 (* 2 (pow b 2))) a)))) a))) a)) 1)))
(* a (* (+ 4 (* a (+ 4 a))) (- (* a (+ 4 a)) 4)))
(+ (* a (* (+ 4 (* a (+ 4 a))) (- (* a (+ 4 a)) 4))) (* a (* (pow b 2) (+ (* -2 (+ 4 (* a (+ 4 a)))) (* 2 (- (* a (+ 4 a)) 4))))))
(+ (* a (* (+ 4 (* a (+ 4 a))) (- (* a (+ 4 a)) 4))) (* (pow b 2) (+ (* -4 (* a (pow b 2))) (* a (+ (* -2 (+ 4 (* a (+ 4 a)))) (* 2 (- (* a (+ 4 a)) 4)))))))
(+ (* a (* (+ 4 (* a (+ 4 a))) (- (* a (+ 4 a)) 4))) (* (pow b 2) (+ (* -4 (* a (pow b 2))) (* a (+ (* -2 (+ 4 (* a (+ 4 a)))) (* 2 (- (* a (+ 4 a)) 4)))))))
(* -4 (* a (pow b 4)))
(* (pow b 4) (+ (* -4 a) (/ (* a (+ (* -2 (+ 4 (* a (+ 4 a)))) (* 2 (- (* a (+ 4 a)) 4)))) (pow b 2))))
(* (pow b 4) (+ (* -4 a) (+ (/ (* a (* (+ 4 (* a (+ 4 a))) (- (* a (+ 4 a)) 4))) (pow b 4)) (/ (* a (+ (* -2 (+ 4 (* a (+ 4 a)))) (* 2 (- (* a (+ 4 a)) 4)))) (pow b 2)))))
(* (pow b 4) (+ (* -4 a) (+ (/ (* a (* (+ 4 (* a (+ 4 a))) (- (* a (+ 4 a)) 4))) (pow b 4)) (/ (* a (+ (* -2 (+ 4 (* a (+ 4 a)))) (* 2 (- (* a (+ 4 a)) 4)))) (pow b 2)))))
(* -4 (* a (pow b 4)))
(* (pow b 4) (+ (* -4 a) (/ (* a (+ (* -2 (+ 4 (* a (+ 4 a)))) (* 2 (- (* a (+ 4 a)) 4)))) (pow b 2))))
(* (pow b 4) (+ (* -4 a) (+ (/ (* a (* (+ 4 (* a (+ 4 a))) (- (* a (+ 4 a)) 4))) (pow b 4)) (/ (* a (+ (* -2 (+ 4 (* a (+ 4 a)))) (* 2 (- (* a (+ 4 a)) 4)))) (pow b 2)))))
(* (pow b 4) (+ (* -4 a) (+ (/ (* a (* (+ 4 (* a (+ 4 a))) (- (* a (+ 4 a)) 4))) (pow b 4)) (/ (* a (+ (* -2 (+ 4 (* a (+ 4 a)))) (* 2 (- (* a (+ 4 a)) 4)))) (pow b 2)))))
(/ 1 (pow b 2))
(+ (* -1 (/ (pow a 2) (pow b 4))) (/ 1 (pow b 2)))
(+ (* (pow a 2) (- (/ (pow a 2) (pow b 6)) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(+ (* (pow a 2) (- (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow b 8))) (/ 1 (pow b 6)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(/ 1 (pow a 2))
(/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2))
(/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ 1 (pow a 2))
(/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2))
(/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ 1 (pow a 2))
(+ (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))
(+ (* (pow b 2) (- (/ (pow b 2) (pow a 6)) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(+ (* (pow b 2) (- (* (pow b 2) (+ (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(/ 1 (pow b 2))
(/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2))
(/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ 1 (pow b 2))
(/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2))
(/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 b)
(* 4 b)
(* 4 b)
(* 4 b)
(* 4 b)
(* 4 b)
(* 4 b)
(* 4 b)
(* 4 b)
(* 4 b)
(* 4 b)
(* 4 b)
Outputs
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(*.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a))))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.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)))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 b (/.f64 (*.f64 b (*.f64 b b)) (*.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)))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 b (/.f64 (*.f64 b (*.f64 b b)) (*.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)))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 b (/.f64 (*.f64 b (*.f64 b b)) (*.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)))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 b (/.f64 (*.f64 b (*.f64 b b)) (*.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 (*.f64 b b)) (*.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 (*.f64 b b)) (*.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.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 #s(literal 2 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 a (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 a (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 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)))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 a (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 a (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 a (*.f64 b b)) #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))
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal -1 binary64))
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (fma.f64 (*.f64 b b) (/.f64 (*.f64 b b) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (*.f64 a a))))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (fma.f64 (*.f64 b b) (/.f64 (*.f64 b b) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (*.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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (fma.f64 (*.f64 b b) (/.f64 (*.f64 b b) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (*.f64 a a))))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (fma.f64 (*.f64 b b) (/.f64 (*.f64 b b) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (*.f64 a a))))))
(- (pow a 4) 1)
(fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1 binary64))
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
(fma.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a (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 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 #s(literal 4 binary64) (*.f64 b b)))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (+.f64 (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 a (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) (/.f64 #s(literal 4 binary64) (*.f64 b b))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (+.f64 (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 a (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) (/.f64 #s(literal 4 binary64) (*.f64 b b))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 #s(literal 4 binary64) (*.f64 b b)))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (+.f64 (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 a (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) (/.f64 #s(literal 4 binary64) (*.f64 b b))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (+.f64 (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 a (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) (/.f64 #s(literal 4 binary64) (*.f64 b b))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))
(+ (* 4 (pow b 2)) (pow b 4))
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))
(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))))
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (*.f64 a a))))
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (*.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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (fma.f64 (*.f64 b b) (/.f64 (*.f64 b b) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1 binary64))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (fma.f64 (*.f64 b b) (/.f64 (*.f64 b b) (*.f64 a (*.f64 a (*.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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (fma.f64 (*.f64 b b) (/.f64 (*.f64 b b) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1 binary64))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (fma.f64 (*.f64 b b) (/.f64 (*.f64 b b) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1 binary64))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4))
(fma.f64 b (*.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a))))
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (*.f64 a a))))
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (*.f64 a a))))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 #s(literal 4 binary64) (*.f64 b b)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 a (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) (/.f64 #s(literal 4 binary64) (*.f64 b b))))
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(*.f64 (*.f64 a (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)))
(+ (* a (* (+ 4 (* a (+ 4 a))) (- (* a (+ 4 a)) 4))) (* a (* (pow b 2) (+ (* -2 (+ 4 (* a (+ 4 a)))) (* 2 (- (* a (+ 4 a)) 4))))))
(*.f64 a (fma.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (fma.f64 a (+.f64 #s(literal 4 binary64) a) (fma.f64 (*.f64 b b) #s(literal -2 binary64) #s(literal -4 binary64))) (*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) a)) #s(literal -8 binary64)))))
(+ (* a (* (+ 4 (* a (+ 4 a))) (- (* a (+ 4 a)) 4))) (* (pow b 2) (+ (* -4 (* a (pow b 2))) (* a (+ (* -2 (+ 4 (* a (+ 4 a)))) (* 2 (- (* a (+ 4 a)) 4)))))))
(fma.f64 (*.f64 b b) (*.f64 a (fma.f64 #s(literal -4 binary64) (*.f64 b b) (fma.f64 #s(literal 2 binary64) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)) (fma.f64 a (*.f64 (+.f64 #s(literal 4 binary64) a) #s(literal -2 binary64)) #s(literal -8 binary64))))) (*.f64 (*.f64 a (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))))
(+ (* a (* (+ 4 (* a (+ 4 a))) (- (* a (+ 4 a)) 4))) (* (pow b 2) (+ (* -4 (* a (pow b 2))) (* a (+ (* -2 (+ 4 (* a (+ 4 a)))) (* 2 (- (* a (+ 4 a)) 4)))))))
(fma.f64 (*.f64 b b) (*.f64 a (fma.f64 #s(literal -4 binary64) (*.f64 b b) (fma.f64 #s(literal 2 binary64) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)) (fma.f64 a (*.f64 (+.f64 #s(literal 4 binary64) a) #s(literal -2 binary64)) #s(literal -8 binary64))))) (*.f64 (*.f64 a (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))))
(* -4 (* a (pow b 4)))
(*.f64 b (*.f64 b (*.f64 (*.f64 a (*.f64 b b)) #s(literal -4 binary64))))
(* (pow b 4) (+ (* -4 a) (/ (* a (+ (* -2 (+ 4 (* a (+ 4 a)))) (* 2 (- (* a (+ 4 a)) 4)))) (pow b 2))))
(*.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) a) (+.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)) (fma.f64 a (*.f64 (+.f64 #s(literal 4 binary64) a) #s(literal -2 binary64)) #s(literal -8 binary64))) (*.f64 b b))))
(* (pow b 4) (+ (* -4 a) (+ (/ (* a (* (+ 4 (* a (+ 4 a))) (- (* a (+ 4 a)) 4))) (pow b 4)) (/ (* a (+ (* -2 (+ 4 (* a (+ 4 a)))) (* 2 (- (* a (+ 4 a)) 4)))) (pow b 2)))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (+.f64 #s(literal -4 binary64) (fma.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)) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)) (fma.f64 a (*.f64 (+.f64 #s(literal 4 binary64) a) #s(literal -2 binary64)) #s(literal -8 binary64))) (*.f64 b b))))))
(* (pow b 4) (+ (* -4 a) (+ (/ (* a (* (+ 4 (* a (+ 4 a))) (- (* a (+ 4 a)) 4))) (pow b 4)) (/ (* a (+ (* -2 (+ 4 (* a (+ 4 a)))) (* 2 (- (* a (+ 4 a)) 4)))) (pow b 2)))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (+.f64 #s(literal -4 binary64) (fma.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)) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)) (fma.f64 a (*.f64 (+.f64 #s(literal 4 binary64) a) #s(literal -2 binary64)) #s(literal -8 binary64))) (*.f64 b b))))))
(* -4 (* a (pow b 4)))
(*.f64 b (*.f64 b (*.f64 (*.f64 a (*.f64 b b)) #s(literal -4 binary64))))
(* (pow b 4) (+ (* -4 a) (/ (* a (+ (* -2 (+ 4 (* a (+ 4 a)))) (* 2 (- (* a (+ 4 a)) 4)))) (pow b 2))))
(*.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) a) (+.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)) (fma.f64 a (*.f64 (+.f64 #s(literal 4 binary64) a) #s(literal -2 binary64)) #s(literal -8 binary64))) (*.f64 b b))))
(* (pow b 4) (+ (* -4 a) (+ (/ (* a (* (+ 4 (* a (+ 4 a))) (- (* a (+ 4 a)) 4))) (pow b 4)) (/ (* a (+ (* -2 (+ 4 (* a (+ 4 a)))) (* 2 (- (* a (+ 4 a)) 4)))) (pow b 2)))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (+.f64 #s(literal -4 binary64) (fma.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)) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)) (fma.f64 a (*.f64 (+.f64 #s(literal 4 binary64) a) #s(literal -2 binary64)) #s(literal -8 binary64))) (*.f64 b b))))))
(* (pow b 4) (+ (* -4 a) (+ (/ (* a (* (+ 4 (* a (+ 4 a))) (- (* a (+ 4 a)) 4))) (pow b 4)) (/ (* a (+ (* -2 (+ 4 (* a (+ 4 a)))) (* 2 (- (* a (+ 4 a)) 4)))) (pow b 2)))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (+.f64 #s(literal -4 binary64) (fma.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)) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)) (fma.f64 a (*.f64 (+.f64 #s(literal 4 binary64) a) #s(literal -2 binary64)) #s(literal -8 binary64))) (*.f64 b b))))))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(+ (* -1 (/ (pow a 2) (pow b 4))) (/ 1 (pow b 2)))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b))
(+ (* (pow a 2) (- (/ (pow a 2) (pow b 6)) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(fma.f64 (*.f64 a a) (fma.f64 a (/.f64 a (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(+ (* (pow a 2) (- (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow b 8))) (/ 1 (pow b 6)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64))) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 8 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))) (*.f64 a a))
(/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2))
(/.f64 (-.f64 (fma.f64 (*.f64 b b) (/.f64 (*.f64 b b) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1 binary64)) (/.f64 (*.f64 b b) (*.f64 a a))) (*.f64 a a))
(/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2))
(/.f64 (-.f64 (-.f64 (fma.f64 (*.f64 b b) (/.f64 (*.f64 b b) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1 binary64)) (/.f64 (*.f64 b b) (*.f64 a a))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (*.f64 a a))
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))) (*.f64 a a))
(/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2))
(/.f64 (-.f64 (fma.f64 (*.f64 b b) (/.f64 (*.f64 b b) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1 binary64)) (/.f64 (*.f64 b b) (*.f64 a a))) (*.f64 a a))
(/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2))
(/.f64 (-.f64 (-.f64 (fma.f64 (*.f64 b b) (/.f64 (*.f64 b b) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1 binary64)) (/.f64 (*.f64 b b) (*.f64 a a))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (*.f64 a a))
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(+ (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))) (*.f64 a a))
(+ (* (pow b 2) (- (/ (pow b 2) (pow a 6)) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(fma.f64 (*.f64 b b) (fma.f64 b (/.f64 b (pow.f64 a #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(+ (* (pow b 2) (- (* (pow b 2) (+ (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 6 binary64))) (*.f64 b (/.f64 b (pow.f64 a #s(literal 8 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2))
(/.f64 (-.f64 (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 a (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 1 binary64)) (/.f64 (*.f64 a a) (*.f64 b b))) (*.f64 b b))
(/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2))
(/.f64 (-.f64 (-.f64 (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 a (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 1 binary64)) (/.f64 (*.f64 a a) (*.f64 b b))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2))
(/.f64 (-.f64 (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 a (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 1 binary64)) (/.f64 (*.f64 a a) (*.f64 b b))) (*.f64 b b))
(/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2))
(/.f64 (-.f64 (-.f64 (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 a (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 1 binary64)) (/.f64 (*.f64 a a) (*.f64 b b))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (*.f64 b b))
(* 4 (pow b 2))
(*.f64 b (*.f64 b #s(literal 4 binary64)))
(* 4 (pow b 2))
(*.f64 b (*.f64 b #s(literal 4 binary64)))
(* 4 (pow b 2))
(*.f64 b (*.f64 b #s(literal 4 binary64)))
(* 4 (pow b 2))
(*.f64 b (*.f64 b #s(literal 4 binary64)))
(* 4 (pow b 2))
(*.f64 b (*.f64 b #s(literal 4 binary64)))
(* 4 (pow b 2))
(*.f64 b (*.f64 b #s(literal 4 binary64)))
(* 4 (pow b 2))
(*.f64 b (*.f64 b #s(literal 4 binary64)))
(* 4 (pow b 2))
(*.f64 b (*.f64 b #s(literal 4 binary64)))
(* 4 (pow b 2))
(*.f64 b (*.f64 b #s(literal 4 binary64)))
(* 4 (pow b 2))
(*.f64 b (*.f64 b #s(literal 4 binary64)))
(* 4 (pow b 2))
(*.f64 b (*.f64 b #s(literal 4 binary64)))
(* 4 (pow b 2))
(*.f64 b (*.f64 b #s(literal 4 binary64)))
(* 4 b)
(*.f64 b #s(literal 4 binary64))
(* 4 b)
(*.f64 b #s(literal 4 binary64))
(* 4 b)
(*.f64 b #s(literal 4 binary64))
(* 4 b)
(*.f64 b #s(literal 4 binary64))
(* 4 b)
(*.f64 b #s(literal 4 binary64))
(* 4 b)
(*.f64 b #s(literal 4 binary64))
(* 4 b)
(*.f64 b #s(literal 4 binary64))
(* 4 b)
(*.f64 b #s(literal 4 binary64))
(* 4 b)
(*.f64 b #s(literal 4 binary64))
(* 4 b)
(*.f64 b #s(literal 4 binary64))
(* 4 b)
(*.f64 b #s(literal 4 binary64))
(* 4 b)
(*.f64 b #s(literal 4 binary64))

eval235.0ms (1.7%)

Memory
42.2MiB live, 259.5MiB allocated
Compiler

Compiled 71 173 to 3 740 computations (94.7% saved)

prune177.0ms (1.3%)

Memory
-30.7MiB live, 267.5MiB allocated
Pruning

22 alts after pruning (18 fresh and 4 done)

PrunedKeptTotal
New1 68991 698
Fresh4913
Picked325
Done022
Total1 696221 718
Accuracy
100.0%
Counts
1 718 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
13.7%
(fma.f64 (fma.f64 (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) (*.f64 (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 b b)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 (*.f64 b b) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 b b)) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 b b)) (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))) (*.f64 (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))))) #s(literal -1 binary64))
72.3%
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
98.4%
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))
98.7%
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 b b)) a) (*.f64 a a)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
40.8%
(fma.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 (/.f64 a (-.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))) a) #s(literal -1 binary64))
41.3%
(fma.f64 (*.f64 a (*.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))) (-.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64))
65.0%
(fma.f64 (*.f64 a (*.f64 a a)) (+.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))
64.6%
(fma.f64 (*.f64 a (*.f64 a a)) a #s(literal -1 binary64))
39.3%
(fma.f64 a (/.f64 (*.f64 (*.f64 a a) (fma.f64 a (*.f64 a a) #s(literal 64 binary64))) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 16 binary64))) #s(literal -1 binary64))
65.7%
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64))
65.1%
(fma.f64 a (*.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))) #s(literal -1 binary64))
52.0%
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))
32.6%
(/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 (+.f64 a #s(literal 4 binary64)) (+.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 (*.f64 a a) (*.f64 a (+.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)))
72.0%
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1 binary64))
82.4%
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
30.4%
(-.f64 (*.f64 (*.f64 b b) (/.f64 (fma.f64 (*.f64 b (*.f64 b 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))))) #s(literal 1 binary64))
53.1%
(-.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a))) #s(literal 1 binary64))
65.7%
(-.f64 (*.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) #s(literal 1 binary64))
48.6%
(*.f64 b (*.f64 b (*.f64 b b)))
28.6%
(*.f64 b (*.f64 b #s(literal 4 binary64)))
41.4%
(*.f64 a (*.f64 a (*.f64 a a)))
24.9%
#s(literal -1 binary64)
Compiler

Compiled 1 740 to 430 computations (75.3% saved)

regimes63.0ms (0.5%)

Memory
-5.3MiB live, 72.8MiB allocated
Counts
47 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
(*.f64 b (*.f64 b #s(literal 4 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))
(*.f64 a (*.f64 a (*.f64 a a)))
(*.f64 b (*.f64 b (*.f64 b b)))
(*.f64 (*.f64 a a) (*.f64 a a))
(fma.f64 (*.f64 a (*.f64 a a)) a #s(literal -1 binary64))
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
(-.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1 binary64))
(-.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 1 binary64))
(-.f64 (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))) #s(literal 1 binary64))
(fma.f64 a (*.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))) #s(literal -1 binary64))
(fma.f64 (*.f64 a (*.f64 a a)) (+.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
(-.f64 (*.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) #s(literal 1 binary64))
(-.f64 (*.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 (*.f64 a (fma.f64 a a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))) #s(literal -1 binary64))
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))) #s(literal -1 binary64))
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1 binary64))
(fma.f64 a (/.f64 (*.f64 (*.f64 a a) (fma.f64 a (*.f64 a a) #s(literal 64 binary64))) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 16 binary64))) #s(literal -1 binary64))
(-.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a))) #s(literal 1 binary64))
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(-.f64 (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.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))
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 b b)) a) (*.f64 a a)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
(-.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.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))) #s(literal 1 binary64))
(-.f64 (/.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)) (*.f64 #s(literal 4 binary64) (*.f64 b b))))) #s(literal 1 binary64))
(-.f64 (fma.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))) #s(literal 4 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))) #s(literal 1 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 (+.f64 a #s(literal 4 binary64)) (+.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 (*.f64 a a) (*.f64 a (+.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)))
(-.f64 (*.f64 (*.f64 b b) (/.f64 (fma.f64 (*.f64 b (*.f64 b 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))))) #s(literal 1 binary64))
(-.f64 (/.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)) (*.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))))))) #s(literal 1 binary64))
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
(fma.f64 a (/.f64 (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))) a) (-.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64))
(fma.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 (/.f64 a (-.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))) a) #s(literal -1 binary64))
(fma.f64 (*.f64 a (*.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))) (-.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64))
(-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))
(-.f64 (+.f64 (/.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 #s(literal 4 binary64) (+.f64 (*.f64 (*.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 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))))) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))))))
(-.f64 (+.f64 (/.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 4 binary64) (+.f64 (*.f64 (*.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 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 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 (fma.f64 (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 b b))) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 b b))) #s(literal -1 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal 1 binary64))))
(-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 a (fma.f64 a a a) (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b))) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 a (fma.f64 a a a) (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b))) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) (*.f64 (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 b b)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 (*.f64 b b) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 b b)) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 b b)) (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))) (*.f64 (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))))) #s(literal -1 binary64))
Outputs
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
Calls

5 calls:

14.0ms
b
12.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
12.0ms
a
11.0ms
(*.f64 b b)
10.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
98.7%1a
98.7%1b
98.7%1(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
98.7%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
98.7%1(*.f64 b b)
Compiler

Compiled 75 to 44 computations (41.3% saved)

regimes22.0ms (0.2%)

Memory
12.6MiB live, 12.6MiB allocated
Counts
26 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
(*.f64 b (*.f64 b #s(literal 4 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))
(*.f64 a (*.f64 a (*.f64 a a)))
(*.f64 b (*.f64 b (*.f64 b b)))
(*.f64 (*.f64 a a) (*.f64 a a))
(fma.f64 (*.f64 a (*.f64 a a)) a #s(literal -1 binary64))
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
(-.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1 binary64))
(-.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 1 binary64))
(-.f64 (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))) #s(literal 1 binary64))
(fma.f64 a (*.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))) #s(literal -1 binary64))
(fma.f64 (*.f64 a (*.f64 a a)) (+.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
(-.f64 (*.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) #s(literal 1 binary64))
(-.f64 (*.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 (*.f64 a (fma.f64 a a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))) #s(literal -1 binary64))
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))) #s(literal -1 binary64))
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1 binary64))
(fma.f64 a (/.f64 (*.f64 (*.f64 a a) (fma.f64 a (*.f64 a a) #s(literal 64 binary64))) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 16 binary64))) #s(literal -1 binary64))
(-.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a))) #s(literal 1 binary64))
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(-.f64 (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.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))
Outputs
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
Calls

3 calls:

7.0ms
b
7.0ms
a
6.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
98.7%1a
98.7%1b
98.7%1(*.f64 b b)
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes18.0ms (0.1%)

Memory
10.3MiB live, 10.3MiB allocated
Counts
20 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
(*.f64 b (*.f64 b #s(literal 4 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))
(*.f64 a (*.f64 a (*.f64 a a)))
(*.f64 b (*.f64 b (*.f64 b b)))
(*.f64 (*.f64 a a) (*.f64 a a))
(fma.f64 (*.f64 a (*.f64 a a)) a #s(literal -1 binary64))
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
(-.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1 binary64))
(-.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 1 binary64))
(-.f64 (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))) #s(literal 1 binary64))
(fma.f64 a (*.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))) #s(literal -1 binary64))
(fma.f64 (*.f64 a (*.f64 a a)) (+.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
(-.f64 (*.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) #s(literal 1 binary64))
(-.f64 (*.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 (*.f64 a (fma.f64 a a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))) #s(literal -1 binary64))
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))) #s(literal -1 binary64))
Outputs
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))
Calls

3 calls:

6.0ms
b
6.0ms
a
5.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
98.4%1a
98.4%1b
98.4%1(*.f64 b b)
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes43.0ms (0.3%)

Memory
-29.6MiB live, 10.0MiB allocated
Counts
18 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
(*.f64 b (*.f64 b #s(literal 4 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))
(*.f64 a (*.f64 a (*.f64 a a)))
(*.f64 b (*.f64 b (*.f64 b b)))
(*.f64 (*.f64 a a) (*.f64 a a))
(fma.f64 (*.f64 a (*.f64 a a)) a #s(literal -1 binary64))
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
(-.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1 binary64))
(-.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 1 binary64))
(-.f64 (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))) #s(literal 1 binary64))
(fma.f64 a (*.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))) #s(literal -1 binary64))
(fma.f64 (*.f64 a (*.f64 a a)) (+.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
(-.f64 (*.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) #s(literal 1 binary64))
(-.f64 (*.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 (*.f64 a (fma.f64 a a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))) #s(literal -1 binary64))
Outputs
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64))
(*.f64 b (*.f64 b (*.f64 b b)))
Calls

3 calls:

32.0ms
b
5.0ms
a
5.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
97.2%3a
97.4%2b
97.4%2(*.f64 b b)
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes9.0ms (0.1%)

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

2 calls:

4.0ms
b
4.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
96.7%2b
96.7%2(*.f64 b b)
Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes8.0ms (0.1%)

Memory
10.3MiB live, 10.3MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
(*.f64 b (*.f64 b #s(literal 4 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))
(*.f64 a (*.f64 a (*.f64 a a)))
(*.f64 b (*.f64 b (*.f64 b b)))
(*.f64 (*.f64 a a) (*.f64 a a))
(fma.f64 (*.f64 a (*.f64 a a)) a #s(literal -1 binary64))
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
(-.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1 binary64))
(-.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 1 binary64))
(-.f64 (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))) #s(literal 1 binary64))
Outputs
(fma.f64 (*.f64 a (*.f64 a a)) a #s(literal -1 binary64))
(*.f64 b (*.f64 b (*.f64 b b)))
Calls

2 calls:

4.0ms
b
3.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
96.2%2b
96.2%2(*.f64 b b)
Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes8.0ms (0.1%)

Memory
11.5MiB live, 11.5MiB allocated
Counts
6 → 4
Calls
Call 1
Inputs
#s(literal -1 binary64)
(*.f64 b (*.f64 b #s(literal 4 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))
(*.f64 a (*.f64 a (*.f64 a a)))
(*.f64 b (*.f64 b (*.f64 b b)))
(*.f64 (*.f64 a a) (*.f64 a a))
Outputs
(*.f64 a (*.f64 a (*.f64 a a)))
(*.f64 b (*.f64 b (*.f64 b b)))
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))
(*.f64 a (*.f64 a (*.f64 a a)))
Calls

3 calls:

3.0ms
b
2.0ms
a
2.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
80.9%4a
76.2%3b
74.6%3(*.f64 b b)
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes4.0ms (0%)

Memory
-34.2MiB live, 4.2MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
(*.f64 b (*.f64 b #s(literal 4 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))
(*.f64 a (*.f64 a (*.f64 a a)))
Outputs
(*.f64 a (*.f64 a (*.f64 a a)))
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))
(*.f64 a (*.f64 a (*.f64 a a)))
Calls

1 calls:

3.0ms
a
Results
AccuracySegmentsBranch
79.2%3a
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0%)

Memory
8.8MiB live, 8.8MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
(*.f64 b (*.f64 b #s(literal 4 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))
Outputs
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))
Calls

3 calls:

2.0ms
a
2.0ms
b
2.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
52.0%1(*.f64 b b)
52.0%1b
52.0%1a
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes3.0ms (0%)

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

2 calls:

1.0ms
a
1.0ms
b
Results
AccuracySegmentsBranch
41.4%3a
51.9%2b
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory
4.9MiB live, 4.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
Outputs
#s(literal -1 binary64)
Calls

2 calls:

1.0ms
a
1.0ms
b
Results
AccuracySegmentsBranch
24.9%1a
24.9%1b
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.3936331793434052e+23
4.2765197385572554e+27
Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.3936331793434052e+23
4.2765197385572554e+27
Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.3936331793434052e+23
4.2765197385572554e+27
Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch60.0ms (0.4%)

Memory
-18.7MiB live, 58.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
7.532928287857835
19981179.719976272
17.0ms
-4.233335771489744e-6
-1.0756763264900714e-10
15.0ms
-1.917255553698932e+54
-2.375957988554988e+51
Samples
36.0ms400×0valid
Compiler

Compiled 519 to 340 computations (34.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 12.0ms (46.4% of total)
ival-add: 6.0ms (23.2% of total)
ival-sub: 3.0ms (11.6% of total)
ival-pow2: 3.0ms (11.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch39.0ms (0.3%)

Memory
28.6MiB live, 28.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
7.532928287857835
19981179.719976272
17.0ms
-1.1912498574888922e+20
-59621705069614.336
Samples
25.0ms288×0valid
Compiler

Compiled 378 to 257 computations (32% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 9.0ms (49.4% of total)
ival-add: 4.0ms (22% of total)
ival-sub: 2.0ms (11% of total)
ival-pow2: 2.0ms (11% 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
-11.5MiB live, 27.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
18.0ms
0.07934374026333388
125430108.27822608
Samples
13.0ms144×0valid
Compiler

Compiled 144 to 113 computations (21.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 4.0ms (42.4% of total)
ival-add: 2.0ms (21.2% of total)
ival-sub: 1.0ms (10.6% of total)
ival-pow2: 1.0ms (10.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify9.0ms (0.1%)

Memory
13.9MiB live, 13.9MiB allocated
Algorithm
egg-herbie
Rules
22×*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
1-exp_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054202
174202
277202
382202
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))
(if (<=.f64 (*.f64 b b) #s(literal 199999999999999983222784 binary64)) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))
(if (<=.f64 (*.f64 b b) #s(literal 199999999999999983222784 binary64)) (fma.f64 a (*.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))) #s(literal -1 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))
(if (<=.f64 (*.f64 b b) #s(literal 199999999999999983222784 binary64)) (fma.f64 (*.f64 a (*.f64 a a)) a #s(literal -1 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))
(if (<=.f64 a #s(literal -2850000000000000113602503300422227023296575087575040 binary64)) (*.f64 a (*.f64 a (*.f64 a a))) (if (<=.f64 a #s(literal -4722366482869645/1180591620717411303424 binary64)) (*.f64 b (*.f64 b (*.f64 b b))) (if (<=.f64 a #s(literal 7400000 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) (*.f64 a (*.f64 a (*.f64 a a))))))
(if (<=.f64 a #s(literal -1450000000000000 binary64)) (*.f64 a (*.f64 a (*.f64 a a))) (if (<=.f64 a #s(literal 12000 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))))
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))
(if (<=.f64 b #s(literal 1080863910568919/2251799813685248 binary64)) #s(literal -1 binary64) (*.f64 b (*.f64 b #s(literal 4 binary64))))
#s(literal -1 binary64)
Outputs
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(+.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 (*.f64 b b) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))
(if (<=.f64 (*.f64 b b) #s(literal 199999999999999983222784 binary64)) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))
(if (<=.f64 (*.f64 b b) #s(literal 199999999999999983222784 binary64)) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))
(if (<=.f64 (*.f64 b b) #s(literal 199999999999999983222784 binary64)) (fma.f64 a (*.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))) #s(literal -1 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))
(if (<=.f64 (*.f64 b b) #s(literal 199999999999999983222784 binary64)) (fma.f64 a (*.f64 a (*.f64 a (+.f64 a #s(literal 4 binary64)))) #s(literal -1 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))
(if (<=.f64 (*.f64 b b) #s(literal 199999999999999983222784 binary64)) (fma.f64 (*.f64 a (*.f64 a a)) a #s(literal -1 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))
(if (<=.f64 a #s(literal -2850000000000000113602503300422227023296575087575040 binary64)) (*.f64 a (*.f64 a (*.f64 a a))) (if (<=.f64 a #s(literal -4722366482869645/1180591620717411303424 binary64)) (*.f64 b (*.f64 b (*.f64 b b))) (if (<=.f64 a #s(literal 7400000 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) (*.f64 a (*.f64 a (*.f64 a a))))))
(if (<=.f64 a #s(literal -1450000000000000 binary64)) (*.f64 a (*.f64 a (*.f64 a a))) (if (<=.f64 a #s(literal 12000 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))))
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))
(if (<=.f64 b #s(literal 1080863910568919/2251799813685248 binary64)) #s(literal -1 binary64) (*.f64 b (*.f64 b #s(literal 4 binary64))))
#s(literal -1 binary64)

soundness1.6s (12%)

Memory
-37.7MiB live, 574.4MiB allocated
Rules
23 442×accelerator-lowering-fma.f32
23 442×accelerator-lowering-fma.f64
13 714×accelerator-lowering-fma.f32
13 714×accelerator-lowering-fma.f64
11 776×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047357
1381335
23826335
011688288
03525081
111614903
236464790
373194766
081104471
04416092
114415873
249855684
083045273
04197649
113727328
248536934
083156288
01751704
15651636
217101594
351511544
082181379
01871
111671
2106371
0843057
037236
1274218
22672218
08562190
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 707 to 334 computations (52.8% saved)

preprocess64.0ms (0.5%)

Memory
15.8MiB live, 54.3MiB allocated
Remove

(abs b)

Compiler

Compiled 586 to 194 computations (66.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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