Bouland and Aaronson, Equation (25)

Time bar (total: 6.5s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.1MiB live, 0.1MiB 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)

sample1.0s (15.8%)

Memory
443.1MiB live, 443.1MiB allocated
Samples
733.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 558.0ms
ival-mult: 260.0ms (46.6% of total)
ival-add: 132.0ms (23.6% of total)
ival-pow2: 75.0ms (13.4% of total)
ival-sub: 70.0ms (12.5% of total)
exact: 12.0ms (2.1% of total)
ival-true: 6.0ms (1.1% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain389.0ms (6%)

Memory
203.4MiB live, 203.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
5374(2.71543498516924e-177 -2.939279546485892e+237)51(-2.414562566029865e+227 -1.953345666103276e-13)(+.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))))))
300-0-(+.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))))
210-1(1.167229900882222e+125 1.233158757631223e-156)(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))
00-0-(*.f64 a a)
00-0-(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))
00-0-a
00-0-#s(literal 3 binary64)
00-0-#s(literal 1 binary64)
00-0-(*.f64 b b)
00-0-(+.f64 (*.f64 a a) (*.f64 b b))
00-0-(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
00-0-(*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a))
00-0-#s(literal 4 binary64)
00-0-(+.f64 #s(literal 1 binary64) a)
00-0-#s(literal 2 binary64)
00-0-(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
00-0-b
00-0-(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))
00-0-(*.f64 #s(literal 3 binary64) a)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))nan-rescue760
(*.f64 b b)overflow68
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))overflow159
(*.f64 a a)overflow72
(+.f64 (*.f64 a a) (*.f64 b b))overflow125
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))overflow1
(*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a))overflow85
(*.f64 a a)overflow72
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))overflow83
(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))overflow138
(*.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)))))overflow138
(*.f64 #s(literal 3 binary64) a)overflow1
(*.f64 b b)overflow68
+.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-rescue300
(*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a))overflow85
(*.f64 a a)overflow72
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))overflow1
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))overflow83
(*.f64 #s(literal 3 binary64) a)overflow1
(*.f64 b b)overflow68
*.f64(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))n*o10
Confusion
Predicted +Predicted -
+3335
-61127
Precision
0.35106382978723405
Recall
0.4852941176470588
Confusion?
Predicted +Predicted MaybePredicted -
+33035
-610127
Precision?
0.35106382978723405
Recall?
0.4852941176470588
Freqs
test
numberfreq
0162
181
213
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
63.0ms486×0valid
5.0ms14×2valid
3.0ms12×1valid
Compiler

Compiled 639 to 157 computations (75.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-mult: 20.0ms (44.2% of total)
ival-add: 10.0ms (22.1% of total)
ival-sub: 6.0ms (13.3% of total)
ival-pow2: 6.0ms (13.3% of total)
adjust: 2.0ms (4.4% of total)
ival-true: 1.0ms (2.2% of total)
exact: 1.0ms (2.2% of total)
ival-assert: 0.0ms (0% of total)

preprocess206.0ms (3.2%)

Memory
53.6MiB live, 53.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

(abs b)

Compiler

Compiled 31 to 19 computations (38.7% saved)

eval0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.3%
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
Compiler

Compiled 31 to 19 computations (38.7% saved)

simplify163.0ms (2.5%)

Memory
48.5MiB live, 48.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize53.0ms (0.8%)

Memory
20.5MiB live, 20.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.10546875
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
accuracy4.676036143757247
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))
accuracy6.789029473283294
(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))
accuracy10.558593750000002
(+.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
33.0ms243×0valid
3.0ms2valid
2.0ms1valid
Compiler

Compiled 304 to 40 computations (86.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 10.0ms (42.3% of total)
ival-add: 6.0ms (25.4% of total)
ival-sub: 3.0ms (12.7% of total)
ival-pow2: 3.0ms (12.7% of total)
adjust: 1.0ms (4.2% of total)
exact: 1.0ms (4.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series12.0ms (0.2%)

Memory
4.9MiB live, 4.9MiB allocated
Counts
6 → 45
Calls
Call 1
Inputs
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
(+.f64 (*.f64 a a) (*.f64 b b))
(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))
(*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a))
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
Outputs
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))
(pow b 2)
(+ (pow a 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 2)
(* (pow a 2) (+ 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 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(pow a 3)
(* (pow a 3) (+ 1 (/ 1 a)))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a))))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3))))))
(* -3 (* a (pow b 2)))
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))
(* (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 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(* -1 (* (pow a 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)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 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)))
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))
(* (pow b 2) (- 1 (* 3 a)))
(+ (* 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) (+ 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 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(* (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)))))
Calls

6 calls:

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

simplify173.0ms (2.7%)

Memory
51.0MiB live, 51.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0175755
1565733
21709713
35147699
08231625
Stop Event
iter limit
node limit
Counts
45 → 45
Calls
Call 1
Inputs
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))
(pow b 2)
(+ (pow a 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 2)
(* (pow a 2) (+ 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 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(pow a 3)
(* (pow a 3) (+ 1 (/ 1 a)))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a))))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3))))))
(* -3 (* a (pow b 2)))
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))
(* (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 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(* -1 (* (pow a 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)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 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)))
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))
(* (pow b 2) (- 1 (* 3 a)))
(+ (* 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) (+ 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 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(* (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)))))
Outputs
(+ (* 4 (pow b 2)) (pow b 4))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 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 #s(literal -12 binary64) a #s(literal 4 binary64))))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(fma.f64 (*.f64 #s(literal 4 binary64) b) b (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) a (pow.f64 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 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b) (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a (pow.f64 b #s(literal 4 binary64))))
(pow b 2)
(*.f64 b b)
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(+ (* -3 (* a (pow b 2))) (pow b 2))
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(+ (* a (+ a (* -3 (pow b 2)))) (pow b 2))
(fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 b b) a) a (*.f64 b b))
(+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2))
(fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 b b) (fma.f64 a a a)) a (*.f64 b b))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 a))
(*.f64 (fma.f64 a a a) a)
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(fma.f64 (*.f64 (*.f64 (*.f64 b b) a) a) #s(literal 2 binary64) (pow.f64 b #s(literal 4 binary64)))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) (*.f64 a a)) b (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) a) a) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a))) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 #s(literal -12 binary64) a) #s(literal 2 binary64)) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) a) a) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a))) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(pow a 3)
(pow.f64 a #s(literal 3 binary64))
(* (pow a 3) (+ 1 (/ 1 a)))
(*.f64 (fma.f64 a a a) a)
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a))))
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) b) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 3 binary64)) (*.f64 a a))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3))))))
(fma.f64 (fma.f64 (/.f64 b (pow.f64 a #s(literal 3 binary64))) b (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) b) a) (/.f64 b a) #s(literal 1 binary64))) (pow.f64 a #s(literal 3 binary64)) (*.f64 a a))
(* -3 (* a (pow b 2)))
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 b b)) a)
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal -12 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1)))
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -3 binary64) #s(literal 1 binary64)) a) #s(literal -1 binary64)) (pow.f64 a #s(literal 3 binary64)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1)))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (*.f64 b (fma.f64 #s(literal -3 binary64) b (/.f64 b a))) a) #s(literal 1 binary64)) a) #s(literal -1 binary64)) (pow.f64 a #s(literal 3 binary64)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) b (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))))
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))
(fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 b b) (fma.f64 a a a)) a (*.f64 b b))
(* (pow b 2) (- 1 (* 3 a)))
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(fma.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a) a (pow.f64 a #s(literal 4 binary64)))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (fma.f64 (/.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) (fma.f64 a a a) (/.f64 (/.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)) #s(literal 4 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(*.f64 (fma.f64 a (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) a) b) b) a #s(literal -3 binary64)) #s(literal 1 binary64)) (*.f64 b b))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))

rewrite180.0ms (2.8%)

Memory
69.4MiB live, 69.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01878
03078
112878
2107578
0843563
Stop Event
iter limit
node limit
iter limit
Counts
6 → 506
Calls
Call 1
Inputs
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
(+.f64 (*.f64 a a) (*.f64 b b))
(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))
(*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a))
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
Outputs
(*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (neg.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64))))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (neg.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))))))
(*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a))) #s(literal 4 binary64))))))
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (neg.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 (+.f64 a b) (-.f64 a b)) #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64)))) (*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal 2 binary64))))
(/.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 b a) a) (*.f64 (hypot.f64 b a) a) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 b b)))
(fma.f64 (*.f64 b (hypot.f64 b a)) (*.f64 b (hypot.f64 b a)) (*.f64 (*.f64 a a) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))))
(fma.f64 (*.f64 a (hypot.f64 b a)) (*.f64 a (hypot.f64 b a)) (*.f64 (*.f64 b b) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 b a) b) (*.f64 (hypot.f64 b a) b) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a)))
(fma.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 b b) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a)))
(fma.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 b b)))
(fma.f64 (*.f64 b b) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 (*.f64 a a) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))))
(fma.f64 (*.f64 a a) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 (*.f64 b b) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 b b) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))) (*.f64 (*.f64 a a) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 a a) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))) (*.f64 (*.f64 b b) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 b b)) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a)))
(+.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a)) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 b b)))

eval81.0ms (1.2%)

Memory
51.9MiB live, 51.9MiB allocated
Compiler

Compiled 33 331 to 2 755 computations (91.7% saved)

prune17.0ms (0.3%)

Memory
21.5MiB live, 21.5MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New5396545
Fresh000
Picked101
Done000
Total5406546
Accuracy
100.0%
Counts
546 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.5%
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))) #s(literal 1 binary64))
46.1%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
69.2%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
64.8%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
60.3%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
69.6%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
Compiler

Compiled 498 to 316 computations (36.5% saved)

simplify183.0ms (2.8%)

Memory
51.5MiB live, 51.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
044555
068555
1137543
2303543
3765535
42056535
53297535
66580535
08158497
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))) #s(literal 1 binary64))
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a))))
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
(+.f64 (*.f64 a a) (*.f64 b b))
(*.f64 a a)
a
(*.f64 b b)
b
#s(literal 2 binary64)
(*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))
#s(literal 4 binary64)
#s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a))
(*.f64 (fma.f64 a a a) a)
(fma.f64 a a a)
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))))
(*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))
(*.f64 b b)
b
(fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))
(fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))
#s(literal -12 binary64)
a
#s(literal 4 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64)))
(pow.f64 a #s(literal 4 binary64))
a
#s(literal 4 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
(*.f64 b b)
b
#s(literal 4 binary64)
(pow.f64 b #s(literal 4 binary64))
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))))
(fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))
(*.f64 (fma.f64 a a a) a)
(fma.f64 a a a)
a
#s(literal 4 binary64)
(pow.f64 a #s(literal 4 binary64))
#s(literal 1 binary64)
Outputs
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))) #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a))))
(fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)))
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
(pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))
(+.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 b b (*.f64 a a))
(*.f64 a a)
a
(*.f64 b b)
b
#s(literal 2 binary64)
(*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))
(*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a))
(*.f64 (fma.f64 a a a) a)
(fma.f64 a a a)
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b))
(*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))
(*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b)
(*.f64 b b)
b
(fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))
(fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))
#s(literal -12 binary64)
a
#s(literal 4 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64)))
(pow.f64 a #s(literal 4 binary64))
a
#s(literal 4 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 b #s(literal 4 binary64))))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
(fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 b #s(literal 4 binary64)))
(*.f64 b b)
b
#s(literal 4 binary64)
(pow.f64 b #s(literal 4 binary64))
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) #s(literal 4 binary64)) a (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) #s(literal 4 binary64)) a (pow.f64 a #s(literal 4 binary64))))
(fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))
(fma.f64 (*.f64 (fma.f64 a a a) #s(literal 4 binary64)) a (pow.f64 a #s(literal 4 binary64)))
(*.f64 (fma.f64 a a a) a)
(fma.f64 a a a)
a
#s(literal 4 binary64)
(pow.f64 a #s(literal 4 binary64))
#s(literal 1 binary64)

localize101.0ms (1.5%)

Memory
37.6MiB live, 37.6MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
accuracy0.0390625
(*.f64 (fma.f64 a a a) a)
accuracy9.801445019536885
(fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))
accuracy27.809555222734
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))))
accuracy0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
accuracy0
(*.f64 b b)
accuracy0.0078125
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
accuracy23.990289066305532
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))))
accuracy0
(pow.f64 a #s(literal 4 binary64))
accuracy0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
accuracy32.244186264499184
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64)))
accuracy0
(*.f64 b b)
accuracy0.01171875
(fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))
accuracy4.714265639653749
(*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))
accuracy23.815631584948246
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))))
accuracy0.0390625
(*.f64 (fma.f64 a a a) a)
accuracy0.10546875
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
accuracy10.558593750000002
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a))))
accuracy31.192135871085117
#s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a))
Samples
61.0ms242×0valid
4.0ms2valid
3.0ms1valid
1.0ms3valid
Compiler

Compiled 1 022 to 81 computations (92.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-mult: 19.0ms (41.1% of total)
ival-add: 12.0ms (25.9% of total)
ival-pow: 7.0ms (15.1% of total)
ival-sub: 3.0ms (6.5% of total)
ival-pow2: 3.0ms (6.5% of total)
adjust: 2.0ms (4.3% of total)
exact: 1.0ms (2.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series17.0ms (0.3%)

Memory
7.8MiB live, 7.8MiB allocated
Counts
20 → 71
Calls
Call 1
Inputs
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a))))
(+.f64 (*.f64 a a) (*.f64 b b))
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))) #s(literal 1 binary64))
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))))
(*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))
(*.f64 b b)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64)))
(pow.f64 a #s(literal 4 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))))
(fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))
(*.f64 (fma.f64 a a a) a)
#s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a))
(fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))
Outputs
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))
(pow b 2)
(+ (pow a 2) (pow b 2))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(pow 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 b 2) (+ 4 (pow b 2)))
(+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2))))
(pow a 4)
(* 4 (pow a 2))
(* (pow a 2) (+ 4 (* 4 a)))
(* (pow a 2) (+ 4 (* a (+ 4 a))))
(pow a 2)
(* (pow a 2) (+ 1 a))
(+ (* -3 (* a (pow b 2))) (pow b 2))
(+ (* a (+ a (* -3 (pow b 2)))) (pow b 2))
(+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2))
(+ 4 (pow b 2))
(+ 4 (+ (* -12 a) (pow b 2)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (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)))))
(* -12 (* a (pow b 2)))
(* a (+ (* -12 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) a)))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 3)
(* (pow a 3) (+ 1 (/ 1 a)))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a))))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3))))))
(* -12 a)
(* a (- (+ (* 4 (/ 1 a)) (/ (pow b 2) a)) 12))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(* -1 (* a (+ (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (* 12 (pow b 2)))))
(* -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)))
(* -1 (* a (+ 12 (* -1 (/ (+ 4 (pow b 2)) 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 a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(+ (* 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) (+ 4 (* -12 a)))
(* (pow b 2) (+ 4 (+ (* -12 a) (pow b 2))))
(* 4 (pow b 2))
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))
(+ 4 (* -12 a))
(* (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 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(* (pow b 2) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
Calls

6 calls:

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

simplify157.0ms (2.4%)

Memory
45.8MiB live, 45.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02261191
17381146
222221113
364821089
08215969
Stop Event
iter limit
node limit
Counts
71 → 71
Calls
Call 1
Inputs
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))
(pow b 2)
(+ (pow a 2) (pow b 2))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(pow 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 b 2) (+ 4 (pow b 2)))
(+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2))))
(pow a 4)
(* 4 (pow a 2))
(* (pow a 2) (+ 4 (* 4 a)))
(* (pow a 2) (+ 4 (* a (+ 4 a))))
(pow a 2)
(* (pow a 2) (+ 1 a))
(+ (* -3 (* a (pow b 2))) (pow b 2))
(+ (* a (+ a (* -3 (pow b 2)))) (pow b 2))
(+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2))
(+ 4 (pow b 2))
(+ 4 (+ (* -12 a) (pow b 2)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (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)))))
(* -12 (* a (pow b 2)))
(* a (+ (* -12 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) a)))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 3)
(* (pow a 3) (+ 1 (/ 1 a)))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a))))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3))))))
(* -12 a)
(* a (- (+ (* 4 (/ 1 a)) (/ (pow b 2) a)) 12))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(* -1 (* a (+ (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (* 12 (pow b 2)))))
(* -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)))
(* -1 (* a (+ 12 (* -1 (/ (+ 4 (pow b 2)) 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 a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(+ (* 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) (+ 4 (* -12 a)))
(* (pow b 2) (+ 4 (+ (* -12 a) (pow b 2))))
(* 4 (pow b 2))
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))
(+ 4 (* -12 a))
(* (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 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(* (pow b 2) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
Outputs
(+ (* 4 (pow b 2)) (pow b 4))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b)
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a (pow.f64 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 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a (pow.f64 b #s(literal 4 binary64))))
(pow b 2)
(*.f64 b b)
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(fma.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) a (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64))))
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(fma.f64 (*.f64 (*.f64 (*.f64 b b) a) a) #s(literal 2 binary64) (pow.f64 b #s(literal 4 binary64)))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b (pow.f64 a #s(literal 4 binary64)))
(* (pow b 2) (+ 4 (pow b 2)))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
(+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b)
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* 4 (pow a 2))
(*.f64 (*.f64 a a) #s(literal 4 binary64))
(* (pow a 2) (+ 4 (* 4 a)))
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a)
(* (pow a 2) (+ 4 (* a (+ 4 a))))
(*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 a))
(*.f64 (fma.f64 a a a) a)
(+ (* -3 (* a (pow b 2))) (pow b 2))
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(+ (* a (+ a (* -3 (pow b 2)))) (pow b 2))
(fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 b b) a) a (*.f64 b b))
(+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2))
(fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 b b) (fma.f64 a a a)) a (*.f64 b b))
(+ 4 (pow b 2))
(fma.f64 b b #s(literal 4 binary64))
(+ 4 (+ (* -12 a) (pow b 2)))
(fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) (*.f64 a a)) b (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) a) a) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a))) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 #s(literal -12 binary64) a) #s(literal 2 binary64)) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) a) a) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a))) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))
(* -12 (* a (pow b 2)))
(*.f64 (*.f64 (*.f64 b b) a) #s(literal -12 binary64))
(* a (+ (* -12 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) a)))
(*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b)
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(*.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) a) a) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64)))
(pow a 3)
(pow.f64 a #s(literal 3 binary64))
(* (pow a 3) (+ 1 (/ 1 a)))
(*.f64 (fma.f64 a a a) a)
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a))))
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) b) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 3 binary64)) (*.f64 a a))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3))))))
(fma.f64 (fma.f64 (/.f64 b (pow.f64 a #s(literal 3 binary64))) b (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) b) a) (/.f64 b a) #s(literal 1 binary64))) (pow.f64 a #s(literal 3 binary64)) (*.f64 a a))
(* -12 a)
(*.f64 #s(literal -12 binary64) a)
(* a (- (+ (* 4 (/ 1 a)) (/ (pow b 2) a)) 12))
(*.f64 (fma.f64 (/.f64 b a) b (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64))) a)
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal -12 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* -1 (* a (+ (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (* 12 (pow b 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b)
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1)))
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -3 binary64) #s(literal 1 binary64)) a) #s(literal -1 binary64)) (pow.f64 a #s(literal 3 binary64)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1)))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (fma.f64 #s(literal 3 binary64) b (/.f64 (neg.f64 b) a))) a)) a) #s(literal -1 binary64)) (pow.f64 a #s(literal 3 binary64)))
(* -1 (* a (+ 12 (* -1 (/ (+ 4 (pow b 2)) a)))))
(neg.f64 (fma.f64 #s(literal 12 binary64) a (-.f64 #s(literal -4 binary64) (*.f64 b b))))
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) b) b (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) b) b (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(fma.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a) a (pow.f64 a #s(literal 4 binary64)))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b (pow.f64 a #s(literal 4 binary64)))
(* (pow b 2) (+ 4 (* -12 a)))
(*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b)
(* (pow b 2) (+ 4 (+ (* -12 a) (pow b 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b)
(* 4 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 4 binary64))
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))
(fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 b b) (fma.f64 a a a)) a (*.f64 b b))
(+ 4 (* -12 a))
(fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (fma.f64 (/.f64 #s(literal 4 binary64) b) (/.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) (fma.f64 a a a) (/.f64 (/.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)) #s(literal 4 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.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)))))) (/ 1 (pow b 4))))
(-.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) (fma.f64 a a a) (/.f64 (/.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)) #s(literal 4 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(*.f64 (+.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -12 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 2) (- 1 (* 3 a)))
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(*.f64 (fma.f64 a (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) a) b) b) a #s(literal -3 binary64)) #s(literal 1 binary64)) (*.f64 b b))
(* (pow b 2) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(*.f64 (fma.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -12 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) b b) b)

rewrite169.0ms (2.6%)

Memory
61.3MiB live, 61.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044477
068477
1329466
22691466
08447410
Stop Event
iter limit
node limit
iter limit
Counts
20 → 481
Calls
Call 1
Inputs
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a))))
(+.f64 (*.f64 a a) (*.f64 b b))
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))) #s(literal 1 binary64))
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))))
(*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))
(*.f64 b b)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64)))
(pow.f64 a #s(literal 4 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))))
(fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))
(*.f64 (fma.f64 a a a) a)
#s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a))
(fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))
Outputs
(*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 2 binary64)) #s(literal 16 binary64))) (pow.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) (-.f64 (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))
(pow.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 2 binary64)) #s(literal 16 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) (-.f64 (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 2 binary64)) #s(literal 16 binary64))) #s(literal 1 binary64))) (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) (-.f64 (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 2 binary64)) #s(literal 16 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)))) (neg.f64 (-.f64 (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 2 binary64)) #s(literal 16 binary64))))) (neg.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) (-.f64 (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)))) (*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64))) (*.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 2 binary64)) #s(literal 16 binary64)))) (pow.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64))) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 2 binary64)) #s(literal 16 binary64))) #s(literal 1 binary64)) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) (-.f64 (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 2 binary64)) #s(literal 16 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 2 binary64)) #s(literal 16 binary64)))) (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64)))) (neg.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a))) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) (-.f64 (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 2 binary64)) #s(literal 16 binary64))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 2 binary64)) #s(literal 16 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) (-.f64 (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64))))))
(/.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64))) (fma.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a))) #s(literal 4 binary64)))))
(/.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64))) (fma.f64 (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) (-.f64 (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 2 binary64)) #s(literal 16 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) (-.f64 (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64)))))
(fma.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (*.f64 (+.f64 a b) (-.f64 a b)) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)))
(fma.f64 (pow.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)))
(fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)))
(-.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 2 binary64)) #s(literal 16 binary64)) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)))))
(+.f64 (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))
(+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)))
(*.f64 (pow.f64 (hypot.f64 b a) #s(literal 1 binary64)) (pow.f64 (hypot.f64 b a) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 (+.f64 a b) (-.f64 a b)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))))
(fma.f64 (fma.f64 #s(literal 144 binary64) (*.f64 a a) #s(literal -16 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) a #s(literal -4 binary64)) #s(literal -1 binary64)) (*.f64 b b))
(fma.f64 (fma.f64 #s(literal -1728 binary64) (pow.f64 a #s(literal 3 binary64)) #s(literal 64 binary64)) (pow.f64 (fma.f64 #s(literal 144 binary64) (*.f64 a a) (-.f64 #s(literal 16 binary64) (*.f64 a #s(literal -48 binary64)))) #s(literal -1 binary64)) (*.f64 b b))
(fma.f64 #s(literal -12 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 b b)))
(fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))
(fma.f64 a #s(literal -12 binary64) (+.f64 #s(literal 4 binary64) (*.f64 b b)))
(-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))))
(+.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 #s(literal -12 binary64) a))
(+.f64 (fma.f64 #s(literal -12 binary64) a (*.f64 b b)) #s(literal 4 binary64))
(+.f64 (*.f64 #s(literal -12 binary64) a) (+.f64 #s(literal 4 binary64) (*.f64 b b)))
(+.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b))
(+.f64 #s(literal 4 binary64) (fma.f64 #s(literal -12 binary64) a (*.f64 b b)))
(+.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))

eval81.0ms (1.2%)

Memory
53.1MiB live, 53.1MiB allocated
Compiler

Compiled 42 500 to 2 328 computations (94.5% saved)

prune27.0ms (0.4%)

Memory
27.6MiB live, 27.6MiB allocated
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New59110601
Fresh101
Picked325
Done000
Total59512607
Accuracy
100.0%
Counts
607 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.0%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))) #s(literal 1 binary64))
69.2%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
64.8%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
65.1%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
69.6%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
67.4%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) #s(approx (+ (* b b) (+ (* -12 a) 4)) (*.f64 (fma.f64 (/.f64 b a) b (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64))) a)))) #s(literal 1 binary64))
64.8%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
51.8%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64))
50.6%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))
65.1%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
69.1%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))
85.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))))
Compiler

Compiled 1 013 to 610 computations (39.8% saved)

simplify178.0ms (2.7%)

Memory
51.4MiB live, 51.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
050515
078510
1159498
2357498
31035495
43474495
55539495
08215459
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))))
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) b)
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))))
(*.f64 a a)
a
#s(literal 2 binary64)
(*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))
#s(literal 4 binary64)
(fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))
#s(literal -3 binary64)
#s(literal 1 binary64)
b
(fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64))
(+.f64 #s(literal 4 binary64) a)
#s(literal -1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64))))
#s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))
(*.f64 (*.f64 b b) #s(literal 4 binary64))
(*.f64 b b)
b
#s(literal 4 binary64)
#s(literal 1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
(fma.f64 b b #s(literal 4 binary64))
b
#s(literal 4 binary64)
(*.f64 b b)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64))
(+.f64 #s(literal 4 binary64) a)
#s(literal 4 binary64)
a
(*.f64 a a)
#s(literal -1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b))
(*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b)
(*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b)
(fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))
b
(fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))
#s(literal -12 binary64)
a
#s(literal 4 binary64)
#s(literal 1 binary64)
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))))
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) b)
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b)
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))))
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64))
(*.f64 a a)
a
#s(literal 2 binary64)
(*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))
(fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))
#s(literal 4 binary64)
(fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))
#s(literal -3 binary64)
#s(literal 1 binary64)
b
(fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64))
(+.f64 #s(literal 4 binary64) a)
#s(literal -1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 #s(literal 4 binary64) (*.f64 b b))))
#s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))
#s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
(*.f64 (*.f64 b b) #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) (*.f64 b b))
(*.f64 b b)
b
#s(literal 4 binary64)
#s(literal 1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
(fma.f64 b b #s(literal 4 binary64))
b
#s(literal 4 binary64)
(*.f64 b b)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64))
(+.f64 #s(literal 4 binary64) a)
#s(literal 4 binary64)
a
(*.f64 a a)
#s(literal -1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b))
(*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b)
(*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b)
(*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b)
(*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b)
(fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))
(fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64)))
b
(fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))
#s(literal -12 binary64)
a
#s(literal 4 binary64)
#s(literal 1 binary64)

localize123.0ms (1.9%)

Memory
47.5MiB live, 47.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))
accuracy0.1171875
(*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b)
accuracy0.36633276151195127
(*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b)
accuracy23.815631584948246
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b))
accuracy0
(+.f64 #s(literal 4 binary64) a)
accuracy0
(*.f64 a a)
accuracy0.0625
(fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
accuracy22.27733055980881
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
accuracy0
(fma.f64 b b #s(literal 4 binary64))
accuracy0
(*.f64 b b)
accuracy0.0546875
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
accuracy19.732713369683893
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))
accuracy0
(*.f64 b b)
accuracy0.0078125
(*.f64 (*.f64 b b) #s(literal 4 binary64))
accuracy14.189422796673536
#s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))
accuracy23.990289066305532
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64))))
accuracy0.0625
(fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
accuracy0.23437500000000003
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))))
accuracy5.665181170725837
(*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) b)
accuracy8.842285354687471
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))))
Samples
76.0ms242×0valid
6.0ms2valid
4.0ms1valid
1.0ms3valid
Compiler

Compiled 948 to 101 computations (89.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-mult: 30.0ms (48.2% of total)
ival-add: 20.0ms (32.1% of total)
ival-sub: 3.0ms (4.8% of total)
ival-pow: 3.0ms (4.8% of total)
ival-pow2: 3.0ms (4.8% of total)
adjust: 2.0ms (3.2% of total)
exact: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series23.0ms (0.4%)

Memory
10.3MiB live, 10.3MiB allocated
Counts
23 → 93
Calls
Call 1
Inputs
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))))
(*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))))
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64))))
#s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))
(*.f64 (*.f64 b b) #s(literal 4 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
(fma.f64 b b #s(literal 4 binary64))
(*.f64 b b)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64))
(+.f64 #s(literal 4 binary64) a)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b))
(*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b)
(*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b)
(*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) b)
(*.f64 a a)
(fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))
Outputs
4
(+ 4 (* -12 a))
(+ 4 (* a (- (* 2 a) 12)))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(- (* 4 (pow b 2)) 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)
(+ (* 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)))
-1
(- (* 4 (pow a 2)) 1)
(- (* (pow a 2) (+ 4 (* 4 a))) 1)
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)
(+ 4 (* 4 a))
(+ 4 (* a (+ 4 a)))
(+ 4 a)
(* (pow b 2) (+ 4 (pow b 2)))
(+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2))))
(* b (+ 4 (pow b 2)))
(+ (* -12 (* a b)) (* b (+ 4 (pow b 2))))
(* 4 b)
(+ (* -12 (* a b)) (* 4 b))
(+ (* 4 b) (* a (+ (* -12 b) (* 2 (* a b)))))
(pow a 2)
(+ 4 (pow b 2))
(+ 4 (+ (* -12 a) (pow b 2)))
(* 2 (pow a 2))
(* (pow a 2) (- 2 (* 12 (/ 1 a))))
(* (pow a 2) (- (+ 2 (/ 4 (pow a 2))) (* 12 (/ 1 a))))
(* -12 a)
(* a (- (* 4 (/ 1 a)) 12))
(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) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))) (/ 1 (pow a 4))))
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
a
(* a (+ 1 (* 4 (/ 1 a))))
(* -12 (* a (pow b 2)))
(* a (+ (* -12 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) a)))
(* -12 (* a b))
(* a (+ (* -12 b) (/ (* b (+ 4 (pow b 2))) a)))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* -12 (/ b a)) (* 2 b)))
(* (pow a 2) (+ (* -12 (/ b a)) (+ (* 2 b) (* 4 (/ b (pow a 2))))))
(* a (- (+ (* 4 (/ 1 a)) (/ (pow b 2) a)) 12))
(* (pow a 2) (+ 2 (* -1 (/ (- 12 (* 4 (/ 1 a))) a))))
(* -1 (* a (- 12 (* 4 (/ 1 a)))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4) a))))
(* -1 (* a (+ (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (* 12 (pow b 2)))))
(* -1 (* a (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b))))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 (/ b a)) (* 12 b)) a)) (* 2 b)))
(* -1 (* a (+ 12 (* -1 (/ (+ 4 (pow b 2)) a)))))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) 1)
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(* 4 (pow b 2))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(pow b 2)
(* (pow b 2) (+ 4 (* -12 a)))
(* (pow b 2) (+ 4 (+ (* -12 a) (pow b 2))))
(* b (+ 4 (* -12 a)))
(* b (+ 4 (+ (* -12 a) (pow b 2))))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))) (/ 1 (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 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(pow b 3)
(* (pow b 3) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 2) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 4 (* -12 a)) (pow b 2))) 1)))
Calls

6 calls:

TimeVariablePointExpression
5.0ms
b
@0
((+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* 4 (+ (* -3 a) 1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) b) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1)) (- (+ (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)))))) (+ (* (* b b) 4) (pow b 4)) (* (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* b b) 4) (* b b)) -1) (+ (* b b) 4) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (+ (* (+ 4 a) a) 4) (+ 4 a) (- (+ (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)))))) (* (* (+ (* b b) (+ (* -12 a) 4)) b) b) (* (+ (* b b) (+ (* -12 a) 4)) b) (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) (* a a) (+ (* b b) (+ (* -12 a) 4)))
4.0ms
b
@inf
((+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* 4 (+ (* -3 a) 1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) b) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1)) (- (+ (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)))))) (+ (* (* b b) 4) (pow b 4)) (* (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* b b) 4) (* b b)) -1) (+ (* b b) 4) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (+ (* (+ 4 a) a) 4) (+ 4 a) (- (+ (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)))))) (* (* (+ (* b b) (+ (* -12 a) 4)) b) b) (* (+ (* b b) (+ (* -12 a) 4)) b) (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) (* a a) (+ (* b b) (+ (* -12 a) 4)))
4.0ms
b
@-inf
((+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* 4 (+ (* -3 a) 1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) b) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1)) (- (+ (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)))))) (+ (* (* b b) 4) (pow b 4)) (* (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* b b) 4) (* b b)) -1) (+ (* b b) 4) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (+ (* (+ 4 a) a) 4) (+ 4 a) (- (+ (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)))))) (* (* (+ (* b b) (+ (* -12 a) 4)) b) b) (* (+ (* b b) (+ (* -12 a) 4)) b) (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) (* a a) (+ (* b b) (+ (* -12 a) 4)))
3.0ms
a
@inf
((+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* 4 (+ (* -3 a) 1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) b) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1)) (- (+ (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)))))) (+ (* (* b b) 4) (pow b 4)) (* (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* b b) 4) (* b b)) -1) (+ (* b b) 4) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (+ (* (+ 4 a) a) 4) (+ 4 a) (- (+ (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)))))) (* (* (+ (* b b) (+ (* -12 a) 4)) b) b) (* (+ (* b b) (+ (* -12 a) 4)) b) (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) (* a a) (+ (* b b) (+ (* -12 a) 4)))
2.0ms
a
@-inf
((+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* 4 (+ (* -3 a) 1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) b) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1)) (- (+ (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)))))) (+ (* (* b b) 4) (pow b 4)) (* (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* b b) 4) (* b b)) -1) (+ (* b b) 4) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (+ (* (+ 4 a) a) 4) (+ 4 a) (- (+ (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)))))) (* (* (+ (* b b) (+ (* -12 a) 4)) b) b) (* (+ (* b b) (+ (* -12 a) 4)) b) (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) (* a a) (+ (* b b) (+ (* -12 a) 4)))

simplify159.0ms (2.4%)

Memory
46.2MiB live, 46.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02641380
18801323
226771221
374561219
081631087
Stop Event
iter limit
node limit
Counts
93 → 92
Calls
Call 1
Inputs
4
(+ 4 (* -12 a))
(+ 4 (* a (- (* 2 a) 12)))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(- (* 4 (pow b 2)) 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)
(+ (* 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)))
-1
(- (* 4 (pow a 2)) 1)
(- (* (pow a 2) (+ 4 (* 4 a))) 1)
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)
(+ 4 (* 4 a))
(+ 4 (* a (+ 4 a)))
(+ 4 a)
(* (pow b 2) (+ 4 (pow b 2)))
(+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2))))
(* b (+ 4 (pow b 2)))
(+ (* -12 (* a b)) (* b (+ 4 (pow b 2))))
(* 4 b)
(+ (* -12 (* a b)) (* 4 b))
(+ (* 4 b) (* a (+ (* -12 b) (* 2 (* a b)))))
(pow a 2)
(+ 4 (pow b 2))
(+ 4 (+ (* -12 a) (pow b 2)))
(* 2 (pow a 2))
(* (pow a 2) (- 2 (* 12 (/ 1 a))))
(* (pow a 2) (- (+ 2 (/ 4 (pow a 2))) (* 12 (/ 1 a))))
(* -12 a)
(* a (- (* 4 (/ 1 a)) 12))
(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) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))) (/ 1 (pow a 4))))
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
a
(* a (+ 1 (* 4 (/ 1 a))))
(* -12 (* a (pow b 2)))
(* a (+ (* -12 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) a)))
(* -12 (* a b))
(* a (+ (* -12 b) (/ (* b (+ 4 (pow b 2))) a)))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* -12 (/ b a)) (* 2 b)))
(* (pow a 2) (+ (* -12 (/ b a)) (+ (* 2 b) (* 4 (/ b (pow a 2))))))
(* a (- (+ (* 4 (/ 1 a)) (/ (pow b 2) a)) 12))
(* (pow a 2) (+ 2 (* -1 (/ (- 12 (* 4 (/ 1 a))) a))))
(* -1 (* a (- 12 (* 4 (/ 1 a)))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4) a))))
(* -1 (* a (+ (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (* 12 (pow b 2)))))
(* -1 (* a (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b))))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 (/ b a)) (* 12 b)) a)) (* 2 b)))
(* -1 (* a (+ 12 (* -1 (/ (+ 4 (pow b 2)) a)))))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) 1)
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(* 4 (pow b 2))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(pow b 2)
(* (pow b 2) (+ 4 (* -12 a)))
(* (pow b 2) (+ 4 (+ (* -12 a) (pow b 2))))
(* b (+ 4 (* -12 a)))
(* b (+ 4 (+ (* -12 a) (pow b 2))))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))) (/ 1 (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 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(pow b 3)
(* (pow b 3) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 2) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 4 (* -12 a)) (pow b 2))) 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 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(fma.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) a (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(-.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
(- (* 4 (pow b 2)) 1)
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
(- (+ (* -12 (* a (pow b 2))) (* 4 (pow b 2))) 1)
(fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))))) 1)
(-.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b (*.f64 (*.f64 a a) #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)
(-.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b (*.f64 (fma.f64 a a (pow.f64 a #s(literal 3 binary64))) #s(literal 4 binary64))) #s(literal 1 binary64))
(+ (* 4 (pow b 2)) (pow b 4))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b (pow.f64 b #s(literal 4 binary64)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b (*.f64 (*.f64 a a) #s(literal 4 binary64))) (pow.f64 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 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))
-1
#s(literal -1 binary64)
(- (* 4 (pow a 2)) 1)
(fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))
(- (* (pow a 2) (+ 4 (* 4 a))) 1)
(fma.f64 (fma.f64 a a (pow.f64 a #s(literal 3 binary64))) #s(literal 4 binary64) #s(literal -1 binary64))
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)
(fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(+ 4 (* 4 a))
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
(+ 4 (* a (+ 4 a)))
(fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64))
(+ 4 a)
(+.f64 #s(literal 4 binary64) a)
(* (pow b 2) (+ 4 (pow b 2)))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
(+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2))))
(fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b (pow.f64 b #s(literal 4 binary64)))
(* b (+ 4 (pow b 2)))
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b)
(+ (* -12 (* a b)) (* b (+ 4 (pow b 2))))
(*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b)
(* 4 b)
(*.f64 #s(literal 4 binary64) b)
(+ (* -12 (* a b)) (* 4 b))
(*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b)
(+ (* 4 b) (* a (+ (* -12 b) (* 2 (* a b)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b)
(pow a 2)
(*.f64 a a)
(+ 4 (pow b 2))
(fma.f64 b b #s(literal 4 binary64))
(+ 4 (+ (* -12 a) (pow b 2)))
(fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64)))
(* 2 (pow a 2))
(*.f64 (*.f64 a a) #s(literal 2 binary64))
(* (pow a 2) (- 2 (* 12 (/ 1 a))))
(*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) a)) a) a)
(* (pow a 2) (- (+ 2 (/ 4 (pow a 2))) (* 12 (/ 1 a))))
(*.f64 (fma.f64 #s(literal 2 binary64) a (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) a)) a)
(* -12 a)
(*.f64 #s(literal -12 binary64) a)
(* a (- (* 4 (/ 1 a)) 12))
(fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a) (fma.f64 (*.f64 #s(literal 2 binary64) b) (/.f64 (/.f64 b a) a) #s(literal 1 binary64))) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a) (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) a)) #s(literal 1 binary64))) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (- (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))) (/ 1 (pow a 4))))
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 4 binary64))))) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 #s(literal 4 binary64) a) a)
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64))
a
(* a (+ 1 (* 4 (/ 1 a))))
(+.f64 #s(literal 4 binary64) a)
(* -12 (* a (pow b 2)))
(*.f64 (*.f64 (*.f64 b a) #s(literal -12 binary64)) b)
(* a (+ (* -12 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) a)))
(*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64)) (*.f64 b b)) a)
(* -12 (* a b))
(*.f64 (*.f64 b a) #s(literal -12 binary64))
(* a (+ (* -12 b) (/ (* b (+ 4 (pow b 2))) a)))
(*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64)) b) a)
(* 2 (* (pow a 2) b))
(*.f64 (*.f64 (*.f64 b a) a) #s(literal 2 binary64))
(* (pow a 2) (+ (* -12 (/ b a)) (* 2 b)))
(*.f64 (*.f64 (*.f64 b (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) a))) a) a)
(* (pow a 2) (+ (* -12 (/ b a)) (+ (* 2 b) (* 4 (/ b (pow a 2))))))
(*.f64 (fma.f64 (/.f64 b a) (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))
(* a (- (+ (* 4 (/ 1 a)) (/ (pow b 2) a)) 12))
(fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))
(* (pow a 2) (+ 2 (* -1 (/ (- 12 (* 4 (/ 1 a))) a))))
(*.f64 (fma.f64 #s(literal 2 binary64) a (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) a)) a)
(* -1 (* a (- 12 (* 4 (/ 1 a)))))
(fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) a)) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) a)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* -1 (* a (+ (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (* 12 (pow b 2)))))
(*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64)) (*.f64 b b)) a)
(* -1 (* a (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b))))
(*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64)) b) a)
(* (pow a 2) (+ (* -1 (/ (+ (* -4 (/ b a)) (* 12 b)) a)) (* 2 b)))
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) b (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 b a) (*.f64 #s(literal 12 binary64) b)) (neg.f64 a))) a) a)
(* -1 (* a (+ 12 (* -1 (/ (+ 4 (pow b 2)) a)))))
(fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a (*.f64 #s(literal -12 binary64) a))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)))
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) 1)
(fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))
(* 4 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 4 binary64))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 4 (* -12 a)))
(*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b)
(* (pow b 2) (+ 4 (+ (* -12 a) (pow b 2))))
(fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b (pow.f64 b #s(literal 4 binary64)))
(* b (+ 4 (* -12 a)))
(*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b)
(* b (+ 4 (+ (* -12 a) (pow b 2))))
(*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b)
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b)
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(*.f64 (+.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b)) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(*.f64 (-.f64 (+.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b)
(* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))) (/ 1 (pow b 2))))
(fma.f64 (fma.f64 (*.f64 a a) (+.f64 (/.f64 (/.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) b) b) #s(literal 2 binary64)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(*.f64 (+.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b))) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 4 binary64))
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b) #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))
(pow b 3)
(pow.f64 b #s(literal 3 binary64))
(* (pow b 3) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b) #s(literal -1 binary64)) (pow.f64 b #s(literal 3 binary64)))
(* (pow b 2) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(fma.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -12 binary64) #s(literal 1 binary64)) (*.f64 b b) #s(literal 4 binary64))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 4 (* -12 a)) (pow b 2))) 1)))
(*.f64 (neg.f64 (pow.f64 b #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b)))

rewrite174.0ms (2.7%)

Memory
60.1MiB live, 60.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050460
078453
1381440
23325440
09194405
Stop Event
iter limit
node limit
iter limit
Counts
23 → 368
Calls
Call 1
Inputs
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))))
(*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))))
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64))))
#s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))
(*.f64 (*.f64 b b) #s(literal 4 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
(fma.f64 b b #s(literal 4 binary64))
(*.f64 b b)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64))
(+.f64 #s(literal 4 binary64) a)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b))
(*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b)
(*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b)
(*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) b)
(*.f64 a a)
(fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))
Outputs
(*.f64 (-.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 a a))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 a a))))) (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))) (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (-.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 a a))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 a a)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 a a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 a a))))) (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) #s(literal 3 binary64)))))
(fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))
(fma.f64 (fma.f64 #s(literal 144 binary64) (*.f64 a a) #s(literal -16 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) a #s(literal -4 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 a a)))
(fma.f64 (fma.f64 #s(literal -1728 binary64) (pow.f64 a #s(literal 3 binary64)) #s(literal 64 binary64)) (pow.f64 (fma.f64 #s(literal 144 binary64) (*.f64 a a) (-.f64 #s(literal 16 binary64) (*.f64 a #s(literal -48 binary64)))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 a a)))
(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 #s(literal -3 binary64) a) #s(literal 4 binary64) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a a))))
(fma.f64 #s(literal -12 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a a))))
(fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #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 #s(literal 4 binary64) (*.f64 #s(literal -3 binary64) a) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a a))))
(fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 a a)))
(fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))
(fma.f64 a (*.f64 #s(literal 2 binary64) a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))
(fma.f64 a #s(literal -12 binary64) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a a))))
(-.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))))
(+.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64))
(+.f64 (*.f64 #s(literal -12 binary64) a) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a a))))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))
(+.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 a a)))
(*.f64 (fma.f64 #s(literal 144 binary64) (*.f64 a a) #s(literal -16 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) a #s(literal -4 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1728 binary64) (pow.f64 a #s(literal 3 binary64)) #s(literal 64 binary64)) (pow.f64 (fma.f64 #s(literal 144 binary64) (*.f64 a a) (-.f64 #s(literal 16 binary64) (*.f64 a #s(literal -48 binary64)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal -4 binary64)) (fma.f64 #s(literal 144 binary64) (*.f64 a a) #s(literal -16 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 144 binary64) (*.f64 a a) (-.f64 #s(literal 16 binary64) (*.f64 a #s(literal -48 binary64)))) (fma.f64 #s(literal -1728 binary64) (pow.f64 a #s(literal 3 binary64)) #s(literal 64 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 144 binary64) (*.f64 a a)) (fma.f64 #s(literal -12 binary64) a #s(literal -4 binary64))) (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal -4 binary64)) #s(literal 16 binary64))) (pow.f64 (fma.f64 #s(literal -12 binary64) a #s(literal -4 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (*.f64 a a))) #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) a #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 a a) #s(literal -1 binary64)) #s(literal 4 binary64)) (fma.f64 #s(literal -3 binary64) a #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 a #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) a) (fma.f64 #s(literal 3 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 a #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64)) (fma.f64 #s(literal 9 binary64) (*.f64 a a) (fma.f64 #s(literal 3 binary64) a #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (*.f64 a a)))) (fma.f64 #s(literal 3 binary64) a #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 9 binary64) (*.f64 a a) #s(literal -1 binary64))) (fma.f64 #s(literal -3 binary64) a #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -27 binary64) (pow.f64 a #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal 3 binary64) a) (fma.f64 #s(literal 3 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -27 binary64) (pow.f64 a #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 9 binary64) (*.f64 a a) (fma.f64 #s(literal 3 binary64) a #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 16 binary64) (*.f64 #s(literal 144 binary64) (*.f64 a a))) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal -12 binary64) a)))
(/.f64 (neg.f64 (fma.f64 #s(literal 144 binary64) (*.f64 a a) #s(literal -16 binary64))) (neg.f64 (fma.f64 #s(literal -12 binary64) a #s(literal -4 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1728 binary64) (pow.f64 a #s(literal 3 binary64)) #s(literal 64 binary64))) (neg.f64 (fma.f64 #s(literal 144 binary64) (*.f64 a a) (-.f64 #s(literal 16 binary64) (*.f64 a #s(literal -48 binary64))))))
(/.f64 (fma.f64 #s(literal 144 binary64) (*.f64 a a) #s(literal -16 binary64)) (fma.f64 #s(literal -12 binary64) a #s(literal -4 binary64)))
(/.f64 (fma.f64 #s(literal -1728 binary64) (pow.f64 a #s(literal 3 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 16 binary64) (-.f64 (*.f64 #s(literal 144 binary64) (*.f64 a a)) (*.f64 a #s(literal -48 binary64)))))
(/.f64 (fma.f64 #s(literal -1728 binary64) (pow.f64 a #s(literal 3 binary64)) #s(literal 64 binary64)) (fma.f64 #s(literal 144 binary64) (*.f64 a a) (-.f64 #s(literal 16 binary64) (*.f64 a #s(literal -48 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal -4 binary64)) (fma.f64 #s(literal 144 binary64) (*.f64 a a) #s(literal -16 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 144 binary64) (*.f64 a a) (-.f64 #s(literal 16 binary64) (*.f64 a #s(literal -48 binary64)))) (fma.f64 #s(literal -1728 binary64) (pow.f64 a #s(literal 3 binary64)) #s(literal 64 binary64))))
(fma.f64 (*.f64 #s(literal 4 binary64) a) #s(literal -3 binary64) #s(literal 4 binary64))
(fma.f64 (*.f64 #s(literal -3 binary64) a) #s(literal 4 binary64) #s(literal 4 binary64))
(fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))
(fma.f64 #s(literal -3 binary64) (*.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))
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eval80.0ms (1.2%)

Memory
52.3MiB live, 52.3MiB allocated
Compiler

Compiled 37 774 to 2 160 computations (94.3% saved)

prune32.0ms (0.5%)

Memory
29.5MiB live, 29.5MiB allocated
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New52811539
Fresh235
Picked415
Done202
Total53615551
Accuracy
100.0%
Counts
551 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.0%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))) #s(literal 1 binary64))
67.4%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) #s(approx (+ (* b b) (+ (* -12 a) 4)) (*.f64 (fma.f64 (/.f64 b a) b (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64))) a)))) #s(literal 1 binary64))
64.8%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
66.3%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 #s(approx (* (+ (* b b) (+ (* -12 a) 4)) b) (*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64)) b) a)) b)) #s(literal 1 binary64))
69.1%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))
65.1%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
69.1%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
73.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))))
37.2%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)))
64.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) (*.f64 a a) #s(literal -1 binary64)))
47.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64)))
43.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 a #s(literal 4 binary64)))
51.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))))
22.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(literal -1 binary64)))
50.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) b) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
Compiler

Compiled 1 421 to 845 computations (40.5% saved)

simplify177.0ms (2.7%)

Memory
53.0MiB live, 53.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
065618
092618
1178600
2372592
31004592
42836592
54644582
08234541
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))))
(fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b)
#s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64)))
(*.f64 (*.f64 a a) #s(literal 2 binary64))
(*.f64 a a)
a
#s(literal 2 binary64)
b
(fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64))
(+.f64 #s(literal 4 binary64) a)
#s(literal 4 binary64)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(literal -1 binary64)))
#s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)))
(fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64))
#s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
#s(literal 4 binary64)
a
(*.f64 a a)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) (*.f64 a a) #s(literal -1 binary64)))
(fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) (*.f64 a a) #s(literal -1 binary64))
#s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a))
(*.f64 (+.f64 #s(literal 4 binary64) a) a)
(+.f64 #s(literal 4 binary64) a)
#s(literal 4 binary64)
a
(*.f64 a a)
#s(literal -1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 #s(approx (* (+ (* b b) (+ (* -12 a) 4)) b) (*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64)) b) a)) b)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 #s(approx (* (+ (* b b) (+ (* -12 a) 4)) b) (*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64)) b) a)) b))
(*.f64 #s(approx (* (+ (* b b) (+ (* -12 a) 4)) b) (*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64)) b) a)) b)
#s(approx (* (+ (* b b) (+ (* -12 a) 4)) b) (*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64)) b) a))
(*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64)) b) a)
(*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64)) b)
(-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))
(/.f64 (fma.f64 b b #s(literal 4 binary64)) a)
(fma.f64 b b #s(literal 4 binary64))
b
#s(literal 4 binary64)
a
#s(literal 12 binary64)
#s(literal 1 binary64)
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 b b) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))))
(fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(fma.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 b b) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
(*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b)
#s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64)))
(*.f64 (*.f64 a a) #s(literal 2 binary64))
(*.f64 a a)
a
#s(literal 2 binary64)
b
(fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64))
(+.f64 #s(literal 4 binary64) a)
#s(literal 4 binary64)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(literal -1 binary64)))
#s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)))
(fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64))
#s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
#s(literal 4 binary64)
a
(*.f64 a a)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) (*.f64 a a) #s(literal -1 binary64)))
(fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) (*.f64 a a) #s(literal -1 binary64))
#s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a))
(*.f64 (+.f64 #s(literal 4 binary64) a) a)
(+.f64 #s(literal 4 binary64) a)
#s(literal 4 binary64)
a
(*.f64 a a)
#s(literal -1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 #s(approx (* (+ (* b b) (+ (* -12 a) 4)) b) (*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64)) b) a)) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 #s(approx (* (+ (* b b) (+ (* -12 a) 4)) b) (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b)) b)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 #s(approx (* (+ (* b b) (+ (* -12 a) 4)) b) (*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64)) b) a)) b))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 #s(approx (* (+ (* b b) (+ (* -12 a) 4)) b) (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b)) b))
(*.f64 #s(approx (* (+ (* b b) (+ (* -12 a) 4)) b) (*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64)) b) a)) b)
(*.f64 #s(approx (* (+ (* b b) (+ (* -12 a) 4)) b) (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b)) b)
#s(approx (* (+ (* b b) (+ (* -12 a) 4)) b) (*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64)) b) a))
#s(approx (* (+ (* b b) (+ (* -12 a) 4)) b) (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b))
(*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64)) b) a)
(*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b)
(*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64)) b)
(-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))
(/.f64 (fma.f64 b b #s(literal 4 binary64)) a)
(fma.f64 b b #s(literal 4 binary64))
b
#s(literal 4 binary64)
a
#s(literal 12 binary64)
#s(literal 1 binary64)

localize121.0ms (1.9%)

Memory
48.1MiB live, 48.1MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.14453125
(*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64)) b)
accuracy2.8615309213832516
(/.f64 (fma.f64 b b #s(literal 4 binary64)) a)
accuracy3.654971122551899
(*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64)) b) a)
accuracy23.815631584948246
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 #s(approx (* (+ (* b b) (+ (* -12 a) 4)) b) (*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64)) b) a)) b))
accuracy0.015625
(*.f64 (+.f64 #s(literal 4 binary64) a) a)
accuracy0.0625
(fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) (*.f64 a a) #s(literal -1 binary64))
accuracy22.27733055980881
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) (*.f64 a a) #s(literal -1 binary64)))
accuracy31.59083518563621
#s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a))
accuracy0
(*.f64 a a)
accuracy0.0625
(fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64))
accuracy22.27733055980881
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)))
accuracy30.272213718069956
#s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))
accuracy22.27733055980881
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(literal -1 binary64)))
accuracy31.518238910239592
#s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(literal -1 binary64))
accuracy0.0625
(fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
accuracy5.665181170725837
(*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b)
accuracy8.842285354687471
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))))
accuracy32.08291194522229
#s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64)))
Samples
74.0ms239×0valid
7.0ms2valid
5.0ms1valid
Compiler

Compiled 1 062 to 119 computations (88.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-mult: 31.0ms (49.8% of total)
ival-add: 18.0ms (28.9% of total)
ival-sub: 4.0ms (6.4% of total)
ival-pow2: 3.0ms (4.8% of total)
adjust: 2.0ms (3.2% of total)
ival-div: 2.0ms (3.2% of total)
exact: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series22.0ms (0.3%)

Memory
10.8MiB live, 10.8MiB allocated
Counts
22 → 93
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))))
(fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b)
#s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(literal -1 binary64)))
#s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(literal -1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)))
(fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64))
#s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) (*.f64 a a) #s(literal -1 binary64)))
(fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) (*.f64 a a) #s(literal -1 binary64))
#s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a))
(*.f64 (+.f64 #s(literal 4 binary64) a) a)
(*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64)) b) a)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 #s(approx (* (+ (* b b) (+ (* -12 a) 4)) b) (*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64)) b) a)) b)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 #s(approx (* (+ (* b b) (+ (* -12 a) 4)) b) (*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64)) b) a)) b))
(*.f64 #s(approx (* (+ (* b b) (+ (* -12 a) 4)) b) (*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64)) b) a)) b)
(fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(*.f64 a a)
(/.f64 (fma.f64 b b #s(literal 4 binary64)) a)
(*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64)) b)
Outputs
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(- (* 4 (pow b 2)) 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)
(* 4 b)
(+ (* -12 (* a b)) (* 4 b))
(+ (* 4 b) (* a (+ (* -12 b) (* 2 (* a b)))))
4
(+ 4 (* -12 a))
(+ 4 (* a (- (* 2 a) 12)))
-1
(- (* 4 (pow a 2)) 1)
(- (* (pow a 2) (+ 4 (* 4 a))) 1)
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)
(+ 4 (* 4 a))
(+ 4 (* a (+ 4 a)))
(* 4 a)
(* a (+ 4 a))
(* b (+ 4 (pow b 2)))
(+ (* -12 (* a b)) (* b (+ 4 (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 b 2) (+ 4 (pow b 2)))
(+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2))))
(pow a 2)
(/ (+ 4 (pow b 2)) a)
(/ (* b (+ 4 (pow b 2))) a)
(/ (+ (* -12 (* a b)) (* b (+ 4 (pow b 2)))) a)
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 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)))))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* -12 (/ b a)) (* 2 b)))
(* (pow a 2) (+ (* -12 (/ b a)) (+ (* 2 b) (* 4 (/ b (pow a 2))))))
(* 2 (pow a 2))
(* (pow a 2) (- 2 (* 12 (/ 1 a))))
(* (pow a 2) (- (+ 2 (/ 4 (pow a 2))) (* 12 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))) (/ 1 (pow a 4))))
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* a (+ 4 (* 4 (/ 1 a))))
(* -12 (* a b))
(* a (+ (* -12 b) (/ (* b (+ 4 (pow b 2))) a)))
(* -12 (* a (pow b 2)))
(* a (+ (* -12 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) a)))
(* -12 b)
(+ (* -12 b) (/ (* b (+ 4 (pow b 2))) 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) (+ (* -1 (/ (+ (* -4 (/ b a)) (* 12 b)) a)) (* 2 b)))
(* (pow a 2) (+ 2 (* -1 (/ (- 12 (* 4 (/ 1 a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4) a))))
(* -1 (* a (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b))))
(* -1 (* a (+ (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (* 12 (pow b 2)))))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) 1)
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* a (* b (- (* 4 (/ 1 a)) 12)))
(* b (+ (* a (- (* 4 (/ 1 a)) 12)) (pow b 2)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 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)))
(* (pow b 2) (+ 4 (* -12 a)))
(* (pow b 2) (+ 4 (+ (* -12 a) (pow b 2))))
(/ 4 a)
(+ (* 4 (/ 1 a)) (/ (pow b 2) a))
(* b (- (* 4 (/ 1 a)) 12))
(* b (- (+ (* 4 (/ 1 a)) (/ (pow b 2) a)) 12))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))) (/ 1 (pow b 2))))
(pow b 3)
(* (pow b 3) (+ 1 (/ (* a (- (* 4 (/ 1 a)) 12)) (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 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(/ (pow b 2) a)
(* (pow b 2) (+ (/ 1 a) (* 4 (/ 1 (* a (pow b 2))))))
(/ (pow b 3) a)
(* (pow b 3) (- (+ (/ 1 a) (/ 4 (* a (pow b 2)))) (* 12 (/ 1 (pow b 2)))))
(* -1 (* (pow b 3) (- (* -1 (/ (* a (- (* 4 (/ 1 a)) 12)) (pow b 2))) 1)))
(* -1 (* (pow b 3) (- (* -1 (/ (- (* 4 (/ 1 a)) 12) (pow b 2))) (/ 1 a))))
Calls

6 calls:

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

simplify154.0ms (2.4%)

Memory
46.1MiB live, 46.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02721400
18801335
226901248
373571247
081021119
Stop Event
iter limit
node limit
Counts
93 → 93
Calls
Call 1
Inputs
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(- (* 4 (pow b 2)) 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)
(* 4 b)
(+ (* -12 (* a b)) (* 4 b))
(+ (* 4 b) (* a (+ (* -12 b) (* 2 (* a b)))))
4
(+ 4 (* -12 a))
(+ 4 (* a (- (* 2 a) 12)))
-1
(- (* 4 (pow a 2)) 1)
(- (* (pow a 2) (+ 4 (* 4 a))) 1)
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)
(+ 4 (* 4 a))
(+ 4 (* a (+ 4 a)))
(* 4 a)
(* a (+ 4 a))
(* b (+ 4 (pow b 2)))
(+ (* -12 (* a b)) (* b (+ 4 (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 b 2) (+ 4 (pow b 2)))
(+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2))))
(pow a 2)
(/ (+ 4 (pow b 2)) a)
(/ (* b (+ 4 (pow b 2))) a)
(/ (+ (* -12 (* a b)) (* b (+ 4 (pow b 2)))) a)
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 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)))))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* -12 (/ b a)) (* 2 b)))
(* (pow a 2) (+ (* -12 (/ b a)) (+ (* 2 b) (* 4 (/ b (pow a 2))))))
(* 2 (pow a 2))
(* (pow a 2) (- 2 (* 12 (/ 1 a))))
(* (pow a 2) (- (+ 2 (/ 4 (pow a 2))) (* 12 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))) (/ 1 (pow a 4))))
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* a (+ 4 (* 4 (/ 1 a))))
(* -12 (* a b))
(* a (+ (* -12 b) (/ (* b (+ 4 (pow b 2))) a)))
(* -12 (* a (pow b 2)))
(* a (+ (* -12 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) a)))
(* -12 b)
(+ (* -12 b) (/ (* b (+ 4 (pow b 2))) 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) (+ (* -1 (/ (+ (* -4 (/ b a)) (* 12 b)) a)) (* 2 b)))
(* (pow a 2) (+ 2 (* -1 (/ (- 12 (* 4 (/ 1 a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4) a))))
(* -1 (* a (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b))))
(* -1 (* a (+ (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (* 12 (pow b 2)))))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) 1)
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* a (* b (- (* 4 (/ 1 a)) 12)))
(* b (+ (* a (- (* 4 (/ 1 a)) 12)) (pow b 2)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 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)))
(* (pow b 2) (+ 4 (* -12 a)))
(* (pow b 2) (+ 4 (+ (* -12 a) (pow b 2))))
(/ 4 a)
(+ (* 4 (/ 1 a)) (/ (pow b 2) a))
(* b (- (* 4 (/ 1 a)) 12))
(* b (- (+ (* 4 (/ 1 a)) (/ (pow b 2) a)) 12))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))) (/ 1 (pow b 2))))
(pow b 3)
(* (pow b 3) (+ 1 (/ (* a (- (* 4 (/ 1 a)) 12)) (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 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(/ (pow b 2) a)
(* (pow b 2) (+ (/ 1 a) (* 4 (/ 1 (* a (pow b 2))))))
(/ (pow b 3) a)
(* (pow b 3) (- (+ (/ 1 a) (/ 4 (* a (pow b 2)))) (* 12 (/ 1 (pow b 2)))))
(* -1 (* (pow b 3) (- (* -1 (/ (* a (- (* 4 (/ 1 a)) 12)) (pow b 2))) 1)))
(* -1 (* (pow b 3) (- (* -1 (/ (- (* 4 (/ 1 a)) 12) (pow b 2))) (/ 1 a))))
Outputs
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(fma.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) a (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(-.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
(- (* 4 (pow b 2)) 1)
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
(- (+ (* -12 (* a (pow b 2))) (* 4 (pow b 2))) 1)
(fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))))) 1)
(-.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b (*.f64 (*.f64 a a) #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)
(-.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b (*.f64 (fma.f64 a a (pow.f64 a #s(literal 3 binary64))) #s(literal 4 binary64))) #s(literal 1 binary64))
(* 4 b)
(*.f64 #s(literal 4 binary64) b)
(+ (* -12 (* a b)) (* 4 b))
(*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b)
(+ (* 4 b) (* a (+ (* -12 b) (* 2 (* a b)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b)
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 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64))
-1
#s(literal -1 binary64)
(- (* 4 (pow a 2)) 1)
(fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))
(- (* (pow a 2) (+ 4 (* 4 a))) 1)
(fma.f64 (fma.f64 a a (pow.f64 a #s(literal 3 binary64))) #s(literal 4 binary64) #s(literal -1 binary64))
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)
(fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(+ 4 (* 4 a))
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
(+ 4 (* a (+ 4 a)))
(fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64))
(* 4 a)
(*.f64 #s(literal 4 binary64) a)
(* a (+ 4 a))
(*.f64 (+.f64 #s(literal 4 binary64) a) a)
(* b (+ 4 (pow b 2)))
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b)
(+ (* -12 (* a b)) (* b (+ 4 (pow b 2))))
(*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b)
(+ (* 4 (pow b 2)) (pow b 4))
(*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b)
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b (*.f64 (*.f64 a a) #s(literal 4 binary64))) (pow.f64 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 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))
(* (pow b 2) (+ 4 (pow b 2)))
(*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)
(+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b)
(pow a 2)
(*.f64 a a)
(/ (+ 4 (pow b 2)) a)
(/.f64 (fma.f64 b b #s(literal 4 binary64)) a)
(/ (* b (+ 4 (pow b 2))) a)
(*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b)
(/ (+ (* -12 (* a b)) (* b (+ 4 (pow b 2)))) a)
(*.f64 b (/.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) a))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a) (fma.f64 (*.f64 #s(literal 2 binary64) b) (/.f64 (/.f64 b a) a) #s(literal 1 binary64))) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a) (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) a)) #s(literal 1 binary64))) (pow.f64 a #s(literal 4 binary64)))
(* 2 (* (pow a 2) b))
(*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) b)
(* (pow a 2) (+ (* -12 (/ b a)) (* 2 b)))
(*.f64 (*.f64 b (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) a))) (*.f64 a a))
(* (pow a 2) (+ (* -12 (/ b a)) (+ (* 2 b) (* 4 (/ b (pow a 2))))))
(*.f64 (fma.f64 (/.f64 b a) (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))
(* 2 (pow a 2))
(*.f64 (*.f64 a a) #s(literal 2 binary64))
(* (pow a 2) (- 2 (* 12 (/ 1 a))))
(*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) a)) a) a)
(* (pow a 2) (- (+ 2 (/ 4 (pow a 2))) (* 12 (/ 1 a))))
(*.f64 (fma.f64 #s(literal 2 binary64) a (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) a)) a)
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (- (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))) (/ 1 (pow a 4))))
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 4 binary64))))) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 #s(literal 4 binary64) a) a)
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64))
(* a (+ 4 (* 4 (/ 1 a))))
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
(* -12 (* a b))
(*.f64 (*.f64 b a) #s(literal -12 binary64))
(* a (+ (* -12 b) (/ (* b (+ 4 (pow b 2))) a)))
(*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64)) b) a)
(* -12 (* a (pow b 2)))
(*.f64 (*.f64 (*.f64 b b) a) #s(literal -12 binary64))
(* a (+ (* -12 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) a)))
(*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64)) (*.f64 b b)) a)
(* -12 b)
(*.f64 #s(literal -12 binary64) b)
(+ (* -12 b) (/ (* b (+ 4 (pow b 2))) a))
(*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64)) b)
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) a)) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 (/ b a)) (* 12 b)) a)) (* 2 b)))
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) b (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 b a) (*.f64 #s(literal 12 binary64) b)) (neg.f64 a))) a) a)
(* (pow a 2) (+ 2 (* -1 (/ (- 12 (* 4 (/ 1 a))) a))))
(*.f64 (fma.f64 #s(literal 2 binary64) a (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) a)) a)
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) a)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* -1 (* a (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b))))
(*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64)) b) a)
(* -1 (* a (+ (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (* 12 (pow b 2)))))
(*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64)) (*.f64 b b)) a)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) 1)
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b)
(* a (* b (- (* 4 (/ 1 a)) 12)))
(*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b)
(* b (+ (* a (- (* 4 (/ 1 a)) 12)) (pow b 2)))
(*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b)
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 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 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a)))
(* (pow b 2) (+ 4 (* -12 a)))
(*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b)
(* (pow b 2) (+ 4 (+ (* -12 a) (pow b 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b)
(/ 4 a)
(/.f64 #s(literal 4 binary64) a)
(+ (* 4 (/ 1 a)) (/ (pow b 2) a))
(fma.f64 (/.f64 b a) b (/.f64 #s(literal 4 binary64) a))
(* b (- (* 4 (/ 1 a)) 12))
(*.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) b)
(* b (- (+ (* 4 (/ 1 a)) (/ (pow b 2) a)) 12))
(*.f64 (fma.f64 (/.f64 b a) b (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64))) b)
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(*.f64 (+.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b)) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(*.f64 (-.f64 (+.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b)
(* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))) (/ 1 (pow b 2))))
(*.f64 (fma.f64 (*.f64 a a) (+.f64 (/.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 2 binary64)) (fma.f64 #s(literal -12 binary64) a (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b))))) (*.f64 b b))
(pow b 3)
(pow.f64 b #s(literal 3 binary64))
(* (pow b 3) (+ 1 (/ (* a (- (* 4 (/ 1 a)) 12)) (pow b 2))))
(*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b) #s(literal -1 binary64)) (pow.f64 b #s(literal 3 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)))))))
(*.f64 (+.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b))) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b) #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))
(/ (pow b 2) a)
(*.f64 (/.f64 b a) b)
(* (pow b 2) (+ (/ 1 a) (* 4 (/ 1 (* a (pow b 2))))))
(*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) a) b (/.f64 b a)) b)
(/ (pow b 3) a)
(/.f64 (pow.f64 b #s(literal 3 binary64)) a)
(* (pow b 3) (- (+ (/ 1 a) (/ 4 (* a (pow b 2)))) (* 12 (/ 1 (pow b 2)))))
(*.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) b) b) (/.f64 #s(literal 1 binary64) a)) (pow.f64 b #s(literal 3 binary64)))
(* -1 (* (pow b 3) (- (* -1 (/ (* a (- (* 4 (/ 1 a)) 12)) (pow b 2))) 1)))
(*.f64 (neg.f64 (pow.f64 b #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b)))
(* -1 (* (pow b 3) (- (* -1 (/ (- (* 4 (/ 1 a)) 12) (pow b 2))) (/ 1 a))))
(*.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) b) b) (/.f64 #s(literal 1 binary64) a)) (pow.f64 b #s(literal 3 binary64)))

rewrite149.0ms (2.3%)

Memory
48.7MiB live, 48.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065542
092542
1409525
23502525
08407484
Stop Event
iter limit
node limit
iter limit
Counts
22 → 208
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))))
(fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b)
#s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(literal -1 binary64)))
#s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(literal -1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)))
(fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64))
#s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) (*.f64 a a) #s(literal -1 binary64)))
(fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) (*.f64 a a) #s(literal -1 binary64))
#s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a))
(*.f64 (+.f64 #s(literal 4 binary64) a) a)
(*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64)) b) a)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 #s(approx (* (+ (* b b) (+ (* -12 a) 4)) b) (*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64)) b) a)) b)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 #s(approx (* (+ (* b b) (+ (* -12 a) 4)) b) (*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64)) b) a)) b))
(*.f64 #s(approx (* (+ (* b b) (+ (* -12 a) 4)) b) (*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64)) b) a)) b)
(fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(*.f64 a a)
(/.f64 (fma.f64 b b #s(literal 4 binary64)) a)
(*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64)) b)
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 b b) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 b b)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 b b)) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) (-.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 b b))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 b b)) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 b b)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) (-.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 b b))))) (fma.f64 (pow.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 b b))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 b b))) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 b b)) #s(literal 2 binary64))) (-.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 b b))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 b b))) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 b b))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 b b))) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 b b)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 b b)) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) (-.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 b b)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 b b)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 b b)) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))))
(/.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 b b)) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))))))
(/.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) (-.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 b b)) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 b b)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) (-.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 b b))))) (fma.f64 (pow.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) #s(literal 3 binary64)))))
(fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (+.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 b b))))
(fma.f64 (fma.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 b b)))
(fma.f64 (fma.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) (*.f64 a #s(literal -1 binary64)))) #s(literal -1 binary64)) (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 b b)))
(fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) (+.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 b b))))
(fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
(fma.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 b b) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
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(*.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 #s(approx (* (+ (* b b) (+ (* -12 a) 4)) b) (*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64)) b) a)) b)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 #s(approx (* (+ (* b b) (+ (* -12 a) 4)) b) (*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64)) b) a)) b)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 #s(approx (* (+ (* b b) (+ (* -12 a) 4)) b) (*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64)) b) a)) b))
(*.f64 #s(approx (* (+ (* b b) (+ (* -12 a) 4)) b) (*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64)) b) a)) b)
(*.f64 b #s(approx (* (+ (* b b) (+ (* -12 a) 4)) b) (*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64)) b) a)))
(*.f64 (fma.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) (*.f64 a #s(literal -1 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal 1 binary64)) (fma.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) (*.f64 a #s(literal -1 binary64)))) (fma.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) (*.f64 a #s(literal -1 binary64))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) (*.f64 a #s(literal -1 binary64))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)) #s(literal -1 binary64)) (-.f64 (fma.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) (*.f64 a #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal 1 binary64)) (fma.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) (*.f64 a #s(literal -1 binary64)))) (fma.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))
(fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 a (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) #s(literal -1 binary64))
(-.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal 1 binary64))) (pow.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a))
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)))
(*.f64 (neg.f64 a) (neg.f64 a))
(*.f64 (*.f64 a a) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 a a))
(*.f64 a a)
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64))
(pow.f64 (neg.f64 a) #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 a #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 a (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 b b #s(literal -4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 a (+.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 64 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -1 binary64)))
(*.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 a #s(literal -1 binary64)) (fma.f64 b b #s(literal 4 binary64)))
(*.f64 (neg.f64 (fma.f64 b b #s(literal 4 binary64))) (pow.f64 (neg.f64 a) #s(literal -1 binary64)))
(*.f64 (fma.f64 b b #s(literal 4 binary64)) (pow.f64 a #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) a))
(pow.f64 (/.f64 (/.f64 a (fma.f64 b b #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 a (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)) (pow.f64 a #s(literal -1 binary64))) (fma.f64 b b #s(literal -4 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 64 binary64)) (pow.f64 a #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 b b #s(literal 4 binary64)))) (neg.f64 (neg.f64 a)))
(/.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 1 binary64)) a)
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 b b #s(literal -4 binary64)) a))
(/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 64 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) a))
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)) (*.f64 a (fma.f64 b b #s(literal -4 binary64))))
(/.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 64 binary64)) (*.f64 a (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
(/.f64 (neg.f64 (fma.f64 b b #s(literal 4 binary64))) (neg.f64 a))
(/.f64 (fma.f64 b b #s(literal 4 binary64)) a)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (fma.f64 b b #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (fma.f64 b b #s(literal 4 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 a (fma.f64 b b #s(literal 4 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 b b #s(literal 4 binary64))) a))
(neg.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) (neg.f64 a)))
(exp.f64 (*.f64 (log.f64 (/.f64 a (fma.f64 b b #s(literal 4 binary64)))) #s(literal -1 binary64)))
(*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64)) b)
(*.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 2 binary64)) #s(literal 144 binary64)) b) (+.f64 #s(literal 12 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) a)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 3 binary64)) #s(literal 1728 binary64)) b) (+.f64 (fma.f64 #s(literal 12 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 144 binary64)) (pow.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 2 binary64))))
(/.f64 (*.f64 b (-.f64 (pow.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 2 binary64)) #s(literal 144 binary64))) (+.f64 #s(literal 12 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) a)))
(/.f64 (*.f64 b (-.f64 (pow.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 3 binary64)) #s(literal 1728 binary64))) (+.f64 (fma.f64 #s(literal 12 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 144 binary64)) (pow.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 2 binary64))))
(fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b (*.f64 #s(literal -12 binary64) b))
(fma.f64 b (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) (*.f64 b #s(literal -12 binary64)))
(+.f64 (*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b) (*.f64 #s(literal -12 binary64) b))
(+.f64 (*.f64 b (/.f64 (fma.f64 b b #s(literal 4 binary64)) a)) (*.f64 b #s(literal -12 binary64)))

eval48.0ms (0.7%)

Memory
31.4MiB live, 31.4MiB allocated
Compiler

Compiled 22 921 to 1 483 computations (93.5% saved)

prune27.0ms (0.4%)

Memory
22.0MiB live, 22.0MiB allocated
Pruning

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New3184322
Fresh189
Picked325
Done011
Total32215337
Accuracy
100.0%
Counts
337 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.0%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))) #s(literal 1 binary64))
67.4%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) #s(approx (+ (* b b) (+ (* -12 a) 4)) (*.f64 (fma.f64 (/.f64 b a) b (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64))) a)))) #s(literal 1 binary64))
64.8%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
65.9%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 #s(approx (* (+ (* b b) (+ (* -12 a) 4)) b) (*.f64 #s(approx (* (- (/ (+ (* b b) 4) a) 12) b) (*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b)) a)) b)) #s(literal 1 binary64))
65.1%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
69.1%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))
69.1%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
64.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) a) a #s(literal -1 binary64)))
73.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))))
37.1%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(approx (* (+ 4 a) a) (*.f64 #s(literal 4 binary64) a))) (*.f64 a a) #s(literal -1 binary64)))
47.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64)))
43.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 a #s(literal 4 binary64)))
51.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))))
22.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(literal -1 binary64)))
50.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) b) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
Compiler

Compiled 2 256 to 638 computations (71.7% saved)

regimes48.0ms (0.7%)

Memory
20.3MiB live, 20.3MiB allocated
Counts
32 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) b) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(approx (* (+ 4 a) a) (*.f64 #s(literal 4 binary64) a))) (*.f64 a a) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) (*.f64 a a) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) a) a #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 #s(approx (* (+ (* b b) (+ (* -12 a) 4)) b) (*.f64 #s(approx (* (- (/ (+ (* b b) 4) a) 12) b) (*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b)) a)) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 #s(approx (* (+ (* b b) (+ (* -12 a) 4)) b) (*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64)) b) a)) b)) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) #s(approx (+ (* b b) (+ (* -12 a) 4)) (*.f64 (fma.f64 (/.f64 b a) b (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64))) a)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 a #s(literal 4 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))) #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))
Outputs
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))))
Calls

5 calls:

10.0ms
b
10.0ms
a
9.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
9.0ms
(*.f64 b b)
8.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
99.7%2a
98.5%3b
99.9%2(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
99.9%2(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
98.5%3(*.f64 b b)
Compiler

Compiled 65 to 44 computations (32.3% saved)

regimes29.0ms (0.4%)

Memory
12.7MiB live, 12.7MiB allocated
Counts
31 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) b) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(approx (* (+ 4 a) a) (*.f64 #s(literal 4 binary64) a))) (*.f64 a a) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) (*.f64 a a) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) a) a #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 #s(approx (* (+ (* b b) (+ (* -12 a) 4)) b) (*.f64 #s(approx (* (- (/ (+ (* b b) 4) a) 12) b) (*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b)) a)) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 #s(approx (* (+ (* b b) (+ (* -12 a) 4)) b) (*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64)) b) a)) b)) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) #s(approx (+ (* b b) (+ (* -12 a) 4)) (*.f64 (fma.f64 (/.f64 b a) b (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64))) a)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 a #s(literal 4 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
Outputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))) #s(literal 1 binary64))
Calls

3 calls:

9.0ms
a
9.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
8.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
99.7%2a
99.7%2(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
99.7%2(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
Compiler

Compiled 61 to 39 computations (36.1% saved)

regimes11.0ms (0.2%)

Memory
5.4MiB live, 5.4MiB allocated
Counts
30 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) b) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(approx (* (+ 4 a) a) (*.f64 #s(literal 4 binary64) a))) (*.f64 a a) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) (*.f64 a a) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) a) a #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 #s(approx (* (+ (* b b) (+ (* -12 a) 4)) b) (*.f64 #s(approx (* (- (/ (+ (* b b) 4) a) 12) b) (*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b)) a)) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 #s(approx (* (+ (* b b) (+ (* -12 a) 4)) b) (*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64)) b) a)) b)) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) #s(approx (+ (* b b) (+ (* -12 a) 4)) (*.f64 (fma.f64 (/.f64 b a) b (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64))) a)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 a #s(literal 4 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))) #s(literal 1 binary64))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))))
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))) #s(literal 1 binary64))
Calls

1 calls:

9.0ms
a
Results
AccuracySegmentsBranch
99.7%2a
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes27.0ms (0.4%)

Memory
12.1MiB live, 12.1MiB allocated
Counts
29 → 3
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) b) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(approx (* (+ 4 a) a) (*.f64 #s(literal 4 binary64) a))) (*.f64 a a) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) (*.f64 a a) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) a) a #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 #s(approx (* (+ (* b b) (+ (* -12 a) 4)) b) (*.f64 #s(approx (* (- (/ (+ (* b b) 4) a) 12) b) (*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b)) a)) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 #s(approx (* (+ (* b b) (+ (* -12 a) 4)) b) (*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64)) b) a)) b)) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) #s(approx (+ (* b b) (+ (* -12 a) 4)) (*.f64 (fma.f64 (/.f64 b a) b (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64))) a)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 a #s(literal 4 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))))
Calls

3 calls:

9.0ms
a
8.0ms
(+.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))))))
8.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
85.7%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))
85.7%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))))))
99.5%3a
Compiler

Compiled 61 to 39 computations (36.1% saved)

regimes10.0ms (0.2%)

Memory
5.0MiB live, 5.0MiB allocated
Counts
27 → 3
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) b) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(approx (* (+ 4 a) a) (*.f64 #s(literal 4 binary64) a))) (*.f64 a a) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) (*.f64 a a) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) a) a #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 #s(approx (* (+ (* b b) (+ (* -12 a) 4)) b) (*.f64 #s(approx (* (- (/ (+ (* b b) 4) a) 12) b) (*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b)) a)) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 #s(approx (* (+ (* b b) (+ (* -12 a) 4)) b) (*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64)) b) a)) b)) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) #s(approx (+ (* b b) (+ (* -12 a) 4)) (*.f64 (fma.f64 (/.f64 b a) b (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64))) a)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 a #s(literal 4 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))))
Calls

1 calls:

8.0ms
a
Results
AccuracySegmentsBranch
99.5%3a
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes22.0ms (0.3%)

Memory
9.9MiB live, 9.9MiB allocated
Counts
21 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) b) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(approx (* (+ 4 a) a) (*.f64 #s(literal 4 binary64) a))) (*.f64 a a) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) (*.f64 a a) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) a) a #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 #s(approx (* (+ (* b b) (+ (* -12 a) 4)) b) (*.f64 #s(approx (* (- (/ (+ (* b b) 4) a) 12) b) (*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b)) a)) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 #s(approx (* (+ (* b b) (+ (* -12 a) 4)) b) (*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64)) b) a)) b)) #s(literal 1 binary64))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
Calls

3 calls:

7.0ms
a
7.0ms
b
6.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
96.9%2b
96.9%2(*.f64 b b)
96.4%3a
Compiler

Compiled 5 to 7 computations (-40% saved)

regimes12.0ms (0.2%)

Memory
6.1MiB live, 6.1MiB allocated
Counts
17 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) b) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(approx (* (+ 4 a) a) (*.f64 #s(literal 4 binary64) a))) (*.f64 a a) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) (*.f64 a a) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) a) a #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
Calls

2 calls:

6.0ms
b
5.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
96.9%2b
96.9%2(*.f64 b b)
Compiler

Compiled 4 to 5 computations (-25% saved)

regimes12.0ms (0.2%)

Memory
5.9MiB live, 5.9MiB allocated
Counts
16 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) b) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(approx (* (+ 4 a) a) (*.f64 #s(literal 4 binary64) a))) (*.f64 a a) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) (*.f64 a a) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) a) a #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
Calls

2 calls:

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

Compiled 4 to 5 computations (-25% saved)

regimes10.0ms (0.2%)

Memory
5.1MiB live, 5.1MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) b) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(approx (* (+ 4 a) a) (*.f64 #s(literal 4 binary64) a))) (*.f64 a a) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) (*.f64 a a) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) a) a #s(literal -1 binary64)))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) a) a #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
Calls

2 calls:

5.0ms
b
4.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
96.4%2b
96.4%2(*.f64 b b)
Compiler

Compiled 4 to 5 computations (-25% saved)

regimes10.0ms (0.1%)

Memory
4.9MiB live, 4.9MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) b) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(approx (* (+ 4 a) a) (*.f64 #s(literal 4 binary64) a))) (*.f64 a a) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) (*.f64 a a) #s(literal -1 binary64)))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) (*.f64 a a) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
Calls

2 calls:

5.0ms
b
4.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
96.4%2b
96.4%2(*.f64 b b)
Compiler

Compiled 4 to 5 computations (-25% saved)

regimes9.0ms (0.1%)

Memory
4.7MiB live, 4.7MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) b) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(approx (* (+ 4 a) a) (*.f64 #s(literal 4 binary64) a))) (*.f64 a a) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
Outputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
Calls

2 calls:

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

Compiled 4 to 5 computations (-25% saved)

regimes12.0ms (0.2%)

Memory
6.6MiB live, 6.6MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) b) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(approx (* (+ 4 a) a) (*.f64 #s(literal 4 binary64) a))) (*.f64 a a) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(approx (* (+ 4 a) a) (*.f64 #s(literal 4 binary64) a))) (*.f64 a a) #s(literal -1 binary64)))
Calls

3 calls:

4.0ms
b
4.0ms
a
3.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
90.8%3a
87.2%2b
87.2%2(*.f64 b b)
Compiler

Compiled 5 to 7 computations (-40% saved)

regimes17.0ms (0.3%)

Memory
9.6MiB live, 9.6MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) b) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(approx (* (+ 4 a) a) (*.f64 #s(literal 4 binary64) a))) (*.f64 a a) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) b) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(approx (* (+ 4 a) a) (*.f64 #s(literal 4 binary64) a))) (*.f64 a a) #s(literal -1 binary64)))
Calls

5 calls:

3.0ms
a
3.0ms
b
3.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
3.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
3.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
72.2%2b
72.2%2(*.f64 b b)
62.5%2(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
62.5%2(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
75.1%3a
Compiler

Compiled 65 to 44 computations (32.3% saved)

regimes9.0ms (0.1%)

Memory
5.4MiB live, 5.4MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) b) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) b) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
Calls

3 calls:

3.0ms
a
3.0ms
b
2.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
72.2%2b
72.2%2(*.f64 b b)
72.6%3a
Compiler

Compiled 5 to 7 computations (-40% saved)

regimes11.0ms (0.2%)

Memory
7.2MiB live, 7.2MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) b) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) b) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
Calls

5 calls:

2.0ms
a
2.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
2.0ms
b
2.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
2.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
50.6%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))
50.6%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))))))
50.6%1a
50.6%1b
50.6%1(*.f64 b b)
Compiler

Compiled 65 to 44 computations (32.3% saved)

regimes9.0ms (0.1%)

Memory
6.9MiB live, 6.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

5 calls:

2.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
2.0ms
a
2.0ms
b
2.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
1.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
22.8%1b
22.8%1a
22.8%1(*.f64 b b)
22.8%1(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
22.8%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
Compiler

Compiled 65 to 44 computations (32.3% saved)

bsearch1.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
Compiler

Compiled 34 to 25 computations (26.5% saved)

bsearch30.0ms (0.5%)

Memory
9.8MiB live, 9.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
26.0ms
-2.773916307827648e+32
-135501111013112720.0
Samples
18.0ms160×0valid
Compiler

Compiled 914 to 613 computations (32.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 6.0ms (44.9% of total)
ival-add: 3.0ms (22.5% of total)
ival-sub: 2.0ms (15% of total)
ival-pow2: 2.0ms (15% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
2.0ms
-2.773916307827648e+32
-135501111013112720.0
Compiler

Compiled 1 074 to 663 computations (38.3% saved)

bsearch54.0ms (0.8%)

Memory
17.6MiB live, 17.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
3160215054988760.5
21703210233388163000.0
26.0ms
-1657.483669312243
-6.017867652712035e-10
Samples
33.0ms288×0valid
Compiler

Compiled 1 942 to 1 175 computations (39.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 11.0ms (45.6% of total)
ival-add: 6.0ms (24.9% of total)
ival-sub: 3.0ms (12.4% of total)
ival-pow2: 3.0ms (12.4% of total)
exact: 1.0ms (4.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch4.0ms (0.1%)

Memory
2.0MiB live, 2.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
2.0ms
3160215054988760.5
21703210233388163000.0
2.0ms
-1657.483669312243
-6.017867652712035e-10
Compiler

Compiled 1 960 to 1 175 computations (40.1% saved)

bsearch1.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
625950096663.4738
1.9439692140865516e+31
Compiler

Compiled 32 to 23 computations (28.1% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
625950096663.4738
1.9439692140865516e+31
Compiler

Compiled 32 to 23 computations (28.1% saved)

bsearch1.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
37086.92044249041
1372731.8969984546
Compiler

Compiled 32 to 23 computations (28.1% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
37086.92044249041
1372731.8969984546
Compiler

Compiled 32 to 23 computations (28.1% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
37086.92044249041
1372731.8969984546
Compiler

Compiled 32 to 23 computations (28.1% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
37086.92044249041
1372731.8969984546
Compiler

Compiled 32 to 23 computations (28.1% saved)

bsearch62.0ms (1%)

Memory
20.1MiB live, 20.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
25.0ms
3.2547305092953456e+91
2.241748800542139e+106
28.0ms
-3.3395002379905764e+143
-2.9574452013986566e+121
Samples
38.0ms336×0valid
Compiler

Compiled 2 007 to 1 231 computations (38.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 13.0ms (46.1% of total)
ival-add: 7.0ms (24.8% of total)
ival-pow2: 4.0ms (14.2% of total)
ival-sub: 3.0ms (10.6% of total)
exact: 1.0ms (3.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch29.0ms (0.4%)

Memory
9.8MiB live, 9.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
2.0ms
3.2547305092953456e+91
2.241748800542139e+106
23.0ms
-1.6802531860988494e+118
-1.9322665109130866e+112
Samples
17.0ms144×0valid
Compiler

Compiled 2 372 to 1 400 computations (41% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 6.0ms (48.7% of total)
ival-add: 3.0ms (24.3% of total)
ival-sub: 2.0ms (16.2% of total)
ival-pow2: 2.0ms (16.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch23.0ms (0.4%)

Memory
7.4MiB live, 7.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
6.666373508985444e+299
6.230709128011594e+302
Samples
14.0ms128×0valid
Compiler

Compiled 992 to 599 computations (39.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 4.0ms (39.7% of total)
ival-add: 3.0ms (29.8% of total)
ival-sub: 1.0ms (9.9% of total)
ival-pow2: 1.0ms (9.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify59.0ms (0.9%)

Memory
21.9MiB live, 21.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01551828
11981828
22291828
32641828
42941828
53311828
63931828
75101828
86481828
97631828
108541828
119071828
129231828
139241828
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal +inf.0 binary64)) (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))))
(if (<=.f64 a #s(literal -270000000000000012687198100914176 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))) #s(literal 1 binary64)))
(if (<=.f64 a #s(literal -270000000000000012687198100914176 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))) (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))) #s(literal 1 binary64)))
(if (<=.f64 a #s(literal -2597301565578305/295147905179352825856 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))) (if (<=.f64 a #s(literal 3200000000000000 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))))))
(if (<=.f64 a #s(literal -2597301565578305/295147905179352825856 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))) (if (<=.f64 a #s(literal 3200000000000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))))))
(if (<=.f64 (*.f64 b b) #s(literal 1000000000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b)) #s(literal 1 binary64)))
(if (<=.f64 (*.f64 b b) #s(literal 1000000000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64)))
(if (<=.f64 (*.f64 b b) #s(literal 50000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 50000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) a) a #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 50000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) (*.f64 a a) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 50000 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
(if (<=.f64 a #s(literal -329999999999999999171399884227318331762312790736328548627377585711751554341118099526807030418727415062764150738731056750664292091677564953690112 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64)))) (if (<=.f64 a #s(literal 3600000000000000166039865959776532940099757865137360072296060907709035148082832127271489166400129335296 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(approx (* (+ 4 a) a) (*.f64 #s(literal 4 binary64) a))) (*.f64 a a) #s(literal -1 binary64)))))
(if (<=.f64 a #s(literal -16500000000000000064252302355297860555645127062846833499522304658506062983750655739796395004053201642988244056290623488 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64)))) (if (<=.f64 a #s(literal 3500000000000000106169510082028669007832292574792340059126042460567371122806756024496225910385306238976 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) b) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(approx (* (+ 4 a) a) (*.f64 #s(literal 4 binary64) a))) (*.f64 a a) #s(literal -1 binary64)))))
(if (<=.f64 (*.f64 b b) #s(literal 115000000000000003064013612392942203004888890527637182552802819965068364557180723883551393813442757274689382048468944810750942591680503415289980610160659887445903365901766965863908795991480882471454609953426168253205937124778404289073087651663956210562416880016990370902293091081014758841997133432750080 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) b) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) b) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(literal -1 binary64)))
Outputs
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal +inf.0 binary64)) (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)) (*.f64 b b)) (*.f64 (-.f64 #s(literal -1 binary64) a) (*.f64 a a))) #s(literal 4 binary64)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) #s(literal 2 binary64))) #s(literal +inf.0 binary64)) (-.f64 (+.f64 (*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)) (*.f64 b b)) (*.f64 (-.f64 #s(literal -1 binary64) a) (*.f64 a a))) #s(literal 4 binary64)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 #s(literal 2 binary64) (*.f64 a a))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))))
(if (<=.f64 a #s(literal -270000000000000012687198100914176 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))) #s(literal 1 binary64)))
(if (<=.f64 a #s(literal -270000000000000012687198100914176 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)))) #s(literal 1 binary64)) (-.f64 (+.f64 (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(if (<=.f64 a #s(literal -270000000000000012687198100914176 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))) (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))) #s(literal 1 binary64)))
(if (<=.f64 a #s(literal -270000000000000012687198100914176 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 #s(literal 2 binary64) (*.f64 a a))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))) (-.f64 (+.f64 (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(if (<=.f64 a #s(literal -2597301565578305/295147905179352825856 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))) (if (<=.f64 a #s(literal 3200000000000000 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))))))
(if (<=.f64 a #s(literal -2597301565578305/295147905179352825856 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 #s(literal 2 binary64) (*.f64 a a))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))) (if (<=.f64 a #s(literal 3200000000000000 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 #s(literal 2 binary64) (*.f64 a a))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))))))
(if (<=.f64 a #s(literal -2597301565578305/295147905179352825856 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))) (if (<=.f64 a #s(literal 3200000000000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))))))
(if (<=.f64 a #s(literal -2597301565578305/295147905179352825856 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 #s(literal 2 binary64) (*.f64 a a))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))) (if (<=.f64 a #s(literal 3200000000000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (*.f64 #s(literal 2 binary64) (*.f64 a a))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))))))
(if (<=.f64 (*.f64 b b) #s(literal 1000000000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b)) #s(literal 1 binary64)))
(if (<=.f64 (*.f64 b b) #s(literal 1000000000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64)))
(if (<=.f64 (*.f64 b b) #s(literal 1000000000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (*.f64 b b))) #s(literal 1 binary64)))
(if (<=.f64 (*.f64 b b) #s(literal 50000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 50000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) a) a #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 50000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) (*.f64 a a) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 50000 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
(if (<=.f64 a #s(literal -329999999999999999171399884227318331762312790736328548627377585711751554341118099526807030418727415062764150738731056750664292091677564953690112 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64)))) (if (<=.f64 a #s(literal 3600000000000000166039865959776532940099757865137360072296060907709035148082832127271489166400129335296 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(approx (* (+ 4 a) a) (*.f64 #s(literal 4 binary64) a))) (*.f64 a a) #s(literal -1 binary64)))))
(if (<=.f64 a #s(literal -16500000000000000064252302355297860555645127062846833499522304658506062983750655739796395004053201642988244056290623488 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64)))) (if (<=.f64 a #s(literal 3500000000000000106169510082028669007832292574792340059126042460567371122806756024496225910385306238976 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) b) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(approx (* (+ 4 a) a) (*.f64 #s(literal 4 binary64) a))) (*.f64 a a) #s(literal -1 binary64)))))
(if (<=.f64 (*.f64 b b) #s(literal 115000000000000003064013612392942203004888890527637182552802819965068364557180723883551393813442757274689382048468944810750942591680503415289980610160659887445903365901766965863908795991480882471454609953426168253205937124778404289073087651663956210562416880016990370902293091081014758841997133432750080 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) b) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) b) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(literal -1 binary64)))

soundness1.4s (21%)

Memory
20.6MiB live, 20.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044477
068477
1329466
22691466
08447410
050460
078453
1381440
23325440
09194405
02641380
18801323
226771221
374561219
081631087
065542
092542
1409525
23502525
08407484
02721400
18801335
226901248
373571247
081021119
02261191
17381146
222221113
364821089
08215969
0175755
1565733
21709713
35147699
08231625
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 2 733 to 835 computations (69.4% saved)

preprocess104.0ms (1.6%)

Memory
53.5MiB live, 53.5MiB allocated
Remove

(abs b)

Compiler

Compiled 3 976 to 466 computations (88.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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