Bouland and Aaronson, Equation (25)

Time bar (total: 13.6s)

analyze0.0ms (0%)

Memory
1.1MiB live, 1.1MiB 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)

sample1.5s (10.8%)

Memory
-147.3MiB live, 2 142.5MiB allocated
Samples
1.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 955.0ms
ival-mult: 357.0ms (37.4% of total)
ival-pow2: 328.0ms (34.3% of total)
ival-add: 172.0ms (18% of total)
ival-sub: 78.0ms (8.2% of total)
exact: 11.0ms (1.2% of total)
ival-true: 6.0ms (0.6% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess636.0ms (4.7%)

Memory
17.8MiB live, 914.3MiB allocated
Algorithm
egg-herbie
Rules
21 268×accelerator-lowering-fma.f32
21 268×accelerator-lowering-fma.f64
4 248×--lowering--.f32
4 248×--lowering--.f64
3 998×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047159
1171157
2671155
32845155
46808155
01931
15731
217531
358031
4194431
5347131
0805526
Stop Event
iter limit
node limit
node limit
Calls
Call 1
Inputs
(- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1)
Outputs
(- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1)
(fma.f64 (*.f64 b b) (+.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))) #s(literal -1 binary64)))
Symmetry

(abs b)

explain331.0ms (2.4%)

Memory
16.1MiB live, 610.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
410-0-(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
340-0-(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))
200-2(8.157134000150005e+122 1.6992709250742338e-160)(*.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-rescue410
(*.f64 b b)overflow65
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))overflow166
(*.f64 a a)overflow72
(+.f64 (*.f64 a a) (*.f64 b b))overflow120
(*.f64 b b)overflow65
(*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a))overflow84
(*.f64 a a)overflow72
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))overflow82
(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))overflow132
(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))overflow132
+.f64(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))nan-rescue340
(*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a))overflow84
(*.f64 a a)overflow72
(*.f64 b b)overflow65
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))overflow82
Confusion
Predicted +Predicted -
+640
-0192
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6400
-00192
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0192
153
211
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
60.0ms482×0valid
8.0ms24×2valid
1.0ms1valid
Compiler

Compiled 372 to 80 computations (78.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-mult: 18.0ms (41.4% of total)
ival-add: 11.0ms (25.3% of total)
ival-sub: 5.0ms (11.5% of total)
ival-pow2: 5.0ms (11.5% of total)
adjust: 2.0ms (4.6% of total)
exact: 1.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.9%
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
Compiler

Compiled 33 to 19 computations (42.4% saved)

simplify1.3s (9.2%)

Memory
-10.0MiB live, 729.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize97.0ms (0.7%)

Memory
-18.4MiB live, 60.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
accuracy93.1%
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))
accuracy88.5%
(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))
accuracy87.2%
(+.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))))))
Samples
45.0ms241×0valid
4.0ms12×2valid
1.0ms1valid
Compiler

Compiled 153 to 21 computations (86.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-mult: 27.0ms (70.6% of total)
ival-add: 5.0ms (13.1% of total)
ival-sub: 2.0ms (5.2% of total)
ival-pow2: 2.0ms (5.2% of total)
adjust: 1.0ms (2.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
15.0MiB live, 15.0MiB allocated
Counts
6 → 144
Calls
Call 1
Inputs
#<alt (pow (+ (* a a) (* b b)) 2)>
#<alt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))>
#<alt (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1)>
#<alt (+ (* a a) (* b b))>
#<alt (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))>
#<alt (* (* b b) (- 1 (* 3 a)))>
Outputs
#<alt (pow b 4)>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))>
#<alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))>
#<alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (pow a 4)>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))>
#<alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))>
#<alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (+ (* 4 (pow b 2)) (pow b 4))>
#<alt (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))>
#<alt (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))>
#<alt (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))>
#<alt (* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))>
#<alt (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))>
#<alt (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))>
#<alt (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))>
#<alt (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))>
#<alt (- (+ (* 4 (pow b 2)) (pow b 4)) 1)>
#<alt (- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))>
#<alt (* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))>
#<alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)>
#<alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)>
#<alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)>
#<alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))>
#<alt (pow b 2)>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (pow a 2)>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (pow b 2)>
#<alt (+ (* -3 (* a (pow b 2))) (pow b 2))>
#<alt (+ (* a (+ a (* -3 (pow b 2)))) (pow b 2))>
#<alt (+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2))>
#<alt (pow a 3)>
#<alt (* (pow a 3) (+ 1 (/ 1 a)))>
#<alt (* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a))))>
#<alt (* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3))))))>
#<alt (pow a 3)>
#<alt (* (pow a 3) (+ 1 (/ 1 a)))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1)))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1)))>
#<alt (* (pow a 2) (+ 1 a))>
#<alt (+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))>
#<alt (+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))>
#<alt (+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))>
#<alt (* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))>
#<alt (* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))>
#<alt (* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))>
#<alt (* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (pow b 2)>
#<alt (+ (* -3 (* a (pow b 2))) (pow b 2))>
#<alt (+ (* -3 (* a (pow b 2))) (pow b 2))>
#<alt (+ (* -3 (* a (pow b 2))) (pow b 2))>
#<alt (* -3 (* a (pow b 2)))>
#<alt (* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))>
#<alt (* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))>
#<alt (* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))>
#<alt (* -3 (* a (pow b 2)))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))>
Calls

36 calls:

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

rewrite945.0ms (6.9%)

Memory
-14.8MiB live, 708.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 620×accelerator-lowering-fma.f32
5 620×accelerator-lowering-fma.f64
4 066×/-lowering-/.f32
4 066×/-lowering-/.f64
3 976×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019102
1132102
21240102
0823582
Stop Event
iter limit
node limit
Counts
6 → 540
Calls
Call 1
Inputs
(pow (+ (* a a) (* b b)) 2)
(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
(- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1)
(+ (* a a) (* b b))
(+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))
(* (* b b) (- 1 (* 3 a)))
Outputs
(+.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)))
(+.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)))
(+.f64 (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))))
(+.f64 (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (fma.f64 a a (*.f64 b b)))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (fma.f64 a a (*.f64 b b)))) #s(literal 1 binary64)))
(fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))))
(fma.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b)) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))))
(fma.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)))
(fma.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)))
(/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a))) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a)))) (*.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a)))) (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) (fma.f64 a a (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 a a (*.f64 b b)))))
(/.f64 (*.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a))))) (*.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a))) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a)))))
(/.f64 (*.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (*.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a))))) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a)))))
(/.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a))))) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a))))
(/.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (*.f64 (+.f64 a b) (-.f64 a b)))
(/.f64 (*.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) (fma.f64 a a (*.f64 b b))) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a))))
(/.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 a a (*.f64 b b))) (*.f64 (+.f64 a b) (-.f64 a b)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))))) (neg.f64 (*.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a))) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))))) (neg.f64 (*.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 (+.f64 a b) (-.f64 a b)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))))) (neg.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))))) (neg.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))))) (neg.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))))) (neg.f64 (*.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) (fma.f64 a a (*.f64 b b)))) (neg.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 a a (*.f64 b b)))) (neg.f64 (*.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) (-.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b))) (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a))) (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))) (-.f64 (*.f64 (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b)))) (*.f64 (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))) (-.f64 (*.f64 (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)))) (*.f64 (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a))) (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)))) (-.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b))))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b))) (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)))) (-.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)))) (*.f64 (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))))) (-.f64 (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b)))) (*.f64 (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))))) (-.f64 (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)))))
(pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (fma.f64 a a (*.f64 b b))))
(*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))
(*.f64 (*.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a)))) #s(literal 2 binary64)))
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(fma.f64 #s(literal 1 binary64) (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 a #s(literal -3 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 b b) (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 (*.f64 b b) (*.f64 a #s(literal -3 binary64))))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))
(/.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 a #s(literal 3 binary64)) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) #s(literal 9 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 a #s(literal 3 binary64)) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27 binary64))) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (*.f64 b b))))
(/.f64 (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27 binary64)))) (fma.f64 (*.f64 a #s(literal 3 binary64)) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27 binary64))) (*.f64 b b)) (fma.f64 (*.f64 a #s(literal 3 binary64)) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (*.f64 b b)) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27 binary64))))) (neg.f64 (fma.f64 (*.f64 a #s(literal 3 binary64)) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) #s(literal 9 binary64))))) (neg.f64 (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27 binary64))) (*.f64 b b))) (neg.f64 (fma.f64 (*.f64 a #s(literal 3 binary64)) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (*.f64 b b))) (neg.f64 (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64))))
(/.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (pow.f64 (*.f64 (*.f64 b b) (*.f64 a #s(literal -3 binary64))) #s(literal 3 binary64))) (fma.f64 b (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 a #s(literal -3 binary64))) (*.f64 (*.f64 b b) (*.f64 a #s(literal -3 binary64)))) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 a #s(literal -3 binary64)))))))
(/.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (pow.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) #s(literal 3 binary64))) (fma.f64 b (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))))
(/.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) (*.f64 a #s(literal -3 binary64))) (*.f64 (*.f64 b b) (*.f64 a #s(literal -3 binary64))))) (-.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 a #s(literal -3 binary64)))))
(/.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (-.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 b b) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))
(*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b))
(*.f64 (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) b)
(*.f64 (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a #s(literal 3 binary64)) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27 binary64))) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a #s(literal 3 binary64)) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64))))

simplify479.0ms (3.5%)

Memory
-15.5MiB live, 752.7MiB allocated
Algorithm
egg-herbie
Rules
22 048×accelerator-lowering-fma.f32
22 048×accelerator-lowering-fma.f64
4 280×*-lowering-*.f32
4 280×*-lowering-*.f64
3 958×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

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

eval155.0ms (1.1%)

Memory
18.5MiB live, 245.2MiB allocated
Compiler

Compiled 59 944 to 2 576 computations (95.7% saved)

prune102.0ms (0.7%)

Memory
18.4MiB live, 259.8MiB allocated
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New67113684
Fresh000
Picked101
Done000
Total67213685
Accuracy
100.0%
Counts
685 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.3%
(fma.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))
77.3%
(fma.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (+.f64 a b)) (/.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (-.f64 a b)) (fma.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))) #s(literal -1 binary64)))
11.8%
(fma.f64 (*.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 (+.f64 a b) (-.f64 a b)))) (fma.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))) #s(literal -1 binary64)))
39.5%
(fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))) #s(literal -1 binary64)))
71.8%
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
77.4%
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 a a))) #s(literal -1 binary64)))
65.4%
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
82.6%
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))
82.6%
(-.f64 (fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))) #s(literal 1 binary64))
39.1%
(-.f64 (+.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
63.8%
(-.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1 binary64))
50.3%
(*.f64 b (*.f64 b (*.f64 b b)))
42.5%
(*.f64 a (*.f64 a (*.f64 a a)))
Compiler

Compiled 804 to 374 computations (53.5% saved)

simplify418.0ms (3.1%)

Memory
-20.1MiB live, 945.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 a a (*.f64 b b))
cost-diff0
(/.f64 (fma.f64 a a (*.f64 b b)) (+.f64 a b))
cost-diff1408
(/.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (-.f64 a b))
cost-diff1408
(fma.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (+.f64 a b)) (/.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (-.f64 a b)) (fma.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))) #s(literal -1 binary64)))
cost-diff0
(*.f64 a a)
cost-diff0
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 a a))) #s(literal -1 binary64)))
cost-diff192
(fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))
cost-diff640
(fma.f64 #s(literal 4 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 a a)))
cost-diff0
(*.f64 a a)
cost-diff0
(*.f64 a (*.f64 a a))
cost-diff0
(*.f64 a (*.f64 a (*.f64 a a)))
cost-diff128
(-.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1 binary64))
cost-diff0
(*.f64 a a)
cost-diff0
(*.f64 a (*.f64 a a))
cost-diff0
(*.f64 a (*.f64 a (*.f64 a a)))
cost-diff0
(*.f64 b b)
cost-diff0
(fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a))
cost-diff128
(-.f64 (fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))) #s(literal 1 binary64))
cost-diff320
(fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))))
Rules
20 778×accelerator-lowering-fma.f32
20 778×accelerator-lowering-fma.f64
4 766×*-lowering-*.f32
4 766×*-lowering-*.f64
4 460×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050419
1172403
2580381
32072377
45949369
08403320
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(- (+ (* a (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))) (* (* b b) (+ (* b b) 4))) 1)
(+ (* a (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))) (* (* b b) (+ (* b b) 4)))
a
(+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))
(* b b)
b
(+ (* 2 a) -12)
2
-12
(* 4 a)
4
(* (* b b) (+ (* b b) 4))
(+ (* b b) 4)
1
(* a (* a (* a a)))
a
(* a (* a a))
(* a a)
(- (* a (* a (* a a))) 1)
(* a (* a (* a a)))
a
(* a (* a a))
(* a a)
1
(+ (* (* a a) (+ (* a a) (+ (* 4 a) 4))) (+ (* (* b b) (+ (* 4 (+ (* a -3) 1)) (* 2 (* a a)))) -1))
(* a a)
a
(+ (* a a) (+ (* 4 a) 4))
(+ (* 4 a) 4)
4
(+ (* (* b b) (+ (* 4 (+ (* a -3) 1)) (* 2 (* a a)))) -1)
(* b b)
b
(+ (* 4 (+ (* a -3) 1)) (* 2 (* a a)))
(+ (* a -3) 1)
-3
1
(* 2 (* a a))
2
-1
(+ (* (/ (+ (* a a) (* b b)) (+ a b)) (/ (* (+ (* a a) (* b b)) (* (+ a b) (- a b))) (- a b))) (+ (* 4 (+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a)))) -1))
(/ (+ (* a a) (* b b)) (+ a b))
(+ (* a a) (* b b))
a
(* b b)
b
(+ a b)
(/ (* (+ (* a a) (* b b)) (* (+ a b) (- a b))) (- a b))
(* (+ (* a a) (* b b)) (* (+ a b) (- a b)))
(* (+ a b) (- a b))
(- a b)
(+ (* 4 (+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a)))) -1)
4
(+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a)))
(* b (+ (* a -3) 1))
(+ (* a -3) 1)
-3
1
(* a (+ (* a a) a))
(+ (* a a) a)
-1
Outputs
(- (+ (* a (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))) (* (* b b) (+ (* b b) 4))) 1)
(fma.f64 a (*.f64 a #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))
(+ (* a (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))) (* (* b b) (+ (* b b) 4)))
(fma.f64 a (*.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64)))))
a
(+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))
(fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 a #s(literal 4 binary64)))
(* b b)
(*.f64 b b)
b
(+ (* 2 a) -12)
(fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))
2
#s(literal 2 binary64)
-12
#s(literal -12 binary64)
(* 4 a)
(*.f64 a #s(literal 4 binary64))
4
#s(literal 4 binary64)
(* (* b b) (+ (* b b) 4))
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))
(+ (* b b) 4)
(fma.f64 b b #s(literal 4 binary64))
1
#s(literal 1 binary64)
(* a (* a (* a a)))
(*.f64 a (*.f64 a (*.f64 a a)))
a
(* a (* a a))
(*.f64 a (*.f64 a a))
(* a a)
(*.f64 a a)
(- (* a (* a (* a a))) 1)
(fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1 binary64))
(* a (* a (* a a)))
(*.f64 a (*.f64 a (*.f64 a a)))
a
(* a (* a a))
(*.f64 a (*.f64 a a))
(* a a)
(*.f64 a a)
1
#s(literal 1 binary64)
(+ (* (* a a) (+ (* a a) (+ (* 4 a) 4))) (+ (* (* b b) (+ (* 4 (+ (* a -3) 1)) (* 2 (* a a)))) -1))
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))
(* a a)
(*.f64 a a)
a
(+ (* a a) (+ (* 4 a) 4))
(fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))
(+ (* 4 a) 4)
(fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))
4
#s(literal 4 binary64)
(+ (* (* b b) (+ (* 4 (+ (* a -3) 1)) (* 2 (* a a)))) -1)
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))
(* b b)
(*.f64 b b)
b
(+ (* 4 (+ (* a -3) 1)) (* 2 (* a a)))
(fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64))
(+ (* a -3) 1)
(fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))
-3
#s(literal -3 binary64)
1
#s(literal 1 binary64)
(* 2 (* a a))
(*.f64 #s(literal 2 binary64) (*.f64 a a))
2
#s(literal 2 binary64)
-1
#s(literal -1 binary64)
(+ (* (/ (+ (* a a) (* b b)) (+ a b)) (/ (* (+ (* a a) (* b b)) (* (+ a b) (- a b))) (- a b))) (+ (* 4 (+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a)))) -1))
(fma.f64 a (*.f64 a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))))
(/ (+ (* a a) (* b b)) (+ a b))
(/.f64 (fma.f64 b b (*.f64 a a)) (+.f64 a b))
(+ (* a a) (* b b))
(fma.f64 b b (*.f64 a a))
a
(* b b)
(*.f64 b b)
b
(+ a b)
(+.f64 a b)
(/ (* (+ (* a a) (* b b)) (* (+ a b) (- a b))) (- a b))
(*.f64 (fma.f64 b b (*.f64 a a)) (+.f64 a b))
(* (+ (* a a) (* b b)) (* (+ a b) (- a b)))
(*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b)))
(* (+ a b) (- a b))
(*.f64 (+.f64 a b) (-.f64 a b))
(- a b)
(-.f64 a b)
(+ (* 4 (+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a)))) -1)
(fma.f64 a (*.f64 a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) #s(literal -1 binary64)))
4
#s(literal 4 binary64)
(+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a)))
(fma.f64 a (fma.f64 (*.f64 b b) #s(literal -3 binary64) (fma.f64 a a a)) (*.f64 b b))
(* b (+ (* a -3) 1))
(fma.f64 b (*.f64 a #s(literal -3 binary64)) b)
(+ (* a -3) 1)
(fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))
-3
#s(literal -3 binary64)
1
#s(literal 1 binary64)
(* a (+ (* a a) a))
(*.f64 a (fma.f64 a a a))
(+ (* a a) a)
(fma.f64 a a a)
-1
#s(literal -1 binary64)

localize229.0ms (1.7%)

Memory
-0.8MiB live, 353.1MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy91.8%
(/.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (-.f64 a b))
accuracy90.3%
(fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a)))
accuracy87.2%
(fma.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (+.f64 a b)) (/.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (-.f64 a b)) (fma.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))) #s(literal -1 binary64)))
accuracy51.7%
(/.f64 (fma.f64 a a (*.f64 b b)) (+.f64 a b))
accuracy100.0%
(*.f64 #s(literal 2 binary64) (*.f64 a a))
accuracy100.0%
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 a a))) #s(literal -1 binary64)))
accuracy100.0%
(fma.f64 #s(literal 4 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 a a)))
accuracy89.9%
(fma.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 a a))) #s(literal -1 binary64))
accuracy100.0%
(-.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1 binary64))
accuracy100.0%
(*.f64 a a)
accuracy100.0%
(*.f64 a (*.f64 a (*.f64 a a)))
accuracy99.9%
(*.f64 a (*.f64 a a))
accuracy100.0%
(*.f64 a a)
accuracy100.0%
(*.f64 a (*.f64 a (*.f64 a a)))
accuracy99.9%
(*.f64 a (*.f64 a a))
accuracy100.0%
(*.f64 #s(literal 4 binary64) a)
accuracy99.9%
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))
accuracy99.9%
(fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a))
accuracy93.5%
(fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))))
Samples
118.0ms241×0valid
31.0ms12×2valid
2.0ms1valid
Compiler

Compiled 381 to 52 computations (86.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 105.0ms
ival-mult: 76.0ms (72.4% of total)
ival-add: 18.0ms (17.2% of total)
ival-sub: 4.0ms (3.8% of total)
adjust: 3.0ms (2.9% of total)
ival-div: 3.0ms (2.9% of total)
exact: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series27.0ms (0.2%)

Memory
27.3MiB live, 65.6MiB allocated
Counts
20 → 360
Calls
Call 1
Inputs
#<alt (+ (* a (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))) (* (* b b) (+ (* b b) 4)))>
#<alt (- (+ (* a (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))) (* (* b b) (+ (* b b) 4))) 1)>
#<alt (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))>
#<alt (* b b)>
#<alt (* a (* a (* a a)))>
#<alt (* a (* a a))>
#<alt (* a a)>
#<alt (- (* a (* a (* a a))) 1)>
#<alt (+ (* 4 (+ (* a -3) 1)) (* 2 (* a a)))>
#<alt (+ (* a a) (+ (* 4 a) 4))>
#<alt (+ (* (* a a) (+ (* a a) (+ (* 4 a) 4))) (+ (* (* b b) (+ (* 4 (+ (* a -3) 1)) (* 2 (* a a)))) -1))>
#<alt (+ (* (/ (+ (* a a) (* b b)) (+ a b)) (/ (* (+ (* a a) (* b b)) (* (+ a b) (- a b))) (- a b))) (+ (* 4 (+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a)))) -1))>
#<alt (/ (* (+ (* a a) (* b b)) (* (+ a b) (- a b))) (- a b))>
#<alt (/ (+ (* a a) (* b b)) (+ a b))>
#<alt (+ (* a a) (* b b))>
#<alt (* (* b b) (+ (* b b) 4))>
#<alt (* 4 a)>
#<alt (+ (* (* b b) (+ (* 4 (+ (* a -3) 1)) (* 2 (* a a)))) -1)>
#<alt (* 2 (* a a))>
#<alt (+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a)))>
Outputs
#<alt (* (pow b 2) (+ 4 (pow b 2)))>
#<alt (+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2))))>
#<alt (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 4 (pow b 2))))>
#<alt (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 4 (pow b 2))))>
#<alt (* (pow a 2) (+ 4 (* 2 (pow b 2))))>
#<alt (* (pow a 2) (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))))>
#<alt (* (pow a 2) (+ 4 (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))))))>
#<alt (* (pow a 2) (+ 4 (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))))))>
#<alt (* -1 (* (pow a 2) (- (* -2 (pow b 2)) 4)))>
#<alt (* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* -1 (- (* -2 (pow b 2)) 4))))>
#<alt (* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (* 12 (pow b 2))) a))))>
#<alt (* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (* 12 (pow b 2))) a))))>
#<alt (* 4 (pow a 2))>
#<alt (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12)))))>
#<alt (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2)))))>
#<alt (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2)))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))))>
#<alt (* (pow b 4) (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))))>
#<alt (* (pow b 4) (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))))>
#<alt (- (* (pow b 2) (+ 4 (pow b 2))) 1)>
#<alt (- (+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)>
#<alt (- (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 4 (pow b 2)))) 1)>
#<alt (- (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 4 (pow b 2)))) 1)>
#<alt (* (pow a 2) (+ 4 (* 2 (pow b 2))))>
#<alt (* (pow a 2) (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))))>
#<alt (* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))))) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))))) (/ 1 (pow a 2))))>
#<alt (* -1 (* (pow a 2) (- (* -2 (pow b 2)) 4)))>
#<alt (* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* -1 (- (* -2 (pow b 2)) 4))))>
#<alt (* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* -1 (/ (- (* (pow b 2) (+ 4 (pow b 2))) 1) a)) (* 12 (pow b 2))) a))))>
#<alt (* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* -1 (/ (- (* (pow b 2) (+ 4 (pow b 2))) 1) a)) (* 12 (pow b 2))) a))))>
#<alt (- (* 4 (pow a 2)) 1)>
#<alt (- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1)>
#<alt (- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))))) 1)>
#<alt (- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))))) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) (/ 1 (pow b 4))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) (/ 1 (pow b 4))))>
#<alt (* 4 a)>
#<alt (+ (* 4 a) (* (pow b 2) (- (* 2 a) 12)))>
#<alt (+ (* 4 a) (* (pow b 2) (- (* 2 a) 12)))>
#<alt (+ (* 4 a) (* (pow b 2) (- (* 2 a) 12)))>
#<alt (* (pow b 2) (- (* 2 a) 12))>
#<alt (* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))>
#<alt (* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))>
#<alt (* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))>
#<alt (* (pow b 2) (- (* 2 a) 12))>
#<alt (* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))>
#<alt (* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))>
#<alt (* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))>
#<alt (* -12 (pow b 2))>
#<alt (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))>
#<alt (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))>
#<alt (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))>
#<alt (* a (+ 4 (* 2 (pow b 2))))>
#<alt (* a (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))))>
#<alt (* a (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))))>
#<alt (* a (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))))>
#<alt (* -1 (* a (- (* -2 (pow b 2)) 4)))>
#<alt (* -1 (* a (- (+ (* -2 (pow b 2)) (* 12 (/ (pow b 2) a))) 4)))>
#<alt (* -1 (* a (- (+ (* -2 (pow b 2)) (* 12 (/ (pow b 2) a))) 4)))>
#<alt (* -1 (* a (- (+ (* -2 (pow b 2)) (* 12 (/ (pow b 2) a))) 4)))>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt -1>
#<alt (- (pow a 4) 1)>
#<alt (- (pow a 4) 1)>
#<alt (- (pow a 4) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (- 1 (/ 1 (pow a 4))))>
#<alt (* (pow a 4) (- 1 (/ 1 (pow a 4))))>
#<alt (* (pow a 4) (- 1 (/ 1 (pow a 4))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (- 1 (/ 1 (pow a 4))))>
#<alt (* (pow a 4) (- 1 (/ 1 (pow a 4))))>
#<alt (* (pow a 4) (- 1 (/ 1 (pow a 4))))>
#<alt 4>
#<alt (+ 4 (* -12 a))>
#<alt (+ 4 (* a (- (* 2 a) 12)))>
#<alt (+ 4 (* a (- (* 2 a) 12)))>
#<alt (* 2 (pow a 2))>
#<alt (* (pow a 2) (- 2 (* 12 (/ 1 a))))>
#<alt (* (pow a 2) (- (+ 2 (/ 4 (pow a 2))) (* 12 (/ 1 a))))>
#<alt (* (pow a 2) (- (+ 2 (/ 4 (pow a 2))) (* 12 (/ 1 a))))>
#<alt (* 2 (pow a 2))>
#<alt (* (pow a 2) (- 2 (* 12 (/ 1 a))))>
#<alt (* (pow a 2) (+ 2 (* -1 (/ (- 12 (* 4 (/ 1 a))) a))))>
#<alt (* (pow a 2) (+ 2 (* -1 (/ (- 12 (* 4 (/ 1 a))) a))))>
#<alt 4>
#<alt (+ 4 (* 4 a))>
#<alt (+ 4 (* a (+ 4 a)))>
#<alt (+ 4 (* a (+ 4 a)))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))>
#<alt (- (* 4 (pow b 2)) 1)>
#<alt (- (+ (* -12 (* a (pow b 2))) (* 4 (pow b 2))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a))))))) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))>
#<alt (* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))>
#<alt (- (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) 1)>
#<alt (- (+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) 1)>
#<alt (- (+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) 1)>
#<alt (- (+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) 1)>
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))>
#<alt (* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))>
#<alt (* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))>
#<alt (- (+ (* 4 (pow b 2)) (pow b 4)) 1)>
#<alt (- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))>
#<alt (* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))>
#<alt (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1)>
#<alt (- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (pow a 4))) 1)>
#<alt (- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) (pow a 4))) 1)>
#<alt (- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) (pow a 4))) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))>
#<alt (pow b 3)>
#<alt (+ (* a (pow b 2)) (pow b 3))>
#<alt (+ (* a (+ (* a b) (pow b 2))) (pow b 3))>
#<alt (+ (* a (+ (* a (+ a b)) (pow b 2))) (pow b 3))>
#<alt (pow a 3)>
#<alt (* (pow a 3) (+ 1 (/ b a)))>
#<alt (* (pow a 3) (+ 1 (+ (/ b a) (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 3) (+ 1 (+ (/ b a) (+ (/ (pow b 2) (pow a 2)) (/ (pow b 3) (pow a 3))))))>
#<alt (pow a 3)>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ b a)) 1)))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ b (/ (pow b 2) a)) a)) 1)))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ b (* -1 (/ (+ (* -1 (/ (pow b 3) a)) (* -1 (pow b 2))) a))) a)) 1)))>
#<alt (pow a 3)>
#<alt (+ (* (pow a 2) b) (pow a 3))>
#<alt (+ (* b (+ (* a b) (pow a 2))) (pow a 3))>
#<alt (+ (* b (+ (* b (+ a b)) (pow a 2))) (pow a 3))>
#<alt (pow b 3)>
#<alt (* (pow b 3) (+ 1 (/ a b)))>
#<alt (* (pow b 3) (+ 1 (+ (/ a b) (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 3) (+ 1 (+ (/ a b) (+ (/ (pow a 2) (pow b 2)) (/ (pow a 3) (pow b 3))))))>
#<alt (pow b 3)>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ a b)) 1)))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ a (/ (pow a 2) b)) b)) 1)))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* -1 (pow a 2))) b))) b)) 1)))>
#<alt b>
#<alt (+ b (* -1 a))>
#<alt (+ b (* a (- (* 2 (/ a b)) 1)))>
#<alt (+ b (* a (- (* a (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 b)))) 1)))>
#<alt a>
#<alt (* a (+ 1 (* -1 (/ b a))))>
#<alt (* a (- (+ 1 (/ (pow b 2) (pow a 2))) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))))>
#<alt (* a (- (+ 1 (+ (* -1 (/ (* b (- (pow b 2) (* -1 (pow b 2)))) (pow a 3))) (/ (pow b 2) (pow a 2)))) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))))>
#<alt a>
#<alt (* -1 (* a (- (/ b a) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* -1 (pow b 2)) (pow b 2)) a)) b) a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* b (- (* -1 (pow b 2)) (pow b 2))) a)) (* -1 (pow b 2))) (pow b 2)) a)) b) a)) 1)))>
#<alt a>
#<alt (+ a (* -1 b))>
#<alt (+ a (* b (- (* 2 (/ b a)) 1)))>
#<alt (+ a (* b (- (* b (+ (* -2 (/ b (pow a 2))) (* 2 (/ 1 a)))) 1)))>
#<alt b>
#<alt (* b (+ 1 (* -1 (/ a b))))>
#<alt (* b (- (+ 1 (/ (pow a 2) (pow b 2))) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b))))>
#<alt (* b (- (+ 1 (+ (* -1 (/ (* a (- (pow a 2) (* -1 (pow a 2)))) (pow b 3))) (/ (pow a 2) (pow b 2)))) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b))))>
#<alt b>
#<alt (* -1 (* b (- (/ a b) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (- (* -1 (/ (- (* -1 (pow a 2)) (pow a 2)) b)) a) b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* a (- (* -1 (pow a 2)) (pow a 2))) b)) (* -1 (pow a 2))) (pow a 2)) b)) a) b)) 1)))>
#<alt (pow b 2)>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (pow a 2)>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* 4 (pow b 2))>
#<alt (* (pow b 2) (+ 4 (pow b 2)))>
#<alt (* (pow b 2) (+ 4 (pow b 2)))>
#<alt (* (pow b 2) (+ 4 (pow b 2)))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* 4 a)>
#<alt (* 4 a)>
#<alt (* 4 a)>
#<alt (* 4 a)>
#<alt (* 4 a)>
#<alt (* 4 a)>
#<alt (* 4 a)>
#<alt (* 4 a)>
#<alt (* 4 a)>
#<alt (* 4 a)>
#<alt (* 4 a)>
#<alt (* 4 a)>
#<alt -1>
#<alt (- (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) 1)>
#<alt (- (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) 1)>
#<alt (- (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) 1)>
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))>
#<alt (* (pow b 2) (- (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))>
#<alt (* (pow b 2) (- (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (/ 1 (pow b 2))))>
#<alt (- (* 4 (pow b 2)) 1)>
#<alt (- (+ (* -12 (* a (pow b 2))) (* 4 (pow b 2))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* 2 (* a (pow b 2)))))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* 2 (* a (pow b 2)))))) 1)>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))>
#<alt (* (pow a 2) (- (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) (pow a 2))))) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) (pow a 2))))) (/ 1 (pow a 2))))>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (- (* 4 (pow b 2)) 1) a)) (* 12 (pow b 2))) a)) (* 2 (pow b 2))))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (- (* 4 (pow b 2)) 1) a)) (* 12 (pow b 2))) a)) (* 2 (pow b 2))))>
#<alt (* 2 (pow a 2))>
#<alt (* 2 (pow a 2))>
#<alt (* 2 (pow a 2))>
#<alt (* 2 (pow a 2))>
#<alt (* 2 (pow a 2))>
#<alt (* 2 (pow a 2))>
#<alt (* 2 (pow a 2))>
#<alt (* 2 (pow a 2))>
#<alt (* 2 (pow a 2))>
#<alt (* 2 (pow a 2))>
#<alt (* 2 (pow a 2))>
#<alt (* 2 (pow a 2))>
#<alt (* a (+ a (pow a 2)))>
#<alt (+ (* a (+ a (pow a 2))) (* (pow b 2) (+ 1 (* -3 a))))>
#<alt (+ (* a (+ a (pow a 2))) (* (pow b 2) (+ 1 (* -3 a))))>
#<alt (+ (* a (+ a (pow a 2))) (* (pow b 2) (+ 1 (* -3 a))))>
#<alt (* (pow b 2) (+ 1 (* -3 a)))>
#<alt (* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -3 a)))>
#<alt (* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (+ (* -3 (* a (pow b 2))) (pow b 2))>
#<alt (+ (* a (+ a (* -3 (pow b 2)))) (pow b 2))>
#<alt (+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2))>
#<alt (pow a 3)>
#<alt (* (pow a 3) (+ 1 (/ 1 a)))>
#<alt (* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a))))>
#<alt (* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3))))))>
#<alt (pow a 3)>
#<alt (* (pow a 3) (+ 1 (/ 1 a)))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1)))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1)))>
Calls

90 calls:

TimeVariablePointExpression
3.0ms
b
@inf
(+ (* (* a a) (+ (* a a) (+ (* 4 a) 4))) (+ (* (* b b) (+ (* 4 (+ (* a -3) 1)) (* 2 (* a a)))) -1))
2.0ms
b
@0
(+ (* (/ (+ (* a a) (* b b)) (+ a b)) (/ (* (+ (* a a) (* b b)) (* (+ a b) (- a b))) (- a b))) (+ (* 4 (+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a)))) -1))
1.0ms
a
@0
(+ (* a (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))) (* (* b b) (+ (* b b) 4)))
1.0ms
b
@0
(+ (* (* a a) (+ (* a a) (+ (* 4 a) 4))) (+ (* (* b b) (+ (* 4 (+ (* a -3) 1)) (* 2 (* a a)))) -1))
1.0ms
a
@0
(+ (* (* b b) (+ (* 4 (+ (* a -3) 1)) (* 2 (* a a)))) -1)

rewrite402.0ms (3%)

Memory
-8.5MiB live, 717.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 812×accelerator-lowering-fma.f32
5 812×accelerator-lowering-fma.f64
4 668×*-lowering-*.f32
4 668×*-lowering-*.f64
3 958×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050284
1392246
24204240
09686206
Stop Event
iter limit
node limit
Counts
20 → 628
Calls
Call 1
Inputs
(+ (* a (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))) (* (* b b) (+ (* b b) 4)))
(- (+ (* a (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))) (* (* b b) (+ (* b b) 4))) 1)
(+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))
(* b b)
(* a (* a (* a a)))
(* a (* a a))
(* a a)
(- (* a (* a (* a a))) 1)
(+ (* 4 (+ (* a -3) 1)) (* 2 (* a a)))
(+ (* a a) (+ (* 4 a) 4))
(+ (* (* a a) (+ (* a a) (+ (* 4 a) 4))) (+ (* (* b b) (+ (* 4 (+ (* a -3) 1)) (* 2 (* a a)))) -1))
(+ (* (/ (+ (* a a) (* b b)) (+ a b)) (/ (* (+ (* a a) (* b b)) (* (+ a b) (- a b))) (- a b))) (+ (* 4 (+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a)))) -1))
(/ (* (+ (* a a) (* b b)) (* (+ a b) (- a b))) (- a b))
(/ (+ (* a a) (* b b)) (+ a b))
(+ (* a a) (* b b))
(* (* b b) (+ (* b b) 4))
(* 4 a)
(+ (* (* b b) (+ (* 4 (+ (* a -3) 1)) (* 2 (* a a)))) -1)
(* 2 (* a a))
(+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a)))
Outputs
(+.f64 (*.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 a #s(literal 4 binary64)))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))))
(+.f64 (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))) (*.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 a #s(literal 4 binary64)))))
(+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (*.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 a #s(literal 4 binary64))))))
(+.f64 (*.f64 (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) (*.f64 (*.f64 b b) a)) (fma.f64 a (*.f64 a #s(literal 4 binary64)) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))))
(+.f64 (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 a #s(literal 4 binary64))) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 b b) #s(literal 4 binary64)))
(+.f64 (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (*.f64 (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) (*.f64 (*.f64 b b) a))) (*.f64 a (*.f64 a #s(literal 4 binary64))))
(-.f64 (/.f64 (*.f64 a (*.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 a #s(literal 4 binary64))) (*.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 a #s(literal 4 binary64)))))) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 a #s(literal 4 binary64))) (neg.f64 (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))))) (/.f64 (*.f64 b (*.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))))) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 a #s(literal 4 binary64))) (neg.f64 (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))))))
(fma.f64 a (*.f64 (*.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (fma.f64 a (*.f64 a #s(literal 4 binary64)) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))))
(fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 a #s(literal 4 binary64))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))))
(fma.f64 b (*.f64 b (*.f64 b b)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (*.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 a #s(literal 4 binary64))))))
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (*.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 a #s(literal 4 binary64)))))
(fma.f64 b (*.f64 (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) a) (fma.f64 a (*.f64 a #s(literal 4 binary64)) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))))
(fma.f64 (*.f64 b b) (*.f64 b b) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (*.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 a #s(literal 4 binary64))))))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) (*.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 a #s(literal 4 binary64)))))
(fma.f64 (*.f64 b b) (*.f64 (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) a) (fma.f64 a (*.f64 a #s(literal 4 binary64)) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))))
(fma.f64 (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) (*.f64 (*.f64 b b) a) (fma.f64 a (*.f64 a #s(literal 4 binary64)) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))))
(fma.f64 (*.f64 (*.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) a (fma.f64 a (*.f64 a #s(literal 4 binary64)) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))))
(fma.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 a #s(literal 4 binary64))) a (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))))
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) (*.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 a #s(literal 4 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (*.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 a #s(literal 4 binary64))))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (*.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 a #s(literal 4 binary64))))))
(fma.f64 (*.f64 b (*.f64 b b)) b (fma.f64 b (*.f64 b #s(literal 4 binary64)) (*.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 a #s(literal 4 binary64))))))
(fma.f64 (*.f64 a b) (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (fma.f64 a (*.f64 a #s(literal 4 binary64)) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))))
(fma.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) b (*.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 a #s(literal 4 binary64)))))
(fma.f64 (*.f64 a (*.f64 b b)) (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) (fma.f64 a (*.f64 a #s(literal 4 binary64)) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))))
(fma.f64 (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 b b) (fma.f64 a (*.f64 a #s(literal 4 binary64)) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))) (-.f64 (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))) (*.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 a #s(literal 4 binary64))))) (*.f64 a (*.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 a #s(literal 4 binary64))) (*.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 a #s(literal 4 binary64))))))) (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 a #s(literal 4 binary64))) (*.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 a #s(literal 4 binary64))) (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 a #s(literal 4 binary64))))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (fma.f64 b b #s(literal 4 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 a #s(literal 4 binary64))) (neg.f64 (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))))) (*.f64 (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 a #s(literal 4 binary64))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 a #s(literal 4 binary64))) (neg.f64 (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))) (-.f64 (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))) (*.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 a #s(literal 4 binary64))))) (*.f64 a (*.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 a #s(literal 4 binary64))) (*.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 a #s(literal 4 binary64))))))) (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 a #s(literal 4 binary64))) (*.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 a #s(literal 4 binary64))) (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 a #s(literal 4 binary64))))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (fma.f64 b b #s(literal 4 binary64)))))))))
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(/.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 a #s(literal 4 binary64))) (*.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 a #s(literal 4 binary64))) (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 a #s(literal 4 binary64))))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (fma.f64 b b #s(literal 4 binary64)))))) (fma.f64 (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))) (-.f64 (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))) (*.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 a #s(literal 4 binary64))))) (*.f64 a (*.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 a #s(literal 4 binary64))) (*.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 a #s(literal 4 binary64))))))))
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(/.f64 (*.f64 (fma.f64 a (fma.f64 a a a) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))) (-.f64 (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) (*.f64 a (fma.f64 a a a)))) (-.f64 (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) (*.f64 a (fma.f64 a a a))))
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(/.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (fma.f64 a a a) (*.f64 (fma.f64 a a a) (fma.f64 a a a))) (*.f64 (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))))) (neg.f64 (fma.f64 a (*.f64 (fma.f64 a a a) (*.f64 a (fma.f64 a a a))) (-.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) (*.f64 a (fma.f64 a a a)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 a (fma.f64 a a a) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))) (-.f64 (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) (*.f64 a (fma.f64 a a a))))) (neg.f64 (-.f64 (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) (*.f64 a (fma.f64 a a a)))))
(/.f64 (-.f64 (*.f64 (*.f64 a (fma.f64 a a a)) (*.f64 a (fma.f64 a a a))) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))) (-.f64 (*.f64 a (fma.f64 a a a)) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (fma.f64 a a a) (*.f64 (fma.f64 a a a) (fma.f64 a a a))) (*.f64 (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 a (fma.f64 a a a)) (-.f64 (*.f64 a (fma.f64 a a a)) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 a (fma.f64 a a a) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))) (-.f64 (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) (*.f64 a (fma.f64 a a a)))))) (neg.f64 (neg.f64 (-.f64 (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) (*.f64 a (fma.f64 a a a))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 a (fma.f64 a a a)) (*.f64 a (fma.f64 a a a))) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))))) (neg.f64 (-.f64 (*.f64 a (fma.f64 a a a)) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))))))
(pow.f64 (/.f64 (fma.f64 (*.f64 a (fma.f64 a a a)) (-.f64 (*.f64 a (fma.f64 a a a)) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))) (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (fma.f64 a a a) (*.f64 (fma.f64 a a a) (fma.f64 a a a))) (*.f64 (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) (*.f64 a (fma.f64 a a a))) (*.f64 (fma.f64 a (fma.f64 a a a) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))) (-.f64 (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) (*.f64 a (fma.f64 a a a))))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (fma.f64 a a a) (*.f64 (fma.f64 a a a) (fma.f64 a a a))) (*.f64 (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a (fma.f64 a a a)) (-.f64 (*.f64 a (fma.f64 a a a)) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))))))
(*.f64 (*.f64 (fma.f64 a (fma.f64 a a a) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))) (-.f64 (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) (*.f64 a (fma.f64 a a a)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) (*.f64 a (fma.f64 a a a)))))

simplify405.0ms (3%)

Memory
7.6MiB live, 554.9MiB allocated
Algorithm
egg-herbie
Rules
13 086×accelerator-lowering-fma.f32
13 086×accelerator-lowering-fma.f64
5 630×*-lowering-*.f32
5 630×*-lowering-*.f64
3 784×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05034976
115874750
250164496
082154103
Stop Event
iter limit
node limit
Counts
360 → 360
Calls
Call 1
Inputs
(* (pow b 2) (+ 4 (pow b 2)))
(+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2))))
(+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 4 (pow b 2))))
(+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 4 (pow b 2))))
(* (pow a 2) (+ 4 (* 2 (pow b 2))))
(* (pow a 2) (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))))
(* (pow a 2) (+ 4 (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))))))
(* (pow a 2) (+ 4 (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))))))
(* -1 (* (pow a 2) (- (* -2 (pow b 2)) 4)))
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* -1 (- (* -2 (pow b 2)) 4))))
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (* 12 (pow b 2))) a))))
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (* 12 (pow b 2))) a))))
(* 4 (pow a 2))
(+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12)))))
(+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2)))))
(+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2)))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(- (+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(- (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(- (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(* (pow a 2) (+ 4 (* 2 (pow b 2))))
(* (pow a 2) (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))))
(* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))))) (/ 1 (pow a 2))))
(* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))))) (/ 1 (pow a 2))))
(* -1 (* (pow a 2) (- (* -2 (pow b 2)) 4)))
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* -1 (- (* -2 (pow b 2)) 4))))
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* -1 (/ (- (* (pow b 2) (+ 4 (pow b 2))) 1) a)) (* 12 (pow b 2))) a))))
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* -1 (/ (- (* (pow b 2) (+ 4 (pow b 2))) 1) a)) (* 12 (pow b 2))) a))))
(- (* 4 (pow a 2)) 1)
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1)
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))))) 1)
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) (/ 1 (pow b 4))))
(* 4 a)
(+ (* 4 a) (* (pow b 2) (- (* 2 a) 12)))
(+ (* 4 a) (* (pow b 2) (- (* 2 a) 12)))
(+ (* 4 a) (* (pow b 2) (- (* 2 a) 12)))
(* (pow b 2) (- (* 2 a) 12))
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))
(* (pow b 2) (- (* 2 a) 12))
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))
(* -12 (pow b 2))
(+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))
(+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))
(+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))
(* a (+ 4 (* 2 (pow b 2))))
(* a (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))))
(* a (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))))
(* a (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))))
(* -1 (* a (- (* -2 (pow b 2)) 4)))
(* -1 (* a (- (+ (* -2 (pow b 2)) (* 12 (/ (pow b 2) a))) 4)))
(* -1 (* a (- (+ (* -2 (pow b 2)) (* 12 (/ (pow b 2) a))) 4)))
(* -1 (* a (- (+ (* -2 (pow b 2)) (* 12 (/ (pow b 2) a))) 4)))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
-1
(- (pow a 4) 1)
(- (pow a 4) 1)
(- (pow a 4) 1)
(pow a 4)
(* (pow a 4) (- 1 (/ 1 (pow a 4))))
(* (pow a 4) (- 1 (/ 1 (pow a 4))))
(* (pow a 4) (- 1 (/ 1 (pow a 4))))
(pow a 4)
(* (pow a 4) (- 1 (/ 1 (pow a 4))))
(* (pow a 4) (- 1 (/ 1 (pow a 4))))
(* (pow a 4) (- 1 (/ 1 (pow a 4))))
4
(+ 4 (* -12 a))
(+ 4 (* a (- (* 2 a) 12)))
(+ 4 (* a (- (* 2 a) 12)))
(* 2 (pow a 2))
(* (pow a 2) (- 2 (* 12 (/ 1 a))))
(* (pow a 2) (- (+ 2 (/ 4 (pow a 2))) (* 12 (/ 1 a))))
(* (pow a 2) (- (+ 2 (/ 4 (pow a 2))) (* 12 (/ 1 a))))
(* 2 (pow a 2))
(* (pow a 2) (- 2 (* 12 (/ 1 a))))
(* (pow a 2) (+ 2 (* -1 (/ (- 12 (* 4 (/ 1 a))) a))))
(* (pow a 2) (+ 2 (* -1 (/ (- 12 (* 4 (/ 1 a))) a))))
4
(+ 4 (* 4 a))
(+ 4 (* a (+ 4 a)))
(+ 4 (* a (+ 4 a)))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(- (* 4 (pow b 2)) 1)
(- (+ (* -12 (* a (pow b 2))) (* 4 (pow b 2))) 1)
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))))) 1)
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a))))))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(- (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) 1)
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1)
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 3)
(+ (* a (pow b 2)) (pow b 3))
(+ (* a (+ (* a b) (pow b 2))) (pow b 3))
(+ (* a (+ (* a (+ a b)) (pow b 2))) (pow b 3))
(pow a 3)
(* (pow a 3) (+ 1 (/ b a)))
(* (pow a 3) (+ 1 (+ (/ b a) (/ (pow b 2) (pow a 2)))))
(* (pow a 3) (+ 1 (+ (/ b a) (+ (/ (pow b 2) (pow a 2)) (/ (pow b 3) (pow a 3))))))
(pow a 3)
(* -1 (* (pow a 3) (- (* -1 (/ b a)) 1)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ b (/ (pow b 2) a)) a)) 1)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ b (* -1 (/ (+ (* -1 (/ (pow b 3) a)) (* -1 (pow b 2))) a))) a)) 1)))
(pow a 3)
(+ (* (pow a 2) b) (pow a 3))
(+ (* b (+ (* a b) (pow a 2))) (pow a 3))
(+ (* b (+ (* b (+ a b)) (pow a 2))) (pow a 3))
(pow b 3)
(* (pow b 3) (+ 1 (/ a b)))
(* (pow b 3) (+ 1 (+ (/ a b) (/ (pow a 2) (pow b 2)))))
(* (pow b 3) (+ 1 (+ (/ a b) (+ (/ (pow a 2) (pow b 2)) (/ (pow a 3) (pow b 3))))))
(pow b 3)
(* -1 (* (pow b 3) (- (* -1 (/ a b)) 1)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ a (/ (pow a 2) b)) b)) 1)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* -1 (pow a 2))) b))) b)) 1)))
b
(+ b (* -1 a))
(+ b (* a (- (* 2 (/ a b)) 1)))
(+ b (* a (- (* a (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 b)))) 1)))
a
(* a (+ 1 (* -1 (/ b a))))
(* a (- (+ 1 (/ (pow b 2) (pow a 2))) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))))
(* a (- (+ 1 (+ (* -1 (/ (* b (- (pow b 2) (* -1 (pow b 2)))) (pow a 3))) (/ (pow b 2) (pow a 2)))) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))))
a
(* -1 (* a (- (/ b a) 1)))
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* -1 (pow b 2)) (pow b 2)) a)) b) a)) 1)))
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* b (- (* -1 (pow b 2)) (pow b 2))) a)) (* -1 (pow b 2))) (pow b 2)) a)) b) a)) 1)))
a
(+ a (* -1 b))
(+ a (* b (- (* 2 (/ b a)) 1)))
(+ a (* b (- (* b (+ (* -2 (/ b (pow a 2))) (* 2 (/ 1 a)))) 1)))
b
(* b (+ 1 (* -1 (/ a b))))
(* b (- (+ 1 (/ (pow a 2) (pow b 2))) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b))))
(* b (- (+ 1 (+ (* -1 (/ (* a (- (pow a 2) (* -1 (pow a 2)))) (pow b 3))) (/ (pow a 2) (pow b 2)))) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b))))
b
(* -1 (* b (- (/ a b) 1)))
(* -1 (* b (- (* -1 (/ (- (* -1 (/ (- (* -1 (pow a 2)) (pow a 2)) b)) a) b)) 1)))
(* -1 (* b (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* a (- (* -1 (pow a 2)) (pow a 2))) b)) (* -1 (pow a 2))) (pow a 2)) b)) a) b)) 1)))
(pow b 2)
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(pow a 2)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(pow a 2)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(pow a 2)
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(pow b 2)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* 4 (pow b 2))
(* (pow b 2) (+ 4 (pow b 2)))
(* (pow b 2) (+ 4 (pow b 2)))
(* (pow b 2) (+ 4 (pow b 2)))
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* 4 a)
(* 4 a)
(* 4 a)
(* 4 a)
(* 4 a)
(* 4 a)
(* 4 a)
(* 4 a)
(* 4 a)
(* 4 a)
(* 4 a)
(* 4 a)
-1
(- (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) 1)
(- (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) 1)
(- (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) 1)
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (/ 1 (pow b 2))))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (/ 1 (pow b 2))))
(- (* 4 (pow b 2)) 1)
(- (+ (* -12 (* a (pow b 2))) (* 4 (pow b 2))) 1)
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* 2 (* a (pow b 2)))))) 1)
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* 2 (* a (pow b 2)))))) 1)
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))
(* (pow a 2) (- (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) (pow a 2))))) (/ 1 (pow a 2))))
(* (pow a 2) (- (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) (pow a 2))))) (/ 1 (pow a 2))))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (- (* 4 (pow b 2)) 1) a)) (* 12 (pow b 2))) a)) (* 2 (pow b 2))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (- (* 4 (pow b 2)) 1) a)) (* 12 (pow b 2))) a)) (* 2 (pow b 2))))
(* 2 (pow a 2))
(* 2 (pow a 2))
(* 2 (pow a 2))
(* 2 (pow a 2))
(* 2 (pow a 2))
(* 2 (pow a 2))
(* 2 (pow a 2))
(* 2 (pow a 2))
(* 2 (pow a 2))
(* 2 (pow a 2))
(* 2 (pow a 2))
(* 2 (pow a 2))
(* a (+ a (pow a 2)))
(+ (* a (+ a (pow a 2))) (* (pow b 2) (+ 1 (* -3 a))))
(+ (* a (+ a (pow a 2))) (* (pow b 2) (+ 1 (* -3 a))))
(+ (* a (+ a (pow a 2))) (* (pow b 2) (+ 1 (* -3 a))))
(* (pow b 2) (+ 1 (* -3 a)))
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 a)))
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))
(pow b 2)
(+ (* -3 (* a (pow b 2))) (pow b 2))
(+ (* a (+ a (* -3 (pow b 2)))) (pow b 2))
(+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2))
(pow a 3)
(* (pow a 3) (+ 1 (/ 1 a)))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a))))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3))))))
(pow a 3)
(* (pow a 3) (+ 1 (/ 1 a)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1)))
Outputs
(* (pow b 2) (+ 4 (pow b 2)))
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))
(+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2))))
(*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))
(+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 4 (pow b 2))))
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (*.f64 (fma.f64 b (+.f64 b b) #s(literal 4 binary64)) (*.f64 a a)))
(+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 4 (pow b 2))))
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (*.f64 (fma.f64 b (+.f64 b b) #s(literal 4 binary64)) (*.f64 a a)))
(* (pow a 2) (+ 4 (* 2 (pow b 2))))
(*.f64 (fma.f64 b (+.f64 b b) #s(literal 4 binary64)) (*.f64 a a))
(* (pow a 2) (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))))
(*.f64 a (*.f64 a (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64))))
(* (pow a 2) (+ 4 (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))))))
(*.f64 (*.f64 a a) (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal -12 binary64) a) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a)))) #s(literal 4 binary64)))
(* (pow a 2) (+ 4 (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))))))
(*.f64 (*.f64 a a) (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal -12 binary64) a) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a)))) #s(literal 4 binary64)))
(* -1 (* (pow a 2) (- (* -2 (pow b 2)) 4)))
(*.f64 (fma.f64 b (+.f64 b b) #s(literal 4 binary64)) (*.f64 a a))
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* -1 (- (* -2 (pow b 2)) 4))))
(*.f64 a (*.f64 a (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64))))
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (* 12 (pow b 2))) a))))
(*.f64 (*.f64 a a) (-.f64 (fma.f64 b (+.f64 b b) #s(literal 4 binary64)) (/.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 12 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) a))) a)))
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (* 12 (pow b 2))) a))))
(*.f64 (*.f64 a a) (-.f64 (fma.f64 b (+.f64 b b) #s(literal 4 binary64)) (/.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 12 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) a))) a)))
(* 4 (pow a 2))
(*.f64 #s(literal 4 binary64) (*.f64 a a))
(+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12)))))
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 a a)))
(+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2)))))
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 a a)))
(+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2)))))
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 a a)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))))
(* (pow b 4) (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 #s(literal 4 binary64) (fma.f64 a (/.f64 a (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))))
(* (pow b 4) (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 #s(literal 4 binary64) (fma.f64 a (/.f64 a (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))))
(* (pow b 4) (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 #s(literal 4 binary64) (fma.f64 a (/.f64 a (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))))
(* (pow b 4) (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 #s(literal 4 binary64) (fma.f64 a (/.f64 a (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(- (+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
(- (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) b) b (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))
(- (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) b) b (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))
(* (pow a 2) (+ 4 (* 2 (pow b 2))))
(*.f64 (fma.f64 b (+.f64 b b) #s(literal 4 binary64)) (*.f64 a a))
(* (pow a 2) (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))))
(*.f64 a (*.f64 a (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64))))
(* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))))) (/ 1 (pow a 2))))
(*.f64 (*.f64 a a) (+.f64 #s(literal 4 binary64) (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal -12 binary64) a) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a)))) (/.f64 #s(literal -1 binary64) (*.f64 a a)))))
(* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))))) (/ 1 (pow a 2))))
(*.f64 (*.f64 a a) (+.f64 #s(literal 4 binary64) (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal -12 binary64) a) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a)))) (/.f64 #s(literal -1 binary64) (*.f64 a a)))))
(* -1 (* (pow a 2) (- (* -2 (pow b 2)) 4)))
(*.f64 (fma.f64 b (+.f64 b b) #s(literal 4 binary64)) (*.f64 a a))
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* -1 (- (* -2 (pow b 2)) 4))))
(*.f64 a (*.f64 a (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64))))
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* -1 (/ (- (* (pow b 2) (+ 4 (pow b 2))) 1) a)) (* 12 (pow b 2))) a))))
(*.f64 (*.f64 a a) (-.f64 (fma.f64 b (+.f64 b b) #s(literal 4 binary64)) (/.f64 (-.f64 (*.f64 b (*.f64 b #s(literal 12 binary64))) (/.f64 (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) a)) a)))
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* -1 (/ (- (* (pow b 2) (+ 4 (pow b 2))) 1) a)) (* 12 (pow b 2))) a))))
(*.f64 (*.f64 a a) (-.f64 (fma.f64 b (+.f64 b b) #s(literal 4 binary64)) (/.f64 (-.f64 (*.f64 b (*.f64 b #s(literal 12 binary64))) (/.f64 (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) a)) a)))
(- (* 4 (pow a 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1)
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)))
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))))) 1)
(fma.f64 (*.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)))
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))))) 1)
(fma.f64 (*.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 a (/.f64 a (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 a (/.f64 a (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
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(pow a 4)
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(pow a 4)
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(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
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(- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1)
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(pow b 4)
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(pow b 4)
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(pow a 3)
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(* (pow a 3) (+ 1 (+ (/ b a) (/ (pow b 2) (pow a 2)))))
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(pow a 3)
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(pow b 3)
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a
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a
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b
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(pow a 2)
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(pow a 2)
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(pow a 2)
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(pow b 4)
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(* 4 a)
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(* 4 a)
(*.f64 #s(literal 4 binary64) a)
(* 4 a)
(*.f64 #s(literal 4 binary64) a)
(* 4 a)
(*.f64 #s(literal 4 binary64) a)
(* 4 a)
(*.f64 #s(literal 4 binary64) a)
(* 4 a)
(*.f64 #s(literal 4 binary64) a)
(* 4 a)
(*.f64 #s(literal 4 binary64) a)
(* 4 a)
(*.f64 #s(literal 4 binary64) a)
(* 4 a)
(*.f64 #s(literal 4 binary64) a)
(* 4 a)
(*.f64 #s(literal 4 binary64) a)
-1
#s(literal -1 binary64)
(- (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) 1)
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))
(- (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) 1)
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))
(- (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) 1)
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64)))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (/ 1 (pow b 2))))
(*.f64 (*.f64 b b) (+.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 b b))))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (/ 1 (pow b 2))))
(*.f64 (*.f64 b b) (+.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 b b))))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (/ 1 (pow b 2))))
(*.f64 (*.f64 b b) (+.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 b b))))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64)))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (/ 1 (pow b 2))))
(*.f64 (*.f64 b b) (+.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 b b))))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (/ 1 (pow b 2))))
(*.f64 (*.f64 b b) (+.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 b b))))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (/ 1 (pow b 2))))
(*.f64 (*.f64 b b) (+.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 b b))))
(- (* 4 (pow b 2)) 1)
(fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))
(- (+ (* -12 (* a (pow b 2))) (* 4 (pow b 2))) 1)
(fma.f64 b (*.f64 b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* 2 (* a (pow b 2)))))) 1)
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* 2 (* a (pow b 2)))))) 1)
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))
(* 2 (* (pow a 2) (pow b 2)))
(*.f64 (*.f64 b b) (*.f64 a (+.f64 a a)))
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))
(*.f64 (*.f64 a a) (*.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a))))
(* (pow a 2) (- (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) (pow a 2))))) (/ 1 (pow a 2))))
(*.f64 (*.f64 a a) (+.f64 (fma.f64 b (+.f64 b b) (*.f64 (/.f64 (*.f64 b b) a) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -12 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 a a))))
(* (pow a 2) (- (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) (pow a 2))))) (/ 1 (pow a 2))))
(*.f64 (*.f64 a a) (+.f64 (fma.f64 b (+.f64 b b) (*.f64 (/.f64 (*.f64 b b) a) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -12 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 a a))))
(* 2 (* (pow a 2) (pow b 2)))
(*.f64 (*.f64 b b) (*.f64 a (+.f64 a a)))
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))
(*.f64 (*.f64 a a) (*.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (- (* 4 (pow b 2)) 1) a)) (* 12 (pow b 2))) a)) (* 2 (pow b 2))))
(*.f64 (*.f64 a a) (-.f64 (*.f64 b (+.f64 b b)) (/.f64 (-.f64 (*.f64 b (*.f64 b #s(literal 12 binary64))) (/.f64 (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) a)) a)))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (- (* 4 (pow b 2)) 1) a)) (* 12 (pow b 2))) a)) (* 2 (pow b 2))))
(*.f64 (*.f64 a a) (-.f64 (*.f64 b (+.f64 b b)) (/.f64 (-.f64 (*.f64 b (*.f64 b #s(literal 12 binary64))) (/.f64 (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) a)) a)))
(* 2 (pow a 2))
(*.f64 a (+.f64 a a))
(* 2 (pow a 2))
(*.f64 a (+.f64 a a))
(* 2 (pow a 2))
(*.f64 a (+.f64 a a))
(* 2 (pow a 2))
(*.f64 a (+.f64 a a))
(* 2 (pow a 2))
(*.f64 a (+.f64 a a))
(* 2 (pow a 2))
(*.f64 a (+.f64 a a))
(* 2 (pow a 2))
(*.f64 a (+.f64 a a))
(* 2 (pow a 2))
(*.f64 a (+.f64 a a))
(* 2 (pow a 2))
(*.f64 a (+.f64 a a))
(* 2 (pow a 2))
(*.f64 a (+.f64 a a))
(* 2 (pow a 2))
(*.f64 a (+.f64 a a))
(* 2 (pow a 2))
(*.f64 a (+.f64 a a))
(* a (+ a (pow a 2)))
(*.f64 a (fma.f64 a a a))
(+ (* a (+ a (pow a 2))) (* (pow b 2) (+ 1 (* -3 a))))
(fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) b) b))
(+ (* a (+ a (pow a 2))) (* (pow b 2) (+ 1 (* -3 a))))
(fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) b) b))
(+ (* a (+ a (pow a 2))) (* (pow b 2) (+ 1 (* -3 a))))
(fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) b) b))
(* (pow b 2) (+ 1 (* -3 a)))
(*.f64 (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) b) b)
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 a (+.f64 #s(literal -3 binary64) (/.f64 (fma.f64 a a a) (*.f64 b b))) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 a (+.f64 #s(literal -3 binary64) (/.f64 (fma.f64 a a a) (*.f64 b b))) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 a (+.f64 #s(literal -3 binary64) (/.f64 (fma.f64 a a a) (*.f64 b b))) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -3 a)))
(*.f64 (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) b) b)
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 a (+.f64 #s(literal -3 binary64) (/.f64 (fma.f64 a a a) (*.f64 b b))) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 a (+.f64 #s(literal -3 binary64) (/.f64 (fma.f64 a a a) (*.f64 b b))) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 a (+.f64 #s(literal -3 binary64) (/.f64 (fma.f64 a a a) (*.f64 b b))) #s(literal 1 binary64)))
(pow b 2)
(*.f64 b b)
(+ (* -3 (* a (pow b 2))) (pow b 2))
(*.f64 (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) b) b)
(+ (* a (+ a (* -3 (pow b 2)))) (pow b 2))
(fma.f64 a a (*.f64 (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) b) b))
(+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2))
(fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) b) b))
(pow a 3)
(*.f64 a (*.f64 a a))
(* (pow a 3) (+ 1 (/ 1 a)))
(*.f64 a (fma.f64 a a a))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a))))
(fma.f64 (*.f64 a (*.f64 a a)) (fma.f64 (*.f64 b b) (/.f64 #s(literal -3 binary64) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a a))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3))))))
(*.f64 (*.f64 a a) (fma.f64 a (fma.f64 (*.f64 b b) (/.f64 #s(literal -3 binary64) (*.f64 a a)) (fma.f64 b (/.f64 b (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) a))) a))
(pow a 3)
(*.f64 a (*.f64 a a))
(* (pow a 3) (+ 1 (/ 1 a)))
(*.f64 a (fma.f64 a a a))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -3 binary64) #s(literal 1 binary64)) a)) (neg.f64 (*.f64 a (*.f64 a a))))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal -1 binary64) a) #s(literal 3 binary64))) a)) a)) (neg.f64 (*.f64 a (*.f64 a a))))

eval202.0ms (1.5%)

Memory
-20.5MiB live, 262.5MiB allocated
Compiler

Compiled 53 566 to 2 643 computations (95.1% saved)

prune130.0ms (1%)

Memory
-7.9MiB live, 271.0MiB allocated
Pruning

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New1 209191 228
Fresh628
Picked415
Done000
Total1 219221 241
Accuracy
100.0%
Counts
1 241 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.2%
(fma.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (+.f64 a b)) (/.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (-.f64 a b)) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))
39.5%
(fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 (*.f64 b b) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (fma.f64 a (*.f64 (fma.f64 a a a) #s(literal 4 binary64)) #s(literal -1 binary64))))
71.8%
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
83.2%
(fma.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) a (fma.f64 b (*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))) #s(literal -1 binary64)))
63.8%
(fma.f64 (*.f64 a (*.f64 a a)) a #s(literal -1 binary64))
65.4%
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
77.4%
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))
74.0%
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) #s(literal -1 binary64)))
69.7%
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (*.f64 a (+.f64 a a)) #s(literal -1 binary64)))
47.4%
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 (*.f64 b b) (*.f64 a (+.f64 a a))))
83.2%
(fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))
49.7%
(fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))
52.1%
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
42.5%
(pow.f64 a #s(literal 4 binary64))
90.8%
(-.f64 (fma.f64 a (*.f64 a (fma.f64 b (+.f64 b b) #s(literal 4 binary64))) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))) #s(literal 1 binary64))
57.8%
(-.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal -12 binary64) a) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a)))) #s(literal 4 binary64))) #s(literal 1 binary64))
71.5%
(-.f64 (*.f64 (*.f64 a a) (-.f64 (fma.f64 b (+.f64 b b) #s(literal 4 binary64)) (/.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 12 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) a))) a))) #s(literal 1 binary64))
94.1%
(+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64))))))
42.5%
(*.f64 (*.f64 a a) (*.f64 a a))
50.3%
(*.f64 b (*.f64 b (*.f64 b b)))
42.5%
(*.f64 a (*.f64 a (*.f64 a a)))
22.8%
#s(literal -1 binary64)
Compiler

Compiled 831 to 449 computations (46% saved)

simplify445.0ms (3.3%)

Memory
12.4MiB live, 489.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))
cost-diff0
(*.f64 a a)
cost-diff0
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64)))))
cost-diff128
(+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64))))))
cost-diff0
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
cost-diff0
(*.f64 a a)
cost-diff192
(fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))
cost-diff640
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 (*.f64 b b) (*.f64 a (+.f64 a a))))
cost-diff0
(*.f64 a a)
cost-diff0
(*.f64 a (*.f64 a a))
cost-diff0
(fma.f64 (*.f64 a (*.f64 a a)) a #s(literal -1 binary64))
cost-diff0
(fma.f64 a a (*.f64 b b))
cost-diff0
(/.f64 (fma.f64 a a (*.f64 b b)) (+.f64 a b))
cost-diff1408
(/.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (-.f64 a b))
cost-diff1408
(fma.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (+.f64 a b)) (/.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (-.f64 a b)) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))
Rules
16 342×accelerator-lowering-fma.f32
16 342×accelerator-lowering-fma.f64
4 394×*-lowering-*.f32
4 394×*-lowering-*.f64
3 972×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042321
1133313
2423299
31654293
46383285
08223252
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (* (/ (+ (* a a) (* b b)) (+ a b)) (/ (* (+ (* a a) (* b b)) (* (+ a b) (- a b))) (- a b))) (+ (* 4 (* b b)) -1))
(/ (+ (* a a) (* b b)) (+ a b))
(+ (* a a) (* b b))
a
(* b b)
b
(+ a b)
(/ (* (+ (* a a) (* b b)) (* (+ a b) (- a b))) (- a b))
(* (+ (* a a) (* b b)) (* (+ a b) (- a b)))
(* (+ a b) (- a b))
(- a b)
(+ (* 4 (* b b)) -1)
4
-1
-1
(+ (* (* a (* a a)) a) -1)
(* a (* a a))
a
(* a a)
-1
(+ (* (* a a) (+ (* a a) (+ (* 4 a) 4))) (* (* b b) (* a (+ a a))))
(* a a)
a
(+ (* a a) (+ (* 4 a) 4))
(+ (* 4 a) 4)
4
(* (* b b) (* a (+ a a)))
(* b b)
b
(* a (+ a a))
(+ a a)
(+ -1 (+ (* (* a a) (+ (* a (+ 4 a)) 4)) (* (* b b) (+ (* a (+ (* 2 a) -12)) (+ (* b b) 4)))))
-1
(+ (* (* a a) (+ (* a (+ 4 a)) 4)) (* (* b b) (+ (* a (+ (* 2 a) -12)) (+ (* b b) 4))))
(* a a)
a
(+ (* a (+ 4 a)) 4)
(+ 4 a)
4
(* (* b b) (+ (* a (+ (* 2 a) -12)) (+ (* b b) 4)))
(* b b)
b
(+ (* a (+ (* 2 a) -12)) (+ (* b b) 4))
(+ (* 2 a) -12)
2
-12
(+ (* b b) 4)
Outputs
(+ (* (/ (+ (* a a) (* b b)) (+ a b)) (/ (* (+ (* a a) (* b b)) (* (+ a b) (- a b))) (- a b))) (+ (* 4 (* b b)) -1))
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
(/ (+ (* a a) (* b b)) (+ a b))
(/.f64 (fma.f64 a a (*.f64 b b)) (+.f64 a b))
(+ (* a a) (* b b))
(fma.f64 a a (*.f64 b b))
a
(* b b)
(*.f64 b b)
b
(+ a b)
(+.f64 a b)
(/ (* (+ (* a a) (* b b)) (* (+ a b) (- a b))) (- a b))
(*.f64 (fma.f64 a a (*.f64 b b)) (+.f64 a b))
(* (+ (* a a) (* b b)) (* (+ a b) (- a b)))
(*.f64 (+.f64 a b) (*.f64 (fma.f64 a a (*.f64 b b)) (-.f64 a b)))
(* (+ a b) (- a b))
(*.f64 (+.f64 a b) (-.f64 a b))
(- a b)
(-.f64 a b)
(+ (* 4 (* b b)) -1)
(fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))
4
#s(literal 4 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
(+ (* (* a (* a a)) a) -1)
(fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -1 binary64))
(* a (* a a))
(*.f64 a (*.f64 a a))
a
(* a a)
(*.f64 a a)
-1
#s(literal -1 binary64)
(+ (* (* a a) (+ (* a a) (+ (* 4 a) 4))) (* (* b b) (* a (+ a a))))
(*.f64 (*.f64 a a) (fma.f64 b (+.f64 b b) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))
(* a a)
(*.f64 a a)
a
(+ (* a a) (+ (* 4 a) 4))
(fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))
(+ (* 4 a) 4)
(fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))
4
#s(literal 4 binary64)
(* (* b b) (* a (+ a a)))
(*.f64 (+.f64 a a) (*.f64 a (*.f64 b b)))
(* b b)
(*.f64 b b)
b
(* a (+ a a))
(*.f64 a (+.f64 a a))
(+ a a)
(+.f64 a a)
(+ -1 (+ (* (* a a) (+ (* a (+ 4 a)) 4)) (* (* b b) (+ (* a (+ (* 2 a) -12)) (+ (* b b) 4)))))
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 a (+.f64 (+.f64 a a) #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(+ (* (* a a) (+ (* a (+ 4 a)) 4)) (* (* b b) (+ (* a (+ (* 2 a) -12)) (+ (* b b) 4))))
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 a (+.f64 (+.f64 a a) #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64)))))
(* a a)
(*.f64 a a)
a
(+ (* a (+ 4 a)) 4)
(fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))
(+ 4 a)
(+.f64 a #s(literal 4 binary64))
4
#s(literal 4 binary64)
(* (* b b) (+ (* a (+ (* 2 a) -12)) (+ (* b b) 4)))
(*.f64 (*.f64 b b) (fma.f64 a (+.f64 (+.f64 a a) #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64))))
(* b b)
(*.f64 b b)
b
(+ (* a (+ (* 2 a) -12)) (+ (* b b) 4))
(fma.f64 a (+.f64 (+.f64 a a) #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64)))
(+ (* 2 a) -12)
(+.f64 (+.f64 a a) #s(literal -12 binary64))
2
#s(literal 2 binary64)
-12
#s(literal -12 binary64)
(+ (* b b) 4)
(fma.f64 b b #s(literal 4 binary64))

localize157.0ms (1.1%)

Memory
26.6MiB live, 185.1MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 a a)
accuracy100.0%
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64)))
accuracy100.0%
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64)))))
accuracy87.8%
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64))))
accuracy100.0%
(*.f64 a a)
accuracy100.0%
(fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))
accuracy100.0%
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 (*.f64 b b) (*.f64 a (+.f64 a a))))
accuracy71.4%
(*.f64 (*.f64 b b) (*.f64 a (+.f64 a a)))
accuracy100.0%
(*.f64 a a)
accuracy100.0%
(fma.f64 (*.f64 a (*.f64 a a)) a #s(literal -1 binary64))
accuracy99.9%
(*.f64 a (*.f64 a a))
accuracy99.9%
(fma.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (+.f64 a b)) (/.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (-.f64 a b)) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))
accuracy99.8%
(*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))
accuracy91.8%
(/.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (-.f64 a b))
accuracy51.7%
(/.f64 (fma.f64 a a (*.f64 b b)) (+.f64 a b))
Samples
109.0ms256×0valid
Compiler

Compiled 290 to 44 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 92.0ms
ival-add: 63.0ms (68.7% of total)
ival-mult: 23.0ms (25.1% of total)
ival-div: 3.0ms (3.3% of total)
ival-sub: 1.0ms (1.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series43.0ms (0.3%)

Memory
-29.5MiB live, 9.3MiB allocated
Counts
17 → 336
Calls
Call 1
Inputs
#<alt (+ (* (/ (+ (* a a) (* b b)) (+ a b)) (/ (* (+ (* a a) (* b b)) (* (+ a b) (- a b))) (- a b))) (+ (* 4 (* b b)) -1))>
#<alt (/ (* (+ (* a a) (* b b)) (* (+ a b) (- a b))) (- a b))>
#<alt (/ (+ (* a a) (* b b)) (+ a b))>
#<alt (+ (* a a) (* b b))>
#<alt (+ (* (* a (* a a)) a) -1)>
#<alt (* a (* a a))>
#<alt (* a a)>
#<alt (+ (* (* a a) (+ (* a a) (+ (* 4 a) 4))) (* (* b b) (* a (+ a a))))>
#<alt (+ (* a a) (+ (* 4 a) 4))>
#<alt (+ (* 4 a) 4)>
#<alt (+ -1 (+ (* (* a a) (+ (* a (+ 4 a)) 4)) (* (* b b) (+ (* a (+ (* 2 a) -12)) (+ (* b b) 4)))))>
#<alt (+ (* (* a a) (+ (* a (+ 4 a)) 4)) (* (* b b) (+ (* a (+ (* 2 a) -12)) (+ (* b b) 4))))>
#<alt (+ (* a (+ 4 a)) 4)>
#<alt (* (+ (* a a) (* b b)) (* (+ a b) (- a b)))>
#<alt (* (* b b) (* a (+ a a)))>
#<alt (* (* b b) (+ (* a (+ (* 2 a) -12)) (+ (* b b) 4)))>
#<alt (+ (* a (+ (* 2 a) -12)) (+ (* b b) 4))>
Outputs
#<alt (- (+ (* 4 (pow b 2)) (pow b 4)) 1)>
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))>
#<alt (- (pow a 4) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))>
#<alt (pow b 3)>
#<alt (+ (* a (pow b 2)) (pow b 3))>
#<alt (+ (* a (+ (* a b) (pow b 2))) (pow b 3))>
#<alt (+ (* a (+ (* a (+ a b)) (pow b 2))) (pow b 3))>
#<alt (pow a 3)>
#<alt (* (pow a 3) (+ 1 (/ b a)))>
#<alt (* (pow a 3) (+ 1 (+ (/ b a) (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 3) (+ 1 (+ (/ b a) (+ (/ (pow b 2) (pow a 2)) (/ (pow b 3) (pow a 3))))))>
#<alt (pow a 3)>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ b a)) 1)))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ b (/ (pow b 2) a)) a)) 1)))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ b (* -1 (/ (+ (* -1 (/ (pow b 3) a)) (* -1 (pow b 2))) a))) a)) 1)))>
#<alt (pow a 3)>
#<alt (+ (* (pow a 2) b) (pow a 3))>
#<alt (+ (* b (+ (* a b) (pow a 2))) (pow a 3))>
#<alt (+ (* b (+ (* b (+ a b)) (pow a 2))) (pow a 3))>
#<alt (pow b 3)>
#<alt (* (pow b 3) (+ 1 (/ a b)))>
#<alt (* (pow b 3) (+ 1 (+ (/ a b) (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 3) (+ 1 (+ (/ a b) (+ (/ (pow a 2) (pow b 2)) (/ (pow a 3) (pow b 3))))))>
#<alt (pow b 3)>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ a b)) 1)))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ a (/ (pow a 2) b)) b)) 1)))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* -1 (pow a 2))) b))) b)) 1)))>
#<alt b>
#<alt (+ b (* -1 a))>
#<alt (+ b (* a (- (* 2 (/ a b)) 1)))>
#<alt (+ b (* a (- (* a (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 b)))) 1)))>
#<alt a>
#<alt (* a (+ 1 (* -1 (/ b a))))>
#<alt (* a (- (+ 1 (/ (pow b 2) (pow a 2))) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))))>
#<alt (* a (- (+ 1 (+ (* -1 (/ (* b (- (pow b 2) (* -1 (pow b 2)))) (pow a 3))) (/ (pow b 2) (pow a 2)))) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))))>
#<alt a>
#<alt (* -1 (* a (- (/ b a) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* -1 (pow b 2)) (pow b 2)) a)) b) a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* b (- (* -1 (pow b 2)) (pow b 2))) a)) (* -1 (pow b 2))) (pow b 2)) a)) b) a)) 1)))>
#<alt a>
#<alt (+ a (* -1 b))>
#<alt (+ a (* b (- (* 2 (/ b a)) 1)))>
#<alt (+ a (* b (- (* b (+ (* -2 (/ b (pow a 2))) (* 2 (/ 1 a)))) 1)))>
#<alt b>
#<alt (* b (+ 1 (* -1 (/ a b))))>
#<alt (* b (- (+ 1 (/ (pow a 2) (pow b 2))) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b))))>
#<alt (* b (- (+ 1 (+ (* -1 (/ (* a (- (pow a 2) (* -1 (pow a 2)))) (pow b 3))) (/ (pow a 2) (pow b 2)))) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b))))>
#<alt b>
#<alt (* -1 (* b (- (/ a b) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (- (* -1 (/ (- (* -1 (pow a 2)) (pow a 2)) b)) a) b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* a (- (* -1 (pow a 2)) (pow a 2))) b)) (* -1 (pow a 2))) (pow a 2)) b)) a) b)) 1)))>
#<alt (pow b 2)>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (pow a 2)>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt -1>
#<alt (- (pow a 4) 1)>
#<alt (- (pow a 4) 1)>
#<alt (- (pow a 4) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (- 1 (/ 1 (pow a 4))))>
#<alt (* (pow a 4) (- 1 (/ 1 (pow a 4))))>
#<alt (* (pow a 4) (- 1 (/ 1 (pow a 4))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (- 1 (/ 1 (pow a 4))))>
#<alt (* (pow a 4) (- 1 (/ 1 (pow a 4))))>
#<alt (* (pow a 4) (- 1 (/ 1 (pow a 4))))>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 4 (* 2 (pow b 2))))>
#<alt (* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* 4 a))))>
#<alt (* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a)))))>
#<alt (* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a)))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))>
#<alt (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2))))>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))))>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))))>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))))>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2))))>
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2))))>
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2))))>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2))))>
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2))))>
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2))))>
#<alt 4>
#<alt (+ 4 (* 4 a))>
#<alt (+ 4 (* a (+ 4 a)))>
#<alt (+ 4 (* a (+ 4 a)))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))>
#<alt 4>
#<alt (+ 4 (* 4 a))>
#<alt (+ 4 (* 4 a))>
#<alt (+ 4 (* 4 a))>
#<alt (* 4 a)>
#<alt (* a (+ 4 (* 4 (/ 1 a))))>
#<alt (* a (+ 4 (* 4 (/ 1 a))))>
#<alt (* a (+ 4 (* 4 (/ 1 a))))>
#<alt (* 4 a)>
#<alt (* a (+ 4 (* 4 (/ 1 a))))>
#<alt (* a (+ 4 (* 4 (/ 1 a))))>
#<alt (* a (+ 4 (* 4 (/ 1 a))))>
#<alt (- (* (pow b 2) (+ 4 (pow b 2))) 1)>
#<alt (- (+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)>
#<alt (- (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 4 (pow b 2)))) 1)>
#<alt (- (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (* (pow b 2) (+ 4 (pow b 2)))) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))>
#<alt (* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))>
#<alt (- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)>
#<alt (- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1)>
#<alt (- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))))) 1)>
#<alt (- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))))) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 4 (/ 1 (pow b 2))) (+ (/ (* a (- (* 2 a) 12)) (pow b 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 4))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 4 (/ 1 (pow b 2))) (+ (/ (* a (- (* 2 a) 12)) (pow b 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 4))))) (/ 1 (pow b 4))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 4 (/ 1 (pow b 2))) (+ (/ (* a (- (* 2 a) 12)) (pow b 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 4))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 4 (/ 1 (pow b 2))) (+ (/ (* a (- (* 2 a) 12)) (pow b 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 4))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 2) (+ 4 (pow b 2)))>
#<alt (+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2))))>
#<alt (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 4 (pow b 2))))>
#<alt (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (* (pow b 2) (+ 4 (pow b 2))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))>
#<alt (* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))>
#<alt (* (pow a 2) (+ 4 (* a (+ 4 a))))>
#<alt (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12)))))>
#<alt (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2)))))>
#<alt (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2)))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (+ (/ (* a (- (* 2 a) 12)) (pow b 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 4))))))>
#<alt (* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (+ (/ (* a (- (* 2 a) 12)) (pow b 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 4))))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (+ (/ (* a (- (* 2 a) 12)) (pow b 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 4))))))>
#<alt (* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (+ (/ (* a (- (* 2 a) 12)) (pow b 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 4))))))>
#<alt 4>
#<alt (+ 4 (* 4 a))>
#<alt (+ 4 (* a (+ 4 a)))>
#<alt (+ 4 (* a (+ 4 a)))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))>
#<alt (* -1 (pow b 4))>
#<alt (+ (* -1 (pow b 4)) (* a (+ (* -1 (pow b 3)) (pow b 3))))>
#<alt (+ (* -1 (pow b 4)) (* a (+ (* -1 (pow b 3)) (+ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)))))>
#<alt (+ (* -1 (pow b 4)) (* a (+ (* -1 (pow b 3)) (+ (* a (+ (* -1 (pow b 2)) (+ (* a (+ b (* -1 b))) (pow b 2)))) (pow b 3)))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (+ (* -1 (/ b a)) (/ b a))))>
#<alt (* (pow a 4) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (/ b a) (/ (pow b 2) (pow a 2)))))))>
#<alt (* (pow a 4) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (* -1 (/ (pow b 3) (pow a 3))) (+ (/ b a) (+ (/ (pow b 2) (pow a 2)) (/ (pow b 3) (pow a 3)))))))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (+ (* -1 (/ b a)) (/ b a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (+ (* -1 (/ (pow b 2) a)) (/ (pow b 2) a))) a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (* -1 (/ (+ (* -1 (+ (* -1 (pow b 2)) (pow b 2))) (+ (* -1 (/ (pow b 3) a)) (/ (pow b 3) a))) a))) a))))>
#<alt (pow a 4)>
#<alt (+ (* b (+ (* -1 (pow a 3)) (pow a 3))) (pow a 4))>
#<alt (+ (* b (+ (* -1 (pow a 3)) (+ (* b (+ (* -1 (pow a 2)) (pow a 2))) (pow a 3)))) (pow a 4))>
#<alt (+ (* b (+ (* -1 (pow a 3)) (+ (* b (+ (* -1 (pow a 2)) (+ (* b (+ a (* -1 a))) (pow a 2)))) (pow a 3)))) (pow a 4))>
#<alt (* -1 (pow b 4))>
#<alt (* (pow b 4) (- (+ (* -1 (/ a b)) (/ a b)) 1))>
#<alt (* (pow b 4) (- (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (+ (/ a b) (/ (pow a 2) (pow b 2))))) 1))>
#<alt (* (pow b 4) (- (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (+ (* -1 (/ (pow a 3) (pow b 3))) (+ (/ a b) (+ (/ (pow a 2) (pow b 2)) (/ (pow a 3) (pow b 3))))))) 1))>
#<alt (* -1 (pow b 4))>
#<alt (* (pow b 4) (- (* -1 (/ (+ a (* -1 a)) b)) 1))>
#<alt (* (pow b 4) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (+ (* -1 (pow a 2)) (pow a 2)) b)))) b)) 1))>
#<alt (* (pow b 4) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow a 3)) (pow a 3)) b)) (+ (* -1 (pow a 2)) (pow a 2))) b)))) b)) 1))>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))>
#<alt (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))))>
#<alt (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))))>
#<alt (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))>
#<alt (* (pow b 2) (+ 4 (pow b 2)))>
#<alt (+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2))))>
#<alt (+ (* a (+ (* -12 (pow b 2)) (* 2 (* a (pow b 2))))) (* (pow b 2) (+ 4 (pow b 2))))>
#<alt (+ (* a (+ (* -12 (pow b 2)) (* 2 (* a (pow b 2))))) (* (pow b 2) (+ 4 (pow b 2))))>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))>
#<alt (* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))))>
#<alt (* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))))>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (* 12 (pow b 2))) a)) (* 2 (pow b 2))))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (* 12 (pow b 2))) a)) (* 2 (pow b 2))))>
#<alt (+ 4 (pow b 2))>
#<alt (+ 4 (+ (* -12 a) (pow b 2)))>
#<alt (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2)))>
#<alt (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2)))>
#<alt (* 2 (pow a 2))>
#<alt (* (pow a 2) (- 2 (* 12 (/ 1 a))))>
#<alt (* (pow a 2) (- (+ 2 (+ (/ 4 (pow a 2)) (/ (pow b 2) (pow a 2)))) (* 12 (/ 1 a))))>
#<alt (* (pow a 2) (- (+ 2 (+ (/ 4 (pow a 2)) (/ (pow b 2) (pow a 2)))) (* 12 (/ 1 a))))>
#<alt (* 2 (pow a 2))>
#<alt (* (pow a 2) (- 2 (* 12 (/ 1 a))))>
#<alt (* (pow a 2) (+ 2 (* -1 (/ (+ 12 (* -1 (/ (+ 4 (pow b 2)) a))) a))))>
#<alt (* (pow a 2) (+ 2 (* -1 (/ (+ 12 (* -1 (/ (+ 4 (pow b 2)) a))) a))))>
#<alt (+ 4 (* a (- (* 2 a) 12)))>
#<alt (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2)))>
#<alt (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2)))>
#<alt (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2)))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))>
Calls

84 calls:

TimeVariablePointExpression
29.0ms
a
@inf
(* (* b b) (+ (* a (+ (* 2 a) -12)) (+ (* b b) 4)))
0.0ms
b
@0
(+ -1 (+ (* (* a a) (+ (* a (+ 4 a)) 4)) (* (* b b) (+ (* a (+ (* 2 a) -12)) (+ (* b b) 4)))))
0.0ms
a
@0
(* (* b b) (* a (+ a a)))
0.0ms
a
@inf
(* (* b b) (* a (+ a a)))
0.0ms
b
@inf
(+ -1 (+ (* (* a a) (+ (* a (+ 4 a)) 4)) (* (* b b) (+ (* a (+ (* 2 a) -12)) (+ (* b b) 4)))))

rewrite360.0ms (2.6%)

Memory
21.3MiB live, 316.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
3 496×accelerator-lowering-fma.f32
3 496×accelerator-lowering-fma.f64
3 384×*-lowering-*.f32
3 384×*-lowering-*.f64
3 342×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042249
1323205
23710173
08933151
Stop Event
iter limit
node limit
Counts
17 → 660
Calls
Call 1
Inputs
(+ (* (/ (+ (* a a) (* b b)) (+ a b)) (/ (* (+ (* a a) (* b b)) (* (+ a b) (- a b))) (- a b))) (+ (* 4 (* b b)) -1))
(/ (* (+ (* a a) (* b b)) (* (+ a b) (- a b))) (- a b))
(/ (+ (* a a) (* b b)) (+ a b))
(+ (* a a) (* b b))
(+ (* (* a (* a a)) a) -1)
(* a (* a a))
(* a a)
(+ (* (* a a) (+ (* a a) (+ (* 4 a) 4))) (* (* b b) (* a (+ a a))))
(+ (* a a) (+ (* 4 a) 4))
(+ (* 4 a) 4)
(+ -1 (+ (* (* a a) (+ (* a (+ 4 a)) 4)) (* (* b b) (+ (* a (+ (* 2 a) -12)) (+ (* b b) 4)))))
(+ (* (* a a) (+ (* a (+ 4 a)) 4)) (* (* b b) (+ (* a (+ (* 2 a) -12)) (+ (* b b) 4))))
(+ (* a (+ 4 a)) 4)
(* (+ (* a a) (* b b)) (* (+ a b) (- a b)))
(* (* b b) (* a (+ a a)))
(* (* b b) (+ (* a (+ (* 2 a) -12)) (+ (* b b) 4)))
(+ (* a (+ (* 2 a) -12)) (+ (* b b) 4))
Outputs
(+.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))))
(+.f64 #s(literal -1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))))
(+.f64 (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))))
(+.f64 (fma.f64 b (*.f64 b #s(literal 4 binary64)) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))) #s(literal -1 binary64))
(+.f64 (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))) (-.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))) (-.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))))
(fma.f64 b (*.f64 b #s(literal 4 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))))
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (*.f64 (fma.f64 a a (*.f64 b b)) (+.f64 a b))) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (/.f64 (fma.f64 a a (*.f64 b b)) (+.f64 a b))) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (fma.f64 a a (*.f64 b b)) (/.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (+.f64 a b)) (+.f64 a b)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (+.f64 a b)) (*.f64 (fma.f64 a a (*.f64 b b)) (+.f64 a b)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) (/.f64 (fma.f64 a a (*.f64 b b)) (+.f64 a b))) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (+.f64 a b)) (/.f64 (fma.f64 a a (*.f64 b b)) (+.f64 a b)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 b b) (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))))
(fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 #s(literal 64 binary64) (*.f64 b (*.f64 b b))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 16 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 b b) #s(literal -4 binary64)))) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))))
(fma.f64 (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 16 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal 1 binary64))) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))))
(fma.f64 (*.f64 b #s(literal 4 binary64)) b (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))))
(fma.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (-.f64 a b)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (+.f64 a b))) (/.f64 #s(literal 1 binary64) (+.f64 a b)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (-.f64 a b)) (/.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (+.f64 a b)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (+.f64 a b)) (fma.f64 a a (*.f64 b b))) (+.f64 a b) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) (-.f64 a b)) (*.f64 (fma.f64 b (+.f64 a b) (*.f64 a a)) (-.f64 a b))) (fma.f64 b (+.f64 a b) (*.f64 a a)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) (-.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b))) (+.f64 a b) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (+.f64 a b))) (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b)))) (fma.f64 b (-.f64 b a) (*.f64 a a)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (+.f64 a b))) (*.f64 (+.f64 a b) (-.f64 a b))) (-.f64 a b) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) (-.f64 (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))) (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))))) (fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))) (*.f64 (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))) (-.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))))))
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(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 144 binary64)) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (fma.f64 b b #s(literal 4 binary64))))) (neg.f64 (-.f64 (*.f64 a #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64)))))
(/.f64 (fma.f64 (fma.f64 a #s(literal -12 binary64) (*.f64 b b)) (*.f64 (fma.f64 a #s(literal -12 binary64) (*.f64 b b)) (fma.f64 a #s(literal -12 binary64) (*.f64 b b))) #s(literal 64 binary64)) (fma.f64 (fma.f64 a #s(literal -12 binary64) (*.f64 b b)) (fma.f64 a #s(literal -12 binary64) (*.f64 b b)) (-.f64 #s(literal 16 binary64) (*.f64 (fma.f64 a #s(literal -12 binary64) (*.f64 b b)) #s(literal 4 binary64)))))
(/.f64 (-.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) (fma.f64 b b #s(literal 4 binary64))) (*.f64 (*.f64 a a) #s(literal 144 binary64))) (-.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a #s(literal -12 binary64))))
(/.f64 (-.f64 (*.f64 (fma.f64 a #s(literal -12 binary64) (*.f64 b b)) (fma.f64 a #s(literal -12 binary64) (*.f64 b b))) #s(literal 16 binary64)) (-.f64 (fma.f64 a #s(literal -12 binary64) (*.f64 b b)) #s(literal 4 binary64)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal -1728 binary64) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (fma.f64 b b #s(literal 4 binary64))))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (-.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a #s(literal -12 binary64))) (*.f64 (*.f64 a a) #s(literal 144 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 144 binary64)) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (fma.f64 b b #s(literal 4 binary64)))))) (neg.f64 (neg.f64 (-.f64 (*.f64 a #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64))))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 a #s(literal -12 binary64) (*.f64 b b)) (*.f64 (fma.f64 a #s(literal -12 binary64) (*.f64 b b)) (fma.f64 a #s(literal -12 binary64) (*.f64 b b))) #s(literal 64 binary64))) (neg.f64 (fma.f64 (fma.f64 a #s(literal -12 binary64) (*.f64 b b)) (fma.f64 a #s(literal -12 binary64) (*.f64 b b)) (-.f64 #s(literal 16 binary64) (*.f64 (fma.f64 a #s(literal -12 binary64) (*.f64 b b)) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) (fma.f64 b b #s(literal 4 binary64))) (*.f64 (*.f64 a a) #s(literal 144 binary64)))) (neg.f64 (-.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a #s(literal -12 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 a #s(literal -12 binary64) (*.f64 b b)) (fma.f64 a #s(literal -12 binary64) (*.f64 b b))) #s(literal 16 binary64))) (neg.f64 (-.f64 (fma.f64 a #s(literal -12 binary64) (*.f64 b b)) #s(literal 4 binary64))))
(pow.f64 (/.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (-.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a #s(literal -12 binary64))) (*.f64 (*.f64 a a) #s(literal 144 binary64))) (fma.f64 (*.f64 a (*.f64 a a)) #s(literal -1728 binary64) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (fma.f64 b b #s(literal 4 binary64)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 a #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 a a) #s(literal 144 binary64)) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (fma.f64 b b #s(literal 4 binary64))))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal -1728 binary64) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (fma.f64 b b #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (-.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a #s(literal -12 binary64))) (*.f64 (*.f64 a a) #s(literal 144 binary64)))))
(*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 144 binary64)) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (fma.f64 b b #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64)))))

simplify394.0ms (2.9%)

Memory
-18.6MiB live, 332.1MiB allocated
Algorithm
egg-herbie
Rules
10 116×accelerator-lowering-fma.f32
10 116×accelerator-lowering-fma.f64
4 612×*-lowering-*.f32
4 612×*-lowering-*.f64
3 272×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05084534
116694392
253434300
081693971
Stop Event
iter limit
node limit
Counts
336 → 336
Calls
Call 1
Inputs
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(- (pow a 4) 1)
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(pow b 3)
(+ (* a (pow b 2)) (pow b 3))
(+ (* a (+ (* a b) (pow b 2))) (pow b 3))
(+ (* a (+ (* a (+ a b)) (pow b 2))) (pow b 3))
(pow a 3)
(* (pow a 3) (+ 1 (/ b a)))
(* (pow a 3) (+ 1 (+ (/ b a) (/ (pow b 2) (pow a 2)))))
(* (pow a 3) (+ 1 (+ (/ b a) (+ (/ (pow b 2) (pow a 2)) (/ (pow b 3) (pow a 3))))))
(pow a 3)
(* -1 (* (pow a 3) (- (* -1 (/ b a)) 1)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ b (/ (pow b 2) a)) a)) 1)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ b (* -1 (/ (+ (* -1 (/ (pow b 3) a)) (* -1 (pow b 2))) a))) a)) 1)))
(pow a 3)
(+ (* (pow a 2) b) (pow a 3))
(+ (* b (+ (* a b) (pow a 2))) (pow a 3))
(+ (* b (+ (* b (+ a b)) (pow a 2))) (pow a 3))
(pow b 3)
(* (pow b 3) (+ 1 (/ a b)))
(* (pow b 3) (+ 1 (+ (/ a b) (/ (pow a 2) (pow b 2)))))
(* (pow b 3) (+ 1 (+ (/ a b) (+ (/ (pow a 2) (pow b 2)) (/ (pow a 3) (pow b 3))))))
(pow b 3)
(* -1 (* (pow b 3) (- (* -1 (/ a b)) 1)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ a (/ (pow a 2) b)) b)) 1)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* -1 (pow a 2))) b))) b)) 1)))
b
(+ b (* -1 a))
(+ b (* a (- (* 2 (/ a b)) 1)))
(+ b (* a (- (* a (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 b)))) 1)))
a
(* a (+ 1 (* -1 (/ b a))))
(* a (- (+ 1 (/ (pow b 2) (pow a 2))) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))))
(* a (- (+ 1 (+ (* -1 (/ (* b (- (pow b 2) (* -1 (pow b 2)))) (pow a 3))) (/ (pow b 2) (pow a 2)))) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))))
a
(* -1 (* a (- (/ b a) 1)))
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* -1 (pow b 2)) (pow b 2)) a)) b) a)) 1)))
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* b (- (* -1 (pow b 2)) (pow b 2))) a)) (* -1 (pow b 2))) (pow b 2)) a)) b) a)) 1)))
a
(+ a (* -1 b))
(+ a (* b (- (* 2 (/ b a)) 1)))
(+ a (* b (- (* b (+ (* -2 (/ b (pow a 2))) (* 2 (/ 1 a)))) 1)))
b
(* b (+ 1 (* -1 (/ a b))))
(* b (- (+ 1 (/ (pow a 2) (pow b 2))) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b))))
(* b (- (+ 1 (+ (* -1 (/ (* a (- (pow a 2) (* -1 (pow a 2)))) (pow b 3))) (/ (pow a 2) (pow b 2)))) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b))))
b
(* -1 (* b (- (/ a b) 1)))
(* -1 (* b (- (* -1 (/ (- (* -1 (/ (- (* -1 (pow a 2)) (pow a 2)) b)) a) b)) 1)))
(* -1 (* b (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* a (- (* -1 (pow a 2)) (pow a 2))) b)) (* -1 (pow a 2))) (pow a 2)) b)) a) b)) 1)))
(pow b 2)
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(pow a 2)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(pow a 2)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(pow a 2)
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(pow b 2)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
-1
(- (pow a 4) 1)
(- (pow a 4) 1)
(- (pow a 4) 1)
(pow a 4)
(* (pow a 4) (- 1 (/ 1 (pow a 4))))
(* (pow a 4) (- 1 (/ 1 (pow a 4))))
(* (pow a 4) (- 1 (/ 1 (pow a 4))))
(pow a 4)
(* (pow a 4) (- 1 (/ 1 (pow a 4))))
(* (pow a 4) (- 1 (/ 1 (pow a 4))))
(* (pow a 4) (- 1 (/ 1 (pow a 4))))
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(* (pow a 2) (+ 4 (* 2 (pow b 2))))
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* 4 a))))
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a)))))
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2))))
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))))
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))))
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2))))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2))))
4
(+ 4 (* 4 a))
(+ 4 (* a (+ 4 a)))
(+ 4 (* a (+ 4 a)))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
4
(+ 4 (* 4 a))
(+ 4 (* 4 a))
(+ 4 (* 4 a))
(* 4 a)
(* a (+ 4 (* 4 (/ 1 a))))
(* a (+ 4 (* 4 (/ 1 a))))
(* a (+ 4 (* 4 (/ 1 a))))
(* 4 a)
(* a (+ 4 (* 4 (/ 1 a))))
(* a (+ 4 (* 4 (/ 1 a))))
(* a (+ 4 (* 4 (/ 1 a))))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(- (+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(- (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(- (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1)
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))))) 1)
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ 1 (pow b 2))) (+ (/ (* a (- (* 2 a) 12)) (pow b 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ 1 (pow b 2))) (+ (/ (* a (- (* 2 a) 12)) (pow b 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 4))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ 1 (pow b 2))) (+ (/ (* a (- (* 2 a) 12)) (pow b 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ 1 (pow b 2))) (+ (/ (* a (- (* 2 a) 12)) (pow b 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 2) (+ 4 (pow b 2)))
(+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2))))
(+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 4 (pow b 2))))
(+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (* (pow b 2) (+ 4 (pow b 2))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(* (pow a 2) (+ 4 (* a (+ 4 a))))
(+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12)))))
(+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2)))))
(+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2)))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (+ (/ (* a (- (* 2 a) 12)) (pow b 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 4))))))
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (+ (/ (* a (- (* 2 a) 12)) (pow b 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 4))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (+ (/ (* a (- (* 2 a) 12)) (pow b 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 4))))))
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (+ (/ (* a (- (* 2 a) 12)) (pow b 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 4))))))
4
(+ 4 (* 4 a))
(+ 4 (* a (+ 4 a)))
(+ 4 (* a (+ 4 a)))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* -1 (pow b 4))
(+ (* -1 (pow b 4)) (* a (+ (* -1 (pow b 3)) (pow b 3))))
(+ (* -1 (pow b 4)) (* a (+ (* -1 (pow b 3)) (+ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)))))
(+ (* -1 (pow b 4)) (* a (+ (* -1 (pow b 3)) (+ (* a (+ (* -1 (pow b 2)) (+ (* a (+ b (* -1 b))) (pow b 2)))) (pow b 3)))))
(pow a 4)
(* (pow a 4) (+ 1 (+ (* -1 (/ b a)) (/ b a))))
(* (pow a 4) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (/ b a) (/ (pow b 2) (pow a 2)))))))
(* (pow a 4) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (* -1 (/ (pow b 3) (pow a 3))) (+ (/ b a) (+ (/ (pow b 2) (pow a 2)) (/ (pow b 3) (pow a 3)))))))))
(pow a 4)
(* (pow a 4) (+ 1 (+ (* -1 (/ b a)) (/ b a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (+ (* -1 (/ (pow b 2) a)) (/ (pow b 2) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (* -1 (/ (+ (* -1 (+ (* -1 (pow b 2)) (pow b 2))) (+ (* -1 (/ (pow b 3) a)) (/ (pow b 3) a))) a))) a))))
(pow a 4)
(+ (* b (+ (* -1 (pow a 3)) (pow a 3))) (pow a 4))
(+ (* b (+ (* -1 (pow a 3)) (+ (* b (+ (* -1 (pow a 2)) (pow a 2))) (pow a 3)))) (pow a 4))
(+ (* b (+ (* -1 (pow a 3)) (+ (* b (+ (* -1 (pow a 2)) (+ (* b (+ a (* -1 a))) (pow a 2)))) (pow a 3)))) (pow a 4))
(* -1 (pow b 4))
(* (pow b 4) (- (+ (* -1 (/ a b)) (/ a b)) 1))
(* (pow b 4) (- (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (+ (/ a b) (/ (pow a 2) (pow b 2))))) 1))
(* (pow b 4) (- (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (+ (* -1 (/ (pow a 3) (pow b 3))) (+ (/ a b) (+ (/ (pow a 2) (pow b 2)) (/ (pow a 3) (pow b 3))))))) 1))
(* -1 (pow b 4))
(* (pow b 4) (- (* -1 (/ (+ a (* -1 a)) b)) 1))
(* (pow b 4) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (+ (* -1 (pow a 2)) (pow a 2)) b)))) b)) 1))
(* (pow b 4) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow a 3)) (pow a 3)) b)) (+ (* -1 (pow a 2)) (pow a 2))) b)))) b)) 1))
(* 2 (* (pow a 2) (pow b 2)))
(* 2 (* (pow a 2) (pow b 2)))
(* 2 (* (pow a 2) (pow b 2)))
(* 2 (* (pow a 2) (pow b 2)))
(* 2 (* (pow a 2) (pow b 2)))
(* 2 (* (pow a 2) (pow b 2)))
(* 2 (* (pow a 2) (pow b 2)))
(* 2 (* (pow a 2) (pow b 2)))
(* 2 (* (pow a 2) (pow b 2)))
(* 2 (* (pow a 2) (pow b 2)))
(* 2 (* (pow a 2) (pow b 2)))
(* 2 (* (pow a 2) (pow b 2)))
(* 2 (* (pow a 2) (pow b 2)))
(* 2 (* (pow a 2) (pow b 2)))
(* 2 (* (pow a 2) (pow b 2)))
(* 2 (* (pow a 2) (pow b 2)))
(* 2 (* (pow a 2) (pow b 2)))
(* 2 (* (pow a 2) (pow b 2)))
(* 2 (* (pow a 2) (pow b 2)))
(* 2 (* (pow a 2) (pow b 2)))
(* 2 (* (pow a 2) (pow b 2)))
(* 2 (* (pow a 2) (pow b 2)))
(* 2 (* (pow a 2) (pow b 2)))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))
(* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))))
(* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))))
(* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))
(* (pow b 2) (+ 4 (pow b 2)))
(+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2))))
(+ (* a (+ (* -12 (pow b 2)) (* 2 (* a (pow b 2))))) (* (pow b 2) (+ 4 (pow b 2))))
(+ (* a (+ (* -12 (pow b 2)) (* 2 (* a (pow b 2))))) (* (pow b 2) (+ 4 (pow b 2))))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))))
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (* 12 (pow b 2))) a)) (* 2 (pow b 2))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (* 12 (pow b 2))) a)) (* 2 (pow b 2))))
(+ 4 (pow b 2))
(+ 4 (+ (* -12 a) (pow b 2)))
(+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2)))
(+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2)))
(* 2 (pow a 2))
(* (pow a 2) (- 2 (* 12 (/ 1 a))))
(* (pow a 2) (- (+ 2 (+ (/ 4 (pow a 2)) (/ (pow b 2) (pow a 2)))) (* 12 (/ 1 a))))
(* (pow a 2) (- (+ 2 (+ (/ 4 (pow a 2)) (/ (pow b 2) (pow a 2)))) (* 12 (/ 1 a))))
(* 2 (pow a 2))
(* (pow a 2) (- 2 (* 12 (/ 1 a))))
(* (pow a 2) (+ 2 (* -1 (/ (+ 12 (* -1 (/ (+ 4 (pow b 2)) a))) a))))
(* (pow a 2) (+ 2 (* -1 (/ (+ 12 (* -1 (/ (+ 4 (pow b 2)) a))) a))))
(+ 4 (* a (- (* 2 a) 12)))
(+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2)))
(+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2)))
(+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2)))
(pow b 2)
(* (pow b 2) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))
Outputs
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal -1 binary64))
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1 binary64)))
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1 binary64)))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 b b) (*.f64 a a)) (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 b b) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 b b) (*.f64 a a)) (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 b b) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 b b) (*.f64 a a)) (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 b b) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 b b) (*.f64 a a)) (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 b b) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))))
(- (pow a 4) 1)
(fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1 binary64))
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
(fma.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) (fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1 binary64)))
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1 binary64)))
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1 binary64)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b)))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 #s(literal 4 binary64) (*.f64 b b))) (+.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 #s(literal 4 binary64) (*.f64 b b))) (+.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b)))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 #s(literal 4 binary64) (*.f64 b b))) (+.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 #s(literal 4 binary64) (*.f64 b b))) (+.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))))
(pow b 3)
(*.f64 b (*.f64 b b))
(+ (* a (pow b 2)) (pow b 3))
(*.f64 b (*.f64 b (+.f64 b a)))
(+ (* a (+ (* a b) (pow b 2))) (pow b 3))
(*.f64 b (fma.f64 b (+.f64 b a) (*.f64 a a)))
(+ (* a (+ (* a (+ a b)) (pow b 2))) (pow b 3))
(fma.f64 a (*.f64 a (+.f64 b a)) (*.f64 b (*.f64 b (+.f64 b a))))
(pow a 3)
(*.f64 a (*.f64 a a))
(* (pow a 3) (+ 1 (/ b a)))
(*.f64 (*.f64 a a) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a))))
(* (pow a 3) (+ 1 (+ (/ b a) (/ (pow b 2) (pow a 2)))))
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 b a))))
(* (pow a 3) (+ 1 (+ (/ b a) (+ (/ (pow b 2) (pow a 2)) (/ (pow b 3) (pow a 3))))))
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 b a)) (fma.f64 b (*.f64 b (/.f64 b (*.f64 a (*.f64 a a)))) #s(literal 1 binary64))))
(pow a 3)
(*.f64 a (*.f64 a a))
(* -1 (* (pow a 3) (- (* -1 (/ b a)) 1)))
(*.f64 (*.f64 a a) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a))))
(* -1 (* (pow a 3) (- (* -1 (/ (+ b (/ (pow b 2) a)) a)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 b (/.f64 b a) b) a)) (neg.f64 (*.f64 a (*.f64 a a))))
(* -1 (* (pow a 3) (- (* -1 (/ (+ b (* -1 (/ (+ (* -1 (/ (pow b 3) a)) (* -1 (pow b 2))) a))) a)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 b (/.f64 (fma.f64 b b (/.f64 (*.f64 b (*.f64 b b)) a)) a)) a)) (neg.f64 (*.f64 a (*.f64 a a))))
(pow a 3)
(*.f64 a (*.f64 a a))
(+ (* (pow a 2) b) (pow a 3))
(*.f64 a (*.f64 a (+.f64 b a)))
(+ (* b (+ (* a b) (pow a 2))) (pow a 3))
(*.f64 a (fma.f64 b (+.f64 b a) (*.f64 a a)))
(+ (* b (+ (* b (+ a b)) (pow a 2))) (pow a 3))
(fma.f64 b (*.f64 b (+.f64 b a)) (*.f64 a (*.f64 a (+.f64 b a))))
(pow b 3)
(*.f64 b (*.f64 b b))
(* (pow b 3) (+ 1 (/ a b)))
(*.f64 (*.f64 b b) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b))))
(* (pow b 3) (+ 1 (+ (/ a b) (/ (pow a 2) (pow b 2)))))
(*.f64 (*.f64 b (*.f64 b b)) (fma.f64 a (/.f64 a (*.f64 b b)) (+.f64 #s(literal 1 binary64) (/.f64 a b))))
(* (pow b 3) (+ 1 (+ (/ a b) (+ (/ (pow a 2) (pow b 2)) (/ (pow a 3) (pow b 3))))))
(*.f64 (*.f64 b (*.f64 b b)) (+.f64 #s(literal 1 binary64) (fma.f64 a (/.f64 (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 a (/.f64 a (*.f64 b b)) (/.f64 a b)))))
(pow b 3)
(*.f64 b (*.f64 b b))
(* -1 (* (pow b 3) (- (* -1 (/ a b)) 1)))
(*.f64 (*.f64 b b) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ a (/ (pow a 2) b)) b)) 1)))
(*.f64 (*.f64 b (*.f64 b b)) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (/.f64 a b) a) b)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* -1 (pow a 2))) b))) b)) 1)))
(*.f64 (*.f64 b (*.f64 b b)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 a (/.f64 (fma.f64 a a (/.f64 (*.f64 a (*.f64 a a)) b)) b)) b)))
b
(+ b (* -1 a))
(-.f64 b a)
(+ b (* a (- (* 2 (/ a b)) 1)))
(fma.f64 a (fma.f64 #s(literal 2 binary64) (/.f64 a b) #s(literal -1 binary64)) b)
(+ b (* a (- (* a (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 b)))) 1)))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal -2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)) b)
a
(* a (+ 1 (* -1 (/ b a))))
(-.f64 a (*.f64 (/.f64 b a) a))
(* a (- (+ 1 (/ (pow b 2) (pow a 2))) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))))
(+.f64 a (*.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a) b) a) a))
(* a (- (+ 1 (+ (* -1 (/ (* b (- (pow b 2) (* -1 (pow b 2)))) (pow a 3))) (/ (pow b 2) (pow a 2)))) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))))
(+.f64 a (*.f64 a (fma.f64 (*.f64 (*.f64 b b) #s(literal -2 binary64)) (/.f64 b (*.f64 a (*.f64 a a))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a) b) a))))
a
(* -1 (* a (- (/ b a) 1)))
(-.f64 a (*.f64 (/.f64 b a) a))
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* -1 (pow b 2)) (pow b 2)) a)) b) a)) 1)))
(+.f64 a (*.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a) b) a) a))
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* b (- (* -1 (pow b 2)) (pow b 2))) a)) (* -1 (pow b 2))) (pow b 2)) a)) b) a)) 1)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 b (+.f64 b (/.f64 (*.f64 (*.f64 b b) #s(literal -2 binary64)) a)) (*.f64 b b)) a) b) a)))
a
(+ a (* -1 b))
(-.f64 a b)
(+ a (* b (- (* 2 (/ b a)) 1)))
(fma.f64 b (fma.f64 #s(literal 2 binary64) (/.f64 b a) #s(literal -1 binary64)) a)
(+ a (* b (- (* b (+ (* -2 (/ b (pow a 2))) (* 2 (/ 1 a)))) 1)))
(fma.f64 b (fma.f64 b (fma.f64 #s(literal -2 binary64) (/.f64 b (*.f64 a a)) (/.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64)) a)
b
(* b (+ 1 (* -1 (/ a b))))
(-.f64 b (*.f64 b (/.f64 a b)))
(* b (- (+ 1 (/ (pow a 2) (pow b 2))) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b))))
(fma.f64 b (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b) a) b) b)
(* b (- (+ 1 (+ (* -1 (/ (* a (- (pow a 2) (* -1 (pow a 2)))) (pow b 3))) (/ (pow a 2) (pow b 2)))) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b))))
(*.f64 b (+.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (/.f64 a (*.f64 b (*.f64 b b))) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b) a) b)))
b
(* -1 (* b (- (/ a b) 1)))
(-.f64 b (*.f64 b (/.f64 a b)))
(* -1 (* b (- (* -1 (/ (- (* -1 (/ (- (* -1 (pow a 2)) (pow a 2)) b)) a) b)) 1)))
(fma.f64 b (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b) a) b) b)
(* -1 (* b (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* a (- (* -1 (pow a 2)) (pow a 2))) b)) (* -1 (pow a 2))) (pow a 2)) b)) a) b)) 1)))
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(pow b 2)
(*.f64 b b)
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
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(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
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(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
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(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
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(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
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(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
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(pow a 2)
(*.f64 a a)
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(*.f64 (*.f64 b b) (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(*.f64 (*.f64 b b) (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(*.f64 (*.f64 b b) (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal 1 binary64)))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
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(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
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-1
#s(literal -1 binary64)
(- (pow a 4) 1)
(fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1 binary64))
(- (pow a 4) 1)
(fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1 binary64))
(- (pow a 4) 1)
(fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1 binary64))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (- 1 (/ 1 (pow a 4))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (*.f64 a a))))))
(* (pow a 4) (- 1 (/ 1 (pow a 4))))
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(* (pow a 4) (- 1 (/ 1 (pow a 4))))
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(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (- 1 (/ 1 (pow a 4))))
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(* (pow a 4) (- 1 (/ 1 (pow a 4))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (*.f64 a a))))))
(* (pow a 4) (- 1 (/ 1 (pow a 4))))
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(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 4 (* 2 (pow b 2))))
(*.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* 4 a))))
(*.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))))
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a)))))
(*.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))))
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a)))))
(*.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
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(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
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(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 b b) #s(literal -2 binary64) #s(literal -4 binary64)) a) #s(literal -4 binary64)) a)))
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(* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2))))
(*.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))))
(*.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))))
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))))
(*.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))))
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))))
(*.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))))
(* 2 (* (pow a 2) (pow b 2)))
(*.f64 (*.f64 b b) (*.f64 #s(literal 2 binary64) (*.f64 a a)))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2))))
(*.f64 (*.f64 b b) (*.f64 (*.f64 a a) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 b b)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2))))
(*.f64 (*.f64 b b) (*.f64 (*.f64 a a) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 b b)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2))))
(*.f64 (*.f64 b b) (*.f64 (*.f64 a a) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 b b)))))
(* 2 (* (pow a 2) (pow b 2)))
(*.f64 (*.f64 b b) (*.f64 #s(literal 2 binary64) (*.f64 a a)))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2))))
(*.f64 (*.f64 b b) (*.f64 (*.f64 a a) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 b b)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2))))
(*.f64 (*.f64 b b) (*.f64 (*.f64 a a) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 b b)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2))))
(*.f64 (*.f64 b b) (*.f64 (*.f64 a a) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 b b)))))
4
#s(literal 4 binary64)
(+ 4 (* 4 a))
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
(+ 4 (* a (+ 4 a)))
(fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))
(+ 4 (* a (+ 4 a)))
(fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 4 binary64) a))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(fma.f64 a (+.f64 #s(literal 4 binary64) a) (*.f64 (*.f64 a a) (/.f64 #s(literal 4 binary64) (*.f64 a a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(fma.f64 a (+.f64 #s(literal 4 binary64) a) (*.f64 (*.f64 a a) (/.f64 #s(literal 4 binary64) (*.f64 a a))))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 4 binary64) a))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(fma.f64 a (+.f64 #s(literal 4 binary64) a) (*.f64 (*.f64 a a) (/.f64 #s(literal 4 binary64) (*.f64 a a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(fma.f64 a (+.f64 #s(literal 4 binary64) a) (*.f64 (*.f64 a a) (/.f64 #s(literal 4 binary64) (*.f64 a a))))
4
#s(literal 4 binary64)
(+ 4 (* 4 a))
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
(+ 4 (* 4 a))
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
(+ 4 (* 4 a))
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
(* 4 a)
(*.f64 #s(literal 4 binary64) a)
(* a (+ 4 (* 4 (/ 1 a))))
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
(* a (+ 4 (* 4 (/ 1 a))))
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
(* a (+ 4 (* 4 (/ 1 a))))
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
(* 4 a)
(*.f64 #s(literal 4 binary64) a)
(* a (+ 4 (* 4 (/ 1 a))))
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
(* a (+ 4 (* 4 (/ 1 a))))
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
(* a (+ 4 (* 4 (/ 1 a))))
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(- (+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))
(- (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)))) #s(literal -1 binary64)))
(- (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 4 binary64) a) (/.f64 #s(literal 4 binary64) (*.f64 a a)))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal -12 binary64) (*.f64 a (*.f64 a a))) (+.f64 (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 4 binary64) a) (/.f64 #s(literal 4 binary64) (*.f64 a a))))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
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(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
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(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1)
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(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))))) 1)
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(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))))) 1)
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (/.f64 a (*.f64 b b)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b)))))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ 1 (pow b 2))) (+ (/ (* a (- (* 2 a) 12)) (pow b 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 4))))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 4 binary64) (*.f64 b b))) (fma.f64 (*.f64 a a) (/.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ 1 (pow b 2))) (+ (/ (* a (- (* 2 a) 12)) (pow b 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 4))))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 4 binary64) (*.f64 b b))) (fma.f64 (*.f64 a a) (/.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))
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4
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(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))
(+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2))))
(*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))))
(+ (* a (+ (* -12 (pow b 2)) (* 2 (* a (pow b 2))))) (* (pow b 2) (+ 4 (pow b 2))))
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64))))
(+ (* a (+ (* -12 (pow b 2)) (* 2 (* a (pow b 2))))) (* (pow b 2) (+ 4 (pow b 2))))
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64))))
(* 2 (* (pow a 2) (pow b 2)))
(*.f64 (*.f64 b b) (*.f64 #s(literal 2 binary64) (*.f64 a a)))
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))
(*.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 b b) #s(literal -12 binary64)) a))))
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))))
(*.f64 (*.f64 a a) (fma.f64 (*.f64 b b) (/.f64 #s(literal -12 binary64) a) (*.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a))))))
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))))
(*.f64 (*.f64 a a) (fma.f64 (*.f64 b b) (/.f64 #s(literal -12 binary64) a) (*.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a))))))
(* 2 (* (pow a 2) (pow b 2)))
(*.f64 (*.f64 b b) (*.f64 #s(literal 2 binary64) (*.f64 a a)))
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))
(*.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 b b) #s(literal -12 binary64)) a))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (* 12 (pow b 2))) a)) (* 2 (pow b 2))))
(*.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (/.f64 (fma.f64 (*.f64 b b) (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) (neg.f64 (*.f64 (*.f64 b b) #s(literal 12 binary64)))) a)))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (* 12 (pow b 2))) a)) (* 2 (pow b 2))))
(*.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (/.f64 (fma.f64 (*.f64 b b) (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) (neg.f64 (*.f64 (*.f64 b b) #s(literal 12 binary64)))) a)))
(+ 4 (pow b 2))
(fma.f64 b b #s(literal 4 binary64))
(+ 4 (+ (* -12 a) (pow b 2)))
(fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))
(+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2)))
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64)))
(+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2)))
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64)))
(* 2 (pow a 2))
(*.f64 #s(literal 2 binary64) (*.f64 a a))
(* (pow a 2) (- 2 (* 12 (/ 1 a))))
(*.f64 a (*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a))))
(* (pow a 2) (- (+ 2 (+ (/ 4 (pow a 2)) (/ (pow b 2) (pow a 2)))) (* 12 (/ 1 a))))
(*.f64 (*.f64 a a) (+.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 a a))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a))))
(* (pow a 2) (- (+ 2 (+ (/ 4 (pow a 2)) (/ (pow b 2) (pow a 2)))) (* 12 (/ 1 a))))
(*.f64 (*.f64 a a) (+.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 a a))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a))))
(* 2 (pow a 2))
(*.f64 #s(literal 2 binary64) (*.f64 a a))
(* (pow a 2) (- 2 (* 12 (/ 1 a))))
(*.f64 a (*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a))))
(* (pow a 2) (+ 2 (* -1 (/ (+ 12 (* -1 (/ (+ 4 (pow b 2)) a))) a))))
(*.f64 (*.f64 a a) (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 12 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) a)) a)))
(* (pow a 2) (+ 2 (* -1 (/ (+ 12 (* -1 (/ (+ 4 (pow b 2)) a))) a))))
(*.f64 (*.f64 a a) (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 12 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) a)) a)))
(+ 4 (* a (- (* 2 a) 12)))
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64))
(+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2)))
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64)))
(+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2)))
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64)))
(+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2)))
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64)))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (/.f64 a (*.f64 b b)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b)))))
(* (pow b 2) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (/.f64 a (*.f64 b b)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b)))))
(* (pow b 2) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (/.f64 a (*.f64 b b)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b)))))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (/.f64 a (*.f64 b b)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b)))))
(* (pow b 2) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (/.f64 a (*.f64 b b)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b)))))
(* (pow b 2) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (/.f64 a (*.f64 b b)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b)))))

eval199.0ms (1.5%)

Memory
-0.7MiB live, 192.8MiB allocated
Compiler

Compiled 40 994 to 2 490 computations (93.9% saved)

prune180.0ms (1.3%)

Memory
0.2MiB live, 162.2MiB allocated
Pruning

23 alts after pruning (20 fresh and 3 done)

PrunedKeptTotal
New1 07391 082
Fresh51116
Picked325
Done011
Total1 081231 104
Accuracy
100.0%
Counts
1 104 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.2%
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
98.2%
(fma.f64 (fma.f64 a a (*.f64 b b)) (/.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (+.f64 a b)) (+.f64 a b)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
40.1%
(fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
84.2%
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal -1 binary64))
71.8%
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
77.3%
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))
34.0%
(fma.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) a (*.f64 (*.f64 b b) #s(literal 0 binary64)))
63.8%
(fma.f64 (*.f64 a (*.f64 a a)) a #s(literal -1 binary64))
65.4%
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
74.0%
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) #s(literal -1 binary64)))
69.7%
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (*.f64 a (+.f64 a a)) #s(literal -1 binary64)))
49.7%
(fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))
52.1%
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
42.5%
(pow.f64 a #s(literal 4 binary64))
57.8%
(-.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal -12 binary64) a) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a)))) #s(literal 4 binary64))) #s(literal 1 binary64))
71.5%
(-.f64 (*.f64 (*.f64 a a) (-.f64 (fma.f64 b (+.f64 b b) #s(literal 4 binary64)) (/.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 12 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) a))) a))) #s(literal 1 binary64))
77.4%
(+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64)))))
53.2%
(*.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))))
43.3%
(*.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))
42.5%
(*.f64 (*.f64 a a) (*.f64 a a))
50.3%
(*.f64 b (*.f64 b (*.f64 b b)))
42.5%
(*.f64 a (*.f64 a (*.f64 a a)))
22.8%
#s(literal -1 binary64)
Compiler

Compiled 750 to 414 computations (44.8% saved)

simplify486.0ms (3.6%)

Memory
36.6MiB live, 794.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64))
cost-diff0
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64))
cost-diff0
(*.f64 b b)
cost-diff0
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))
cost-diff0
(fma.f64 a (+.f64 #s(literal 4 binary64) a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))
cost-diff0
(*.f64 a a)
cost-diff0
(*.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))))
cost-diff128
(fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))
cost-diff0
(fma.f64 b b #s(literal 4 binary64))
cost-diff0
(*.f64 b b)
cost-diff0
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
cost-diff0
(*.f64 a a)
cost-diff0
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
cost-diff0
(fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))
cost-diff0
(*.f64 b b)
cost-diff0
(fma.f64 a a (*.f64 b b))
cost-diff0
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
Rules
22 104×accelerator-lowering-fma.f32
22 104×accelerator-lowering-fma.f64
5 316×+-lowering-+.f64
5 316×+-lowering-+.f32
3 848×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034208
1112208
2345208
3861208
42036208
52629206
63242206
74459206
84976206
97850206
08026181
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* b (* b 4)) -1))
(+ (* a a) (* b b))
a
(* b b)
b
(+ (* b (* b 4)) -1)
(* b 4)
4
-1
(+ (* 4 (* a a)) -1)
4
(* a a)
a
-1
(+ (* (* b b) (+ (* b b) 4)) -1)
(* b b)
b
(+ (* b b) 4)
4
-1
(* (* a a) (+ (* a (+ 4 a)) (+ (* 2 (* b b)) 4)))
(* a a)
a
(+ (* a (+ 4 a)) (+ (* 2 (* b b)) 4))
(+ 4 a)
4
(+ (* 2 (* b b)) 4)
2
(* b b)
b
(+ (* (* b b) (+ (* a (+ (* 2 a) -12)) 4)) (+ (* (* a a) (+ (* a (+ 4 a)) 4)) -1))
(* b b)
b
(+ (* a (+ (* 2 a) -12)) 4)
a
(+ (* 2 a) -12)
2
-12
4
(+ (* (* a a) (+ (* a (+ 4 a)) 4)) -1)
(* a a)
(+ (* a (+ 4 a)) 4)
(+ 4 a)
-1
Outputs
(+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* b (* b 4)) -1))
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
(+ (* a a) (* b b))
(fma.f64 a a (*.f64 b b))
a
(* b b)
(*.f64 b b)
b
(+ (* b (* b 4)) -1)
(fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))
(* b 4)
(*.f64 b #s(literal 4 binary64))
4
#s(literal 4 binary64)
-1
#s(literal -1 binary64)
(+ (* 4 (* a a)) -1)
(fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))
4
#s(literal 4 binary64)
(* a a)
(*.f64 a a)
a
-1
#s(literal -1 binary64)
(+ (* (* b b) (+ (* b b) 4)) -1)
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))
(* b b)
(*.f64 b b)
b
(+ (* b b) 4)
(fma.f64 b b #s(literal 4 binary64))
4
#s(literal 4 binary64)
-1
#s(literal -1 binary64)
(* (* a a) (+ (* a (+ 4 a)) (+ (* 2 (* b b)) 4)))
(*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 b (+.f64 b b) #s(literal 4 binary64)))))
(* a a)
(*.f64 a a)
a
(+ (* a (+ 4 a)) (+ (* 2 (* b b)) 4))
(fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 b (+.f64 b b) #s(literal 4 binary64)))
(+ 4 a)
(+.f64 a #s(literal 4 binary64))
4
#s(literal 4 binary64)
(+ (* 2 (* b b)) 4)
(fma.f64 b (+.f64 b b) #s(literal 4 binary64))
2
#s(literal 2 binary64)
(* b b)
(*.f64 b b)
b
(+ (* (* b b) (+ (* a (+ (* 2 a) -12)) 4)) (+ (* (* a a) (+ (* a (+ 4 a)) 4)) -1))
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 a (+.f64 (+.f64 a a) #s(literal -12 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))
(* b b)
(*.f64 b b)
b
(+ (* a (+ (* 2 a) -12)) 4)
(fma.f64 a (+.f64 (+.f64 a a) #s(literal -12 binary64)) #s(literal 4 binary64))
a
(+ (* 2 a) -12)
(+.f64 (+.f64 a a) #s(literal -12 binary64))
2
#s(literal 2 binary64)
-12
#s(literal -12 binary64)
4
#s(literal 4 binary64)
(+ (* (* a a) (+ (* a (+ 4 a)) 4)) -1)
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))
(* a a)
(*.f64 a a)
(+ (* a (+ 4 a)) 4)
(fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))
(+ 4 a)
(+.f64 a #s(literal 4 binary64))
-1
#s(literal -1 binary64)

localize141.0ms (1%)

Memory
-1.3MiB live, 116.6MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 b b)
accuracy100.0%
(*.f64 a a)
accuracy99.9%
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
accuracy95.3%
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))
accuracy100.0%
(*.f64 b b)
accuracy100.0%
(*.f64 a a)
accuracy100.0%
(fma.f64 a (+.f64 #s(literal 4 binary64) a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))
accuracy83.5%
(*.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))))
accuracy100.0%
(fma.f64 b b #s(literal 4 binary64))
accuracy100.0%
(*.f64 b b)
accuracy99.9%
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
accuracy100.0%
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
accuracy100.0%
(*.f64 a a)
accuracy100.0%
(fma.f64 a a (*.f64 b b))
accuracy100.0%
(*.f64 b b)
accuracy100.0%
(*.f64 b #s(literal 4 binary64))
accuracy99.9%
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
Samples
67.0ms256×0valid
Compiler

Compiled 184 to 36 computations (80.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-mult: 18.0ms (55.2% of total)
ival-add: 14.0ms (42.9% of total)
exact: 1.0ms (3.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
-24.7MiB live, 14.2MiB allocated
Counts
16 → 252
Calls
Call 1
Inputs
#<alt (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* b (* b 4)) -1))>
#<alt (+ (* a a) (* b b))>
#<alt (* b b)>
#<alt (+ (* b (* b 4)) -1)>
#<alt (+ (* 4 (* a a)) -1)>
#<alt (* a a)>
#<alt (+ (* (* b b) (+ (* b b) 4)) -1)>
#<alt (+ (* b b) 4)>
#<alt (+ (* 2 (* b b)) 4)>
#<alt (* (* a a) (+ (* a (+ 4 a)) (+ (* 2 (* b b)) 4)))>
#<alt (+ (* a (+ 4 a)) (+ (* 2 (* b b)) 4))>
#<alt (+ (* (* b b) (+ (* a (+ (* 2 a) -12)) 4)) (+ (* (* a a) (+ (* a (+ 4 a)) 4)) -1))>
#<alt (+ (* a (+ (* 2 a) -12)) 4)>
#<alt (+ (* 2 a) -12)>
#<alt (* b 4)>
#<alt (+ (* (* a a) (+ (* a (+ 4 a)) 4)) -1)>
Outputs
#<alt (- (+ (* 4 (pow b 2)) (pow b 4)) 1)>
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))>
#<alt (- (pow a 4) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))>
#<alt (pow b 2)>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (pow a 2)>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt -1>
#<alt (- (* 4 (pow b 2)) 1)>
#<alt (- (* 4 (pow b 2)) 1)>
#<alt (- (* 4 (pow b 2)) 1)>
#<alt (* 4 (pow b 2))>
#<alt (* (pow b 2) (- 4 (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- 4 (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- 4 (/ 1 (pow b 2))))>
#<alt (* 4 (pow b 2))>
#<alt (* (pow b 2) (- 4 (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- 4 (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- 4 (/ 1 (pow b 2))))>
#<alt -1>
#<alt (- (* 4 (pow a 2)) 1)>
#<alt (- (* 4 (pow a 2)) 1)>
#<alt (- (* 4 (pow a 2)) 1)>
#<alt (* 4 (pow a 2))>
#<alt (* (pow a 2) (- 4 (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- 4 (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- 4 (/ 1 (pow a 2))))>
#<alt (* 4 (pow a 2))>
#<alt (* (pow a 2) (- 4 (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- 4 (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- 4 (/ 1 (pow a 2))))>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt -1>
#<alt (- (* 4 (pow b 2)) 1)>
#<alt (- (* (pow b 2) (+ 4 (pow b 2))) 1)>
#<alt (- (* (pow b 2) (+ 4 (pow b 2))) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))>
#<alt 4>
#<alt (+ 4 (pow b 2))>
#<alt (+ 4 (pow b 2))>
#<alt (+ 4 (pow b 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt 4>
#<alt (+ 4 (* 2 (pow b 2)))>
#<alt (+ 4 (* 2 (pow b 2)))>
#<alt (+ 4 (* 2 (pow b 2)))>
#<alt (* 2 (pow b 2))>
#<alt (* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2)))))>
#<alt (* 2 (pow b 2))>
#<alt (* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow a 2) (+ 4 (* 2 (pow b 2))))>
#<alt (* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* 4 a))))>
#<alt (* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a)))))>
#<alt (* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a)))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))>
#<alt (* (pow a 2) (+ 4 (* a (+ 4 a))))>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 2) (+ 4 (* a (+ 4 a)))))>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 2) (+ 4 (* a (+ 4 a)))))>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 2) (+ 4 (* a (+ 4 a)))))>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))))>
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))))>
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))))>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))))>
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))))>
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))))>
#<alt (+ 4 (* 2 (pow b 2)))>
#<alt (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))>
#<alt (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))>
#<alt (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))>
#<alt (* (pow a 2) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))>
#<alt (+ 4 (* a (+ 4 a)))>
#<alt (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))>
#<alt (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))>
#<alt (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))>
#<alt (* 2 (pow b 2))>
#<alt (* (pow b 2) (+ 2 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (+ 4 a)) (pow b 2)))))>
#<alt (* (pow b 2) (+ 2 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (+ 4 a)) (pow b 2)))))>
#<alt (* (pow b 2) (+ 2 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (+ 4 a)) (pow b 2)))))>
#<alt (* 2 (pow b 2))>
#<alt (* (pow b 2) (+ 2 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (+ 4 a)) (pow b 2)))))>
#<alt (* (pow b 2) (+ 2 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (+ 4 a)) (pow b 2)))))>
#<alt (* (pow b 2) (+ 2 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (+ 4 a)) (pow b 2)))))>
#<alt (- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)>
#<alt (- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1)>
#<alt (- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1)>
#<alt (- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1)>
#<alt (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))>
#<alt (* (pow b 2) (- (+ 4 (+ (* a (- (* 2 a) 12)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (+ 4 (+ (* a (- (* 2 a) 12)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (+ 4 (+ (* a (- (* 2 a) 12)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))>
#<alt (* (pow b 2) (- (+ 4 (+ (* a (- (* 2 a) 12)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (+ 4 (+ (* a (- (* 2 a) 12)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (+ 4 (+ (* a (- (* 2 a) 12)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))) (/ 1 (pow b 2))))>
#<alt (- (* 4 (pow b 2)) 1)>
#<alt (- (+ (* -12 (* a (pow b 2))) (* 4 (pow b 2))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a))))))) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))>
#<alt (* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))>
#<alt 4>
#<alt (+ 4 (* -12 a))>
#<alt (+ 4 (* a (- (* 2 a) 12)))>
#<alt (+ 4 (* a (- (* 2 a) 12)))>
#<alt (* 2 (pow a 2))>
#<alt (* (pow a 2) (- 2 (* 12 (/ 1 a))))>
#<alt (* (pow a 2) (- (+ 2 (/ 4 (pow a 2))) (* 12 (/ 1 a))))>
#<alt (* (pow a 2) (- (+ 2 (/ 4 (pow a 2))) (* 12 (/ 1 a))))>
#<alt (* 2 (pow a 2))>
#<alt (* (pow a 2) (- 2 (* 12 (/ 1 a))))>
#<alt (* (pow a 2) (+ 2 (* -1 (/ (- 12 (* 4 (/ 1 a))) a))))>
#<alt (* (pow a 2) (+ 2 (* -1 (/ (- 12 (* 4 (/ 1 a))) a))))>
#<alt -12>
#<alt (- (* 2 a) 12)>
#<alt (- (* 2 a) 12)>
#<alt (- (* 2 a) 12)>
#<alt (* 2 a)>
#<alt (* a (- 2 (* 12 (/ 1 a))))>
#<alt (* a (- 2 (* 12 (/ 1 a))))>
#<alt (* a (- 2 (* 12 (/ 1 a))))>
#<alt (* 2 a)>
#<alt (* -1 (* a (- (* 12 (/ 1 a)) 2)))>
#<alt (* -1 (* a (- (* 12 (/ 1 a)) 2)))>
#<alt (* -1 (* a (- (* 12 (/ 1 a)) 2)))>
#<alt (* 4 b)>
#<alt (* 4 b)>
#<alt (* 4 b)>
#<alt (* 4 b)>
#<alt (* 4 b)>
#<alt (* 4 b)>
#<alt (* 4 b)>
#<alt (* 4 b)>
#<alt (* 4 b)>
#<alt (* 4 b)>
#<alt (* 4 b)>
#<alt (* 4 b)>
#<alt -1>
#<alt (- (* 4 (pow a 2)) 1)>
#<alt (- (* (pow a 2) (+ 4 (* 4 a))) 1)>
#<alt (- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))) (/ 1 (pow a 4))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4) a))))>
Calls

63 calls:

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

rewrite402.0ms (3%)

Memory
-8.8MiB live, 713.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 118×*-lowering-*.f32
5 118×*-lowering-*.f64
4 354×accelerator-lowering-fma.f32
4 354×accelerator-lowering-fma.f64
3 500×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034154
1268154
22651154
08343131
Stop Event
iter limit
node limit
Counts
16 → 714
Calls
Call 1
Inputs
(+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* b (* b 4)) -1))
(+ (* a a) (* b b))
(* b b)
(+ (* b (* b 4)) -1)
(+ (* 4 (* a a)) -1)
(* a a)
(+ (* (* b b) (+ (* b b) 4)) -1)
(+ (* b b) 4)
(+ (* 2 (* b b)) 4)
(* (* a a) (+ (* a (+ 4 a)) (+ (* 2 (* b b)) 4)))
(+ (* a (+ 4 a)) (+ (* 2 (* b b)) 4))
(+ (* (* b b) (+ (* a (+ (* 2 a) -12)) 4)) (+ (* (* a a) (+ (* a (+ 4 a)) 4)) -1))
(+ (* a (+ (* 2 a) -12)) 4)
(+ (* 2 a) -12)
(* b 4)
(+ (* (* a a) (+ (* a (+ 4 a)) 4)) -1)
Outputs
(+.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 b (*.f64 b #s(literal 4 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))))
(+.f64 #s(literal -1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))))
(+.f64 (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))))
(+.f64 (*.f64 a (*.f64 a (fma.f64 a a (*.f64 b b)))) (fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) b) b (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))))
(+.f64 (fma.f64 b (*.f64 b #s(literal 4 binary64)) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))) #s(literal -1 binary64))
(+.f64 (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)) (*.f64 b (*.f64 b #s(literal 4 binary64))))
(+.f64 (+.f64 (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 a (*.f64 a (fma.f64 a a (*.f64 b b))))) (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))))
(-.f64 (/.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))))) (-.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))) (-.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))))
(fma.f64 a (*.f64 a (fma.f64 a a (*.f64 b b))) (fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) b) b (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) b) b (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))))
(fma.f64 b (*.f64 b #s(literal 4 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))))
(fma.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a) (fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) b) b (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))))
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 b b) (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))))
(fma.f64 (*.f64 b #s(literal 4 binary64)) b (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 a a) (*.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (-.f64 (fma.f64 (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 a a) (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) (*.f64 (*.f64 a a) (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))))))
(/.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 a a) (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 a a) (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))) (fma.f64 (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 a a) (*.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 a a) (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))))))
(*.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))))

simplify461.0ms (3.4%)

Memory
1.0MiB live, 725.8MiB allocated
Algorithm
egg-herbie
Rules
19 340×accelerator-lowering-fma.f32
19 340×accelerator-lowering-fma.f64
4 026×+-lowering-+.f64
4 026×+-lowering-+.f32
3 772×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02032682
16582648
219502584
356242494
082362236
Stop Event
iter limit
node limit
Counts
252 → 252
Calls
Call 1
Inputs
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(- (pow a 4) 1)
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(pow b 2)
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(pow a 2)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(pow a 2)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(pow a 2)
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(pow b 2)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
-1
(- (* 4 (pow b 2)) 1)
(- (* 4 (pow b 2)) 1)
(- (* 4 (pow b 2)) 1)
(* 4 (pow b 2))
(* (pow b 2) (- 4 (/ 1 (pow b 2))))
(* (pow b 2) (- 4 (/ 1 (pow b 2))))
(* (pow b 2) (- 4 (/ 1 (pow b 2))))
(* 4 (pow b 2))
(* (pow b 2) (- 4 (/ 1 (pow b 2))))
(* (pow b 2) (- 4 (/ 1 (pow b 2))))
(* (pow b 2) (- 4 (/ 1 (pow b 2))))
-1
(- (* 4 (pow a 2)) 1)
(- (* 4 (pow a 2)) 1)
(- (* 4 (pow a 2)) 1)
(* 4 (pow a 2))
(* (pow a 2) (- 4 (/ 1 (pow a 2))))
(* (pow a 2) (- 4 (/ 1 (pow a 2))))
(* (pow a 2) (- 4 (/ 1 (pow a 2))))
(* 4 (pow a 2))
(* (pow a 2) (- 4 (/ 1 (pow a 2))))
(* (pow a 2) (- 4 (/ 1 (pow a 2))))
(* (pow a 2) (- 4 (/ 1 (pow a 2))))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
-1
(- (* 4 (pow b 2)) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
4
(+ 4 (pow b 2))
(+ 4 (pow b 2))
(+ 4 (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
4
(+ 4 (* 2 (pow b 2)))
(+ 4 (* 2 (pow b 2)))
(+ 4 (* 2 (pow b 2)))
(* 2 (pow b 2))
(* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2)))))
(* 2 (pow b 2))
(* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2)))))
(* (pow a 2) (+ 4 (* 2 (pow b 2))))
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* 4 a))))
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a)))))
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 2) (+ 4 (* a (+ 4 a))))
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 2) (+ 4 (* a (+ 4 a)))))
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 2) (+ 4 (* a (+ 4 a)))))
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 2) (+ 4 (* a (+ 4 a)))))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))))
(+ 4 (* 2 (pow b 2)))
(+ 4 (+ (* 2 (pow b 2)) (* 4 a)))
(+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))
(+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 2) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 2) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(+ 4 (* a (+ 4 a)))
(+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))
(+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))
(+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))
(* 2 (pow b 2))
(* (pow b 2) (+ 2 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (+ 4 a)) (pow b 2)))))
(* (pow b 2) (+ 2 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (+ 4 a)) (pow b 2)))))
(* (pow b 2) (+ 2 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (+ 4 a)) (pow b 2)))))
(* 2 (pow b 2))
(* (pow b 2) (+ 2 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (+ 4 a)) (pow b 2)))))
(* (pow b 2) (+ 2 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (+ 4 a)) (pow b 2)))))
(* (pow b 2) (+ 2 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (+ 4 a)) (pow b 2)))))
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1)
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1)
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1)
(* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))
(* (pow b 2) (- (+ 4 (+ (* a (- (* 2 a) 12)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 4 (+ (* a (- (* 2 a) 12)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 4 (+ (* a (- (* 2 a) 12)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))
(* (pow b 2) (- (+ 4 (+ (* a (- (* 2 a) 12)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 4 (+ (* a (- (* 2 a) 12)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 4 (+ (* a (- (* 2 a) 12)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))) (/ 1 (pow b 2))))
(- (* 4 (pow b 2)) 1)
(- (+ (* -12 (* a (pow b 2))) (* 4 (pow b 2))) 1)
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))))) 1)
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a))))))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
4
(+ 4 (* -12 a))
(+ 4 (* a (- (* 2 a) 12)))
(+ 4 (* a (- (* 2 a) 12)))
(* 2 (pow a 2))
(* (pow a 2) (- 2 (* 12 (/ 1 a))))
(* (pow a 2) (- (+ 2 (/ 4 (pow a 2))) (* 12 (/ 1 a))))
(* (pow a 2) (- (+ 2 (/ 4 (pow a 2))) (* 12 (/ 1 a))))
(* 2 (pow a 2))
(* (pow a 2) (- 2 (* 12 (/ 1 a))))
(* (pow a 2) (+ 2 (* -1 (/ (- 12 (* 4 (/ 1 a))) a))))
(* (pow a 2) (+ 2 (* -1 (/ (- 12 (* 4 (/ 1 a))) a))))
-12
(- (* 2 a) 12)
(- (* 2 a) 12)
(- (* 2 a) 12)
(* 2 a)
(* a (- 2 (* 12 (/ 1 a))))
(* a (- 2 (* 12 (/ 1 a))))
(* a (- 2 (* 12 (/ 1 a))))
(* 2 a)
(* -1 (* a (- (* 12 (/ 1 a)) 2)))
(* -1 (* a (- (* 12 (/ 1 a)) 2)))
(* -1 (* a (- (* 12 (/ 1 a)) 2)))
(* 4 b)
(* 4 b)
(* 4 b)
(* 4 b)
(* 4 b)
(* 4 b)
(* 4 b)
(* 4 b)
(* 4 b)
(* 4 b)
(* 4 b)
(* 4 b)
-1
(- (* 4 (pow a 2)) 1)
(- (* (pow a 2) (+ 4 (* 4 a))) 1)
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))) (/ 1 (pow a 4))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4) a))))
Outputs
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal -1 binary64))
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -1 binary64)))
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -1 binary64)))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
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(fma.f64 #s(literal 4 binary64) a (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))
(+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))
(fma.f64 a (+.f64 #s(literal 4 binary64) a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))
(+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))
(fma.f64 a (+.f64 #s(literal 4 binary64) a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(fma.f64 a a (*.f64 (*.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)))
(* (pow a 2) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(fma.f64 (*.f64 a a) (+.f64 (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 a a))) (*.f64 (*.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)))
(* (pow a 2) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(fma.f64 (*.f64 a a) (+.f64 (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 a a))) (*.f64 (*.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(fma.f64 a a (*.f64 (*.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)))
(* (pow a 2) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(*.f64 a (fma.f64 a (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a) a))
(* (pow a 2) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(*.f64 a (fma.f64 a (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a) a))
(+ 4 (* a (+ 4 a)))
(fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))
(+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))
(fma.f64 a (+.f64 #s(literal 4 binary64) a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))
(+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))
(fma.f64 a (+.f64 #s(literal 4 binary64) a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))
(+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))
(fma.f64 a (+.f64 #s(literal 4 binary64) a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))
(* 2 (pow b 2))
(*.f64 b (*.f64 b #s(literal 2 binary64)))
(* (pow b 2) (+ 2 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (+ 4 a)) (pow b 2)))))
(fma.f64 (*.f64 b b) (fma.f64 (+.f64 #s(literal 4 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 2 binary64)) #s(literal 4 binary64))
(* (pow b 2) (+ 2 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (+ 4 a)) (pow b 2)))))
(fma.f64 (*.f64 b b) (fma.f64 (+.f64 #s(literal 4 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 2 binary64)) #s(literal 4 binary64))
(* (pow b 2) (+ 2 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (+ 4 a)) (pow b 2)))))
(fma.f64 (*.f64 b b) (fma.f64 (+.f64 #s(literal 4 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 2 binary64)) #s(literal 4 binary64))
(* 2 (pow b 2))
(*.f64 b (*.f64 b #s(literal 2 binary64)))
(* (pow b 2) (+ 2 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (+ 4 a)) (pow b 2)))))
(fma.f64 (*.f64 b b) (fma.f64 (+.f64 #s(literal 4 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 2 binary64)) #s(literal 4 binary64))
(* (pow b 2) (+ 2 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (+ 4 a)) (pow b 2)))))
(fma.f64 (*.f64 b b) (fma.f64 (+.f64 #s(literal 4 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 2 binary64)) #s(literal 4 binary64))
(* (pow b 2) (+ 2 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (+ 4 a)) (pow b 2)))))
(fma.f64 (*.f64 b b) (fma.f64 (+.f64 #s(literal 4 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 2 binary64)) #s(literal 4 binary64))
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64))
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1)
(fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64))) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64)))
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1)
(fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64))) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64)))
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1)
(fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64))) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64)))
(* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))
(*.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64))))
(* (pow b 2) (- (+ 4 (+ (* a (- (* 2 a) 12)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))) (/ 1 (pow b 2))))
(fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64))) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64)))
(* (pow b 2) (- (+ 4 (+ (* a (- (* 2 a) 12)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))) (/ 1 (pow b 2))))
(fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64))) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64)))
(* (pow b 2) (- (+ 4 (+ (* a (- (* 2 a) 12)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))) (/ 1 (pow b 2))))
(fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64))) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64)))
(* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))
(*.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64))))
(* (pow b 2) (- (+ 4 (+ (* a (- (* 2 a) 12)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))) (/ 1 (pow b 2))))
(fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64))) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64)))
(* (pow b 2) (- (+ 4 (+ (* a (- (* 2 a) 12)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))) (/ 1 (pow b 2))))
(fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64))) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64)))
(* (pow b 2) (- (+ 4 (+ (* a (- (* 2 a) 12)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))) (/ 1 (pow b 2))))
(fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64))) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64)))
(- (* 4 (pow b 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))
(- (+ (* -12 (* a (pow b 2))) (* 4 (pow b 2))) 1)
(fma.f64 (*.f64 b b) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) #s(literal -1 binary64))
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))))) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 a a) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a))))))) 1)
(fma.f64 (*.f64 b b) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 1 binary64))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 1 binary64))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64)) a)) a)))
4
#s(literal 4 binary64)
(+ 4 (* -12 a))
(fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))
(+ 4 (* a (- (* 2 a) 12)))
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64))
(+ 4 (* a (- (* 2 a) 12)))
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64))
(* 2 (pow a 2))
(*.f64 #s(literal 2 binary64) (*.f64 a a))
(* (pow a 2) (- 2 (* 12 (/ 1 a))))
(*.f64 (*.f64 a a) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)))
(* (pow a 2) (- (+ 2 (/ 4 (pow a 2))) (* 12 (/ 1 a))))
(*.f64 (*.f64 a a) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -12 binary64)) a)))
(* (pow a 2) (- (+ 2 (/ 4 (pow a 2))) (* 12 (/ 1 a))))
(*.f64 (*.f64 a a) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -12 binary64)) a)))
(* 2 (pow a 2))
(*.f64 #s(literal 2 binary64) (*.f64 a a))
(* (pow a 2) (- 2 (* 12 (/ 1 a))))
(*.f64 (*.f64 a a) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)))
(* (pow a 2) (+ 2 (* -1 (/ (- 12 (* 4 (/ 1 a))) a))))
(*.f64 (*.f64 a a) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -12 binary64)) a)))
(* (pow a 2) (+ 2 (* -1 (/ (- 12 (* 4 (/ 1 a))) a))))
(*.f64 (*.f64 a a) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -12 binary64)) a)))
-12
#s(literal -12 binary64)
(- (* 2 a) 12)
(fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64))
(- (* 2 a) 12)
(fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64))
(- (* 2 a) 12)
(fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64))
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* a (- 2 (* 12 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)))
(* a (- 2 (* 12 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)))
(* a (- 2 (* 12 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)))
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* -1 (* a (- (* 12 (/ 1 a)) 2)))
(*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)))
(* -1 (* a (- (* 12 (/ 1 a)) 2)))
(*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)))
(* -1 (* a (- (* 12 (/ 1 a)) 2)))
(*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)))
(* 4 b)
(*.f64 #s(literal 4 binary64) b)
(* 4 b)
(*.f64 #s(literal 4 binary64) b)
(* 4 b)
(*.f64 #s(literal 4 binary64) b)
(* 4 b)
(*.f64 #s(literal 4 binary64) b)
(* 4 b)
(*.f64 #s(literal 4 binary64) b)
(* 4 b)
(*.f64 #s(literal 4 binary64) b)
(* 4 b)
(*.f64 #s(literal 4 binary64) b)
(* 4 b)
(*.f64 #s(literal 4 binary64) b)
(* 4 b)
(*.f64 #s(literal 4 binary64) b)
(* 4 b)
(*.f64 #s(literal 4 binary64) b)
(* 4 b)
(*.f64 #s(literal 4 binary64) b)
(* 4 b)
(*.f64 #s(literal 4 binary64) b)
-1
#s(literal -1 binary64)
(- (* 4 (pow a 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(- (* (pow a 2) (+ 4 (* 4 a))) 1)
(fma.f64 a (*.f64 a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 1 binary64)))
(* (pow a 4) (- (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))) (/ 1 (pow a 4))))
(fma.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 1 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4) a))))
(fma.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 1 binary64)) #s(literal -1 binary64))

eval152.0ms (1.1%)

Memory
38.3MiB live, 344.1MiB allocated
Compiler

Compiled 62 991 to 2 623 computations (95.8% saved)

prune143.0ms (1.1%)

Memory
-27.8MiB live, 343.9MiB allocated
Pruning

24 alts after pruning (18 fresh and 6 done)

PrunedKeptTotal
New1 110121 122
Fresh9615
Picked235
Done033
Total1 121241 145
Accuracy
100.0%
Counts
1 145 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.4%
(fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64)))))
98.0%
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))
91.5%
(fma.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a) (fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) b) b (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))))
71.8%
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
77.3%
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))
78.6%
(fma.f64 (*.f64 b b) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))
28.3%
(fma.f64 (*.f64 b b) (/.f64 (fma.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 64 binary64)) (-.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal 16 binary64)) (*.f64 b (*.f64 b #s(literal 4 binary64))))) #s(literal -1 binary64))
71.6%
(fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -1 binary64))
69.7%
(fma.f64 (*.f64 b b) (*.f64 #s(literal 2 binary64) (*.f64 a a)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))
49.7%
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
63.8%
(fma.f64 (*.f64 a (*.f64 a a)) a #s(literal -1 binary64))
65.4%
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
52.1%
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
57.8%
(-.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal -12 binary64) a) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a)))) #s(literal 4 binary64))) #s(literal 1 binary64))
71.5%
(-.f64 (*.f64 (*.f64 a a) (-.f64 (fma.f64 b (+.f64 b b) #s(literal 4 binary64)) (/.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 12 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) a))) a))) #s(literal 1 binary64))
53.1%
(*.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) (*.f64 b (*.f64 b #s(literal 2 binary64)))))
43.3%
(*.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))
31.5%
(*.f64 (*.f64 a a) (/.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal -16 binary64)) (-.f64 #s(literal 4 binary64) a) (*.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal -4 binary64)) (*.f64 (-.f64 #s(literal 16 binary64) (*.f64 a a)) a))) (*.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal -4 binary64)) (-.f64 #s(literal 4 binary64) a))))
42.5%
(*.f64 (*.f64 a a) (*.f64 a a))
50.3%
(*.f64 b (*.f64 b (*.f64 b b)))
43.3%
(*.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))))
42.5%
(*.f64 a (*.f64 a (*.f64 a a)))
30.5%
(*.f64 #s(literal 4 binary64) (*.f64 a a))
22.8%
#s(literal -1 binary64)
Compiler

Compiled 1 572 to 420 computations (73.3% saved)

regimes79.0ms (0.6%)

Memory
19.9MiB live, 176.4MiB allocated
Counts
54 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
(*.f64 #s(literal 4 binary64) (*.f64 a a))
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
(*.f64 a (*.f64 a (*.f64 a a)))
(*.f64 b (*.f64 b (*.f64 b b)))
(*.f64 (*.f64 a a) (*.f64 a a))
(fma.f64 (*.f64 a (*.f64 a a)) a #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(-.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1 binary64))
(*.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))))
(*.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))
(*.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) (*.f64 b (*.f64 b #s(literal 2 binary64)))))
(*.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))))
(fma.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) a (*.f64 (*.f64 b b) #s(literal 0 binary64)))
(fma.f64 (*.f64 b b) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))
(-.f64 (fma.f64 a (*.f64 a (fma.f64 b (+.f64 b b) #s(literal 4 binary64))) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))) #s(literal 1 binary64))
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 (*.f64 b b) (*.f64 a (+.f64 a a))))
(fma.f64 (*.f64 b b) (*.f64 #s(literal 2 binary64) (*.f64 a a)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (*.f64 a (+.f64 a a)) #s(literal -1 binary64)))
(fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64)))))
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))
(fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64)))))
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))
(-.f64 (fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) a (fma.f64 b (*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))) #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64))))))
(fma.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a) (fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) b) b (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 a a))) #s(literal -1 binary64)))
(fma.f64 (fma.f64 a a (*.f64 b b)) (/.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (+.f64 a b)) (+.f64 a b)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))
(-.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal -12 binary64) a) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a)))) #s(literal 4 binary64))) #s(literal 1 binary64))
(-.f64 (*.f64 (*.f64 a a) (-.f64 (fma.f64 b (+.f64 b b) #s(literal 4 binary64)) (/.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 12 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) a))) a))) #s(literal 1 binary64))
(fma.f64 (*.f64 b b) (/.f64 (fma.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 64 binary64)) (-.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal 16 binary64)) (*.f64 b (*.f64 b #s(literal 4 binary64))))) #s(literal -1 binary64))
(fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (+.f64 a b)) (/.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (-.f64 a b)) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))
(*.f64 (*.f64 a a) (/.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal -16 binary64)) (-.f64 #s(literal 4 binary64) a) (*.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal -4 binary64)) (*.f64 (-.f64 #s(literal 16 binary64) (*.f64 a a)) a))) (*.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal -4 binary64)) (-.f64 #s(literal 4 binary64) a))))
(pow.f64 a #s(literal 4 binary64))
(fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))) #s(literal -1 binary64)))
(fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 (*.f64 b b) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (fma.f64 a (*.f64 (fma.f64 a a a) #s(literal 4 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (+.f64 a b)) (/.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (-.f64 a b)) (fma.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))) #s(literal -1 binary64)))
(-.f64 (+.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 (+.f64 a b) (-.f64 a b)))) (fma.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))) #s(literal -1 binary64)))
Outputs
(+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64))))))
(fma.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (+.f64 a b)) (/.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (-.f64 a b)) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))
Calls

5 calls:

18.0ms
(+.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))))))
16.0ms
a
15.0ms
b
15.0ms
(*.f64 b b)
12.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
98.2%1a
99.9%2b
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))))))
99.9%2(*.f64 b b)
Compiler

Compiled 75 to 44 computations (41.3% saved)

regimes50.0ms (0.4%)

Memory
-10.9MiB live, 111.8MiB allocated
Counts
45 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
(*.f64 #s(literal 4 binary64) (*.f64 a a))
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
(*.f64 a (*.f64 a (*.f64 a a)))
(*.f64 b (*.f64 b (*.f64 b b)))
(*.f64 (*.f64 a a) (*.f64 a a))
(fma.f64 (*.f64 a (*.f64 a a)) a #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(-.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1 binary64))
(*.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))))
(*.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))
(*.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) (*.f64 b (*.f64 b #s(literal 2 binary64)))))
(*.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))))
(fma.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) a (*.f64 (*.f64 b b) #s(literal 0 binary64)))
(fma.f64 (*.f64 b b) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))
(-.f64 (fma.f64 a (*.f64 a (fma.f64 b (+.f64 b b) #s(literal 4 binary64))) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))) #s(literal 1 binary64))
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 (*.f64 b b) (*.f64 a (+.f64 a a))))
(fma.f64 (*.f64 b b) (*.f64 #s(literal 2 binary64) (*.f64 a a)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (*.f64 a (+.f64 a a)) #s(literal -1 binary64)))
(fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64)))))
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))
(fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64)))))
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))
(-.f64 (fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) a (fma.f64 b (*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))) #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64))))))
(fma.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a) (fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) b) b (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 a a))) #s(literal -1 binary64)))
(fma.f64 (fma.f64 a a (*.f64 b b)) (/.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (+.f64 a b)) (+.f64 a b)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))
(-.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal -12 binary64) a) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a)))) #s(literal 4 binary64))) #s(literal 1 binary64))
(-.f64 (*.f64 (*.f64 a a) (-.f64 (fma.f64 b (+.f64 b b) #s(literal 4 binary64)) (/.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 12 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) a))) a))) #s(literal 1 binary64))
(fma.f64 (*.f64 b b) (/.f64 (fma.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 64 binary64)) (-.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal 16 binary64)) (*.f64 b (*.f64 b #s(literal 4 binary64))))) #s(literal -1 binary64))
(fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
Outputs
(+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64))))))
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))
Calls

4 calls:

13.0ms
b
12.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
12.0ms
(-.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))
11.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
99.9%2b
99.9%2(*.f64 b b)
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))))))
Compiler

Compiled 72 to 42 computations (41.7% saved)

regimes40.0ms (0.3%)

Memory
-6.8MiB live, 72.0MiB allocated
Counts
36 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
(*.f64 #s(literal 4 binary64) (*.f64 a a))
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
(*.f64 a (*.f64 a (*.f64 a a)))
(*.f64 b (*.f64 b (*.f64 b b)))
(*.f64 (*.f64 a a) (*.f64 a a))
(fma.f64 (*.f64 a (*.f64 a a)) a #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(-.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1 binary64))
(*.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))))
(*.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))
(*.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) (*.f64 b (*.f64 b #s(literal 2 binary64)))))
(*.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))))
(fma.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) a (*.f64 (*.f64 b b) #s(literal 0 binary64)))
(fma.f64 (*.f64 b b) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))
(-.f64 (fma.f64 a (*.f64 a (fma.f64 b (+.f64 b b) #s(literal 4 binary64))) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))) #s(literal 1 binary64))
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 (*.f64 b b) (*.f64 a (+.f64 a a))))
(fma.f64 (*.f64 b b) (*.f64 #s(literal 2 binary64) (*.f64 a a)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (*.f64 a (+.f64 a a)) #s(literal -1 binary64)))
(fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64)))))
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))
(fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64)))))
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))
(-.f64 (fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) a (fma.f64 b (*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))) #s(literal -1 binary64)))
Outputs
(fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
Calls

4 calls:

11.0ms
b
10.0ms
(*.f64 b b)
9.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 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
99.9%2b
99.8%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))
99.8%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))))))
99.9%2(*.f64 b b)
Compiler

Compiled 72 to 42 computations (41.7% saved)

regimes33.0ms (0.2%)

Memory
-14.7MiB live, 66.8MiB allocated
Counts
28 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
(*.f64 #s(literal 4 binary64) (*.f64 a a))
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
(*.f64 a (*.f64 a (*.f64 a a)))
(*.f64 b (*.f64 b (*.f64 b b)))
(*.f64 (*.f64 a a) (*.f64 a a))
(fma.f64 (*.f64 a (*.f64 a a)) a #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(-.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1 binary64))
(*.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))))
(*.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))
(*.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) (*.f64 b (*.f64 b #s(literal 2 binary64)))))
(*.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))))
(fma.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) a (*.f64 (*.f64 b b) #s(literal 0 binary64)))
(fma.f64 (*.f64 b b) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))
(-.f64 (fma.f64 a (*.f64 a (fma.f64 b (+.f64 b b) #s(literal 4 binary64))) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))) #s(literal 1 binary64))
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 (*.f64 b b) (*.f64 a (+.f64 a a))))
(fma.f64 (*.f64 b b) (*.f64 #s(literal 2 binary64) (*.f64 a a)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (*.f64 a (+.f64 a a)) #s(literal -1 binary64)))
Outputs
(fma.f64 (*.f64 b b) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
Calls

4 calls:

9.0ms
b
7.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
7.0ms
(*.f64 b b)
7.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
99.8%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))
99.8%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))))))
99.8%2b
99.8%2(*.f64 b b)
Compiler

Compiled 72 to 42 computations (41.7% saved)

regimes14.0ms (0.1%)

Memory
27.5MiB live, 27.5MiB allocated
Counts
23 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
(*.f64 #s(literal 4 binary64) (*.f64 a a))
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
(*.f64 a (*.f64 a (*.f64 a a)))
(*.f64 b (*.f64 b (*.f64 b b)))
(*.f64 (*.f64 a a) (*.f64 a a))
(fma.f64 (*.f64 a (*.f64 a a)) a #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(-.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1 binary64))
(*.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))))
(*.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))
(*.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) (*.f64 b (*.f64 b #s(literal 2 binary64)))))
(*.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))))
(fma.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) a (*.f64 (*.f64 b b) #s(literal 0 binary64)))
(fma.f64 (*.f64 b b) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))
(-.f64 (fma.f64 a (*.f64 a (fma.f64 b (+.f64 b b) #s(literal 4 binary64))) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))) #s(literal 1 binary64))
Outputs
(fma.f64 (*.f64 b b) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))
Calls

2 calls:

7.0ms
b
6.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
99.8%2b
99.8%2(*.f64 b b)
Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes33.0ms (0.2%)

Memory
-17.2MiB live, 61.1MiB allocated
Counts
21 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
(*.f64 #s(literal 4 binary64) (*.f64 a a))
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
(*.f64 a (*.f64 a (*.f64 a a)))
(*.f64 b (*.f64 b (*.f64 b b)))
(*.f64 (*.f64 a a) (*.f64 a a))
(fma.f64 (*.f64 a (*.f64 a a)) a #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(-.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1 binary64))
(*.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))))
(*.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))
(*.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) (*.f64 b (*.f64 b #s(literal 2 binary64)))))
(*.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))))
(fma.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) a (*.f64 (*.f64 b b) #s(literal 0 binary64)))
Outputs
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))
Calls

5 calls:

7.0ms
a
6.0ms
(*.f64 b b)
6.0ms
b
6.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
5.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
98.0%1a
99.6%2(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
99.6%2(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
99.6%2b
99.6%2(*.f64 b b)
Compiler

Compiled 75 to 44 computations (41.3% saved)

regimes28.0ms (0.2%)

Memory
12.0MiB live, 57.4MiB allocated
Counts
17 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
(*.f64 #s(literal 4 binary64) (*.f64 a a))
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
(*.f64 a (*.f64 a (*.f64 a a)))
(*.f64 b (*.f64 b (*.f64 b b)))
(*.f64 (*.f64 a a) (*.f64 a a))
(fma.f64 (*.f64 a (*.f64 a a)) a #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(-.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1 binary64))
(*.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))))
(*.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal -1 binary64))
Outputs
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal -1 binary64))
Calls

5 calls:

7.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
5.0ms
b
5.0ms
a
5.0ms
(*.f64 b b)
5.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
95.5%3a
89.8%3(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
89.8%3(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
98.4%2b
98.4%2(*.f64 b b)
Compiler

Compiled 75 to 44 computations (41.3% saved)

regimes12.0ms (0.1%)

Memory
-14.3MiB live, 25.1MiB allocated
Counts
16 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
(*.f64 #s(literal 4 binary64) (*.f64 a a))
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
(*.f64 a (*.f64 a (*.f64 a a)))
(*.f64 b (*.f64 b (*.f64 b b)))
(*.f64 (*.f64 a a) (*.f64 a a))
(fma.f64 (*.f64 a (*.f64 a a)) a #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(-.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1 binary64))
(*.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))))
(*.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
Outputs
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -1 binary64))
Calls

2 calls:

5.0ms
(*.f64 b b)
5.0ms
b
Results
AccuracySegmentsBranch
95.3%2b
95.3%2(*.f64 b b)
Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes15.0ms (0.1%)

Memory
-12.8MiB live, 26.6MiB allocated
Counts
14 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
(*.f64 #s(literal 4 binary64) (*.f64 a a))
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
(*.f64 a (*.f64 a (*.f64 a a)))
(*.f64 b (*.f64 b (*.f64 b b)))
(*.f64 (*.f64 a a) (*.f64 a a))
(fma.f64 (*.f64 a (*.f64 a a)) a #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(-.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1 binary64))
(*.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))))
(*.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))
Outputs
(*.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 a (*.f64 a (*.f64 a a)))
Calls

3 calls:

5.0ms
a
5.0ms
b
4.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
95.3%3a
93.6%2b
93.6%2(*.f64 b b)
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes5.0ms (0%)

Memory
10.6MiB live, 10.6MiB allocated
Counts
12 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
(*.f64 #s(literal 4 binary64) (*.f64 a a))
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
(*.f64 a (*.f64 a (*.f64 a a)))
(*.f64 b (*.f64 b (*.f64 b b)))
(*.f64 (*.f64 a a) (*.f64 a a))
(fma.f64 (*.f64 a (*.f64 a a)) a #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(-.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1 binary64))
Outputs
(*.f64 a (*.f64 a (*.f64 a a)))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 a (*.f64 a (*.f64 a a)))
Calls

1 calls:

4.0ms
a
Results
AccuracySegmentsBranch
95.3%3a
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory
23.7MiB live, 23.7MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
(*.f64 #s(literal 4 binary64) (*.f64 a a))
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
(*.f64 a (*.f64 a (*.f64 a a)))
(*.f64 b (*.f64 b (*.f64 b b)))
(*.f64 (*.f64 a a) (*.f64 a a))
(fma.f64 (*.f64 a (*.f64 a a)) a #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -1 binary64))
Outputs
(fma.f64 (*.f64 a (*.f64 a a)) a #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -1 binary64))
Calls

3 calls:

4.0ms
a
4.0ms
b
3.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
93.6%2b
93.6%2(*.f64 b b)
95.1%3a
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes8.0ms (0.1%)

Memory
-25.3MiB live, 14.3MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
(*.f64 #s(literal 4 binary64) (*.f64 a a))
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
(*.f64 a (*.f64 a (*.f64 a a)))
(*.f64 b (*.f64 b (*.f64 b b)))
(*.f64 (*.f64 a a) (*.f64 a a))
(fma.f64 (*.f64 a (*.f64 a a)) a #s(literal -1 binary64))
Outputs
(fma.f64 (*.f64 a (*.f64 a a)) a #s(literal -1 binary64))
(*.f64 b (*.f64 b (*.f64 b b)))
Calls

2 calls:

4.0ms
(*.f64 b b)
3.0ms
b
Results
AccuracySegmentsBranch
93.6%2b
93.6%2(*.f64 b b)
Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes16.0ms (0.1%)

Memory
-3.2MiB live, 38.3MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
(*.f64 #s(literal 4 binary64) (*.f64 a a))
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
(*.f64 a (*.f64 a (*.f64 a a)))
(*.f64 b (*.f64 b (*.f64 b b)))
(*.f64 (*.f64 a a) (*.f64 a a))
Outputs
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(*.f64 b (*.f64 b (*.f64 b b)))
Calls

5 calls:

4.0ms
(-.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
b
3.0ms
a
3.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
3.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
82.7%3(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
82.7%3(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
85.8%6a
87.2%2b
87.2%2(*.f64 b b)
Compiler

Compiled 75 to 44 computations (41.3% saved)

regimes13.0ms (0.1%)

Memory
31.3MiB live, 31.3MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
(*.f64 #s(literal 4 binary64) (*.f64 a a))
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
(*.f64 a (*.f64 a (*.f64 a a)))
Outputs
(*.f64 a (*.f64 a (*.f64 a a)))
(fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 a (*.f64 a (*.f64 a a)))
Calls

5 calls:

3.0ms
a
3.0ms
b
2.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
2.0ms
(*.f64 b b)
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))
Results
AccuracySegmentsBranch
79.5%3a
68.3%4(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
68.3%4(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
74.6%3b
74.6%3(*.f64 b b)
Compiler

Compiled 75 to 44 computations (41.3% saved)

regimes8.0ms (0.1%)

Memory
-22.3MiB live, 17.3MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
(*.f64 #s(literal 4 binary64) (*.f64 a a))
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
Outputs
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))
Calls

3 calls:

3.0ms
a
2.0ms
b
2.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
70.6%2b
70.6%2(*.f64 b b)
70.8%3a
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes9.0ms (0.1%)

Memory
20.3MiB live, 20.3MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
(*.f64 #s(literal 4 binary64) (*.f64 a a))
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
Outputs
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
Calls

5 calls:

2.0ms
a
2.0ms
b
2.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
2.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
2.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
52.1%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))
52.1%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))))))
52.1%1a
52.1%1b
52.1%1(*.f64 b b)
Compiler

Compiled 75 to 44 computations (41.3% saved)

regimes8.0ms (0.1%)

Memory
-21.5MiB live, 18.1MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
(*.f64 #s(literal 4 binary64) (*.f64 a a))
Outputs
#s(literal -1 binary64)
(*.f64 #s(literal 4 binary64) (*.f64 a a))
Calls

5 calls:

2.0ms
b
2.0ms
a
2.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
1.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
1.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
51.8%3a
38.8%2b
38.8%2(*.f64 b b)
52.2%2(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
52.2%2(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
Compiler

Compiled 75 to 44 computations (41.3% saved)

regimes7.0ms (0%)

Memory
17.8MiB live, 17.8MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

5 calls:

1.0ms
a
1.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
1.0ms
b
1.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
1.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
22.8%1(*.f64 b b)
22.8%1b
22.8%1a
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 75 to 44 computations (41.3% saved)

bsearch1.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
9.743043231377432e+286
1.9603574848330126e+294
Compiler

Compiled 36 to 25 computations (30.6% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.4973446527527847e+64
8.075827561542284e+70
Compiler

Compiled 36 to 25 computations (30.6% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.13168567282621e-8
2.7726992215738786e-7
Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.13168567282621e-8
2.7726992215738786e-7
Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.7726992215738786e-7
85010123.67763615
Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.13168567282621e-8
2.7726992215738786e-7
Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
8269628780780908.0
754174912161065500.0
Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.2368599144501147e+21
2.8418000565737e+35
Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch40.0ms (0.3%)

Memory
-37.1MiB live, 82.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
7.713661602867437e+43
1.778776876177719e+53
16.0ms
-59.3524180800234
-0.09661279939489793
Samples
25.0ms272×0valid
Compiler

Compiled 434 to 277 computations (36.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 9.0ms (47.9% of total)
ival-add: 4.0ms (21.3% of total)
ival-sub: 2.0ms (10.7% of total)
ival-pow2: 2.0ms (10.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch41.0ms (0.3%)

Memory
10.4MiB live, 89.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
7.713661602867437e+43
1.778776876177719e+53
18.0ms
-7.482366983322142e+78
-3.999568809503497e+69
Samples
27.0ms288×0valid
Compiler

Compiled 432 to 275 computations (36.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 10.0ms (50% of total)
ival-add: 5.0ms (25% of total)
ival-pow2: 3.0ms (15% of total)
ival-sub: 2.0ms (10% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.2368599144501147e+21
2.8418000565737e+35
Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.2368599144501147e+21
2.8418000565737e+35
Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.2368599144501147e+21
2.8418000565737e+35
Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch41.0ms (0.3%)

Memory
-7.1MiB live, 73.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
10.658497468287788
56149797.08466989
15.0ms
-59.3524180800234
-0.09661279939489793
Samples
26.0ms272×0valid
Compiler

Compiled 359 to 244 computations (32% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 9.0ms (45.2% of total)
ival-sub: 4.0ms (20.1% of total)
ival-add: 4.0ms (20.1% of total)
ival-pow2: 2.0ms (10.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.0159288281904242e+303
+inf
Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.817718145239138e-6
11587247.968932059
Compiler

Compiled 36 to 25 computations (30.6% saved)

simplify15.0ms (0.1%)

Memory
25.4MiB live, 25.4MiB allocated
Algorithm
egg-herbie
Rules
40×*-commutative_binary64
26×+-commutative_binary64
12×sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0108588
1147588
2160588
3168588
4173588
5174588
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 100000000000000007525217352494018719361427080482583638519254439706352434301546571002539107639662119923939220917551527141401041968172205589677021287693862203915638886974287199071604654071266769099226071211897966340736882502910990345434353553680702253338428636675464684849307718019341877248 binary64)) (+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64)))))) (fma.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (+.f64 a b)) (/.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (-.f64 a b)) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 49999999999999999604519313141816925411378060847115227682784149504 binary64)) (+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64)))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))
(if (<=.f64 (*.f64 b b) #s(literal 944473296573929/9444732965739290427392 binary64)) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 944473296573929/9444732965739290427392 binary64)) (fma.f64 (*.f64 b b) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 4722366482869645/9444732965739290427392 binary64)) (fma.f64 (*.f64 b b) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))
(if (<=.f64 (*.f64 b b) #s(literal 944473296573929/9444732965739290427392 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))
(if (<=.f64 (*.f64 b b) #s(literal 10000000000000000 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal -1 binary64)))
(if (<=.f64 (*.f64 b b) #s(literal 4000000000000000000000 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -1 binary64)))
(if (<=.f64 a #s(literal -59 binary64)) (*.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))) (if (<=.f64 a #s(literal 139999999999999989912490343389331290490965642444800 binary64)) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))))
(if (<=.f64 a #s(literal -8500000000000000233393324026526283982759425694418140717220005775671296 binary64)) (*.f64 a (*.f64 a (*.f64 a a))) (if (<=.f64 a #s(literal 155000000000000002739623751256476505178827128832 binary64)) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))))
(if (<=.f64 (*.f64 b b) #s(literal 4000000000000000000000 binary64)) (fma.f64 (*.f64 a (*.f64 a a)) a #s(literal -1 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -1 binary64)))
(if (<=.f64 (*.f64 b b) #s(literal 4000000000000000000000 binary64)) (fma.f64 (*.f64 a (*.f64 a a)) a #s(literal -1 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))
(if (<=.f64 (*.f64 b b) #s(literal 4000000000000000000000 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))
(if (<=.f64 a #s(literal -40 binary64)) (*.f64 a (*.f64 a (*.f64 a a))) (if (<=.f64 a #s(literal 380000 binary64)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))))
(if (<=.f64 (*.f64 b b) #s(literal 4000000000000000000647060307145825752850674584926637753181980068404469996902954991461040972136855661015119094272721349664109783282271116798573566166424104274444602984489139904709026600176802109107229308270761848450645710000788204905959593042715053565797504354189169283256511829945322621875676489053110272 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 5902958103587057/1180591620717411303424 binary64)) #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 a a)))
#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 100000000000000007525217352494018719361427080482583638519254439706352434301546571002539107639662119923939220917551527141401041968172205589677021287693862203915638886974287199071604654071266769099226071211897966340736882502910990345434353553680702253338428636675464684849307718019341877248 binary64)) (+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64)))))) (fma.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (+.f64 a b)) (/.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (-.f64 a b)) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 a #s(literal 1 binary64))) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 a #s(literal 3 binary64))))))) #s(literal 100000000000000007525217352494018719361427080482583638519254439706352434301546571002539107639662119923939220917551527141401041968172205589677021287693862203915638886974287199071604654071266769099226071211897966340736882502910990345434353553680702253338428636675464684849307718019341877248 binary64)) (+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64)))))) (fma.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (+.f64 a b)) (/.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (-.f64 a b)) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 49999999999999999604519313141816925411378060847115227682784149504 binary64)) (+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64)))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 a #s(literal 1 binary64))) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 a #s(literal 3 binary64))))))) #s(literal 49999999999999999604519313141816925411378060847115227682784149504 binary64)) (+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64)))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))
(if (<=.f64 (*.f64 b b) #s(literal 944473296573929/9444732965739290427392 binary64)) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 944473296573929/9444732965739290427392 binary64)) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 944473296573929/9444732965739290427392 binary64)) (fma.f64 (*.f64 b b) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 944473296573929/9444732965739290427392 binary64)) (fma.f64 (*.f64 b b) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 4722366482869645/9444732965739290427392 binary64)) (fma.f64 (*.f64 b b) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))
(if (<=.f64 (*.f64 b b) #s(literal 4722366482869645/9444732965739290427392 binary64)) (fma.f64 (*.f64 b b) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))
(if (<=.f64 (*.f64 b b) #s(literal 944473296573929/9444732965739290427392 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))
(if (<=.f64 (*.f64 b b) #s(literal 944473296573929/9444732965739290427392 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))
(if (<=.f64 (*.f64 b b) #s(literal 10000000000000000 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal -1 binary64)))
(if (<=.f64 (*.f64 b b) #s(literal 10000000000000000 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal -1 binary64)))
(if (<=.f64 (*.f64 b b) #s(literal 4000000000000000000000 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -1 binary64)))
(if (<=.f64 (*.f64 b b) #s(literal 4000000000000000000000 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -1 binary64)))
(if (<=.f64 a #s(literal -59 binary64)) (*.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))) (if (<=.f64 a #s(literal 139999999999999989912490343389331290490965642444800 binary64)) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))))
(if (<=.f64 a #s(literal -59 binary64)) (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) (if (<=.f64 a #s(literal 139999999999999989912490343389331290490965642444800 binary64)) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))))
(if (<=.f64 a #s(literal -8500000000000000233393324026526283982759425694418140717220005775671296 binary64)) (*.f64 a (*.f64 a (*.f64 a a))) (if (<=.f64 a #s(literal 155000000000000002739623751256476505178827128832 binary64)) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))))
(if (<=.f64 (*.f64 b b) #s(literal 4000000000000000000000 binary64)) (fma.f64 (*.f64 a (*.f64 a a)) a #s(literal -1 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -1 binary64)))
(if (<=.f64 (*.f64 b b) #s(literal 4000000000000000000000 binary64)) (fma.f64 (*.f64 a (*.f64 a a)) a #s(literal -1 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))
(if (<=.f64 (*.f64 b b) #s(literal 4000000000000000000000 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))
(if (<=.f64 a #s(literal -40 binary64)) (*.f64 a (*.f64 a (*.f64 a a))) (if (<=.f64 a #s(literal 380000 binary64)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))))
(if (<=.f64 (*.f64 b b) #s(literal 4000000000000000000647060307145825752850674584926637753181980068404469996902954991461040972136855661015119094272721349664109783282271116798573566166424104274444602984489139904709026600176802109107229308270761848450645710000788204905959593042715053565797504354189169283256511829945322621875676489053110272 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 5902958103587057/1180591620717411303424 binary64)) #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 a a)))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 a #s(literal 1 binary64))) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 a #s(literal 3 binary64))))))) #s(literal 5902958103587057/1180591620717411303424 binary64)) #s(literal -1 binary64) (*.f64 (*.f64 a a) #s(literal 4 binary64)))
#s(literal -1 binary64)

soundness2.1s (15.5%)

Memory
11.3MiB live, 1 078.7MiB allocated
Rules
22 048×accelerator-lowering-fma.f32
22 048×accelerator-lowering-fma.f64
19 340×accelerator-lowering-fma.f32
19 340×accelerator-lowering-fma.f64
13 086×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05084534
116694392
253434300
081693971
02032682
16582648
219502584
356242494
082362236
050284
1392246
24204240
09686206
05034976
115874750
250164496
082154103
042249
1323205
23710173
08933151
019102
1132102
21240102
0823582
01852332
16002246
218372184
358192098
081701858
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 1 359 to 514 computations (62.2% saved)

preprocess98.0ms (0.7%)

Memory
-6.1MiB live, 230.5MiB allocated
Remove

(abs b)

Compiler

Compiled 1 460 to 334 computations (77.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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