Bouland and Aaronson, Equation (25)

Time bar (total: 11.5s)

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 33 to 20 computations (39.4% saved)

sample1.3s (11.3%)

Memory
37.9MiB live, 2 401.1MiB allocated
Samples
966.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 786.0ms
ival-mult: 330.0ms (42% of total)
ival-add: 231.0ms (29.4% of total)
ival-pow2: 122.0ms (15.5% of total)
ival-sub: 84.0ms (10.7% of total)
exact: 10.0ms (1.3% of total)
ival-true: 6.0ms (0.8% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

preprocess774.0ms (6.7%)

Memory
-12.9MiB live, 735.6MiB 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)

explain624.0ms (5.4%)

Memory
35.0MiB live, 549.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
480-0-(+.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))))))
180-0-(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))
160-0-(*.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-rescue480
(*.f64 b b)overflow52
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))overflow156
(*.f64 a a)overflow46
(+.f64 (*.f64 a a) (*.f64 b b))overflow94
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))overflow1
(*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a))overflow77
(*.f64 a a)overflow46
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))overflow62
(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))overflow121
(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))overflow122
(*.f64 #s(literal 3 binary64) a)overflow1
(*.f64 b b)overflow52
+.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-rescue180
(*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a))overflow77
(*.f64 a a)overflow46
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))overflow1
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))overflow62
(*.f64 #s(literal 3 binary64) a)overflow1
(*.f64 b b)overflow52
*.f64(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))n*o10
Confusion
Predicted +Predicted -
+580
-0198
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+5800
-00198
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0198
149
29
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
58.0ms476×0valid
6.0ms26×1valid
3.0ms10×2valid
Compiler

Compiled 372 to 80 computations (78.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-mult: 17.0ms (41.5% of total)
ival-add: 9.0ms (22% of total)
ival-sub: 6.0ms (14.7% of total)
ival-pow2: 5.0ms (12.2% of total)
adjust: 2.0ms (4.9% of total)
exact: 1.0ms (2.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.2%
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
Compiler

Compiled 33 to 19 computations (42.4% saved)

simplify684.0ms (5.9%)

Memory
-65.4MiB live, 951.3MiB 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)

localize74.0ms (0.6%)

Memory
-0.6MiB live, 170.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
accuracy94.0%
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))
accuracy93.8%
(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))
accuracy85.0%
(+.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))))))
Samples
45.0ms238×0valid
3.0ms13×1valid
2.0ms2valid
Compiler

Compiled 153 to 21 computations (86.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-mult: 26.0ms (66.7% of total)
ival-add: 5.0ms (12.8% of total)
ival-pow2: 4.0ms (10.3% of total)
ival-sub: 2.0ms (5.1% 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)

series12.0ms (0.1%)

Memory
-9.2MiB live, 32.3MiB 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
2.0ms
b
@0
(pow (+ (* a a) (* b b)) 2)
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
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))))))

rewrite401.0ms (3.5%)

Memory
8.2MiB live, 798.4MiB 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)))
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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))))

simplify439.0ms (3.8%)

Memory
4.4MiB live, 795.2MiB 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))

eval106.0ms (0.9%)

Memory
3.2MiB live, 239.5MiB allocated
Compiler

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

prune93.0ms (0.8%)

Memory
9.2MiB live, 207.1MiB allocated
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New66915684
Fresh000
Picked101
Done000
Total67015685
Accuracy
100.0%
Counts
685 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
19.4%
(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)))) (fma.f64 a a (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a)))) (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)))
45.9%
(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)))
67.4%
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
67.3%
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
79.0%
(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)))
15.3%
(-.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))) (-.f64 (*.f64 a (fma.f64 a a a)) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))))) #s(literal 4 binary64)) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (-.f64 (*.f64 a (fma.f64 a a a)) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))) (*.f64 (*.f64 (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 (fma.f64 a a a)) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b))))) #s(literal 1 binary64))
77.2%
(-.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.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))
77.2%
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
60.9%
(-.f64 (+.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
66.3%
(-.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1 binary64))
35.0%
(*.f64 (fma.f64 (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (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))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal 1 binary64)))))
51.1%
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)))
43.6%
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
43.3%
(*.f64 b (*.f64 b (*.f64 b b)))
43.0%
(*.f64 a (*.f64 a (*.f64 a a)))
Compiler

Compiled 1 132 to 446 computations (60.6% saved)

simplify245.0ms (2.1%)

Memory
-15.9MiB live, 400.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 b b)
cost-diff0
(fma.f64 a a (*.f64 b b))
cost-diff0
(*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))))
cost-diff2752
(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)))
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))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)))
cost-diff0
(*.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
(fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))
cost-diff0
(fma.f64 b b #s(literal 4 binary64))
cost-diff0
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
cost-diff320
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))
Rules
9 898×accelerator-lowering-fma.f32
9 898×accelerator-lowering-fma.f64
3 598×*-lowering-*.f32
3 598×*-lowering-*.f64
2 364×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051407
1155395
2511377
32377377
47191377
08125336
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (* b (* b (+ (* b b) 4))) (+ (* a (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))) -1))
b
(* b (+ (* b b) 4))
(+ (* b b) 4)
4
(+ (* a (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))) -1)
a
(+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))
(* b b)
(+ (* 2 a) -12)
2
-12
(* 4 a)
-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))) (- 1 (/ (- -4 (/ (+ (* b (* b 2)) 4) a)) a)))
(* a (* a (* a a)))
a
(* a (* a a))
(* a a)
(- 1 (/ (- -4 (/ (+ (* b (* b 2)) 4) a)) a))
1
(/ (- -4 (/ (+ (* b (* b 2)) 4) a)) a)
(- -4 (/ (+ (* b (* b 2)) 4) a))
-4
(/ (+ (* b (* b 2)) 4) a)
(+ (* b (* b 2)) 4)
b
(* b 2)
2
4
(+ (* (* (+ (* a a) (* b b)) (* (+ (* a a) (* b b)) (* (+ a b) (- a b)))) (/ 1 (* (+ a b) (- a b)))) (+ (* 4 (+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a)))) -1))
(* (+ (* a a) (* b b)) (* (+ (* a a) (* b b)) (* (+ a b) (- a b))))
(+ (* a a) (* b b))
a
(* b b)
b
(* (+ (* a a) (* b b)) (* (+ a b) (- a b)))
(* (+ a b) (- a b))
(+ a b)
(- a b)
(/ 1 (* (+ a b) (- a b)))
1
(+ (* 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
(* a (+ (* a a) a))
(+ (* a a) a)
-1
Outputs
(+ (* b (* b (+ (* b b) 4))) (+ (* a (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))) -1))
(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))) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)))
b
(* b (+ (* b b) 4))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(+ (* b b) 4)
(fma.f64 b b #s(literal 4 binary64))
4
#s(literal 4 binary64)
(+ (* a (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))) -1)
(fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 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 #s(literal 4 binary64) a))
(* b b)
(*.f64 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 #s(literal 4 binary64) a)
-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))) (- 1 (/ (- -4 (/ (+ (* b (* b 2)) 4) a)) a)))
(*.f64 (*.f64 a (*.f64 a a)) (fma.f64 a (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a) a))
(* a (* a (* a a)))
(*.f64 a (*.f64 a (*.f64 a a)))
a
(* a (* a a))
(*.f64 a (*.f64 a a))
(* a a)
(*.f64 a a)
(- 1 (/ (- -4 (/ (+ (* b (* b 2)) 4) a)) a))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a))
1
#s(literal 1 binary64)
(/ (- -4 (/ (+ (* b (* b 2)) 4) a)) a)
(/.f64 (+.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal -2 binary64) #s(literal -4 binary64)) a)) a)
(- -4 (/ (+ (* b (* b 2)) 4) a))
(+.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal -2 binary64) #s(literal -4 binary64)) a))
-4
#s(literal -4 binary64)
(/ (+ (* b (* b 2)) 4) a)
(/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)
(+ (* b (* b 2)) 4)
(fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))
b
(* b 2)
(*.f64 b #s(literal 2 binary64))
2
#s(literal 2 binary64)
4
#s(literal 4 binary64)
(+ (* (* (+ (* a a) (* b b)) (* (+ (* a a) (* b b)) (* (+ a b) (- a b)))) (/ 1 (* (+ a b) (- a b)))) (+ (* 4 (+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a)))) -1))
(fma.f64 #s(literal 4 binary64) (fma.f64 a (fma.f64 (*.f64 b b) #s(literal -3 binary64) (fma.f64 a a a)) (*.f64 b b)) (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 a) (* b b)) (* (+ a b) (- a b))))
(*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 b a) (-.f64 a b))))
(+ (* a a) (* b b))
(fma.f64 b b (*.f64 a a))
a
(* b b)
(*.f64 b b)
b
(* (+ (* a a) (* b b)) (* (+ a b) (- a b)))
(*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 b a) (-.f64 a b)))
(* (+ a b) (- a b))
(*.f64 (+.f64 b a) (-.f64 a b))
(+ a b)
(+.f64 b a)
(- a b)
(-.f64 a b)
(/ 1 (* (+ a b) (- a b)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (-.f64 a b)))
1
#s(literal 1 binary64)
(+ (* 4 (+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a)))) -1)
(fma.f64 #s(literal 4 binary64) (fma.f64 a (fma.f64 (*.f64 b b) #s(literal -3 binary64) (fma.f64 a a a)) (*.f64 b b)) #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 #s(literal -3 binary64) (*.f64 b a) b)
(+ (* a -3) 1)
(fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))
-3
#s(literal -3 binary64)
(* a (+ (* a a) a))
(*.f64 a (fma.f64 a a a))
(+ (* a a) a)
(fma.f64 a a a)
-1
#s(literal -1 binary64)

localize252.0ms (2.2%)

Memory
-5.7MiB live, 304.8MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy99.5%
(*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))
accuracy99.3%
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b)))
accuracy95.5%
(fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a)))
accuracy55.7%
(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)))
accuracy99.9%
(*.f64 a (*.f64 a a))
accuracy98.1%
(/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)
accuracy96.0%
(/.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) a)
accuracy61.2%
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)))
accuracy100.0%
(-.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1 binary64))
accuracy100.0%
(*.f64 a a)
accuracy99.9%
(*.f64 a (*.f64 a (*.f64 a a)))
accuracy99.9%
(*.f64 a (*.f64 a a))
accuracy100.0%
(*.f64 a a)
accuracy99.9%
(*.f64 a (*.f64 a (*.f64 a a)))
accuracy99.9%
(*.f64 a (*.f64 a a))
accuracy99.9%
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
accuracy99.8%
(fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a))
accuracy98.4%
(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)))
accuracy93.8%
(fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))
Samples
79.0ms238×0valid
8.0ms13×1valid
6.0ms2valid
Compiler

Compiled 384 to 53 computations (86.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 66.0ms
ival-mult: 31.0ms (46.8% of total)
ival-add: 21.0ms (31.7% of total)
ival-sub: 6.0ms (9.1% of total)
ival-div: 5.0ms (7.5% of total)
adjust: 2.0ms (3% of total)
exact: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series47.0ms (0.4%)

Memory
31.3MiB live, 69.5MiB allocated
Counts
19 → 372
Calls
Call 1
Inputs
#<alt (+ (* b (* b (+ (* b b) 4))) (+ (* a (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))) -1))>
#<alt (* b (+ (* b b) 4))>
#<alt (+ (* b b) 4)>
#<alt (+ (* a (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))) -1)>
#<alt (* a (* a (* a a)))>
#<alt (* a (* a a))>
#<alt (* a a)>
#<alt (- (* a (* a (* a a))) 1)>
#<alt (* (* a (* a (* a a))) (- 1 (/ (- -4 (/ (+ (* b (* b 2)) 4) a)) a)))>
#<alt (+ (* (* (+ (* a a) (* b b)) (* (+ (* a a) (* b b)) (* (+ a b) (- a b)))) (/ 1 (* (+ a b) (- a b)))) (+ (* 4 (+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a)))) -1))>
#<alt (* (+ (* a a) (* b b)) (* (+ (* a a) (* b b)) (* (+ a b) (- a b))))>
#<alt (+ (* a a) (* b b))>
#<alt (* b b)>
#<alt (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))>
#<alt (/ (+ (* b (* b 2)) 4) a)>
#<alt (/ (- -4 (/ (+ (* b (* b 2)) 4) a)) a)>
#<alt (+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a)))>
#<alt (/ 1 (* (+ a b) (- a b)))>
#<alt (* b (+ (* a -3) 1))>
Outputs
#<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 (- (* (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 b)>
#<alt (* b (+ 4 (pow b 2)))>
#<alt (* b (+ 4 (pow b 2)))>
#<alt (* b (+ 4 (pow b 2)))>
#<alt (pow b 3)>
#<alt (* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (pow b 3)>
#<alt (* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<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 -1>
#<alt (- (* -12 (* a (pow b 2))) 1)>
#<alt (- (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) 1)>
#<alt (- (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (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)))) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 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 (/ (+ (* 12 (pow b 2)) (/ 1 a)) a))))>
#<alt (* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* 12 (pow b 2)) (/ 1 a)) a))))>
#<alt (- (* 4 (pow a 2)) 1)>
#<alt (- (+ (* 4 (pow a 2)) (* a (* (pow b 2) (- (* 2 a) 12)))) 1)>
#<alt (- (+ (* 4 (pow a 2)) (* a (* (pow b 2) (- (* 2 a) 12)))) 1)>
#<alt (- (+ (* 4 (pow a 2)) (* a (* (pow b 2) (- (* 2 a) 12)))) 1)>
#<alt (* a (* (pow b 2) (- (* 2 a) 12)))>
#<alt (* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))>
#<alt (* a (* (pow b 2) (- (* 2 a) 12)))>
#<alt (* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (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 (* (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 4) (- 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))))>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 4) (- 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)))))>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 4) (- 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)))))>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 4) (- 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)))))>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 4) (- 1 (* -1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2))))))) (pow b 2))))>
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 4) (- 1 (* -1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2))))))) (pow b 2))))>
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 4) (- 1 (* -1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2))))))) (pow b 2))))>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 4) (- 1 (* -1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2))))))) (pow b 2))))>
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 4) (- 1 (* -1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2))))))) (pow b 2))))>
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 4) (- 1 (* -1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2))))))) (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 (* -1 (pow b 6))>
#<alt (+ (* -1 (pow b 6)) (* a (+ (* -1 (pow b 5)) (pow b 5))))>
#<alt (+ (* -1 (pow b 6)) (* a (+ (* -1 (pow b 5)) (+ (* a (+ (* -2 (pow b 4)) (pow b 4))) (pow b 5)))))>
#<alt (+ (* -1 (pow b 6)) (* a (+ (* -1 (pow b 5)) (+ (* a (+ (* -2 (pow b 4)) (+ (* a (+ (* -2 (pow b 3)) (* 2 (pow b 3)))) (pow b 4)))) (pow b 5)))))>
#<alt (pow a 6)>
#<alt (* (pow a 6) (+ 1 (+ (* -1 (/ b a)) (/ b a))))>
#<alt (* (pow a 6) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (* 2 (/ (pow b 2) (pow a 2))) (/ b a))))))>
#<alt (* (pow a 6) (+ 1 (+ (* -2 (/ (pow b 3) (pow a 3))) (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 2 (/ (pow b 3) (pow a 3))) (/ b a))))))))>
#<alt (pow a 6)>
#<alt (* (pow a 6) (+ 1 (+ (* -1 (/ b a)) (/ b a))))>
#<alt (* (pow a 6) (+ 1 (* -1 (/ (+ (* -2 (/ (pow b 2) a)) (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a))) a))))>
#<alt (* (pow a 6) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (* -1 (/ (+ (* -2 (/ (pow b 3) a)) (+ (* -1 (+ (* -2 (pow b 2)) (pow b 2))) (* 2 (/ (pow b 3) a)))) a))) a))))>
#<alt (pow a 6)>
#<alt (+ (* b (+ (* -1 (pow a 5)) (pow a 5))) (pow a 6))>
#<alt (+ (* b (+ (* -1 (pow a 5)) (+ (* b (+ (* -1 (pow a 4)) (* 2 (pow a 4)))) (pow a 5)))) (pow a 6))>
#<alt (+ (* b (+ (* -1 (pow a 5)) (+ (* b (+ (* -1 (pow a 4)) (+ (* 2 (pow a 4)) (* b (+ (* -2 (pow a 3)) (* 2 (pow a 3))))))) (pow a 5)))) (pow a 6))>
#<alt (* -1 (pow b 6))>
#<alt (* (pow b 6) (- (+ (* -1 (/ a b)) (/ a b)) 1))>
#<alt (* (pow b 6) (- (+ (* -2 (/ (pow a 2) (pow b 2))) (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2))))) 1))>
#<alt (* (pow b 6) (- (+ (* -2 (/ (pow a 2) (pow b 2))) (+ (* -2 (/ (pow a 3) (pow b 3))) (+ (* -1 (/ a b)) (+ (* 2 (/ (pow a 3) (pow b 3))) (+ (/ a b) (/ (pow a 2) (pow b 2))))))) 1))>
#<alt (* -1 (pow b 6))>
#<alt (* (pow b 6) (- (* -1 (/ (+ a (* -1 a)) b)) 1))>
#<alt (* (pow b 6) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (+ (* -2 (pow a 2)) (pow a 2)) b)))) b)) 1))>
#<alt (* (pow b 6) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (+ (* -2 (pow a 2)) (+ (* -1 (/ (+ (* -2 (pow a 3)) (* 2 (pow a 3))) b)) (pow a 2))) b)))) 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 (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 (* 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 (/ 4 a)>
#<alt (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))>
#<alt (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))>
#<alt (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))>
#<alt (* 2 (/ (pow b 2) a))>
#<alt (* (pow b 2) (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* a (pow b 2))))))>
#<alt (* (pow b 2) (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* a (pow b 2))))))>
#<alt (* (pow b 2) (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* a (pow b 2))))))>
#<alt (* 2 (/ (pow b 2) a))>
#<alt (* (pow b 2) (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* a (pow b 2))))))>
#<alt (* (pow b 2) (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* a (pow b 2))))))>
#<alt (* (pow b 2) (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* a (pow b 2))))))>
#<alt (/ (+ 4 (* 2 (pow b 2))) a)>
#<alt (/ (+ 4 (* 2 (pow b 2))) a)>
#<alt (/ (+ 4 (* 2 (pow b 2))) a)>
#<alt (/ (+ 4 (* 2 (pow b 2))) a)>
#<alt (/ (+ 4 (* 2 (pow b 2))) a)>
#<alt (/ (+ 4 (* 2 (pow b 2))) a)>
#<alt (/ (+ 4 (* 2 (pow b 2))) a)>
#<alt (/ (+ 4 (* 2 (pow b 2))) a)>
#<alt (/ (+ 4 (* 2 (pow b 2))) a)>
#<alt (/ (+ 4 (* 2 (pow b 2))) a)>
#<alt (/ (+ 4 (* 2 (pow b 2))) a)>
#<alt (/ (+ 4 (* 2 (pow b 2))) a)>
#<alt (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))>
#<alt (+ (* -2 (/ (pow b 2) (pow a 2))) (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)))>
#<alt (+ (* -2 (/ (pow b 2) (pow a 2))) (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)))>
#<alt (+ (* -2 (/ (pow b 2) (pow a 2))) (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)))>
#<alt (* -2 (/ (pow b 2) (pow a 2)))>
#<alt (* (pow b 2) (- (* -1 (/ (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))) (pow b 2))) (* 2 (/ 1 (pow a 2)))))>
#<alt (* (pow b 2) (- (* -1 (/ (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))) (pow b 2))) (* 2 (/ 1 (pow a 2)))))>
#<alt (* (pow b 2) (- (* -1 (/ (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))) (pow b 2))) (* 2 (/ 1 (pow a 2)))))>
#<alt (* -2 (/ (pow b 2) (pow a 2)))>
#<alt (* (pow b 2) (- (* -1 (/ (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))) (pow b 2))) (* 2 (/ 1 (pow a 2)))))>
#<alt (* (pow b 2) (- (* -1 (/ (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))) (pow b 2))) (* 2 (/ 1 (pow a 2)))))>
#<alt (* (pow b 2) (- (* -1 (/ (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))) (pow b 2))) (* 2 (/ 1 (pow a 2)))))>
#<alt (* -1 (/ (+ 4 (* 2 (pow b 2))) (pow a 2)))>
#<alt (/ (+ (* -4 a) (* -1 (+ 4 (* 2 (pow b 2))))) (pow a 2))>
#<alt (/ (+ (* -4 a) (* -1 (+ 4 (* 2 (pow b 2))))) (pow a 2))>
#<alt (/ (+ (* -4 a) (* -1 (+ 4 (* 2 (pow b 2))))) (pow a 2))>
#<alt (/ -4 a)>
#<alt (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)>
#<alt (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)>
#<alt (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)>
#<alt (/ -4 a)>
#<alt (* -1 (/ (+ 4 (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))) a))>
#<alt (* -1 (/ (+ 4 (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))) a))>
#<alt (* -1 (/ (+ 4 (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))) a))>
#<alt (* a (+ a (pow a 2)))>
#<alt (+ (* a (+ a (pow a 2))) (* (pow b 2) (+ 1 (* -3 a))))>
#<alt (+ (* a (+ a (pow a 2))) (* (pow b 2) (+ 1 (* -3 a))))>
#<alt (+ (* a (+ a (pow a 2))) (* (pow b 2) (+ 1 (* -3 a))))>
#<alt (* (pow b 2) (+ 1 (* -3 a)))>
#<alt (* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -3 a)))>
#<alt (* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (+ (* -3 (* a (pow b 2))) (pow b 2))>
#<alt (+ (* a (+ a (* -3 (pow b 2)))) (pow b 2))>
#<alt (+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2))>
#<alt (pow a 3)>
#<alt (* (pow a 3) (+ 1 (/ 1 a)))>
#<alt (* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a))))>
#<alt (* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3))))))>
#<alt (pow a 3)>
#<alt (* (pow a 3) (+ 1 (/ 1 a)))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1)))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1)))>
#<alt (/ -1 (pow b 2))>
#<alt (- (* -1 (/ (pow a 2) (pow b 4))) (/ 1 (pow b 2)))>
#<alt (- (* (pow a 2) (- (* -1 (/ (pow a 2) (pow b 6))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))>
#<alt (- (* (pow a 2) (- (* (pow a 2) (- (* -1 (/ (pow a 2) (pow b 8))) (/ 1 (pow b 6)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))>
#<alt (/ 1 (pow a 2))>
#<alt (/ (+ 1 (* -1 (/ (+ b (* -1 b)) a))) (pow a 2))>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (pow b 2)) (* -1 (pow (+ b (* -1 b)) 2))) (pow a 2)))) (+ (* -1 (/ b a)) (/ b a))) (pow a 2))>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ b (* -1 b)) (+ (* -1 (pow b 2)) (* -1 (pow (+ b (* -1 b)) 2))))) (* (pow b 2) (+ b (* -1 b)))) (pow a 3)))) (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (* -1 (/ (pow (+ b (* -1 b)) 2) (pow a 2))) (/ b a))))) (pow a 2))>
#<alt (/ 1 (pow a 2))>
#<alt (/ (+ 1 (* -1 (/ (+ b (* -1 b)) a))) (pow a 2))>
#<alt (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow b 2) a)) (* -1 (/ (pow (+ b (* -1 b)) 2) a))) (* -1 (+ b (* -1 b)))) a))) (pow a 2))>
#<alt (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow b 2) (+ b (* -1 b))) a)) (/ (* (+ b (* -1 b)) (+ (* -1 (pow b 2)) (* -1 (pow (+ b (* -1 b)) 2)))) a)) (+ (* -1 (pow b 2)) (* -1 (pow (+ b (* -1 b)) 2)))) a)) (* -1 (+ b (* -1 b)))) a))) (pow a 2))>
#<alt (/ 1 (pow a 2))>
#<alt (+ (/ 1 (pow a 2)) (/ (pow b 2) (pow a 4)))>
#<alt (+ (* (pow b 2) (+ (/ 1 (pow a 4)) (/ (pow b 2) (pow a 6)))) (/ 1 (pow a 2)))>
#<alt (+ (* (pow b 2) (+ (* (pow b 2) (+ (/ 1 (pow a 6)) (/ (pow b 2) (pow a 8)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))>
#<alt (/ -1 (pow b 2))>
#<alt (/ (- (* -1 (/ (+ a (* -1 a)) b)) 1) (pow b 2))>
#<alt (/ (- (* -1 (/ (+ (pow a 2) (pow (+ a (* -1 a)) 2)) (pow b 2))) (+ 1 (+ (* -1 (/ a b)) (/ a b)))) (pow b 2))>
#<alt (/ (- (* -1 (/ (+ (* (+ a (* -1 a)) (+ (pow a 2) (pow (+ a (* -1 a)) 2))) (* (pow a 2) (+ a (* -1 a)))) (pow b 3))) (+ 1 (+ (* -1 (/ a b)) (+ (/ a b) (+ (/ (pow a 2) (pow b 2)) (/ (pow (+ a (* -1 a)) 2) (pow b 2))))))) (pow b 2))>
#<alt (/ -1 (pow b 2))>
#<alt (/ (- (+ (* -1 (/ a b)) (/ a b)) 1) (pow b 2))>
#<alt (/ (- (* -1 (/ (- (+ (/ (pow a 2) b) (/ (pow (+ a (* -1 a)) 2) b)) (+ a (* -1 a))) b)) 1) (pow b 2))>
#<alt (/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ a (* -1 a)) (+ (pow a 2) (pow (+ a (* -1 a)) 2))) b) (/ (* (pow a 2) (+ a (* -1 a))) b)) (+ (pow a 2) (pow (+ a (* -1 a)) 2))) b)) (+ a (* -1 a))) b)) 1) (pow b 2))>
#<alt (* b (+ 1 (* -3 a)))>
#<alt (* b (+ 1 (* -3 a)))>
#<alt (* b (+ 1 (* -3 a)))>
#<alt (* b (+ 1 (* -3 a)))>
#<alt (* b (+ 1 (* -3 a)))>
#<alt (* b (+ 1 (* -3 a)))>
#<alt (* b (+ 1 (* -3 a)))>
#<alt (* b (+ 1 (* -3 a)))>
#<alt (* b (+ 1 (* -3 a)))>
#<alt (* b (+ 1 (* -3 a)))>
#<alt (* b (+ 1 (* -3 a)))>
#<alt (* b (+ 1 (* -3 a)))>
#<alt b>
#<alt (+ b (* -3 (* a b)))>
#<alt (+ b (* -3 (* a b)))>
#<alt (+ b (* -3 (* a b)))>
#<alt (* -3 (* a b))>
#<alt (* a (+ (* -3 b) (/ b a)))>
#<alt (* a (+ (* -3 b) (/ b a)))>
#<alt (* a (+ (* -3 b) (/ b a)))>
#<alt (* -3 (* a b))>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 3 b))))>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 3 b))))>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 3 b))))>
Calls

93 calls:

TimeVariablePointExpression
15.0ms
a
@inf
(+ (* (* (+ (* a a) (* b b)) (* (+ (* a a) (* b b)) (* (+ a b) (- a b)))) (/ 1 (* (+ a b) (- a b)))) (+ (* 4 (+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a)))) -1))
3.0ms
b
@0
(* (* a (* a (* a a))) (- 1 (/ (- -4 (/ (+ (* b (* b 2)) 4) a)) a)))
2.0ms
b
@0
(+ (* b (* b (+ (* b b) 4))) (+ (* a (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))) -1))
1.0ms
b
@inf
(* (* a (* a (* a a))) (- 1 (/ (- -4 (/ (+ (* b (* b 2)) 4) a)) a)))
1.0ms
a
@0
(/ 1 (* (+ a b) (- a b)))

rewrite614.0ms (5.3%)

Memory
-39.0MiB live, 406.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
7 810×*-lowering-*.f32
7 810×*-lowering-*.f64
4 522×accelerator-lowering-fma.f32
4 522×accelerator-lowering-fma.f64
3 918×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051249
1362213
23596213
010696187
Stop Event
iter limit
node limit
Counts
19 → 485
Calls
Call 1
Inputs
(+ (* b (* b (+ (* b b) 4))) (+ (* a (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))) -1))
(* b (+ (* b b) 4))
(+ (* b b) 4)
(+ (* a (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))) -1)
(* a (* a (* a a)))
(* a (* a a))
(* a a)
(- (* a (* a (* a a))) 1)
(* (* a (* a (* a a))) (- 1 (/ (- -4 (/ (+ (* b (* b 2)) 4) a)) a)))
(+ (* (* (+ (* a a) (* b b)) (* (+ (* a a) (* b b)) (* (+ a b) (- a b)))) (/ 1 (* (+ a b) (- a b)))) (+ (* 4 (+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a)))) -1))
(* (+ (* a a) (* b b)) (* (+ (* a a) (* b b)) (* (+ a b) (- a b))))
(+ (* a a) (* b b))
(* b b)
(+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))
(/ (+ (* b (* b 2)) 4) a)
(/ (- -4 (/ (+ (* b (* b 2)) 4) a)) a)
(+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a)))
(/ 1 (* (+ a b) (- a b)))
(* b (+ (* a -3) 1))
Outputs
(+.f64 (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))
(+.f64 (*.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a))) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))))
(+.f64 #s(literal -1 binary64) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))))
(+.f64 (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))))
(+.f64 (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))) #s(literal -1 binary64))
(+.f64 (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a))))
(-.f64 (/.f64 (*.f64 b (*.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))))) (-.f64 (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))) (/.f64 (*.f64 (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))))
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))
(fma.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) b (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))
(fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b 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 #s(literal 4 binary64) a)) a (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))))
(fma.f64 (fma.f64 (*.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a))) (*.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) (*.f64 a (*.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) (*.f64 a (*.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)))) #s(literal 1 binary64)) (*.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) (*.f64 a #s(literal -1 binary64))))) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))))
(fma.f64 (fma.f64 a (*.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) (*.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal 1 binary64))) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))))
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(/.f64 (*.f64 (fma.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b) (*.f64 a (fma.f64 a a a))) (fma.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b) (neg.f64 (*.f64 a (fma.f64 a a a))))) (fma.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b) (neg.f64 (*.f64 a (fma.f64 a a a)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 a (fma.f64 a a a)) (*.f64 (*.f64 a (fma.f64 a a a)) (*.f64 a (fma.f64 a a a)))))) (neg.f64 (fma.f64 b (*.f64 (fma.f64 b (*.f64 a #s(literal -3 binary64)) b) (*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b))) (*.f64 (*.f64 a (fma.f64 a a a)) (-.f64 (*.f64 a (fma.f64 a a a)) (*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b) (*.f64 a (fma.f64 a a a))) (fma.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b) (neg.f64 (*.f64 a (fma.f64 a a a)))))) (neg.f64 (fma.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b) (neg.f64 (*.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 b (*.f64 (fma.f64 b (*.f64 a #s(literal -3 binary64)) b) (*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b))))) (-.f64 (*.f64 a (fma.f64 a a a)) (*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b))))
(/.f64 (-.f64 (*.f64 (*.f64 b (*.f64 (fma.f64 b (*.f64 a #s(literal -3 binary64)) b) (*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b)))) (fma.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b) (neg.f64 (*.f64 a (fma.f64 a a a))))) (*.f64 (fma.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b) (neg.f64 (*.f64 a (fma.f64 a a a)))) (*.f64 (*.f64 a (fma.f64 a a a)) (*.f64 a (fma.f64 a a a))))) (*.f64 (fma.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b) (neg.f64 (*.f64 a (fma.f64 a a a)))) (fma.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b) (neg.f64 (*.f64 a (fma.f64 a a a))))))
(pow.f64 (/.f64 (fma.f64 b (*.f64 (fma.f64 b (*.f64 a #s(literal -3 binary64)) b) (*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b))) (*.f64 (*.f64 a (fma.f64 a a a)) (-.f64 (*.f64 a (fma.f64 a a a)) (*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b))))) (fma.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 a (fma.f64 a a a)) (*.f64 (*.f64 a (fma.f64 a a a)) (*.f64 a (fma.f64 a a a)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b) (neg.f64 (*.f64 a (fma.f64 a a a)))) (*.f64 (fma.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b) (*.f64 a (fma.f64 a a a))) (fma.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b) (neg.f64 (*.f64 a (fma.f64 a a a)))))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 a (fma.f64 a a a)) (*.f64 (*.f64 a (fma.f64 a a a)) (*.f64 a (fma.f64 a a a))))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 (fma.f64 b (*.f64 a #s(literal -3 binary64)) b) (*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b))) (*.f64 (*.f64 a (fma.f64 a a a)) (-.f64 (*.f64 a (fma.f64 a a a)) (*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b)))))))
(*.f64 (*.f64 (fma.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b) (*.f64 a (fma.f64 a a a))) (fma.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b) (neg.f64 (*.f64 a (fma.f64 a a a))))) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b) (neg.f64 (*.f64 a (fma.f64 a a a))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 b a) (-.f64 a b))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 b a) (-.f64 a b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (+.f64 b a) (-.f64 a b))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (-.f64 a b)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (+.f64 b a) (-.f64 a b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 b a))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 a b))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a))) (neg.f64 (-.f64 a b)))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) (+.f64 b a))
(pow.f64 (*.f64 (+.f64 b a) (-.f64 a b)) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (+.f64 b a) (-.f64 a b))) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 b a) (-.f64 a b)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 b a))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 b a) (-.f64 a b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 (+.f64 b a) (-.f64 a b)))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (+.f64 b a) (-.f64 a b)))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (-.f64 a b))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (-.f64 a b))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 a b)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (pow.f64 (/.f64 (-.f64 a b) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (+.f64 b a)))
(*.f64 (pow.f64 (*.f64 (+.f64 b a) (-.f64 a b)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (+.f64 b a) (-.f64 a b)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a b))) (fma.f64 b (+.f64 b a) (*.f64 a a)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (*.f64 (+.f64 b a) (-.f64 a b))) (+.f64 b a))
(+.f64 b (*.f64 b (*.f64 a #s(literal -3 binary64))))
(+.f64 (*.f64 b (*.f64 a #s(literal -3 binary64))) b)
(fma.f64 b #s(literal 1 binary64) (*.f64 b (*.f64 a #s(literal -3 binary64))))
(fma.f64 b (*.f64 a #s(literal -3 binary64)) b)
(fma.f64 a (*.f64 #s(literal -3 binary64) b) b)
(fma.f64 #s(literal 1 binary64) b (*.f64 b (*.f64 a #s(literal -3 binary64))))
(fma.f64 #s(literal -3 binary64) (*.f64 b a) b)
(fma.f64 (*.f64 a #s(literal -3 binary64)) b b)
(fma.f64 (*.f64 b a) #s(literal -3 binary64) b)
(fma.f64 (*.f64 b #s(literal -3 binary64)) a b)
(/.f64 (fma.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27 binary64)) (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (fma.f64 (*.f64 b (*.f64 a #s(literal -3 binary64))) (*.f64 b (*.f64 a #s(literal -3 binary64))) (-.f64 (*.f64 b b) (*.f64 (*.f64 b (*.f64 a #s(literal -3 binary64))) b))))
(/.f64 (-.f64 (*.f64 (*.f64 b (*.f64 a #s(literal -3 binary64))) (*.f64 b (*.f64 a #s(literal -3 binary64)))) (*.f64 b b)) (-.f64 (*.f64 b (*.f64 a #s(literal -3 binary64))) b))
(/.f64 (*.f64 b (fma.f64 (*.f64 a (*.f64 a a)) #s(literal -27 binary64) #s(literal 1 binary64))) (fma.f64 (*.f64 a a) #s(literal 9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))))
(/.f64 (*.f64 b (fma.f64 (*.f64 a a) #s(literal 9 binary64) #s(literal -1 binary64))) (fma.f64 a #s(literal -3 binary64) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal -27 binary64) #s(literal 1 binary64)) b) (fma.f64 (*.f64 a a) #s(literal 9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 9 binary64) #s(literal -1 binary64)) b) (fma.f64 a #s(literal -3 binary64) #s(literal -1 binary64)))
(*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))
(*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) b)

simplify490.0ms (4.2%)

Memory
1.7MiB live, 487.4MiB allocated
Algorithm
egg-herbie
Rules
9 182×accelerator-lowering-fma.f32
9 182×accelerator-lowering-fma.f64
4 122×*-lowering-*.f32
4 122×*-lowering-*.f64
3 352×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05834948
118794669
267034614
085724221
Stop Event
iter limit
node limit
Counts
372 → 372
Calls
Call 1
Inputs
(- (* 4 (pow a 2)) 1)
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1)
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))))) 1)
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) (/ 1 (pow b 4))))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(- (+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(- (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(- (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(* (pow a 2) (+ 4 (* 2 (pow b 2))))
(* (pow a 2) (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))))
(* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))))) (/ 1 (pow a 2))))
(* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))))) (/ 1 (pow a 2))))
(* -1 (* (pow a 2) (- (* -2 (pow b 2)) 4)))
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* -1 (- (* -2 (pow b 2)) 4))))
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* -1 (/ (- (* (pow b 2) (+ 4 (pow b 2))) 1) a)) (* 12 (pow b 2))) a))))
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* -1 (/ (- (* (pow b 2) (+ 4 (pow b 2))) 1) a)) (* 12 (pow b 2))) a))))
(* 4 b)
(* b (+ 4 (pow b 2)))
(* b (+ 4 (pow b 2)))
(* b (+ 4 (pow b 2)))
(pow b 3)
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(pow b 3)
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
4
(+ 4 (pow b 2))
(+ 4 (pow b 2))
(+ 4 (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
-1
(- (* -12 (* a (pow b 2))) 1)
(- (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) 1)
(- (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) 1)
(* (pow a 2) (+ 4 (* 2 (pow b 2))))
(* (pow a 2) (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))))
(* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) (/ 1 (pow a 2))))
(* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) (/ 1 (pow a 2))))
(* -1 (* (pow a 2) (- (* -2 (pow b 2)) 4)))
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* -1 (- (* -2 (pow b 2)) 4))))
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* 12 (pow b 2)) (/ 1 a)) a))))
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* 12 (pow b 2)) (/ 1 a)) a))))
(- (* 4 (pow a 2)) 1)
(- (+ (* 4 (pow a 2)) (* a (* (pow b 2) (- (* 2 a) 12)))) 1)
(- (+ (* 4 (pow a 2)) (* a (* (pow b 2) (- (* 2 a) 12)))) 1)
(- (+ (* 4 (pow a 2)) (* a (* (pow b 2) (- (* 2 a) 12)))) 1)
(* a (* (pow b 2) (- (* 2 a) 12)))
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))
(* a (* (pow b 2) (- (* 2 a) 12)))
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))
(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))))
(* (pow a 2) (+ 4 (* 2 (pow b 2))))
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* 4 a))))
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a)))))
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (- 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))))
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 4) (- 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)))))
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 4) (- 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)))))
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 4) (- 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)))))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 4) (- 1 (* -1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2))))))) (pow b 2))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 4) (- 1 (* -1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2))))))) (pow b 2))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 4) (- 1 (* -1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2))))))) (pow b 2))))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 4) (- 1 (* -1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2))))))) (pow b 2))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 4) (- 1 (* -1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2))))))) (pow b 2))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 4) (- 1 (* -1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2))))))) (pow b 2))))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1)
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* -1 (pow b 6))
(+ (* -1 (pow b 6)) (* a (+ (* -1 (pow b 5)) (pow b 5))))
(+ (* -1 (pow b 6)) (* a (+ (* -1 (pow b 5)) (+ (* a (+ (* -2 (pow b 4)) (pow b 4))) (pow b 5)))))
(+ (* -1 (pow b 6)) (* a (+ (* -1 (pow b 5)) (+ (* a (+ (* -2 (pow b 4)) (+ (* a (+ (* -2 (pow b 3)) (* 2 (pow b 3)))) (pow b 4)))) (pow b 5)))))
(pow a 6)
(* (pow a 6) (+ 1 (+ (* -1 (/ b a)) (/ b a))))
(* (pow a 6) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (* 2 (/ (pow b 2) (pow a 2))) (/ b a))))))
(* (pow a 6) (+ 1 (+ (* -2 (/ (pow b 3) (pow a 3))) (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 2 (/ (pow b 3) (pow a 3))) (/ b a))))))))
(pow a 6)
(* (pow a 6) (+ 1 (+ (* -1 (/ b a)) (/ b a))))
(* (pow a 6) (+ 1 (* -1 (/ (+ (* -2 (/ (pow b 2) a)) (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a))) a))))
(* (pow a 6) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (* -1 (/ (+ (* -2 (/ (pow b 3) a)) (+ (* -1 (+ (* -2 (pow b 2)) (pow b 2))) (* 2 (/ (pow b 3) a)))) a))) a))))
(pow a 6)
(+ (* b (+ (* -1 (pow a 5)) (pow a 5))) (pow a 6))
(+ (* b (+ (* -1 (pow a 5)) (+ (* b (+ (* -1 (pow a 4)) (* 2 (pow a 4)))) (pow a 5)))) (pow a 6))
(+ (* b (+ (* -1 (pow a 5)) (+ (* b (+ (* -1 (pow a 4)) (+ (* 2 (pow a 4)) (* b (+ (* -2 (pow a 3)) (* 2 (pow a 3))))))) (pow a 5)))) (pow a 6))
(* -1 (pow b 6))
(* (pow b 6) (- (+ (* -1 (/ a b)) (/ a b)) 1))
(* (pow b 6) (- (+ (* -2 (/ (pow a 2) (pow b 2))) (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2))))) 1))
(* (pow b 6) (- (+ (* -2 (/ (pow a 2) (pow b 2))) (+ (* -2 (/ (pow a 3) (pow b 3))) (+ (* -1 (/ a b)) (+ (* 2 (/ (pow a 3) (pow b 3))) (+ (/ a b) (/ (pow a 2) (pow b 2))))))) 1))
(* -1 (pow b 6))
(* (pow b 6) (- (* -1 (/ (+ a (* -1 a)) b)) 1))
(* (pow b 6) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (+ (* -2 (pow a 2)) (pow a 2)) b)))) b)) 1))
(* (pow b 6) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (+ (* -2 (pow a 2)) (+ (* -1 (/ (+ (* -2 (pow a 3)) (* 2 (pow a 3))) b)) (pow a 2))) b)))) 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))))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(* 4 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)))
(/ 4 a)
(+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))
(+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))
(+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))
(* 2 (/ (pow b 2) a))
(* (pow b 2) (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* a (pow b 2))))))
(* (pow b 2) (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* a (pow b 2))))))
(* (pow b 2) (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* a (pow b 2))))))
(* 2 (/ (pow b 2) a))
(* (pow b 2) (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* a (pow b 2))))))
(* (pow b 2) (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* a (pow b 2))))))
(* (pow b 2) (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* a (pow b 2))))))
(/ (+ 4 (* 2 (pow b 2))) a)
(/ (+ 4 (* 2 (pow b 2))) a)
(/ (+ 4 (* 2 (pow b 2))) a)
(/ (+ 4 (* 2 (pow b 2))) a)
(/ (+ 4 (* 2 (pow b 2))) a)
(/ (+ 4 (* 2 (pow b 2))) a)
(/ (+ 4 (* 2 (pow b 2))) a)
(/ (+ 4 (* 2 (pow b 2))) a)
(/ (+ 4 (* 2 (pow b 2))) a)
(/ (+ 4 (* 2 (pow b 2))) a)
(/ (+ 4 (* 2 (pow b 2))) a)
(/ (+ 4 (* 2 (pow b 2))) a)
(* -1 (/ (+ 4 (* 4 (/ 1 a))) a))
(+ (* -2 (/ (pow b 2) (pow a 2))) (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)))
(+ (* -2 (/ (pow b 2) (pow a 2))) (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)))
(+ (* -2 (/ (pow b 2) (pow a 2))) (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)))
(* -2 (/ (pow b 2) (pow a 2)))
(* (pow b 2) (- (* -1 (/ (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))) (pow b 2))) (* 2 (/ 1 (pow a 2)))))
(* (pow b 2) (- (* -1 (/ (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))) (pow b 2))) (* 2 (/ 1 (pow a 2)))))
(* (pow b 2) (- (* -1 (/ (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))) (pow b 2))) (* 2 (/ 1 (pow a 2)))))
(* -2 (/ (pow b 2) (pow a 2)))
(* (pow b 2) (- (* -1 (/ (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))) (pow b 2))) (* 2 (/ 1 (pow a 2)))))
(* (pow b 2) (- (* -1 (/ (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))) (pow b 2))) (* 2 (/ 1 (pow a 2)))))
(* (pow b 2) (- (* -1 (/ (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))) (pow b 2))) (* 2 (/ 1 (pow a 2)))))
(* -1 (/ (+ 4 (* 2 (pow b 2))) (pow a 2)))
(/ (+ (* -4 a) (* -1 (+ 4 (* 2 (pow b 2))))) (pow a 2))
(/ (+ (* -4 a) (* -1 (+ 4 (* 2 (pow b 2))))) (pow a 2))
(/ (+ (* -4 a) (* -1 (+ 4 (* 2 (pow b 2))))) (pow a 2))
(/ -4 a)
(/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)
(/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)
(/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)
(/ -4 a)
(* -1 (/ (+ 4 (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))) a))
(* -1 (/ (+ 4 (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))) a))
(* -1 (/ (+ 4 (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))) a))
(* a (+ a (pow a 2)))
(+ (* a (+ a (pow a 2))) (* (pow b 2) (+ 1 (* -3 a))))
(+ (* a (+ a (pow a 2))) (* (pow b 2) (+ 1 (* -3 a))))
(+ (* a (+ a (pow a 2))) (* (pow b 2) (+ 1 (* -3 a))))
(* (pow b 2) (+ 1 (* -3 a)))
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 a)))
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))
(pow b 2)
(+ (* -3 (* a (pow b 2))) (pow b 2))
(+ (* a (+ a (* -3 (pow b 2)))) (pow b 2))
(+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2))
(pow a 3)
(* (pow a 3) (+ 1 (/ 1 a)))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a))))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3))))))
(pow a 3)
(* (pow a 3) (+ 1 (/ 1 a)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1)))
(/ -1 (pow b 2))
(- (* -1 (/ (pow a 2) (pow b 4))) (/ 1 (pow b 2)))
(- (* (pow a 2) (- (* -1 (/ (pow a 2) (pow b 6))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(- (* (pow a 2) (- (* (pow a 2) (- (* -1 (/ (pow a 2) (pow b 8))) (/ 1 (pow b 6)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(/ 1 (pow a 2))
(/ (+ 1 (* -1 (/ (+ b (* -1 b)) a))) (pow a 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow b 2)) (* -1 (pow (+ b (* -1 b)) 2))) (pow a 2)))) (+ (* -1 (/ b a)) (/ b a))) (pow a 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ b (* -1 b)) (+ (* -1 (pow b 2)) (* -1 (pow (+ b (* -1 b)) 2))))) (* (pow b 2) (+ b (* -1 b)))) (pow a 3)))) (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (* -1 (/ (pow (+ b (* -1 b)) 2) (pow a 2))) (/ b a))))) (pow a 2))
(/ 1 (pow a 2))
(/ (+ 1 (* -1 (/ (+ b (* -1 b)) a))) (pow a 2))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow b 2) a)) (* -1 (/ (pow (+ b (* -1 b)) 2) a))) (* -1 (+ b (* -1 b)))) a))) (pow a 2))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow b 2) (+ b (* -1 b))) a)) (/ (* (+ b (* -1 b)) (+ (* -1 (pow b 2)) (* -1 (pow (+ b (* -1 b)) 2)))) a)) (+ (* -1 (pow b 2)) (* -1 (pow (+ b (* -1 b)) 2)))) a)) (* -1 (+ b (* -1 b)))) a))) (pow a 2))
(/ 1 (pow a 2))
(+ (/ 1 (pow a 2)) (/ (pow b 2) (pow a 4)))
(+ (* (pow b 2) (+ (/ 1 (pow a 4)) (/ (pow b 2) (pow a 6)))) (/ 1 (pow a 2)))
(+ (* (pow b 2) (+ (* (pow b 2) (+ (/ 1 (pow a 6)) (/ (pow b 2) (pow a 8)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(/ -1 (pow b 2))
(/ (- (* -1 (/ (+ a (* -1 a)) b)) 1) (pow b 2))
(/ (- (* -1 (/ (+ (pow a 2) (pow (+ a (* -1 a)) 2)) (pow b 2))) (+ 1 (+ (* -1 (/ a b)) (/ a b)))) (pow b 2))
(/ (- (* -1 (/ (+ (* (+ a (* -1 a)) (+ (pow a 2) (pow (+ a (* -1 a)) 2))) (* (pow a 2) (+ a (* -1 a)))) (pow b 3))) (+ 1 (+ (* -1 (/ a b)) (+ (/ a b) (+ (/ (pow a 2) (pow b 2)) (/ (pow (+ a (* -1 a)) 2) (pow b 2))))))) (pow b 2))
(/ -1 (pow b 2))
(/ (- (+ (* -1 (/ a b)) (/ a b)) 1) (pow b 2))
(/ (- (* -1 (/ (- (+ (/ (pow a 2) b) (/ (pow (+ a (* -1 a)) 2) b)) (+ a (* -1 a))) b)) 1) (pow b 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ a (* -1 a)) (+ (pow a 2) (pow (+ a (* -1 a)) 2))) b) (/ (* (pow a 2) (+ a (* -1 a))) b)) (+ (pow a 2) (pow (+ a (* -1 a)) 2))) b)) (+ a (* -1 a))) b)) 1) (pow b 2))
(* b (+ 1 (* -3 a)))
(* b (+ 1 (* -3 a)))
(* b (+ 1 (* -3 a)))
(* b (+ 1 (* -3 a)))
(* b (+ 1 (* -3 a)))
(* b (+ 1 (* -3 a)))
(* b (+ 1 (* -3 a)))
(* b (+ 1 (* -3 a)))
(* b (+ 1 (* -3 a)))
(* b (+ 1 (* -3 a)))
(* b (+ 1 (* -3 a)))
(* b (+ 1 (* -3 a)))
b
(+ b (* -3 (* a b)))
(+ b (* -3 (* a b)))
(+ b (* -3 (* a b)))
(* -3 (* a b))
(* a (+ (* -3 b) (/ b a)))
(* a (+ (* -3 b) (/ b a)))
(* a (+ (* -3 b) (/ b a)))
(* -3 (* a b))
(* -1 (* a (+ (* -1 (/ b a)) (* 3 b))))
(* -1 (* a (+ (* -1 (/ b a)) (* 3 b))))
(* -1 (* a (+ (* -1 (/ b a)) (* 3 b))))
Outputs
(- (* 4 (pow a 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 a a) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))))) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 a a) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))))) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 a a) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (fma.f64 (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))))
(* (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 a #s(literal 2 binary64) #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 a #s(literal 2 binary64) #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)))
(* (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 a #s(literal 2 binary64) #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 a #s(literal 2 binary64) #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 a #s(literal 2 binary64) #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 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 a #s(literal -12 binary64) (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))
(- (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
(- (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
(* (pow a 2) (+ 4 (* 2 (pow b 2))))
(*.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))
(* (pow a 2) (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))))
(*.f64 a (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) (fma.f64 (*.f64 b b) (/.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 #s(literal -12 binary64) a) (fma.f64 (*.f64 b b) (+.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))))
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(*.f64 a (fma.f64 b #s(literal -3 binary64) (/.f64 b a)))
(* -3 (* a b))
(*.f64 b (*.f64 a #s(literal -3 binary64)))
(* -1 (* a (+ (* -1 (/ b a)) (* 3 b))))
(*.f64 a (fma.f64 b #s(literal -3 binary64) (/.f64 b a)))
(* -1 (* a (+ (* -1 (/ b a)) (* 3 b))))
(*.f64 a (fma.f64 b #s(literal -3 binary64) (/.f64 b a)))
(* -1 (* a (+ (* -1 (/ b a)) (* 3 b))))
(*.f64 a (fma.f64 b #s(literal -3 binary64) (/.f64 b a)))

eval212.0ms (1.8%)

Memory
15.9MiB live, 242.8MiB allocated
Compiler

Compiled 41 023 to 2 307 computations (94.4% saved)

prune179.0ms (1.5%)

Memory
-10.6MiB live, 191.9MiB allocated
Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New1 079101 089
Fresh4610
Picked415
Done000
Total1 087171 104
Accuracy
100.0%
Counts
1 104 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
19.4%
(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)))) (fma.f64 a a (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a)))) (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)))
51.1%
(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 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))
67.4%
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
67.3%
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
79.0%
(fma.f64 b (fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)) (*.f64 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)))
67.4%
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))
44.7%
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
43.0%
(pow.f64 a #s(literal 4 binary64))
77.2%
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
60.9%
(-.f64 (+.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
43.6%
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
42.9%
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a)))
43.6%
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)))
43.0%
(*.f64 (*.f64 a a) (*.f64 a a))
43.3%
(*.f64 b (*.f64 b (*.f64 b b)))
43.0%
(*.f64 a (*.f64 a (*.f64 a a)))
24.9%
#s(literal -1 binary64)
Compiler

Compiled 651 to 341 computations (47.6% saved)

simplify258.0ms (2.2%)

Memory
31.5MiB live, 508.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff5504
(pow.f64 a #s(literal 4 binary64))
cost-diff0
(*.f64 a a)
cost-diff0
(*.f64 a (*.f64 a a))
cost-diff0
(*.f64 a (*.f64 a (*.f64 a a)))
cost-diff1856
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a)))
cost-diff0
(fma.f64 b b #s(literal 4 binary64))
cost-diff0
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
cost-diff0
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))
cost-diff0
(*.f64 b #s(literal 4 binary64))
cost-diff0
(pow.f64 b #s(literal 3/2 binary64))
cost-diff320
(fma.f64 b (fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)) (*.f64 b #s(literal 4 binary64))) (fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))
cost-diff12928
(fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)) (*.f64 b #s(literal 4 binary64)))
Rules
10 708×accelerator-lowering-fma.f32
10 708×accelerator-lowering-fma.f64
2 098×*-lowering-*.f32
2 098×*-lowering-*.f64
2 064×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036176
198170
2266168
3693168
41845168
54597166
67379166
08315149
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (* b (+ (* (pow b 3/2) (pow b 3/2)) (* b 4))) (+ (* a (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))) -1))
b
(+ (* (pow b 3/2) (pow b 3/2)) (* b 4))
(pow b 3/2)
3/2
(* b 4)
4
(+ (* a (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))) -1)
a
(+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))
(* b b)
(+ (* 2 a) -12)
2
-12
(* 4 a)
-1
-1
(+ (* b (* b (+ (* b b) 4))) -1)
b
(* b (+ (* b b) 4))
(+ (* b b) 4)
4
-1
(* (* a (* a (* a a))) (- 1 (/ (- -4 (/ 4 a)) a)))
(* a (* a (* a a)))
a
(* a (* a a))
(* a a)
(- 1 (/ (- -4 (/ 4 a)) a))
1
(/ (- -4 (/ 4 a)) a)
(- -4 (/ 4 a))
-4
(/ 4 a)
4
(pow a 4)
a
4
Outputs
(+ (* b (+ (* (pow b 3/2) (pow b 3/2)) (* b 4))) (+ (* a (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))) -1))
(fma.f64 b (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64)))) (fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)))
b
(+ (* (pow b 3/2) (pow b 3/2)) (* b 4))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(pow b 3/2)
(pow.f64 b #s(literal 3/2 binary64))
3/2
#s(literal 3/2 binary64)
(* b 4)
(*.f64 b #s(literal 4 binary64))
4
#s(literal 4 binary64)
(+ (* a (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))) -1)
(fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 a #s(literal 4 binary64))) #s(literal -1 binary64))
a
(+ (* (* 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)
(+ (* 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))
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
(+ (* b (* b (+ (* b b) 4))) -1)
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
b
(* b (+ (* b b) 4))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(+ (* b b) 4)
(fma.f64 b b #s(literal 4 binary64))
4
#s(literal 4 binary64)
-1
#s(literal -1 binary64)
(* (* a (* a (* a a))) (- 1 (/ (- -4 (/ 4 a)) a)))
(*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))
(* a (* a (* a a)))
(*.f64 a (*.f64 a (*.f64 a a)))
a
(* a (* a a))
(*.f64 a (*.f64 a a))
(* a a)
(*.f64 a a)
(- 1 (/ (- -4 (/ 4 a)) a))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a))
1
#s(literal 1 binary64)
(/ (- -4 (/ 4 a)) a)
(/.f64 (+.f64 (/.f64 #s(literal -4 binary64) a) #s(literal -4 binary64)) a)
(- -4 (/ 4 a))
(+.f64 (/.f64 #s(literal -4 binary64) a) #s(literal -4 binary64))
-4
#s(literal -4 binary64)
(/ 4 a)
(/.f64 #s(literal 4 binary64) a)
4
#s(literal 4 binary64)
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
a
4
#s(literal 4 binary64)

localize101.0ms (0.9%)

Memory
-22.7MiB live, 213.6MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(pow.f64 a #s(literal 4 binary64))
accuracy99.9%
(*.f64 a (*.f64 a (*.f64 a a)))
accuracy99.9%
(/.f64 (-.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a)
accuracy99.9%
(*.f64 a (*.f64 a a))
accuracy62.2%
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a)))
accuracy100.0%
(fma.f64 b b #s(literal 4 binary64))
accuracy100.0%
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))
accuracy99.9%
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
accuracy99.8%
(fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)) (*.f64 b #s(literal 4 binary64)))
accuracy99.8%
(fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a))
accuracy98.4%
(fma.f64 b (fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)) (*.f64 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)))
accuracy93.8%
(fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))
Samples
61.0ms256×0valid
Compiler

Compiled 174 to 38 computations (78.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-mult: 19.0ms (43.7% of total)
ival-pow: 10.0ms (23% of total)
ival-add: 7.0ms (16.1% of total)
ival-div: 3.0ms (6.9% of total)
ival-sub: 2.0ms (4.6% of total)
exact: 1.0ms (2.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series14.0ms (0.1%)

Memory
28.1MiB live, 28.1MiB allocated
Counts
15 → 216
Calls
Call 1
Inputs
#<alt (+ (* (pow b 3/2) (pow b 3/2)) (* b 4))>
#<alt (+ (* b (+ (* (pow b 3/2) (pow b 3/2)) (* b 4))) (+ (* a (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))) -1))>
#<alt (pow b 3/2)>
#<alt (* b 4)>
#<alt (+ (* b (* b (+ (* b b) 4))) -1)>
#<alt (* b (+ (* b b) 4))>
#<alt (+ (* b b) 4)>
#<alt (* (* a (* a (* a a))) (- 1 (/ (- -4 (/ 4 a)) a)))>
#<alt (* a (* a (* a a)))>
#<alt (* a (* a a))>
#<alt (* a a)>
#<alt (pow a 4)>
#<alt (+ (* a (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))) -1)>
#<alt (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))>
#<alt (/ (- -4 (/ 4 a)) a)>
Outputs
#<alt (* 4 b)>
#<alt (* b (+ 4 (pow b 2)))>
#<alt (* b (+ 4 (pow b 2)))>
#<alt (* b (+ 4 (pow b 2)))>
#<alt (pow b 3)>
#<alt (* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* -1 (* (pow b 3) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (pow b 3) (- (pow (sqrt -1) 2) (* 4 (/ 1 (pow b 2))))))>
#<alt (* -1 (* (pow b 3) (- (pow (sqrt -1) 2) (* 4 (/ 1 (pow b 2))))))>
#<alt (* -1 (* (pow b 3) (- (pow (sqrt -1) 2) (* 4 (/ 1 (pow b 2))))))>
#<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 (* -1 (* (pow b 4) (pow (sqrt -1) 2)))>
#<alt (* (pow b 4) (+ (* -1 (pow (sqrt -1) 2)) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))>
#<alt (* (pow b 4) (- (+ (* -1 (pow (sqrt -1) 2)) (+ (* 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 (pow (sqrt -1) 2)) (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) (/ 1 (pow b 4))))>
#<alt (- (* b (+ (* 4 b) (pow b 3))) 1)>
#<alt (- (+ (* -12 (* a (pow b 2))) (* b (+ (* 4 b) (pow b 3)))) 1)>
#<alt (- (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* b (+ (* 4 b) (pow b 3)))) 1)>
#<alt (- (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* b (+ (* 4 b) (pow b 3)))) 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)) (/ (* b (+ (* 4 b) (pow b 3))) (pow a 2))))) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (/ (* b (+ (* 4 b) (pow b 3))) (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 (/ (- (* b (+ (* 4 b) (pow b 3))) 1) a)) (* 12 (pow b 2))) a))))>
#<alt (* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* -1 (/ (- (* b (+ (* 4 b) (pow b 3))) 1) a)) (* 12 (pow b 2))) a))))>
#<alt (sqrt (pow b 3))>
#<alt (sqrt (pow b 3))>
#<alt (sqrt (pow b 3))>
#<alt (sqrt (pow b 3))>
#<alt (sqrt (pow b 3))>
#<alt (sqrt (pow b 3))>
#<alt (sqrt (pow b 3))>
#<alt (sqrt (pow b 3))>
#<alt (* (sqrt (pow b 3)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (pow b 3)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (pow b 3)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (pow b 3)) (pow (sqrt -1) 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 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 b)>
#<alt (* b (+ 4 (pow b 2)))>
#<alt (* b (+ 4 (pow b 2)))>
#<alt (* b (+ 4 (pow b 2)))>
#<alt (pow b 3)>
#<alt (* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (pow b 3)>
#<alt (* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<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 (pow a 2))>
#<alt (* (pow a 2) (+ 4 (* 4 a)))>
#<alt (* (pow a 2) (+ 4 (* a (+ 4 a))))>
#<alt (* (pow a 2) (+ 4 (* a (+ 4 a))))>
#<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)))))>
#<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)))))>
#<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 (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 -1>
#<alt (- (* -12 (* a (pow b 2))) 1)>
#<alt (- (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) 1)>
#<alt (- (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (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)))) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 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 (/ (+ (* 12 (pow b 2)) (/ 1 a)) a))))>
#<alt (* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* 12 (pow b 2)) (/ 1 a)) a))))>
#<alt (- (* 4 (pow a 2)) 1)>
#<alt (- (+ (* 4 (pow a 2)) (* a (* (pow b 2) (- (* 2 a) 12)))) 1)>
#<alt (- (+ (* 4 (pow a 2)) (* a (* (pow b 2) (- (* 2 a) 12)))) 1)>
#<alt (- (+ (* 4 (pow a 2)) (* a (* (pow b 2) (- (* 2 a) 12)))) 1)>
#<alt (* a (* (pow b 2) (- (* 2 a) 12)))>
#<alt (* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))>
#<alt (* a (* (pow b 2) (- (* 2 a) 12)))>
#<alt (* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))>
#<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 (/ -4 (pow a 2))>
#<alt (/ (- (* -4 a) 4) (pow a 2))>
#<alt (/ (- (* -4 a) 4) (pow a 2))>
#<alt (/ (- (* -4 a) 4) (pow a 2))>
#<alt (/ -4 a)>
#<alt (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))>
#<alt (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))>
#<alt (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))>
#<alt (/ -4 a)>
#<alt (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))>
#<alt (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))>
#<alt (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))>
Calls

54 calls:

TimeVariablePointExpression
5.0ms
a
@inf
(* (* a (* a (* a a))) (- 1 (/ (- -4 (/ 4 a)) a)))
1.0ms
b
@-inf
(pow b 3/2)
1.0ms
b
@-inf
(+ (* (pow b 3/2) (pow b 3/2)) (* b 4))
1.0ms
b
@0
(pow b 3/2)
0.0ms
b
@-inf
(+ (* b (+ (* (pow b 3/2) (pow b 3/2)) (* b 4))) (+ (* a (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))) -1))

rewrite426.0ms (3.7%)

Memory
-14.1MiB live, 712.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 218×*-lowering-*.f32
6 218×*-lowering-*.f64
4 124×/-lowering-/.f32
4 124×/-lowering-/.f64
3 930×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036125
1237125
22050125
09115110
Stop Event
iter limit
node limit
Counts
15 → 554
Calls
Call 1
Inputs
(+ (* (pow b 3/2) (pow b 3/2)) (* b 4))
(+ (* b (+ (* (pow b 3/2) (pow b 3/2)) (* b 4))) (+ (* a (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))) -1))
(pow b 3/2)
(* b 4)
(+ (* b (* b (+ (* b b) 4))) -1)
(* b (+ (* b b) 4))
(+ (* b b) 4)
(* (* a (* a (* a a))) (- 1 (/ (- -4 (/ 4 a)) a)))
(* a (* a (* a a)))
(* a (* a a))
(* a a)
(pow a 4)
(+ (* a (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))) -1)
(+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))
(/ (- -4 (/ 4 a)) a)
Outputs
(+.f64 (*.f64 b (*.f64 b b)) (*.f64 b #s(literal 4 binary64)))
(+.f64 (*.f64 b #s(literal 4 binary64)) (*.f64 b (*.f64 b b)))
(-.f64 (/.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (fma.f64 b (*.f64 b b) (*.f64 #s(literal -4 binary64) b))) (/.f64 (*.f64 (*.f64 b b) #s(literal 16 binary64)) (fma.f64 b (*.f64 b b) (*.f64 #s(literal -4 binary64) b))))
(fma.f64 b #s(literal 4 binary64) (*.f64 b (*.f64 b b)))
(fma.f64 b (*.f64 b b) (*.f64 b #s(literal 4 binary64)))
(fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)) (*.f64 b #s(literal 4 binary64)))
(fma.f64 #s(literal 4 binary64) b (*.f64 b (*.f64 b b)))
(fma.f64 (*.f64 b b) b (*.f64 b #s(literal 4 binary64)))
(fma.f64 (pow.f64 b #s(literal 3/4 binary64)) (pow.f64 b #s(literal 9/4 binary64)) (*.f64 b #s(literal 4 binary64)))
(fma.f64 (pow.f64 b #s(literal 9/4 binary64)) (pow.f64 b #s(literal 3/4 binary64)) (*.f64 b #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b #s(literal 4 binary64)) (-.f64 (*.f64 b #s(literal 4 binary64)) (*.f64 b (*.f64 b b))))) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 64 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (*.f64 b b) (*.f64 #s(literal -4 binary64) b)) (*.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 b (*.f64 b b) (*.f64 #s(literal -4 binary64) b)))))
(/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 64 binary64))) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b #s(literal 4 binary64)) (-.f64 (*.f64 b #s(literal 4 binary64)) (*.f64 b (*.f64 b b))))))
(/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 64 binary64))) (fma.f64 (*.f64 b b) #s(literal 16 binary64) (-.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b #s(literal 4 binary64))))))
(/.f64 (*.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 b (*.f64 b b) (*.f64 #s(literal -4 binary64) b))) (fma.f64 b (*.f64 b b) (*.f64 #s(literal -4 binary64) b)))
(/.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 64 binary64)))) (neg.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b #s(literal 4 binary64)) (-.f64 (*.f64 b #s(literal 4 binary64)) (*.f64 b (*.f64 b b)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 b (*.f64 b b) (*.f64 #s(literal -4 binary64) b)))) (neg.f64 (fma.f64 b (*.f64 b b) (*.f64 #s(literal -4 binary64) b))))
(/.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 16 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))) (-.f64 (*.f64 b #s(literal 4 binary64)) (*.f64 b (*.f64 b b))))
(/.f64 (*.f64 b (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)) #s(literal 64 binary64))) (-.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal 16 binary64)) (*.f64 b (*.f64 b #s(literal 4 binary64)))))
(/.f64 (*.f64 b (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64))) (fma.f64 b b #s(literal -4 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)) #s(literal 64 binary64)) b) (-.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal 16 binary64)) (*.f64 b (*.f64 b #s(literal 4 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) b) (fma.f64 b b #s(literal -4 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (fma.f64 b (*.f64 b b) (*.f64 #s(literal -4 binary64) b))) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 #s(literal -4 binary64) b)) (*.f64 (*.f64 b b) #s(literal 16 binary64)))) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 #s(literal -4 binary64) b)) (fma.f64 b (*.f64 b b) (*.f64 #s(literal -4 binary64) b))))
(pow.f64 (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b #s(literal 4 binary64)) (-.f64 (*.f64 b #s(literal 4 binary64)) (*.f64 b (*.f64 b b))))) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 64 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 #s(literal -4 binary64) b)) (*.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 b (*.f64 b b) (*.f64 #s(literal -4 binary64) b)))) #s(literal -1 binary64))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b)
(*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b #s(literal 4 binary64)) (-.f64 (*.f64 b #s(literal 4 binary64)) (*.f64 b (*.f64 b b)))))))
(*.f64 (*.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 b (*.f64 b b) (*.f64 #s(literal -4 binary64) b))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b b) (*.f64 #s(literal -4 binary64) b))))
(+.f64 (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))
(+.f64 (*.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a))) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))
(+.f64 #s(literal -1 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 #s(literal 4 binary64) a)))))
(+.f64 (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))))
(+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))))
(+.f64 (fma.f64 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 #s(literal 4 binary64) a)))) #s(literal -1 binary64))
(+.f64 (+.f64 (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 b (*.f64 b #s(literal 4 binary64))))
(+.f64 (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a))))
(-.f64 (/.f64 (*.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)))))) (-.f64 (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))) (/.f64 (*.f64 (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))) (-.f64 (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))))
(fma.f64 b (*.f64 b (*.f64 b b)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))))
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 5/2 binary64)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))))
(fma.f64 (*.f64 b (*.f64 b b)) b (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))))
(fma.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) b (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))
(fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) (*.f64 b b) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))
(fma.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (*.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (*.f64 b (fma.f64 b b #s(literal 4 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 b b) (*.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (*.f64 b (fma.f64 b b #s(literal 4 binary64)))) #s(literal 1 binary64)) (*.f64 b (*.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))))) (*.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a))))
(fma.f64 (fma.f64 (*.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a))) (*.f64 (*.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a))) (*.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a))) (*.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a))) #s(literal 1 binary64)) (*.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) (*.f64 a #s(literal -1 binary64))))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))))
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simplify493.0ms (4.3%)

Memory
-4.4MiB live, 945.3MiB allocated
Algorithm
egg-herbie
Rules
21 304×accelerator-lowering-fma.f32
21 304×accelerator-lowering-fma.f64
5 638×*-lowering-*.f32
5 638×*-lowering-*.f64
2 786×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01722068
15232028
215651926
353771894
086151696
Stop Event
iter limit
node limit
Counts
216 → 216
Calls
Call 1
Inputs
(* 4 b)
(* b (+ 4 (pow b 2)))
(* b (+ 4 (pow b 2)))
(* b (+ 4 (pow b 2)))
(pow b 3)
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* -1 (* (pow b 3) (pow (sqrt -1) 2)))
(* -1 (* (pow b 3) (- (pow (sqrt -1) 2) (* 4 (/ 1 (pow b 2))))))
(* -1 (* (pow b 3) (- (pow (sqrt -1) 2) (* 4 (/ 1 (pow b 2))))))
(* -1 (* (pow b 3) (- (pow (sqrt -1) 2) (* 4 (/ 1 (pow b 2))))))
(- (* 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))))
(* -1 (* (pow b 4) (pow (sqrt -1) 2)))
(* (pow b 4) (+ (* -1 (pow (sqrt -1) 2)) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))
(* (pow b 4) (- (+ (* -1 (pow (sqrt -1) 2)) (+ (* 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 (pow (sqrt -1) 2)) (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) (/ 1 (pow b 4))))
(- (* b (+ (* 4 b) (pow b 3))) 1)
(- (+ (* -12 (* a (pow b 2))) (* b (+ (* 4 b) (pow b 3)))) 1)
(- (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* b (+ (* 4 b) (pow b 3)))) 1)
(- (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* b (+ (* 4 b) (pow b 3)))) 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)) (/ (* b (+ (* 4 b) (pow b 3))) (pow a 2))))) (/ 1 (pow a 2))))
(* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (/ (* b (+ (* 4 b) (pow b 3))) (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 (/ (- (* b (+ (* 4 b) (pow b 3))) 1) a)) (* 12 (pow b 2))) a))))
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* -1 (/ (- (* b (+ (* 4 b) (pow b 3))) 1) a)) (* 12 (pow b 2))) a))))
(sqrt (pow b 3))
(sqrt (pow b 3))
(sqrt (pow b 3))
(sqrt (pow b 3))
(sqrt (pow b 3))
(sqrt (pow b 3))
(sqrt (pow b 3))
(sqrt (pow b 3))
(* (sqrt (pow b 3)) (pow (sqrt -1) 2))
(* (sqrt (pow b 3)) (pow (sqrt -1) 2))
(* (sqrt (pow b 3)) (pow (sqrt -1) 2))
(* (sqrt (pow b 3)) (pow (sqrt -1) 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 b 2)) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* 4 b)
(* b (+ 4 (pow b 2)))
(* b (+ 4 (pow b 2)))
(* b (+ 4 (pow b 2)))
(pow b 3)
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(pow b 3)
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
4
(+ 4 (pow b 2))
(+ 4 (pow b 2))
(+ 4 (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* 4 (pow a 2))
(* (pow a 2) (+ 4 (* 4 a)))
(* (pow a 2) (+ 4 (* a (+ 4 a))))
(* (pow a 2) (+ 4 (* a (+ 4 a))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(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)
(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)
-1
(- (* -12 (* a (pow b 2))) 1)
(- (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) 1)
(- (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) 1)
(* (pow a 2) (+ 4 (* 2 (pow b 2))))
(* (pow a 2) (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))))
(* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) (/ 1 (pow a 2))))
(* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) (/ 1 (pow a 2))))
(* -1 (* (pow a 2) (- (* -2 (pow b 2)) 4)))
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* -1 (- (* -2 (pow b 2)) 4))))
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* 12 (pow b 2)) (/ 1 a)) a))))
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* 12 (pow b 2)) (/ 1 a)) a))))
(- (* 4 (pow a 2)) 1)
(- (+ (* 4 (pow a 2)) (* a (* (pow b 2) (- (* 2 a) 12)))) 1)
(- (+ (* 4 (pow a 2)) (* a (* (pow b 2) (- (* 2 a) 12)))) 1)
(- (+ (* 4 (pow a 2)) (* a (* (pow b 2) (- (* 2 a) 12)))) 1)
(* a (* (pow b 2) (- (* 2 a) 12)))
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))
(* a (* (pow b 2) (- (* 2 a) 12)))
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))
(* 4 a)
(+ (* 4 a) (* (pow b 2) (- (* 2 a) 12)))
(+ (* 4 a) (* (pow b 2) (- (* 2 a) 12)))
(+ (* 4 a) (* (pow b 2) (- (* 2 a) 12)))
(* (pow b 2) (- (* 2 a) 12))
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))
(* (pow b 2) (- (* 2 a) 12))
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))
(* -12 (pow b 2))
(+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))
(+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))
(+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))
(* a (+ 4 (* 2 (pow b 2))))
(* a (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))))
(* a (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))))
(* a (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))))
(* -1 (* a (- (* -2 (pow b 2)) 4)))
(* -1 (* a (- (+ (* -2 (pow b 2)) (* 12 (/ (pow b 2) a))) 4)))
(* -1 (* a (- (+ (* -2 (pow b 2)) (* 12 (/ (pow b 2) a))) 4)))
(* -1 (* a (- (+ (* -2 (pow b 2)) (* 12 (/ (pow b 2) a))) 4)))
(/ -4 (pow a 2))
(/ (- (* -4 a) 4) (pow a 2))
(/ (- (* -4 a) 4) (pow a 2))
(/ (- (* -4 a) 4) (pow a 2))
(/ -4 a)
(* -1 (/ (+ 4 (* 4 (/ 1 a))) a))
(* -1 (/ (+ 4 (* 4 (/ 1 a))) a))
(* -1 (/ (+ 4 (* 4 (/ 1 a))) a))
(/ -4 a)
(* -1 (/ (+ 4 (* 4 (/ 1 a))) a))
(* -1 (/ (+ 4 (* 4 (/ 1 a))) a))
(* -1 (/ (+ 4 (* 4 (/ 1 a))) a))
Outputs
(* 4 b)
(*.f64 #s(literal 4 binary64) b)
(* b (+ 4 (pow b 2)))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(* b (+ 4 (pow b 2)))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(* b (+ 4 (pow b 2)))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(pow b 3)
(*.f64 b (*.f64 b b))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(* -1 (* (pow b 3) (pow (sqrt -1) 2)))
(*.f64 b (*.f64 b b))
(* -1 (* (pow b 3) (- (pow (sqrt -1) 2) (* 4 (/ 1 (pow b 2))))))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(* -1 (* (pow b 3) (- (pow (sqrt -1) 2) (* 4 (/ 1 (pow b 2))))))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(* -1 (* (pow b 3) (- (pow (sqrt -1) 2) (* 4 (/ 1 (pow b 2))))))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(- (* 4 (pow a 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 a a) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))))) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 a a) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))))) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 a a) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))
(fma.f64 #s(literal 4 binary64) (*.f64 b b) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (/.f64 a (*.f64 b b)) #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 #s(literal -1 binary64) (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 a a) (*.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)) #s(literal 1 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 b b))))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) (/ 1 (pow b 4))))
(+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 a a) (*.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)) #s(literal 1 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 b b))))
(* -1 (* (pow b 4) (pow (sqrt -1) 2)))
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ (* -1 (pow (sqrt -1) 2)) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))
(fma.f64 #s(literal 4 binary64) (*.f64 b b) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (/.f64 a (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))))
(* (pow b 4) (- (+ (* -1 (pow (sqrt -1) 2)) (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) (/ 1 (pow b 4))))
(+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 a a) (*.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)) #s(literal 1 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 b b))))
(* (pow b 4) (- (+ (* -1 (pow (sqrt -1) 2)) (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) (/ 1 (pow b 4))))
(+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 a a) (*.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)) #s(literal 1 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 b b))))
(- (* b (+ (* 4 b) (pow b 3))) 1)
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))
(- (+ (* -12 (* a (pow b 2))) (* b (+ (* 4 b) (pow b 3)))) 1)
(fma.f64 (*.f64 b b) (fma.f64 a #s(literal -12 binary64) (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))
(- (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* b (+ (* 4 b) (pow b 3)))) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 a a) (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))) #s(literal -1 binary64)))
(- (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* b (+ (* 4 b) (pow b 3)))) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 a a) (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))) #s(literal -1 binary64)))
(* (pow a 2) (+ 4 (* 2 (pow b 2))))
(*.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))))
(* (pow a 2) (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))))
(*.f64 (*.f64 a 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)) (/ (* b (+ (* 4 b) (pow b 3))) (pow a 2))))) (/ 1 (pow a 2))))
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 b b) (/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a)) (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64))) #s(literal -1 binary64))
(* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (/ (* b (+ (* 4 b) (pow b 3))) (pow a 2))))) (/ 1 (pow a 2))))
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 b b) (/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a)) (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64))) #s(literal -1 binary64))
(* -1 (* (pow a 2) (- (* -2 (pow b 2)) 4)))
(*.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))))
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* -1 (- (* -2 (pow b 2)) 4))))
(*.f64 (*.f64 a 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 (/ (- (* b (+ (* 4 b) (pow b 3))) 1) a)) (* 12 (pow b 2))) a))))
(*.f64 (*.f64 a a) (+.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (fma.f64 b (*.f64 b #s(literal -12 binary64)) (/.f64 (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)) a)) a)))
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* -1 (/ (- (* b (+ (* 4 b) (pow b 3))) 1) a)) (* 12 (pow b 2))) a))))
(*.f64 (*.f64 a a) (+.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (fma.f64 b (*.f64 b #s(literal -12 binary64)) (/.f64 (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)) a)) a)))
(sqrt (pow b 3))
(sqrt.f64 (*.f64 b (*.f64 b b)))
(sqrt (pow b 3))
(sqrt.f64 (*.f64 b (*.f64 b b)))
(sqrt (pow b 3))
(sqrt.f64 (*.f64 b (*.f64 b b)))
(sqrt (pow b 3))
(sqrt.f64 (*.f64 b (*.f64 b b)))
(sqrt (pow b 3))
(sqrt.f64 (*.f64 b (*.f64 b b)))
(sqrt (pow b 3))
(sqrt.f64 (*.f64 b (*.f64 b b)))
(sqrt (pow b 3))
(sqrt.f64 (*.f64 b (*.f64 b b)))
(sqrt (pow b 3))
(sqrt.f64 (*.f64 b (*.f64 b b)))
(* (sqrt (pow b 3)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (*.f64 b (*.f64 b b))))
(* (sqrt (pow b 3)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (*.f64 b (*.f64 b b))))
(* (sqrt (pow b 3)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (*.f64 b (*.f64 b b))))
(* (sqrt (pow b 3)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (*.f64 b (*.f64 b 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)
(* 4 b)
(*.f64 #s(literal 4 binary64) b)
-1
#s(literal -1 binary64)
(- (* 4 (pow b 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))
(* 4 b)
(*.f64 #s(literal 4 binary64) b)
(* b (+ 4 (pow b 2)))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(* b (+ 4 (pow b 2)))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(* b (+ 4 (pow b 2)))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(pow b 3)
(*.f64 b (*.f64 b b))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(pow b 3)
(*.f64 b (*.f64 b b))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
4
#s(literal 4 binary64)
(+ 4 (pow b 2))
(fma.f64 b b #s(literal 4 binary64))
(+ 4 (pow b 2))
(fma.f64 b b #s(literal 4 binary64))
(+ 4 (pow b 2))
(fma.f64 b b #s(literal 4 binary64))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 4 binary64))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 4 binary64))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 4 binary64))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 4 binary64))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 4 binary64))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 4 binary64))
(* 4 (pow a 2))
(*.f64 #s(literal 4 binary64) (*.f64 a a))
(* (pow a 2) (+ 4 (* 4 a)))
(*.f64 a (*.f64 a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))))
(* (pow a 2) (+ 4 (* a (+ 4 a))))
(*.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))))
(* (pow a 2) (+ 4 (* a (+ 4 a))))
(*.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) a) (/.f64 #s(literal 4 binary64) (*.f64 a a)))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) a) (/.f64 #s(literal 4 binary64) (*.f64 a a)))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) a) (/.f64 #s(literal 4 binary64) (*.f64 a a)))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) a) (/.f64 #s(literal 4 binary64) (*.f64 a a)))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(pow a 4)
(*.f64 a (*.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 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 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
-1
#s(literal -1 binary64)
(- (* -12 (* a (pow b 2))) 1)
(fma.f64 b (*.f64 b (*.f64 a #s(literal -12 binary64))) #s(literal -1 binary64))
(- (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) 1)
(fma.f64 a (fma.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))
(- (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) 1)
(fma.f64 a (fma.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))
(* (pow a 2) (+ 4 (* 2 (pow b 2))))
(*.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))))
(* (pow a 2) (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))))
(*.f64 (*.f64 a a) (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64)))
(* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) (/ 1 (pow a 2))))
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) (/ 1 (pow a 2))))
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64)) #s(literal -1 binary64))
(* -1 (* (pow a 2) (- (* -2 (pow b 2)) 4)))
(*.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))))
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* -1 (- (* -2 (pow b 2)) 4))))
(*.f64 (*.f64 a a) (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64)))
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* 12 (pow b 2)) (/ 1 a)) a))))
(*.f64 (*.f64 a a) (+.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (fma.f64 b (*.f64 b #s(literal -12 binary64)) (/.f64 #s(literal -1 binary64) a)) a)))
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* 12 (pow b 2)) (/ 1 a)) a))))
(*.f64 (*.f64 a a) (+.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (fma.f64 b (*.f64 b #s(literal -12 binary64)) (/.f64 #s(literal -1 binary64) a)) a)))
(- (* 4 (pow a 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(- (+ (* 4 (pow a 2)) (* a (* (pow b 2) (- (* 2 a) 12)))) 1)
(fma.f64 a (fma.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))
(- (+ (* 4 (pow a 2)) (* a (* (pow b 2) (- (* 2 a) 12)))) 1)
(fma.f64 a (fma.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))
(- (+ (* 4 (pow a 2)) (* a (* (pow b 2) (- (* 2 a) 12)))) 1)
(fma.f64 a (fma.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))
(* a (* (pow b 2) (- (* 2 a) 12)))
(*.f64 b (*.f64 b (*.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)))))
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))
(fma.f64 a (fma.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))
(fma.f64 a (fma.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))
(fma.f64 a (fma.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))
(* a (* (pow b 2) (- (* 2 a) 12)))
(*.f64 b (*.f64 b (*.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)))))
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))
(fma.f64 a (fma.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))
(fma.f64 a (fma.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))
(fma.f64 a (fma.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))
(* 4 a)
(*.f64 #s(literal 4 binary64) a)
(+ (* 4 a) (* (pow b 2) (- (* 2 a) 12)))
(fma.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a))
(+ (* 4 a) (* (pow b 2) (- (* 2 a) 12)))
(fma.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a))
(+ (* 4 a) (* (pow b 2) (- (* 2 a) 12)))
(fma.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a))
(* (pow b 2) (- (* 2 a) 12))
(*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)))
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))
(*.f64 b (*.f64 b (fma.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -12 binary64))))
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))
(*.f64 b (*.f64 b (fma.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -12 binary64))))
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))
(*.f64 b (*.f64 b (fma.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -12 binary64))))
(* (pow b 2) (- (* 2 a) 12))
(*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)))
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))
(*.f64 b (*.f64 b (fma.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -12 binary64))))
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))
(*.f64 b (*.f64 b (fma.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -12 binary64))))
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))
(*.f64 b (*.f64 b (fma.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -12 binary64))))
(* -12 (pow b 2))
(*.f64 (*.f64 b b) #s(literal -12 binary64))
(+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))
(fma.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a))
(+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))
(fma.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a))
(+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))
(fma.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a))
(* a (+ 4 (* 2 (pow b 2))))
(*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))
(* a (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))))
(*.f64 a (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64)))
(* a (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))))
(*.f64 a (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64)))
(* a (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))))
(*.f64 a (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64)))
(* -1 (* a (- (* -2 (pow b 2)) 4)))
(*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))
(* -1 (* a (- (+ (* -2 (pow b 2)) (* 12 (/ (pow b 2) a))) 4)))
(*.f64 a (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64)))
(* -1 (* a (- (+ (* -2 (pow b 2)) (* 12 (/ (pow b 2) a))) 4)))
(*.f64 a (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64)))
(* -1 (* a (- (+ (* -2 (pow b 2)) (* 12 (/ (pow b 2) a))) 4)))
(*.f64 a (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64)))
(/ -4 (pow a 2))
(/.f64 #s(literal -4 binary64) (*.f64 a a))
(/ (- (* -4 a) 4) (pow a 2))
(/.f64 (fma.f64 a #s(literal -4 binary64) #s(literal -4 binary64)) (*.f64 a a))
(/ (- (* -4 a) 4) (pow a 2))
(/.f64 (fma.f64 a #s(literal -4 binary64) #s(literal -4 binary64)) (*.f64 a a))
(/ (- (* -4 a) 4) (pow a 2))
(/.f64 (fma.f64 a #s(literal -4 binary64) #s(literal -4 binary64)) (*.f64 a a))
(/ -4 a)
(/.f64 #s(literal -4 binary64) a)
(* -1 (/ (+ 4 (* 4 (/ 1 a))) a))
(/.f64 (fma.f64 a #s(literal -4 binary64) #s(literal -4 binary64)) (*.f64 a a))
(* -1 (/ (+ 4 (* 4 (/ 1 a))) a))
(/.f64 (fma.f64 a #s(literal -4 binary64) #s(literal -4 binary64)) (*.f64 a a))
(* -1 (/ (+ 4 (* 4 (/ 1 a))) a))
(/.f64 (fma.f64 a #s(literal -4 binary64) #s(literal -4 binary64)) (*.f64 a a))
(/ -4 a)
(/.f64 #s(literal -4 binary64) a)
(* -1 (/ (+ 4 (* 4 (/ 1 a))) a))
(/.f64 (fma.f64 a #s(literal -4 binary64) #s(literal -4 binary64)) (*.f64 a a))
(* -1 (/ (+ 4 (* 4 (/ 1 a))) a))
(/.f64 (fma.f64 a #s(literal -4 binary64) #s(literal -4 binary64)) (*.f64 a a))
(* -1 (/ (+ 4 (* 4 (/ 1 a))) a))
(/.f64 (fma.f64 a #s(literal -4 binary64) #s(literal -4 binary64)) (*.f64 a a))

eval126.0ms (1.1%)

Memory
-8.8MiB live, 311.5MiB allocated
Compiler

Compiled 52 337 to 2 073 computations (96% saved)

prune100.0ms (0.9%)

Memory
18.9MiB live, 289.1MiB allocated
Pruning

23 alts after pruning (19 fresh and 4 done)

PrunedKeptTotal
New78411795
Fresh3811
Picked235
Done011
Total78923812
Accuracy
100.0%
Counts
812 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.4%
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
79.0%
(fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 5/2 binary64)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))))
51.1%
(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 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))
67.3%
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
79.0%
(fma.f64 b (fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (sqrt.f64 (*.f64 b (*.f64 b b))) (*.f64 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)))
38.2%
(fma.f64 b (*.f64 (*.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 b (*.f64 b b) (*.f64 #s(literal -4 binary64) b))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b b) (*.f64 #s(literal -4 binary64) b)))) #s(literal -1 binary64))
67.4%
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))
47.1%
(fma.f64 b (*.f64 b (/.f64 (-.f64 #s(literal 16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 4 binary64) (*.f64 b b)))) #s(literal -1 binary64))
46.7%
(fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))
44.7%
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
43.0%
(pow.f64 a #s(literal 4 binary64))
60.9%
(-.f64 (+.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
43.6%
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
42.5%
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a #s(literal -4 binary64) #s(literal -4 binary64)) (*.f64 a a))))
43.6%
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)))
43.0%
(*.f64 (*.f64 a a) (*.f64 a a))
44.0%
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))
43.3%
(*.f64 b (*.f64 b (*.f64 b b)))
43.5%
(*.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))))
16.9%
(*.f64 a (*.f64 a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))))
43.0%
(*.f64 a (*.f64 a (*.f64 a a)))
21.3%
(*.f64 #s(literal 4 binary64) (*.f64 a a))
24.9%
#s(literal -1 binary64)
Compiler

Compiled 680 to 391 computations (42.5% saved)

simplify336.0ms (2.9%)

Memory
-14.5MiB live, 526.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 16 binary64) (*.f64 b (*.f64 b (*.f64 b b))))
cost-diff0
(*.f64 b (/.f64 (-.f64 #s(literal 16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 4 binary64) (*.f64 b b))))
cost-diff0
(fma.f64 b (*.f64 b (/.f64 (-.f64 #s(literal 16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 4 binary64) (*.f64 b b)))) #s(literal -1 binary64))
cost-diff256
(/.f64 (-.f64 #s(literal 16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 4 binary64) (*.f64 b b)))
cost-diff0
(+.f64 #s(literal 4 binary64) a)
cost-diff0
(fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))
cost-diff0
(*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))
cost-diff0
(*.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))))
cost-diff0
(*.f64 a a)
cost-diff0
(*.f64 (*.f64 a a) (*.f64 a a))
cost-diff0
(*.f64 a a)
cost-diff0
(*.f64 #s(literal 4 binary64) (*.f64 a a))
cost-diff0
(pow.f64 b #s(literal 5/2 binary64))
cost-diff0
(pow.f64 b #s(literal 3/2 binary64))
cost-diff0
(fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 5/2 binary64)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))))
cost-diff320
(fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))
Rules
11 966×accelerator-lowering-fma.f32
11 966×accelerator-lowering-fma.f64
2 822×*-lowering-*.f32
2 822×*-lowering-*.f64
1 966×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041243
1113231
2277225
3652225
41843225
52992225
64254225
76330225
87500225
08118200
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (* (pow b 3/2) (pow b 5/2)) (+ (* b (* b 4)) (+ (* a (+ (* b (* b (+ (* a 2) -12))) (* 4 a))) -1)))
(pow b 3/2)
b
3/2
(pow b 5/2)
5/2
(+ (* b (* b 4)) (+ (* a (+ (* b (* b (+ (* a 2) -12))) (* 4 a))) -1))
(* b 4)
4
(+ (* a (+ (* b (* b (+ (* a 2) -12))) (* 4 a))) -1)
a
(+ (* b (* b (+ (* a 2) -12))) (* 4 a))
(* b (+ (* a 2) -12))
(+ (* a 2) -12)
2
-12
(* 4 a)
-1
(* 4 (* a a))
4
(* a a)
a
(* (* a a) (* a a))
(* a a)
a
(* a (* a (+ (* a (+ 4 a)) 4)))
a
(* a (+ (* a (+ 4 a)) 4))
(+ (* a (+ 4 a)) 4)
(+ 4 a)
4
(+ (* b (* b (/ (- 16 (* b (* b (* b b)))) (- 4 (* b b))))) -1)
b
(* b (/ (- 16 (* b (* b (* b b)))) (- 4 (* b b))))
(/ (- 16 (* b (* b (* b b)))) (- 4 (* b b)))
(- 16 (* b (* b (* b b))))
16
(* b (* b (* b b)))
(* b (* b b))
(* b b)
(- 4 (* b b))
4
-1
Outputs
(+ (* (pow b 3/2) (pow b 5/2)) (+ (* b (* b 4)) (+ (* a (+ (* b (* b (+ (* a 2) -12))) (* 4 a))) -1)))
(fma.f64 b (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64))) (fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 5/2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))))
(pow b 3/2)
(pow.f64 b #s(literal 3/2 binary64))
b
3/2
#s(literal 3/2 binary64)
(pow b 5/2)
(pow.f64 b #s(literal 5/2 binary64))
5/2
#s(literal 5/2 binary64)
(+ (* b (* b 4)) (+ (* a (+ (* b (* b (+ (* a 2) -12))) (* 4 a))) -1))
(fma.f64 b (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)))
(* b 4)
(*.f64 b #s(literal 4 binary64))
4
#s(literal 4 binary64)
(+ (* a (+ (* b (* b (+ (* a 2) -12))) (* 4 a))) -1)
(fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))
a
(+ (* b (* b (+ (* a 2) -12))) (* 4 a))
(fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a))
(* b (+ (* a 2) -12))
(*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))
(+ (* a 2) -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 #s(literal 4 binary64) a)
-1
#s(literal -1 binary64)
(* 4 (* a a))
(*.f64 #s(literal 4 binary64) (*.f64 a a))
4
#s(literal 4 binary64)
(* a a)
(*.f64 a a)
a
(* (* a a) (* a a))
(*.f64 a (*.f64 a (*.f64 a a)))
(* a a)
(*.f64 a a)
a
(* a (* a (+ (* a (+ 4 a)) 4)))
(*.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))
a
(* a (+ (* a (+ 4 a)) 4))
(*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))
(+ (* a (+ 4 a)) 4)
(fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))
(+ 4 a)
(+.f64 #s(literal 4 binary64) a)
4
#s(literal 4 binary64)
(+ (* b (* b (/ (- 16 (* b (* b (* b b)))) (- 4 (* b b))))) -1)
(fma.f64 (*.f64 b b) (/.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -16 binary64)) (fma.f64 b b #s(literal -4 binary64))) #s(literal -1 binary64))
b
(* b (/ (- 16 (* b (* b (* b b)))) (- 4 (* b b))))
(/.f64 (*.f64 b (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -16 binary64))) (fma.f64 b b #s(literal -4 binary64)))
(/ (- 16 (* b (* b (* b b)))) (- 4 (* b b)))
(/.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -16 binary64)) (fma.f64 b b #s(literal -4 binary64)))
(- 16 (* b (* b (* b b))))
(fma.f64 b (*.f64 b (*.f64 b (neg.f64 b))) #s(literal 16 binary64))
16
#s(literal 16 binary64)
(* b (* b (* b b)))
(*.f64 b (*.f64 b (*.f64 b b)))
(* b (* b b))
(*.f64 b (*.f64 b b))
(* b b)
(*.f64 b b)
(- 4 (* b b))
(-.f64 #s(literal 4 binary64) (*.f64 b b))
4
#s(literal 4 binary64)
-1
#s(literal -1 binary64)

localize127.0ms (1.1%)

Memory
3.5MiB live, 319.4MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(*.f64 b (*.f64 b (*.f64 b b)))
accuracy99.9%
(*.f64 b (/.f64 (-.f64 #s(literal 16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 4 binary64) (*.f64 b b))))
accuracy99.9%
(*.f64 b (*.f64 b b))
accuracy69.5%
(/.f64 (-.f64 #s(literal 16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 4 binary64) (*.f64 b b)))
accuracy100.0%
(+.f64 #s(literal 4 binary64) a)
accuracy100.0%
(fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))
accuracy99.9%
(*.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))))
accuracy99.9%
(*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))
accuracy100.0%
(*.f64 a a)
accuracy99.8%
(*.f64 (*.f64 a a) (*.f64 a a))
accuracy100.0%
(*.f64 a a)
accuracy100.0%
(*.f64 #s(literal 4 binary64) (*.f64 a a))
accuracy99.9%
(*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))
accuracy99.9%
(fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a))
accuracy98.0%
(fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))
accuracy93.8%
(fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))
Samples
72.0ms246×0valid
5.0ms1valid
3.0ms2valid
Compiler

Compiled 237 to 43 computations (81.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-mult: 26.0ms (43.5% of total)
ival-pow: 15.0ms (25.1% of total)
ival-add: 11.0ms (18.4% of total)
adjust: 3.0ms (5% of total)
ival-div: 2.0ms (3.3% of total)
ival-sub: 2.0ms (3.3% of total)
exact: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series16.0ms (0.1%)

Memory
-3.5MiB live, 34.6MiB allocated
Counts
20 → 300
Calls
Call 1
Inputs
#<alt (+ (* b (* b 4)) (+ (* a (+ (* b (* b (+ (* a 2) -12))) (* 4 a))) -1))>
#<alt (+ (* (pow b 3/2) (pow b 5/2)) (+ (* b (* b 4)) (+ (* a (+ (* b (* b (+ (* a 2) -12))) (* 4 a))) -1)))>
#<alt (pow b 3/2)>
#<alt (pow b 5/2)>
#<alt (* 4 (* a a))>
#<alt (* a a)>
#<alt (* (* a a) (* a a))>
#<alt (* a (* a (+ (* a (+ 4 a)) 4)))>
#<alt (* a (+ (* a (+ 4 a)) 4))>
#<alt (+ (* a (+ 4 a)) 4)>
#<alt (+ 4 a)>
#<alt (/ (- 16 (* b (* b (* b b)))) (- 4 (* b b)))>
#<alt (+ (* b (* b (/ (- 16 (* b (* b (* b b)))) (- 4 (* b b))))) -1)>
#<alt (* b (/ (- 16 (* b (* b (* b b)))) (- 4 (* b b))))>
#<alt (- 16 (* b (* b (* b b))))>
#<alt (+ (* a (+ (* b (* b (+ (* a 2) -12))) (* 4 a))) -1)>
#<alt (+ (* b (* b (+ (* a 2) -12))) (* 4 a))>
#<alt (* b (+ (* a 2) -12))>
#<alt (* b (* b b))>
#<alt (* b (* b (* b b)))>
Outputs
#<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))))) 1)>
#<alt (- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1)>
#<alt (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))>
#<alt (* (pow b 2) (- (+ 4 (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12)))) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (+ 4 (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12)))) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (+ 4 (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12)))) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))>
#<alt (* (pow b 2) (- (+ 4 (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12)))) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (+ 4 (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12)))) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (+ 4 (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12)))) (/ 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))))))) 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)) (* 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)) (* 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 (/ (- (* 4 (pow b 2)) 1) a)) (* 12 (pow b 2))) a))))>
#<alt (* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* -1 (/ (- (* 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) (pow (sqrt -1) 2))>
#<alt (* (pow b 4) (+ (* 4 (/ 1 (pow b 2))) (+ (/ (* a (- (* 2 a) 12)) (pow b 2)) (pow (sqrt -1) 2))))>
#<alt (* (pow b 4) (- (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (+ (/ (* a (- (* 2 a) 12)) (pow b 2)) (pow (sqrt -1) 2)))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (+ (/ (* a (- (* 2 a) 12)) (pow b 2)) (pow (sqrt -1) 2)))) (/ 1 (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)))))) (pow b 4))) 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)) (+ (* 4 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 2)))))) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (+ (* 4 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (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 (/ (- (+ (* 4 (pow b 2)) (pow b 4)) 1) a)) (* 12 (pow b 2))) a))))>
#<alt (* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* -1 (/ (- (+ (* 4 (pow b 2)) (pow b 4)) 1) a)) (* 12 (pow b 2))) a))))>
#<alt (sqrt (pow b 3))>
#<alt (sqrt (pow b 3))>
#<alt (sqrt (pow b 3))>
#<alt (sqrt (pow b 3))>
#<alt (sqrt (pow b 3))>
#<alt (sqrt (pow b 3))>
#<alt (sqrt (pow b 3))>
#<alt (sqrt (pow b 3))>
#<alt (* (sqrt (pow b 3)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (pow b 3)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (pow b 3)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (pow b 3)) (pow (sqrt -1) 2))>
#<alt (sqrt (pow b 5))>
#<alt (sqrt (pow b 5))>
#<alt (sqrt (pow b 5))>
#<alt (sqrt (pow b 5))>
#<alt (sqrt (pow b 5))>
#<alt (sqrt (pow b 5))>
#<alt (sqrt (pow b 5))>
#<alt (sqrt (pow b 5))>
#<alt (* -1 (* (sqrt (pow b 5)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (pow b 5)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (pow b 5)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (pow b 5)) (pow (sqrt -1) 2)))>
#<alt (* 4 (pow a 2))>
#<alt (* 4 (pow a 2))>
#<alt (* 4 (pow a 2))>
#<alt (* 4 (pow a 2))>
#<alt (* 4 (pow a 2))>
#<alt (* 4 (pow a 2))>
#<alt (* 4 (pow a 2))>
#<alt (* 4 (pow a 2))>
#<alt (* 4 (pow a 2))>
#<alt (* 4 (pow a 2))>
#<alt (* 4 (pow a 2))>
#<alt (* 4 (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 (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 (* 4 (pow a 2))>
#<alt (* (pow a 2) (+ 4 (* 4 a)))>
#<alt (* (pow a 2) (+ 4 (* a (+ 4 a))))>
#<alt (* (pow a 2) (+ 4 (* a (+ 4 a))))>
#<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)))))>
#<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)))))>
#<alt (* 4 a)>
#<alt (* a (+ 4 (* 4 a)))>
#<alt (* a (+ 4 (* a (+ 4 a))))>
#<alt (* a (+ 4 (* a (+ 4 a))))>
#<alt (pow a 3)>
#<alt (* (pow a 3) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 3) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))>
#<alt (* (pow a 3) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))>
#<alt (pow a 3)>
#<alt (* (pow a 3) (+ 1 (* 4 (/ 1 a))))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) 1)))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) 1)))>
#<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 a)>
#<alt (+ 4 a)>
#<alt (+ 4 a)>
#<alt a>
#<alt (* a (+ 1 (* 4 (/ 1 a))))>
#<alt (* a (+ 1 (* 4 (/ 1 a))))>
#<alt (* a (+ 1 (* 4 (/ 1 a))))>
#<alt a>
#<alt (* a (+ 1 (* 4 (/ 1 a))))>
#<alt (* a (+ 1 (* 4 (/ 1 a))))>
#<alt (* a (+ 1 (* 4 (/ 1 a))))>
#<alt 4>
#<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 -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 b)>
#<alt (* b (+ 4 (pow b 2)))>
#<alt (* b (+ 4 (pow b 2)))>
#<alt (* b (+ 4 (pow b 2)))>
#<alt (pow b 3)>
#<alt (* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (pow b 3)>
#<alt (* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt 16>
#<alt (+ 16 (* -1 (pow b 4)))>
#<alt (+ 16 (* -1 (pow b 4)))>
#<alt (+ 16 (* -1 (pow b 4)))>
#<alt (* -1 (pow b 4))>
#<alt (* (pow b 4) (- (* 16 (/ 1 (pow b 4))) 1))>
#<alt (* (pow b 4) (- (* 16 (/ 1 (pow b 4))) 1))>
#<alt (* (pow b 4) (- (* 16 (/ 1 (pow b 4))) 1))>
#<alt (* -1 (pow b 4))>
#<alt (* (pow b 4) (- (* 16 (/ 1 (pow b 4))) 1))>
#<alt (* (pow b 4) (- (* 16 (/ 1 (pow b 4))) 1))>
#<alt (* (pow b 4) (- (* 16 (/ 1 (pow b 4))) 1))>
#<alt -1>
#<alt (- (* -12 (* a (pow b 2))) 1)>
#<alt (- (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) 1)>
#<alt (- (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (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)))) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 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 (/ (+ (* 12 (pow b 2)) (/ 1 a)) a))))>
#<alt (* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* 12 (pow b 2)) (/ 1 a)) a))))>
#<alt (- (* 4 (pow a 2)) 1)>
#<alt (- (+ (* 4 (pow a 2)) (* a (* (pow b 2) (- (* 2 a) 12)))) 1)>
#<alt (- (+ (* 4 (pow a 2)) (* a (* (pow b 2) (- (* 2 a) 12)))) 1)>
#<alt (- (+ (* 4 (pow a 2)) (* a (* (pow b 2) (- (* 2 a) 12)))) 1)>
#<alt (* a (* (pow b 2) (- (* 2 a) 12)))>
#<alt (* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))>
#<alt (* a (* (pow b 2) (- (* 2 a) 12)))>
#<alt (* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))>
#<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 (* b (- (* 2 a) 12))>
#<alt (* b (- (* 2 a) 12))>
#<alt (* b (- (* 2 a) 12))>
#<alt (* b (- (* 2 a) 12))>
#<alt (* b (- (* 2 a) 12))>
#<alt (* b (- (* 2 a) 12))>
#<alt (* b (- (* 2 a) 12))>
#<alt (* b (- (* 2 a) 12))>
#<alt (* b (- (* 2 a) 12))>
#<alt (* b (- (* 2 a) 12))>
#<alt (* b (- (* 2 a) 12))>
#<alt (* b (- (* 2 a) 12))>
#<alt (* -12 b)>
#<alt (+ (* -12 b) (* 2 (* a b)))>
#<alt (+ (* -12 b) (* 2 (* a b)))>
#<alt (+ (* -12 b) (* 2 (* a b)))>
#<alt (* 2 (* a b))>
#<alt (* a (+ (* -12 (/ b a)) (* 2 b)))>
#<alt (* a (+ (* -12 (/ b a)) (* 2 b)))>
#<alt (* a (+ (* -12 (/ b a)) (* 2 b)))>
#<alt (* 2 (* a b))>
#<alt (* -1 (* a (+ (* -2 b) (* 12 (/ b a)))))>
#<alt (* -1 (* a (+ (* -2 b) (* 12 (/ b a)))))>
#<alt (* -1 (* a (+ (* -2 b) (* 12 (/ b a)))))>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
Calls

75 calls:

TimeVariablePointExpression
2.0ms
b
@-inf
(+ (* a (+ (* b (* b (+ (* a 2) -12))) (* 4 a))) -1)
1.0ms
b
@0
(pow b 5/2)
1.0ms
b
@-inf
(pow b 5/2)
0.0ms
b
@inf
(+ (* b (* b (/ (- 16 (* b (* b (* b b)))) (- 4 (* b b))))) -1)
0.0ms
b
@inf
(/ (- 16 (* b (* b (* b b)))) (- 4 (* b b)))

rewrite469.0ms (4.1%)

Memory
5.2MiB live, 921.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 992×accelerator-lowering-fma.f32
5 992×accelerator-lowering-fma.f64
4 934×*-lowering-*.f32
4 934×*-lowering-*.f64
4 356×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041198
1257168
22178168
09290146
Stop Event
iter limit
node limit
Counts
20 → 774
Calls
Call 1
Inputs
(+ (* b (* b 4)) (+ (* a (+ (* b (* b (+ (* a 2) -12))) (* 4 a))) -1))
(+ (* (pow b 3/2) (pow b 5/2)) (+ (* b (* b 4)) (+ (* a (+ (* b (* b (+ (* a 2) -12))) (* 4 a))) -1)))
(pow b 3/2)
(pow b 5/2)
(* 4 (* a a))
(* a a)
(* (* a a) (* a a))
(* a (* a (+ (* a (+ 4 a)) 4)))
(* a (+ (* a (+ 4 a)) 4))
(+ (* a (+ 4 a)) 4)
(+ 4 a)
(/ (- 16 (* b (* b (* b b)))) (- 4 (* b b)))
(+ (* b (* b (/ (- 16 (* b (* b (* b b)))) (- 4 (* b b))))) -1)
(* b (/ (- 16 (* b (* b (* b b)))) (- 4 (* b b))))
(- 16 (* b (* b (* b b))))
(+ (* a (+ (* b (* b (+ (* a 2) -12))) (* 4 a))) -1)
(+ (* b (* b (+ (* a 2) -12))) (* 4 a))
(* b (+ (* a 2) -12))
(* b (* b b))
(* b (* b (* b b)))
Outputs
(+.f64 (*.f64 b (*.f64 b #s(literal 4 binary64))) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))
(+.f64 (*.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a))) (+.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b #s(literal 4 binary64)))))
(+.f64 #s(literal -1 binary64) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) (*.f64 b (*.f64 b #s(literal 4 binary64)))))
(+.f64 (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)) (*.f64 b (*.f64 b #s(literal 4 binary64))))
(+.f64 (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) (*.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 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a))))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 16 binary64) b) (*.f64 b (*.f64 b b))) (-.f64 (*.f64 b (*.f64 b #s(literal 4 binary64))) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))) (/.f64 (*.f64 (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))) (-.f64 (*.f64 b (*.f64 b #s(literal 4 binary64))) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))))
(-.f64 (/.f64 (*.f64 (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))) (-.f64 (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)) (*.f64 b (*.f64 b #s(literal 4 binary64))))) (/.f64 (*.f64 (*.f64 #s(literal 16 binary64) b) (*.f64 b (*.f64 b b))) (-.f64 (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)) (*.f64 b (*.f64 b #s(literal 4 binary64))))))
(-.f64 (/.f64 (*.f64 (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) (*.f64 b (*.f64 b #s(literal 4 binary64)))) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) (*.f64 b (*.f64 b #s(literal 4 binary64))))) (-.f64 (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) (*.f64 b (*.f64 b #s(literal 4 binary64)))) #s(literal -1 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 #s(literal 4 binary64) a)) (*.f64 b (*.f64 b #s(literal 4 binary64)))) #s(literal -1 binary64))))
(fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 b b) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))
(fma.f64 (*.f64 b #s(literal 4 binary64)) b (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))
(fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) (+.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b #s(literal 4 binary64)))))
(fma.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) a (+.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b #s(literal 4 binary64)))))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))
(fma.f64 (fma.f64 (*.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a))) (*.f64 a (*.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) (*.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a (*.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) (*.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)))) #s(literal 1 binary64)) (*.f64 a (*.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))))) (*.f64 b (*.f64 b #s(literal 4 binary64))))
(fma.f64 (fma.f64 a (*.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) (*.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal 1 binary64))) (*.f64 b (*.f64 b #s(literal 4 binary64))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 b (*.f64 (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))))) (*.f64 (*.f64 #s(literal 4 binary64) a) (-.f64 (*.f64 #s(literal 4 binary64) a) (*.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))))))) (fma.f64 (*.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))) (*.f64 b (*.f64 (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))))) (*.f64 #s(literal 64 binary64) (*.f64 a (*.f64 a a)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal -4 binary64) a)) (*.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal -4 binary64) a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (*.f64 (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))))) (*.f64 (*.f64 #s(literal 4 binary64) a) (-.f64 (*.f64 #s(literal 4 binary64) a) (*.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))))))) (fma.f64 (*.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))) (*.f64 b (*.f64 (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))))) (*.f64 #s(literal 64 binary64) (*.f64 a (*.f64 a a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal -4 binary64) a)) (*.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal -4 binary64) a)))))
(/.f64 (fma.f64 (*.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))) (*.f64 b (*.f64 (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))))) (*.f64 #s(literal 64 binary64) (*.f64 a (*.f64 a a)))) (fma.f64 b (*.f64 (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))))) (*.f64 (*.f64 #s(literal 4 binary64) a) (-.f64 (*.f64 #s(literal 4 binary64) a) (*.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))))))))
(/.f64 (fma.f64 (*.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))) (*.f64 b (*.f64 (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))))) (*.f64 #s(literal 64 binary64) (*.f64 a (*.f64 a a)))) (fma.f64 (*.f64 a a) #s(literal 16 binary64) (-.f64 (*.f64 b (*.f64 (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))))) (*.f64 (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 b (*.f64 #s(literal 4 binary64) a))))))
(/.f64 (*.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal -4 binary64) a))) (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal -4 binary64) a)))
(/.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))) (*.f64 b (*.f64 (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))))) (*.f64 #s(literal 64 binary64) (*.f64 a (*.f64 a a))))) (neg.f64 (fma.f64 b (*.f64 (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))))) (*.f64 (*.f64 #s(literal 4 binary64) a) (-.f64 (*.f64 #s(literal 4 binary64) a) (*.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))) (*.f64 b (*.f64 (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))))) (*.f64 #s(literal 64 binary64) (*.f64 a (*.f64 a a))))) (neg.f64 (fma.f64 (*.f64 a a) #s(literal 16 binary64) (-.f64 (*.f64 b (*.f64 (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))))) (*.f64 (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 b (*.f64 #s(literal 4 binary64) a)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal -4 binary64) a)))) (neg.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal -4 binary64) a))))
(/.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64)) (*.f64 b (*.f64 (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))))))) (-.f64 (*.f64 #s(literal 4 binary64) a) (*.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 b (*.f64 (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))))) (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal -4 binary64) a))) (*.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal -4 binary64) a)) (*.f64 (*.f64 a a) #s(literal 16 binary64)))) (*.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal -4 binary64) a)) (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal -4 binary64) a))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))) (*.f64 b (*.f64 (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))))) (*.f64 #s(literal 64 binary64) (*.f64 a (*.f64 a a)))))) (neg.f64 (neg.f64 (fma.f64 b (*.f64 (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))))) (*.f64 (*.f64 #s(literal 4 binary64) a) (-.f64 (*.f64 #s(literal 4 binary64) a) (*.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))))))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal -4 binary64) a))))) (neg.f64 (neg.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal -4 binary64) a)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64)) (*.f64 b (*.f64 (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))))))) (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) a) (*.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))))))
(pow.f64 (/.f64 (fma.f64 b (*.f64 (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))))) (*.f64 (*.f64 #s(literal 4 binary64) a) (-.f64 (*.f64 #s(literal 4 binary64) a) (*.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))))))) (fma.f64 (*.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))) (*.f64 b (*.f64 (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))))) (*.f64 #s(literal 64 binary64) (*.f64 a (*.f64 a a))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal -4 binary64) a)) (*.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal -4 binary64) a)))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))) (*.f64 b (*.f64 (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))))) (*.f64 #s(literal 64 binary64) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))))) (*.f64 (*.f64 #s(literal 4 binary64) a) (-.f64 (*.f64 #s(literal 4 binary64) a) (*.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))))))))
(*.f64 (*.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal -4 binary64) a))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal -4 binary64) a))))
(+.f64 (*.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 b #s(literal -12 binary64)))
(+.f64 (*.f64 b #s(literal -12 binary64)) (*.f64 b (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 b (*.f64 a #s(literal 2 binary64)))) (-.f64 (*.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 b #s(literal -12 binary64)))) (/.f64 (*.f64 (*.f64 b #s(literal -12 binary64)) (*.f64 b #s(literal -12 binary64))) (-.f64 (*.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 b #s(literal -12 binary64)))))
(fma.f64 b (*.f64 a #s(literal 2 binary64)) (*.f64 b #s(literal -12 binary64)))
(fma.f64 b #s(literal -12 binary64) (*.f64 b (*.f64 a #s(literal 2 binary64))))
(fma.f64 a (*.f64 #s(literal 2 binary64) b) (*.f64 b #s(literal -12 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 a b) (*.f64 b #s(literal -12 binary64)))
(fma.f64 (*.f64 a #s(literal 2 binary64)) b (*.f64 b #s(literal -12 binary64)))
(fma.f64 #s(literal -12 binary64) b (*.f64 b (*.f64 a #s(literal 2 binary64))))
(fma.f64 (*.f64 b a) #s(literal 2 binary64) (*.f64 b #s(literal -12 binary64)))
(fma.f64 (*.f64 b #s(literal 2 binary64)) a (*.f64 b #s(literal -12 binary64)))
(/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 8 binary64)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1728 binary64))) (fma.f64 (*.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 b (*.f64 a #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 b #s(literal -12 binary64)) (*.f64 b #s(literal -12 binary64))) (*.f64 (*.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 b #s(literal -12 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 b (*.f64 a #s(literal 2 binary64)))) (*.f64 (*.f64 b #s(literal -12 binary64)) (*.f64 b #s(literal -12 binary64)))) (-.f64 (*.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 b #s(literal -12 binary64))))
(/.f64 (*.f64 b (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 8 binary64) #s(literal -1728 binary64))) (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal 144 binary64)) (*.f64 a #s(literal -24 binary64))))
(/.f64 (*.f64 b (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -144 binary64))) (fma.f64 a #s(literal 2 binary64) #s(literal 12 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 8 binary64) #s(literal -1728 binary64)) b) (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal 144 binary64)) (*.f64 a #s(literal -24 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -144 binary64)) b) (fma.f64 a #s(literal 2 binary64) #s(literal 12 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 8 binary64)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1728 binary64)))) (neg.f64 (fma.f64 (*.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 b (*.f64 a #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 b #s(literal -12 binary64)) (*.f64 b #s(literal -12 binary64))) (*.f64 (*.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 b #s(literal -12 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 b (*.f64 a #s(literal 2 binary64)))) (*.f64 (*.f64 b #s(literal -12 binary64)) (*.f64 b #s(literal -12 binary64))))) (neg.f64 (-.f64 (*.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 b #s(literal -12 binary64)))))
(/.f64 (neg.f64 (*.f64 b (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 8 binary64) #s(literal -1728 binary64)))) (neg.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal 144 binary64)) (*.f64 a #s(literal -24 binary64)))))
(/.f64 (neg.f64 (*.f64 b (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -144 binary64)))) (neg.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 12 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 8 binary64) #s(literal -1728 binary64)) b)) (neg.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal 144 binary64)) (*.f64 a #s(literal -24 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -144 binary64)) b)) (neg.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 12 binary64))))
(/.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal -1728 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 8 binary64)))) (fma.f64 (*.f64 b #s(literal -12 binary64)) (*.f64 b #s(literal -12 binary64)) (-.f64 (*.f64 (*.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 b (*.f64 a #s(literal 2 binary64)))) (*.f64 (*.f64 b #s(literal -12 binary64)) (*.f64 b (*.f64 a #s(literal 2 binary64)))))))
(*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))
(*.f64 (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) b)
(exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)) #s(literal 3/2 binary64)))
(exp.f64 (fma.f64 #s(literal 3/2 binary64) (log.f64 b) (*.f64 #s(literal 3/2 binary64) (log.f64 b))))
(pow.f64 b #s(literal 3 binary64))
(pow.f64 (pow.f64 b #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal 3/2 binary64))
(pow.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 3/4 binary64))
(pow.f64 (pow.f64 b #s(literal 3/4 binary64)) #s(literal 4 binary64))
(*.f64 b (*.f64 b b))
(*.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)))
(*.f64 (*.f64 b b) b)
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 b)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)) #s(literal 2 binary64)))
(pow.f64 b #s(literal 4 binary64))
(pow.f64 (*.f64 b b) #s(literal 2 binary64))
(pow.f64 (neg.f64 (*.f64 b b)) #s(literal 2 binary64))
(*.f64 b (*.f64 b (*.f64 b b)))
(*.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 5/2 binary64)))
(*.f64 (pow.f64 b #s(literal 5/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)))
(*.f64 (*.f64 b b) (*.f64 b b))
(*.f64 (*.f64 b (*.f64 b b)) b)
(*.f64 (neg.f64 (*.f64 b b)) (neg.f64 (*.f64 b b)))
(*.f64 (pow.f64 b #s(literal 5/4 binary64)) (pow.f64 b #s(literal 11/4 binary64)))
(*.f64 (pow.f64 b #s(literal 3/4 binary64)) (pow.f64 b #s(literal 13/4 binary64)))
(*.f64 (pow.f64 b #s(literal 11/4 binary64)) (pow.f64 b #s(literal 5/4 binary64)))
(*.f64 (pow.f64 b #s(literal 13/4 binary64)) (pow.f64 b #s(literal 3/4 binary64)))

simplify412.0ms (3.6%)

Memory
38.0MiB live, 946.0MiB allocated
Algorithm
egg-herbie
Rules
17 078×accelerator-lowering-fma.f32
17 078×accelerator-lowering-fma.f64
4 178×+-lowering-+.f64
4 178×+-lowering-+.f32
3 820×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02183049
16832985
220142823
358002679
083052421
Stop Event
iter limit
node limit
Counts
300 → 300
Calls
Call 1
Inputs
(- (* 4 (pow a 2)) 1)
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1)
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1)
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1)
(* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))
(* (pow b 2) (- (+ 4 (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 4 (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 4 (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12)))) (/ 1 (pow b 2))))
(* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))
(* (pow b 2) (- (+ 4 (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 4 (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 4 (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12)))) (/ 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))))))) 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)) (* 4 (/ (pow b 2) (pow a 2)))))) (/ 1 (pow a 2))))
(* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (+ (* 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 (/ (- (* 4 (pow b 2)) 1) a)) (* 12 (pow b 2))) a))))
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* -1 (/ (- (* 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 (sqrt -1) 2))
(* (pow b 4) (+ (* 4 (/ 1 (pow b 2))) (+ (/ (* a (- (* 2 a) 12)) (pow b 2)) (pow (sqrt -1) 2))))
(* (pow b 4) (- (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (+ (/ (* a (- (* 2 a) 12)) (pow b 2)) (pow (sqrt -1) 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (+ (/ (* a (- (* 2 a) 12)) (pow b 2)) (pow (sqrt -1) 2)))) (/ 1 (pow b 4))))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 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)) (+ (* 4 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 2)))))) (/ 1 (pow a 2))))
(* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (+ (* 4 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (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 (/ (- (+ (* 4 (pow b 2)) (pow b 4)) 1) a)) (* 12 (pow b 2))) a))))
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* -1 (/ (- (+ (* 4 (pow b 2)) (pow b 4)) 1) a)) (* 12 (pow b 2))) a))))
(sqrt (pow b 3))
(sqrt (pow b 3))
(sqrt (pow b 3))
(sqrt (pow b 3))
(sqrt (pow b 3))
(sqrt (pow b 3))
(sqrt (pow b 3))
(sqrt (pow b 3))
(* (sqrt (pow b 3)) (pow (sqrt -1) 2))
(* (sqrt (pow b 3)) (pow (sqrt -1) 2))
(* (sqrt (pow b 3)) (pow (sqrt -1) 2))
(* (sqrt (pow b 3)) (pow (sqrt -1) 2))
(sqrt (pow b 5))
(sqrt (pow b 5))
(sqrt (pow b 5))
(sqrt (pow b 5))
(sqrt (pow b 5))
(sqrt (pow b 5))
(sqrt (pow b 5))
(sqrt (pow b 5))
(* -1 (* (sqrt (pow b 5)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow b 5)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow b 5)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow b 5)) (pow (sqrt -1) 2)))
(* 4 (pow a 2))
(* 4 (pow a 2))
(* 4 (pow a 2))
(* 4 (pow a 2))
(* 4 (pow a 2))
(* 4 (pow a 2))
(* 4 (pow a 2))
(* 4 (pow a 2))
(* 4 (pow a 2))
(* 4 (pow a 2))
(* 4 (pow a 2))
(* 4 (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)
(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)
(* 4 (pow a 2))
(* (pow a 2) (+ 4 (* 4 a)))
(* (pow a 2) (+ 4 (* a (+ 4 a))))
(* (pow a 2) (+ 4 (* a (+ 4 a))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* 4 a)
(* a (+ 4 (* 4 a)))
(* a (+ 4 (* a (+ 4 a))))
(* a (+ 4 (* a (+ 4 a))))
(pow a 3)
(* (pow a 3) (+ 1 (* 4 (/ 1 a))))
(* (pow a 3) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 3) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 3)
(* (pow a 3) (+ 1 (* 4 (/ 1 a))))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) 1)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) 1)))
4
(+ 4 (* 4 a))
(+ 4 (* a (+ 4 a)))
(+ 4 (* a (+ 4 a)))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
4
(+ 4 a)
(+ 4 a)
(+ 4 a)
a
(* a (+ 1 (* 4 (/ 1 a))))
(* a (+ 1 (* 4 (/ 1 a))))
(* a (+ 1 (* 4 (/ 1 a))))
a
(* a (+ 1 (* 4 (/ 1 a))))
(* a (+ 1 (* 4 (/ 1 a))))
(* a (+ 1 (* 4 (/ 1 a))))
4
(+ 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)))))
-1
(- (* 4 (pow b 2)) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* 4 b)
(* b (+ 4 (pow b 2)))
(* b (+ 4 (pow b 2)))
(* b (+ 4 (pow b 2)))
(pow b 3)
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(pow b 3)
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
16
(+ 16 (* -1 (pow b 4)))
(+ 16 (* -1 (pow b 4)))
(+ 16 (* -1 (pow b 4)))
(* -1 (pow b 4))
(* (pow b 4) (- (* 16 (/ 1 (pow b 4))) 1))
(* (pow b 4) (- (* 16 (/ 1 (pow b 4))) 1))
(* (pow b 4) (- (* 16 (/ 1 (pow b 4))) 1))
(* -1 (pow b 4))
(* (pow b 4) (- (* 16 (/ 1 (pow b 4))) 1))
(* (pow b 4) (- (* 16 (/ 1 (pow b 4))) 1))
(* (pow b 4) (- (* 16 (/ 1 (pow b 4))) 1))
-1
(- (* -12 (* a (pow b 2))) 1)
(- (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) 1)
(- (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) 1)
(* (pow a 2) (+ 4 (* 2 (pow b 2))))
(* (pow a 2) (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))))
(* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) (/ 1 (pow a 2))))
(* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) (/ 1 (pow a 2))))
(* -1 (* (pow a 2) (- (* -2 (pow b 2)) 4)))
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* -1 (- (* -2 (pow b 2)) 4))))
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* 12 (pow b 2)) (/ 1 a)) a))))
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* 12 (pow b 2)) (/ 1 a)) a))))
(- (* 4 (pow a 2)) 1)
(- (+ (* 4 (pow a 2)) (* a (* (pow b 2) (- (* 2 a) 12)))) 1)
(- (+ (* 4 (pow a 2)) (* a (* (pow b 2) (- (* 2 a) 12)))) 1)
(- (+ (* 4 (pow a 2)) (* a (* (pow b 2) (- (* 2 a) 12)))) 1)
(* a (* (pow b 2) (- (* 2 a) 12)))
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))
(* a (* (pow b 2) (- (* 2 a) 12)))
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))
(* 4 a)
(+ (* 4 a) (* (pow b 2) (- (* 2 a) 12)))
(+ (* 4 a) (* (pow b 2) (- (* 2 a) 12)))
(+ (* 4 a) (* (pow b 2) (- (* 2 a) 12)))
(* (pow b 2) (- (* 2 a) 12))
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))
(* (pow b 2) (- (* 2 a) 12))
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))
(* -12 (pow b 2))
(+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))
(+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))
(+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))
(* a (+ 4 (* 2 (pow b 2))))
(* a (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))))
(* a (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))))
(* a (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))))
(* -1 (* a (- (* -2 (pow b 2)) 4)))
(* -1 (* a (- (+ (* -2 (pow b 2)) (* 12 (/ (pow b 2) a))) 4)))
(* -1 (* a (- (+ (* -2 (pow b 2)) (* 12 (/ (pow b 2) a))) 4)))
(* -1 (* a (- (+ (* -2 (pow b 2)) (* 12 (/ (pow b 2) a))) 4)))
(* b (- (* 2 a) 12))
(* b (- (* 2 a) 12))
(* b (- (* 2 a) 12))
(* b (- (* 2 a) 12))
(* b (- (* 2 a) 12))
(* b (- (* 2 a) 12))
(* b (- (* 2 a) 12))
(* b (- (* 2 a) 12))
(* b (- (* 2 a) 12))
(* b (- (* 2 a) 12))
(* b (- (* 2 a) 12))
(* b (- (* 2 a) 12))
(* -12 b)
(+ (* -12 b) (* 2 (* a b)))
(+ (* -12 b) (* 2 (* a b)))
(+ (* -12 b) (* 2 (* a b)))
(* 2 (* a b))
(* a (+ (* -12 (/ b a)) (* 2 b)))
(* a (+ (* -12 (/ b a)) (* 2 b)))
(* a (+ (* -12 (/ b a)) (* 2 b)))
(* 2 (* a b))
(* -1 (* a (+ (* -2 b) (* 12 (/ b a)))))
(* -1 (* a (+ (* -2 b) (* 12 (/ b a)))))
(* -1 (* a (+ (* -2 b) (* 12 (/ b a)))))
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
Outputs
(- (* 4 (pow a 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 a a) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 a a) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 a a) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))
(*.f64 b (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64))))
(* (pow b 2) (- (+ 4 (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12)))) (/ 1 (pow b 2))))
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -12 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow b 2) (- (+ 4 (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12)))) (/ 1 (pow b 2))))
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -12 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow b 2) (- (+ 4 (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12)))) (/ 1 (pow b 2))))
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -12 binary64)) #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 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64))))
(* (pow b 2) (- (+ 4 (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12)))) (/ 1 (pow b 2))))
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -12 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow b 2) (- (+ 4 (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12)))) (/ 1 (pow b 2))))
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -12 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow b 2) (- (+ 4 (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12)))) (/ 1 (pow b 2))))
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -12 binary64)) #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 a #s(literal 2 binary64) #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 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(* (pow a 2) (+ 4 (* 2 (pow b 2))))
(*.f64 a (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))))
(* (pow a 2) (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))))
(*.f64 (*.f64 a 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)) (* 4 (/ (pow b 2) (pow a 2)))))) (/ 1 (pow a 2))))
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal -12 binary64) a) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 a a)))) #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) (pow a 2)))))) (/ 1 (pow a 2))))
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal -12 binary64) a) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 a a)))) #s(literal 4 binary64)) #s(literal -1 binary64))
(* -1 (* (pow a 2) (- (* -2 (pow b 2)) 4)))
(*.f64 a (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))))
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* -1 (- (* -2 (pow b 2)) 4))))
(*.f64 (*.f64 a 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 (/ (- (* 4 (pow b 2)) 1) a)) (* 12 (pow b 2))) a))))
(*.f64 (*.f64 a a) (-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) (/.f64 (fma.f64 b (*.f64 b #s(literal 12 binary64)) (/.f64 (fma.f64 (*.f64 b b) #s(literal -4 binary64) #s(literal 1 binary64)) a)) a)))
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* -1 (/ (- (* 4 (pow b 2)) 1) a)) (* 12 (pow b 2))) a))))
(*.f64 (*.f64 a a) (-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) (/.f64 (fma.f64 b (*.f64 b #s(literal 12 binary64)) (/.f64 (fma.f64 (*.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 #s(literal 4 binary64) (*.f64 a a) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))))) 1)
(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))) (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 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64))) (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 a #s(literal 2 binary64) #s(literal -12 binary64)) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))))
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(neg.f64 (*.f64 b (*.f64 b (*.f64 b b))))
(* (pow b 4) (- (* 16 (/ 1 (pow b 4))) 1))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 16 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))
(* (pow b 4) (- (* 16 (/ 1 (pow b 4))) 1))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 16 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))
(* (pow b 4) (- (* 16 (/ 1 (pow b 4))) 1))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 16 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))
-1
#s(literal -1 binary64)
(- (* -12 (* a (pow b 2))) 1)
(fma.f64 a (*.f64 (*.f64 b b) #s(literal -12 binary64)) #s(literal -1 binary64))
(- (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) 1)
(fma.f64 a (fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))) #s(literal -1 binary64))
(- (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) 1)
(fma.f64 a (fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))) #s(literal -1 binary64))
(* (pow a 2) (+ 4 (* 2 (pow b 2))))
(*.f64 a (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))))
(* (pow a 2) (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))))
(*.f64 (*.f64 a a) (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64)))
(* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) (/ 1 (pow a 2))))
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) (/ 1 (pow a 2))))
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64)) #s(literal -1 binary64))
(* -1 (* (pow a 2) (- (* -2 (pow b 2)) 4)))
(*.f64 a (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))))
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* -1 (- (* -2 (pow b 2)) 4))))
(*.f64 (*.f64 a a) (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64)))
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* 12 (pow b 2)) (/ 1 a)) a))))
(*.f64 (*.f64 a a) (+.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) (/.f64 (fma.f64 b (*.f64 b #s(literal -12 binary64)) (/.f64 #s(literal -1 binary64) a)) a)))
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* 12 (pow b 2)) (/ 1 a)) a))))
(*.f64 (*.f64 a a) (+.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) (/.f64 (fma.f64 b (*.f64 b #s(literal -12 binary64)) (/.f64 #s(literal -1 binary64) a)) a)))
(- (* 4 (pow a 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(- (+ (* 4 (pow a 2)) (* a (* (pow b 2) (- (* 2 a) 12)))) 1)
(fma.f64 a (fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))) #s(literal -1 binary64))
(- (+ (* 4 (pow a 2)) (* a (* (pow b 2) (- (* 2 a) 12)))) 1)
(fma.f64 a (fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))) #s(literal -1 binary64))
(- (+ (* 4 (pow a 2)) (* a (* (pow b 2) (- (* 2 a) 12)))) 1)
(fma.f64 a (fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))) #s(literal -1 binary64))
(* a (* (pow b 2) (- (* 2 a) 12)))
(*.f64 a (*.f64 (*.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))))
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))
(fma.f64 (*.f64 b b) (*.f64 a (fma.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -12 binary64))) #s(literal -1 binary64))
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))
(fma.f64 (*.f64 b b) (*.f64 a (fma.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -12 binary64))) #s(literal -1 binary64))
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))
(fma.f64 (*.f64 b b) (*.f64 a (fma.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -12 binary64))) #s(literal -1 binary64))
(* a (* (pow b 2) (- (* 2 a) 12)))
(*.f64 a (*.f64 (*.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))))
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))
(fma.f64 (*.f64 b b) (*.f64 a (fma.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -12 binary64))) #s(literal -1 binary64))
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))
(fma.f64 (*.f64 b b) (*.f64 a (fma.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -12 binary64))) #s(literal -1 binary64))
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))
(fma.f64 (*.f64 b b) (*.f64 a (fma.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -12 binary64))) #s(literal -1 binary64))
(* 4 a)
(*.f64 #s(literal 4 binary64) a)
(+ (* 4 a) (* (pow b 2) (- (* 2 a) 12)))
(fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))))
(+ (* 4 a) (* (pow b 2) (- (* 2 a) 12)))
(fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))))
(+ (* 4 a) (* (pow b 2) (- (* 2 a) 12)))
(fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))))
(* (pow b 2) (- (* 2 a) 12))
(*.f64 (*.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))
(*.f64 (*.f64 b b) (fma.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -12 binary64)))
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))
(*.f64 (*.f64 b b) (fma.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -12 binary64)))
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))
(*.f64 (*.f64 b b) (fma.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -12 binary64)))
(* (pow b 2) (- (* 2 a) 12))
(*.f64 (*.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))
(*.f64 (*.f64 b b) (fma.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -12 binary64)))
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))
(*.f64 (*.f64 b b) (fma.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -12 binary64)))
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))
(*.f64 (*.f64 b b) (fma.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -12 binary64)))
(* -12 (pow b 2))
(*.f64 (*.f64 b b) #s(literal -12 binary64))
(+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))
(fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))))
(+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))
(fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))))
(+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))
(fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))))
(* a (+ 4 (* 2 (pow b 2))))
(*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))
(* a (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))))
(*.f64 a (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64)))
(* a (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))))
(*.f64 a (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64)))
(* a (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))))
(*.f64 a (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64)))
(* -1 (* a (- (* -2 (pow b 2)) 4)))
(*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))
(* -1 (* a (- (+ (* -2 (pow b 2)) (* 12 (/ (pow b 2) a))) 4)))
(*.f64 a (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64)))
(* -1 (* a (- (+ (* -2 (pow b 2)) (* 12 (/ (pow b 2) a))) 4)))
(*.f64 a (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64)))
(* -1 (* a (- (+ (* -2 (pow b 2)) (* 12 (/ (pow b 2) a))) 4)))
(*.f64 a (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64)))
(* b (- (* 2 a) 12))
(*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))
(* b (- (* 2 a) 12))
(*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))
(* b (- (* 2 a) 12))
(*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))
(* b (- (* 2 a) 12))
(*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))
(* b (- (* 2 a) 12))
(*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))
(* b (- (* 2 a) 12))
(*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))
(* b (- (* 2 a) 12))
(*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))
(* b (- (* 2 a) 12))
(*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))
(* b (- (* 2 a) 12))
(*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))
(* b (- (* 2 a) 12))
(*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))
(* b (- (* 2 a) 12))
(*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))
(* b (- (* 2 a) 12))
(*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))
(* -12 b)
(*.f64 b #s(literal -12 binary64))
(+ (* -12 b) (* 2 (* a b)))
(*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))
(+ (* -12 b) (* 2 (* a b)))
(*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))
(+ (* -12 b) (* 2 (* a b)))
(*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))
(* 2 (* a b))
(*.f64 a (*.f64 #s(literal 2 binary64) b))
(* a (+ (* -12 (/ b a)) (* 2 b)))
(*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))
(* a (+ (* -12 (/ b a)) (* 2 b)))
(*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))
(* a (+ (* -12 (/ b a)) (* 2 b)))
(*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))
(* 2 (* a b))
(*.f64 a (*.f64 #s(literal 2 binary64) b))
(* -1 (* a (+ (* -2 b) (* 12 (/ b a)))))
(*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))
(* -1 (* a (+ (* -2 b) (* 12 (/ b a)))))
(*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))
(* -1 (* a (+ (* -2 b) (* 12 (/ b a)))))
(*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))

eval174.0ms (1.5%)

Memory
-5.3MiB live, 429.8MiB allocated
Compiler

Compiled 57 026 to 3 092 computations (94.6% saved)

prune192.0ms (1.7%)

Memory
8.2MiB live, 360.9MiB allocated
Pruning

25 alts after pruning (18 fresh and 7 done)

PrunedKeptTotal
New1 102101 112
Fresh6814
Picked235
Done044
Total1 110251 135
Accuracy
100.0%
Counts
1 135 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.4%
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
51.1%
(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 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))
51.0%
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) (fma.f64 (/.f64 b (*.f64 a a)) (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal 4 binary64))) #s(literal -1 binary64))
67.3%
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
43.6%
(fma.f64 (*.f64 a a) #s(literal 4 binary64) (*.f64 (*.f64 a (+.f64 #s(literal 4 binary64) a)) (*.f64 a a)))
67.4%
(fma.f64 b (/.f64 b (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 4 binary64)))) #s(literal -1 binary64))
47.1%
(fma.f64 b (*.f64 (-.f64 #s(literal 16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 b b))) b)) #s(literal -1 binary64))
67.4%
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))
46.9%
(fma.f64 b (*.f64 b (/.f64 (neg.f64 (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 4 binary64) (*.f64 b b)))) #s(literal -1 binary64))
46.7%
(fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))
44.7%
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
43.0%
(pow.f64 a #s(literal 4 binary64))
27.0%
(/.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal 4 binary64) a) (+.f64 #s(literal 4 binary64) a)) #s(literal -16 binary64))) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)))
60.9%
(-.f64 (+.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
43.6%
(*.f64 (*.f64 (*.f64 a (*.f64 a a)) a) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
43.0%
(*.f64 (*.f64 a a) (*.f64 a a))
44.0%
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))
43.3%
(*.f64 b (*.f64 b (*.f64 b b)))
26.3%
(*.f64 a (/.f64 (*.f64 (fma.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal 4 binary64) a) (+.f64 #s(literal 4 binary64) a)) #s(literal -16 binary64)) a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal -4 binary64))))
43.5%
(*.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))))
16.9%
(*.f64 a (*.f64 a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))
43.6%
(*.f64 a (*.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))))
43.0%
(*.f64 a (*.f64 a (*.f64 a a)))
21.3%
(*.f64 #s(literal 4 binary64) (*.f64 a a))
24.9%
#s(literal -1 binary64)
Compiler

Compiled 1 409 to 404 computations (71.3% saved)

regimes82.0ms (0.7%)

Memory
-38.2MiB live, 90.5MiB allocated
Counts
47 → 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))
(*.f64 a (*.f64 a (*.f64 a a)))
(*.f64 b (*.f64 b (*.f64 b b)))
(*.f64 (*.f64 a a) (*.f64 a a))
(*.f64 a (*.f64 a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))))
(*.f64 a (*.f64 a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
(*.f64 a (*.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))))
(-.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))))
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) #s(literal 4 binary64) (*.f64 (*.f64 a (+.f64 #s(literal 4 binary64) a)) (*.f64 a a)))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)))
(*.f64 (*.f64 (*.f64 a (*.f64 a a)) a) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(fma.f64 b (/.f64 b (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 4 binary64)))) #s(literal -1 binary64))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a #s(literal -4 binary64) #s(literal -4 binary64)) (*.f64 a a))))
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))
(fma.f64 b (*.f64 b (/.f64 (neg.f64 (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 4 binary64) (*.f64 b b)))) #s(literal -1 binary64))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a)))
(fma.f64 b (*.f64 b (/.f64 (-.f64 #s(literal 16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 4 binary64) (*.f64 b b)))) #s(literal -1 binary64))
(*.f64 a (/.f64 (*.f64 (fma.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal 4 binary64) a) (+.f64 #s(literal 4 binary64) a)) #s(literal -16 binary64)) a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal -4 binary64))))
(/.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal 4 binary64) a) (+.f64 #s(literal 4 binary64) a)) #s(literal -16 binary64))) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)))
(fma.f64 b (*.f64 (-.f64 #s(literal 16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 b b))) b)) #s(literal -1 binary64))
(*.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)))
(-.f64 (+.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) (fma.f64 (/.f64 b (*.f64 a a)) (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 b (*.f64 (*.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 b (*.f64 b b) (*.f64 #s(literal -4 binary64) b))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b b) (*.f64 #s(literal -4 binary64) b)))) #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 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.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))
(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)))
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(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)))) (fma.f64 a a (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a)))) (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 (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 b (fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (sqrt.f64 (*.f64 b (*.f64 b b))) (*.f64 b #s(literal 4 binary64))) (fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))
(-.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
(*.f64 (fma.f64 (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (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))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal 1 binary64)))))
(fma.f64 b (fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)) (*.f64 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 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 5/2 binary64)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))))
(-.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))) (-.f64 (*.f64 a (fma.f64 a a a)) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))))) #s(literal 4 binary64)) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (-.f64 (*.f64 a (fma.f64 a a a)) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))) (*.f64 (*.f64 (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 (fma.f64 a a a)) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b))))) #s(literal 1 binary64))
Outputs
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
(*.f64 (*.f64 a (*.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)))
Calls

5 calls:

20.0ms
b
17.0ms
(*.f64 b b)
13.0ms
a
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))))))
11.0ms
(-.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
99.1%3a
98.4%3b
99.9%2(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
99.9%2(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
98.4%3(*.f64 b b)
Compiler

Compiled 75 to 44 computations (41.3% saved)

regimes59.0ms (0.5%)

Memory
13.4MiB live, 94.8MiB allocated
Counts
35 → 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))
(*.f64 a (*.f64 a (*.f64 a a)))
(*.f64 b (*.f64 b (*.f64 b b)))
(*.f64 (*.f64 a a) (*.f64 a a))
(*.f64 a (*.f64 a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))))
(*.f64 a (*.f64 a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
(*.f64 a (*.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))))
(-.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))))
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) #s(literal 4 binary64) (*.f64 (*.f64 a (+.f64 #s(literal 4 binary64) a)) (*.f64 a a)))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)))
(*.f64 (*.f64 (*.f64 a (*.f64 a a)) a) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(fma.f64 b (/.f64 b (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 4 binary64)))) #s(literal -1 binary64))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a #s(literal -4 binary64) #s(literal -4 binary64)) (*.f64 a a))))
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))
(fma.f64 b (*.f64 b (/.f64 (neg.f64 (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 4 binary64) (*.f64 b b)))) #s(literal -1 binary64))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a)))
(fma.f64 b (*.f64 b (/.f64 (-.f64 #s(literal 16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 4 binary64) (*.f64 b b)))) #s(literal -1 binary64))
(*.f64 a (/.f64 (*.f64 (fma.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal 4 binary64) a) (+.f64 #s(literal 4 binary64) a)) #s(literal -16 binary64)) a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal -4 binary64))))
(/.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal 4 binary64) a) (+.f64 #s(literal 4 binary64) a)) #s(literal -16 binary64))) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)))
(fma.f64 b (*.f64 (-.f64 #s(literal 16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 b b))) b)) #s(literal -1 binary64))
(*.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)))
(-.f64 (+.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) (fma.f64 (/.f64 b (*.f64 a a)) (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 b (*.f64 (*.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 b (*.f64 b b) (*.f64 #s(literal -4 binary64) b))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b b) (*.f64 #s(literal -4 binary64) b)))) #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 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))
Outputs
(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 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 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
Calls

5 calls:

16.0ms
b
14.0ms
a
9.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
9.0ms
(*.f64 b b)
9.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
98.4%3b
98.4%3(*.f64 b b)
96.9%3a
88.0%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))
88.0%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))))))
Compiler

Compiled 75 to 44 computations (41.3% saved)

regimes16.0ms (0.1%)

Memory
1.6MiB live, 40.3MiB 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))
(*.f64 a (*.f64 a (*.f64 a a)))
(*.f64 b (*.f64 b (*.f64 b b)))
(*.f64 (*.f64 a a) (*.f64 a a))
(*.f64 a (*.f64 a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))))
(*.f64 a (*.f64 a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
(*.f64 a (*.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))))
(-.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))))
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) #s(literal 4 binary64) (*.f64 (*.f64 a (+.f64 #s(literal 4 binary64) a)) (*.f64 a a)))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)))
(*.f64 (*.f64 (*.f64 a (*.f64 a a)) a) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(fma.f64 b (/.f64 b (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 4 binary64)))) #s(literal -1 binary64))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a #s(literal -4 binary64) #s(literal -4 binary64)) (*.f64 a a))))
Outputs
(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 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))
Calls

2 calls:

9.0ms
b
6.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
95.4%2b
95.4%2(*.f64 b b)
Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes18.0ms (0.2%)

Memory
-6.9MiB live, 31.6MiB 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))
(*.f64 a (*.f64 a (*.f64 a a)))
(*.f64 b (*.f64 b (*.f64 b b)))
(*.f64 (*.f64 a a) (*.f64 a a))
(*.f64 a (*.f64 a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))))
(*.f64 a (*.f64 a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
(*.f64 a (*.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))))
(-.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))))
Outputs
(-.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1 binary64))
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))
Calls

3 calls:

7.0ms
a
5.0ms
b
5.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
92.9%3a
94.4%2b
94.4%2(*.f64 b b)
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes14.0ms (0.1%)

Memory
26.2MiB live, 26.2MiB 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))
(*.f64 a (*.f64 a (*.f64 a a)))
(*.f64 b (*.f64 b (*.f64 b b)))
(*.f64 (*.f64 a a) (*.f64 a a))
(*.f64 a (*.f64 a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))))
(*.f64 a (*.f64 a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
(*.f64 a (*.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))))
Outputs
(*.f64 a (*.f64 a (*.f64 a a)))
(fma.f64 b (*.f64 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
92.9%3a
83.1%3b
83.1%3(*.f64 b b)
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes20.0ms (0.2%)

Memory
-4.6MiB live, 33.8MiB 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))
(*.f64 a (*.f64 a (*.f64 a a)))
(*.f64 b (*.f64 b (*.f64 b b)))
(*.f64 (*.f64 a a) (*.f64 a a))
(*.f64 a (*.f64 a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))))
(*.f64 a (*.f64 a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))
Outputs
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))
Calls

5 calls:

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))))))
4.0ms
a
4.0ms
b
3.0ms
(*.f64 b b)
3.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
80.9%2b
80.9%2(*.f64 b b)
79.3%3(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
79.3%3(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
78.4%3a
Compiler

Compiled 75 to 44 computations (41.3% saved)

regimes11.0ms (0.1%)

Memory
-30.3MiB live, 13.5MiB 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))
(*.f64 a (*.f64 a (*.f64 a a)))
(*.f64 b (*.f64 b (*.f64 b b)))
(*.f64 (*.f64 a a) (*.f64 a a))
(*.f64 a (*.f64 a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))))
(*.f64 a (*.f64 a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))
Outputs
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(*.f64 b (*.f64 b (*.f64 b b)))
Calls

2 calls:

3.0ms
b
3.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
80.2%2(*.f64 b b)
80.2%2b
Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes12.0ms (0.1%)

Memory
22.2MiB live, 22.2MiB allocated
Counts
5 → 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))
(*.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:

2.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
2.0ms
b
2.0ms
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
78.4%3a
66.8%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))
66.8%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))))))
68.7%3(*.f64 b b)
68.7%3b
Compiler

Compiled 75 to 44 computations (41.3% saved)

regimes13.0ms (0.1%)

Memory
-18.8MiB live, 18.0MiB allocated
Counts
4 → 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))
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

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))))))
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
52.2%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))))))
63.2%2(*.f64 b b)
63.2%2b
63.1%3a
Compiler

Compiled 75 to 44 computations (41.3% saved)

regimes9.0ms (0.1%)

Memory
16.3MiB live, 16.3MiB 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
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))))))
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
44.7%1(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
44.7%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
44.7%1a
44.7%1(*.f64 b b)
44.7%1b
Compiler

Compiled 75 to 44 computations (41.3% saved)

regimes8.0ms (0.1%)

Memory
14.5MiB live, 14.5MiB 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
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
2.0ms
b
1.0ms
a
1.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
1.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
31.4%2b
31.4%2(*.f64 b b)
44.9%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))
44.9%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))))))
44.6%3a
Compiler

Compiled 75 to 44 computations (41.3% saved)

regimes9.0ms (0.1%)

Memory
-25.3MiB live, 13.2MiB 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:

3.0ms
(*.f64 b b)
1.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
1.0ms
a
1.0ms
b
1.0ms
(-.f64 (+.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
24.9%1b
24.9%1(*.f64 b b)
24.9%1a
24.9%1(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
24.9%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
Compiler

Compiled 75 to 44 computations (41.3% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
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
1.5258364989832865e+115
1.584112142922244e+126
0.0ms
2.7227880088877765e-15
1.1821119556258197e-9
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
2.7227880088877765e-15
1.1821119556258197e-9
Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.7227880088877765e-15
1.1821119556258197e-9
Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch35.0ms (0.3%)

Memory
5.6MiB live, 43.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
2.596570335347124e+76
8.215645330990138e+76
18.0ms
-1.3049457275327118e+88
-7.934225610282363e+79
Samples
23.0ms224×0valid
Compiler

Compiled 344 to 219 computations (36.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 7.0ms (38.5% of total)
ival-sub: 5.0ms (27.5% of total)
ival-add: 4.0ms (22% of total)
ival-pow2: 2.0ms (11% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch21.0ms (0.2%)

Memory
27.5MiB live, 27.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
18.0ms
3.4381855034681006e-5
5036.987877692807
Samples
13.0ms144×0valid
Compiler

Compiled 216 to 149 computations (31% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 4.0ms (41.7% of total)
ival-add: 2.0ms (20.8% of total)
ival-sub: 1.0ms (10.4% of total)
ival-pow2: 1.0ms (10.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch27.0ms (0.2%)

Memory
-14.6MiB live, 27.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
24.0ms
3.4381855034681006e-5
5036.987877692807
Samples
19.0ms144×0valid
Compiler

Compiled 207 to 140 computations (32.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 10.0ms (64.3% of total)
ival-add: 2.0ms (12.9% of total)
ival-sub: 1.0ms (6.4% of total)
ival-pow2: 1.0ms (6.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch27.0ms (0.2%)

Memory
6.3MiB live, 44.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
0.3185865615623301
2.4539954917739055
8.0ms
-92885800912.63461
-47245295323.17659
Samples
18.0ms160×0valid
Compiler

Compiled 226 to 153 computations (32.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 5.0ms (45.9% of total)
ival-add: 3.0ms (27.5% of total)
ival-pow2: 2.0ms (18.3% of total)
ival-sub: 1.0ms (9.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch19.0ms (0.2%)

Memory
-7.7MiB live, 30.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
16.0ms
1.0055460343371178e+138
1.415428708329479e+140
Samples
12.0ms112×0valid
Compiler

Compiled 162 to 121 computations (25.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 4.0ms (52% of total)
ival-add: 2.0ms (26% of total)
ival-sub: 1.0ms (13% of total)
ival-pow2: 1.0ms (13% 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, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.5456341376086831
119.46675498547171
Compiler

Compiled 36 to 25 computations (30.6% saved)

simplify34.0ms (0.3%)

Memory
-9.8MiB live, 28.0MiB allocated
Algorithm
egg-herbie
Rules
178×distribute-lft-neg-in_binary64
152×unsub-neg_binary64
126×neg-mul-1_binary64
104×neg-sub0_binary64
76×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089340
1130340
2156340
3181340
4211340
5248340
6303340
7433340
8542340
9626340
10685340
11725340
12736340
13738340
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal +inf.0 binary64)) (-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) (*.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))))
(if (<=.f64 (*.f64 b b) #s(literal 6338253001141147/1267650600228229401496703205376 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)) (if (<=.f64 (*.f64 b b) #s(literal 20000000000000000311188322589336860485364027938421228667395411608616675623295114065299707798300948953524125617356800 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 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 6338253001141147/1267650600228229401496703205376 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 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))
(if (<=.f64 (*.f64 b b) #s(literal 6338253001141147/1267650600228229401496703205376 binary64)) (-.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1 binary64)) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))
(if (<=.f64 a #s(literal -79999999999999997388480600052764153781971228853199839306128196949064025775276032 binary64)) (*.f64 a (*.f64 a (*.f64 a a))) (if (<=.f64 a #s(literal 25999999999999999295237843782753878667700452851058116960481052251384046419968 binary64)) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))))
(if (<=.f64 b #s(literal 190 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))))
(if (<=.f64 b #s(literal 2900 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 -56000000000 binary64)) (*.f64 a (*.f64 a (*.f64 a a))) (if (<=.f64 a #s(literal 5404319552844595/2251799813685248 binary64)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))))
(if (<=.f64 b #s(literal 139999999999999991376699372683717672019875598634924840803630220390600195272854413888044359461654921271968721875499444029186548188322442772480 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 1 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 +inf.0 binary64)) (-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) (*.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))))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 a #s(literal 1 binary64))) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 a #s(literal 3 binary64))))))) #s(literal +inf.0 binary64)) (+.f64 (+.f64 (*.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)))))) (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))))) #s(literal -1 binary64)) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) a) #s(literal -4 binary64)) a))))
(if (<=.f64 (*.f64 b b) #s(literal 6338253001141147/1267650600228229401496703205376 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)) (if (<=.f64 (*.f64 b b) #s(literal 20000000000000000311188322589336860485364027938421228667395411608616675623295114065299707798300948953524125617356800 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 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 6338253001141147/1267650600228229401496703205376 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)) (if (<=.f64 (*.f64 b b) #s(literal 20000000000000000311188322589336860485364027938421228667395411608616675623295114065299707798300948953524125617356800 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 a #s(literal 4 binary64))) #s(literal -1 binary64))) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 6338253001141147/1267650600228229401496703205376 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 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))
(if (<=.f64 (*.f64 b b) #s(literal 6338253001141147/1267650600228229401496703205376 binary64)) (-.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1 binary64)) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))
(if (<=.f64 (*.f64 b b) #s(literal 6338253001141147/1267650600228229401496703205376 binary64)) (+.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal -1 binary64)) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))
(if (<=.f64 a #s(literal -79999999999999997388480600052764153781971228853199839306128196949064025775276032 binary64)) (*.f64 a (*.f64 a (*.f64 a a))) (if (<=.f64 a #s(literal 25999999999999999295237843782753878667700452851058116960481052251384046419968 binary64)) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))))
(if (<=.f64 b #s(literal 190 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))))
(if (<=.f64 b #s(literal 2900 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 -56000000000 binary64)) (*.f64 a (*.f64 a (*.f64 a a))) (if (<=.f64 a #s(literal 5404319552844595/2251799813685248 binary64)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))))
(if (<=.f64 b #s(literal 139999999999999991376699372683717672019875598634924840803630220390600195272854413888044359461654921271968721875499444029186548188322442772480 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 1 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 1 binary64)) #s(literal -1 binary64) (*.f64 (*.f64 a a) #s(literal 4 binary64)))
#s(literal -1 binary64)

soundness1.2s (10.7%)

Memory
3.1MiB live, 769.9MiB allocated
Rules
22 048×accelerator-lowering-fma.f32
22 048×accelerator-lowering-fma.f64
21 304×accelerator-lowering-fma.f32
21 304×accelerator-lowering-fma.f64
9 182×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01722068
15232028
215651926
353771894
086151696
019102
1132102
21240102
0823582
05834948
118794669
267034614
085724221
01852332
16002246
218372184
358192098
081701858
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 666 to 297 computations (55.4% saved)

preprocess70.0ms (0.6%)

Memory
-7.7MiB live, 110.8MiB allocated
Remove

(abs b)

Compiler

Compiled 960 to 290 computations (69.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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