quad2p (problem 3.2.1, positive)

Time bar (total: 12.1s)

analyze103.0ms (0.9%)

Memory
0.8MiB live, 115.2MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
37.5%37.4%62.4%0.1%0%0%0%5
37.5%37.4%62.4%0.1%0%0%0%6
42.6%40.6%54.6%0.1%0%4.7%0%7
51.2%48.4%46%0.1%0%5.5%0%8
54.5%49.9%41.7%0.1%0%8.2%0%9
60.2%53.4%35.3%0.1%0%11.1%0%10
67.6%58.7%28.2%0.1%0%13%0%11
71.4%60.6%24.2%0.1%0%15.1%0%12
Compiler

Compiled 15 to 12 computations (20% saved)

sample1.7s (13.8%)

Memory
20.8MiB live, 1 630.6MiB allocated
Samples
558.0ms5 610×0valid
356.0ms1 168×2valid
199.0ms1 316×1valid
105.0ms1 049×0invalid
89.0ms162×3valid
Precisions
Click to see histograms. Total time spent on operations: 772.0ms
ival-mult: 200.0ms (25.9% of total)
ival-sqrt: 145.0ms (18.8% of total)
ival-add: 138.0ms (17.9% of total)
ival-div: 101.0ms (13.1% of total)
ival-neg: 66.0ms (8.6% of total)
ival-sub: 62.0ms (8% of total)
adjust: 48.0ms (6.2% of total)
ival-true: 7.0ms (0.9% of total)
ival-assert: 4.0ms (0.5% of total)
Bogosity

preprocess136.0ms (1.1%)

Memory
-29.4MiB live, 130.3MiB allocated
Algorithm
egg-herbie
Rules
1 014×div-sub
798×times-frac
442×associate-/r*
416×accelerator-lowering-fma.f32
416×accelerator-lowering-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048131
1119123
2250121
3694121
41801121
53275121
63876121
73981121
84069121
94093121
104093121
01013
12112
23812
36712
410612
518212
631412
746012
880212
991512
1094712
1195812
1295912
095912
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
Outputs
(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 a c #s(literal 0 binary64)))) b_2) a)
Call 2
Inputs
(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* (neg a) c)))) (neg a))
(/ (+ (neg (neg b_2)) (sqrt (- (* (neg b_2) (neg b_2)) (* a c)))) a)
(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a (neg c))))) a)
(neg (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* (neg a) c)))) (neg a)))
(neg (/ (+ (neg (neg b_2)) (sqrt (- (* (neg b_2) (neg b_2)) (* a c)))) a))
(neg (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a (neg c))))) a))
(/ (+ (neg a) (sqrt (- (* a a) (* b_2 c)))) b_2)
(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* c a)))) c)
(/ (+ (neg c) (sqrt (- (* c c) (* a b_2)))) a)
Outputs
(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* (neg a) c)))) (neg a))
(/ (- b_2 (sqrt (+ (* b_2 b_2) (* a c)))) a)
(/ (+ (neg (neg b_2)) (sqrt (- (* (neg b_2) (neg b_2)) (* a c)))) a)
(/ (+ b_2 (sqrt (- (* b_2 b_2) (* a c)))) a)
(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a (neg c))))) a)
(/ (- (sqrt (+ (* b_2 b_2) (* a c))) b_2) a)
(neg (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* (neg a) c)))) (neg a)))
(/ (- (sqrt (+ (* b_2 b_2) (* a c))) b_2) a)
(neg (/ (+ (neg (neg b_2)) (sqrt (- (* (neg b_2) (neg b_2)) (* a c)))) a))
(/ (+ b_2 (sqrt (- (* b_2 b_2) (* a c)))) (neg a))
(neg (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a (neg c))))) a))
(/ (- b_2 (sqrt (+ (* b_2 b_2) (* a c)))) a)
(/ (+ (neg a) (sqrt (- (* a a) (* b_2 c)))) b_2)
(/ (- (sqrt (- (* a a) (* b_2 c))) a) b_2)
(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* c a)))) c)
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) c)
(/ (+ (neg c) (sqrt (- (* c c) (* a b_2)))) a)
(/ (- (sqrt (- (* c c) (* b_2 a))) c) a)

explain156.0ms (1.3%)

Memory
-1.3MiB live, 357.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1030-0-(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
500-0-(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
140-0-(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
40-0-(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
00-0-(*.f64 b_2 b_2)
00-0-a
00-0-(neg.f64 b_2)
00-0-b_2
00-0-(*.f64 a c)
00-0-c
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))oflow-rescue980
(*.f64 b_2 b_2)overflow86
(*.f64 a c)overflow24
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))overflow98
+.f64(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))cancellation500
/.f64(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)u/n140
(*.f64 b_2 b_2)underflow49
(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))underflow26
(*.f64 a c)underflow36
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))underflow5
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))uflow-rescue50
(*.f64 b_2 b_2)underflow49
(*.f64 a c)underflow36
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))underflow5
-.f64(-.f64 (*.f64 b_2 b_2) (*.f64 a c))nan-rescue40
(*.f64 b_2 b_2)overflow86
(*.f64 a c)overflow24
Confusion
Predicted +Predicted -
+1120
-24120
Precision
0.8235294117647058
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+11200
-240120
Precision?
0.8235294117647058
Recall?
1.0
Freqs
test
numberfreq
0120
1103
231
32
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
29.0ms360×0valid
20.0ms64×2valid
11.0ms72×1valid
4.0ms16×3valid
Compiler

Compiled 136 to 44 computations (67.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-mult: 11.0ms (26.2% of total)
ival-div: 7.0ms (16.7% of total)
ival-sqrt: 6.0ms (14.3% of total)
ival-neg: 5.0ms (11.9% of total)
ival-add: 5.0ms (11.9% of total)
ival-sub: 4.0ms (9.5% of total)
adjust: 3.0ms (7.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.8%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify34.0ms (0.3%)

Memory
29.1MiB live, 68.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
cost-diff0
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
cost-diff0
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
cost-diff192
(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
Rules
416×accelerator-lowering-fma.f32
416×accelerator-lowering-fma.f64
264×*-lowering-*.f32
264×*-lowering-*.f64
146×div-sub
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01050
12148
23848
36748
410648
518248
631448
746048
880248
991548
1094748
1195848
1295948
095948
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
(+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))
(neg b_2)
b_2
(sqrt (- (* b_2 b_2) (* a c)))
(- (* b_2 b_2) (* a c))
(* b_2 b_2)
(* a c)
a
c
Outputs
(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 a c #s(literal 0 binary64)))) b_2) a)
(+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))
(-.f64 (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 a c #s(literal 0 binary64)))) b_2)
(neg b_2)
(-.f64 #s(literal 0 binary64) b_2)
b_2
(sqrt (- (* b_2 b_2) (* a c)))
(sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 a c #s(literal 0 binary64))))
(- (* b_2 b_2) (* a c))
(-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 a c #s(literal 0 binary64)))
(* b_2 b_2)
(fma.f64 b_2 b_2 #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
a
c

localize44.0ms (0.4%)

Memory
5.9MiB live, 82.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy98.7%
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
accuracy94.9%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
accuracy81.3%
(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
accuracy62.5%
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
Samples
15.0ms180×0valid
8.0ms32×2valid
5.0ms36×1valid
2.0ms3valid
Compiler

Compiled 52 to 12 computations (76.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 4.0ms (23.7% of total)
ival-div: 3.0ms (17.8% of total)
ival-sqrt: 3.0ms (17.8% of total)
ival-sub: 2.0ms (11.9% of total)
ival-neg: 2.0ms (11.9% of total)
ival-add: 2.0ms (11.9% of total)
adjust: 1.0ms (5.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series27.0ms (0.2%)

Memory
-11.5MiB live, 31.4MiB allocated
Counts
4 → 144
Calls
Call 1
Inputs
#<alt (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))>
#<alt (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)>
#<alt (sqrt (- (* b_2 b_2) (* a c)))>
#<alt (- (* b_2 b_2) (* a c))>
Outputs
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)>
#<alt (/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)>
#<alt (/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)>
#<alt (* -2 b_2)>
#<alt (* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))>
#<alt (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))>
#<alt (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))>
#<alt (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))>
#<alt (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))>
#<alt (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))>
#<alt (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))>
#<alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1/2 (/ c b_2))>
#<alt (/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)>
#<alt (/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)>
#<alt (/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)>
#<alt (* -2 (/ b_2 a))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))>
#<alt (* -1/2 (/ c b_2))>
#<alt (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))>
#<alt (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))>
#<alt (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))>
#<alt (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))>
#<alt b_2>
#<alt (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))>
#<alt (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))>
#<alt (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))>
#<alt (* -1 b_2)>
#<alt (* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))>
#<alt (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))>
#<alt b_2>
#<alt (+ b_2 (* -1/2 (/ (* a c) b_2)))>
#<alt (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))>
#<alt (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))>
#<alt b_2>
#<alt (+ b_2 (* -1/2 (/ (* a c) b_2)))>
#<alt (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))>
#<alt (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))>
#<alt (* -1 (* a c))>
#<alt (- (pow b_2 2) (* a c))>
#<alt (- (pow b_2 2) (* a c))>
#<alt (- (pow b_2 2) (* a c))>
#<alt (pow b_2 2)>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (pow b_2 2)>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (pow b_2 2)>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (* -1 (* a c))>
#<alt (* a (- (/ (pow b_2 2) a) c))>
#<alt (* a (- (/ (pow b_2 2) a) c))>
#<alt (* a (- (/ (pow b_2 2) a) c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))>
#<alt (* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))>
#<alt (* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))>
#<alt (pow b_2 2)>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (* -1 (* a c))>
#<alt (* c (- (/ (pow b_2 2) c) a))>
#<alt (* c (- (/ (pow b_2 2) c) a))>
#<alt (* c (- (/ (pow b_2 2) c) a))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))>
#<alt (* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))>
#<alt (* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))>
Calls

36 calls:

TimeVariablePointExpression
10.0ms
a
@-inf
(+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))
1.0ms
b_2
@0
(sqrt (- (* b_2 b_2) (* a c)))
1.0ms
b_2
@inf
(+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))
1.0ms
a
@inf
(+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))
1.0ms
c
@0
(+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))

rewrite547.0ms (4.5%)

Memory
8.5MiB live, 446.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
3 898×accelerator-lowering-fma.f32
3 898×accelerator-lowering-fma.f64
3 070×*-lowering-*.f32
3 070×*-lowering-*.f64
1 432×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01039
15737
245637
3587437
0892633
Stop Event
iter limit
node limit
Counts
4 → 416
Calls
Call 1
Inputs
(+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))
(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
(sqrt (- (* b_2 b_2) (* a c)))
(- (* b_2 b_2) (* a c))
Outputs
(+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))
(+.f64 b_2 (*.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal -1 binary64)))
(+.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) b_2)
(+.f64 #s(literal 0 binary64) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))
(+.f64 (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))) (neg.f64 (/.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))))
(+.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 0 binary64)) b_2)
(+.f64 (*.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal -1 binary64)) b_2)
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))) (/.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))) #s(literal -1 binary64)))
(-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))
(-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) b_2)
(-.f64 #s(literal 0 binary64) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))
(-.f64 (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))) (/.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))))
(-.f64 (/.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))) (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))))
(-.f64 (/.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (fma.f64 b_2 b_2 (*.f64 a c)))) (/.f64 (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (fma.f64 b_2 b_2 (*.f64 a c)))))
(-.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 0 binary64)) b_2)
(fma.f64 b_2 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))
(fma.f64 b_2 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal -1 binary64)))
(fma.f64 b_2 #s(literal -1 binary64) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))
(fma.f64 b_2 #s(literal -1 binary64) (*.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal -1 binary64)))
(fma.f64 b_2 (/.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))) (neg.f64 (/.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))))
(fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))) (neg.f64 (/.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))))
(fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) b_2) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))
(fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) b_2) (*.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))) b_2)
(fma.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) b_2)
(fma.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal -1 binary64) b_2)
(fma.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 #s(literal 0 binary64))) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))
(fma.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))
(fma.f64 #s(literal 1 binary64) b_2 (*.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))) (neg.f64 (/.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))))
(fma.f64 #s(literal -1 binary64) b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))
(fma.f64 #s(literal -1 binary64) b_2 (*.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) b_2)
(fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))) (neg.f64 (/.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))))
(fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c (*.f64 c (*.f64 a (*.f64 a c)))) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 c (*.f64 a (*.f64 a c)))))) b_2)
(fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c (*.f64 c (*.f64 a (*.f64 a c)))) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 c (*.f64 a (*.f64 a c)))))) b_2)
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (sqrt.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) b_2)
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (neg.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))) b_2)
(fma.f64 (pow.f64 b_2 #s(literal 1/2 binary64)) (pow.f64 b_2 #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))
(fma.f64 (pow.f64 b_2 #s(literal 1/2 binary64)) (pow.f64 b_2 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal -1 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))) (sqrt.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) b_2)
(fma.f64 (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (*.f64 a c)))) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (neg.f64 (/.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))))
(fma.f64 (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (fma.f64 b_2 b_2 (*.f64 a c))) (neg.f64 (/.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))))
(neg.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))
(/.f64 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (fma.f64 b_2 b_2 (*.f64 a c))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))))
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(/.f64 (-.f64 (*.f64 c (*.f64 a (*.f64 a c))) (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (fma.f64 b_2 b_2 (*.f64 a c)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (fma.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 c (*.f64 a (*.f64 a c))))) (/.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (fma.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 c (*.f64 a (*.f64 a c)))))) (*.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 c (*.f64 a (*.f64 a c))))) (fma.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 c (*.f64 a (*.f64 a c))))) (/.f64 (*.f64 a (*.f64 c (*.f64 c (*.f64 a (*.f64 a c))))) (fma.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 c (*.f64 a (*.f64 a c))))))) (fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (/.f64 (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (fma.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 c (*.f64 a (*.f64 a c))))) (/.f64 (*.f64 a (*.f64 c (*.f64 c (*.f64 a (*.f64 a c))))) (fma.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 c (*.f64 a (*.f64 a c)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (fma.f64 b_2 b_2 (*.f64 a c))) (/.f64 (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (fma.f64 b_2 b_2 (*.f64 a c)))) (*.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 a c))) (fma.f64 b_2 b_2 (*.f64 a c))) (/.f64 (*.f64 c (*.f64 a (*.f64 a c))) (fma.f64 b_2 b_2 (*.f64 a c))))) (fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 b_2 b_2 (*.f64 a c))) (/.f64 (*.f64 c (*.f64 a (*.f64 a c))) (fma.f64 b_2 b_2 (*.f64 a c)))))
(/.f64 (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (sqrt.f64 (fma.f64 a (*.f64 c (*.f64 c (*.f64 a (*.f64 a c)))) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))) (sqrt.f64 (fma.f64 a (*.f64 c (*.f64 c (*.f64 a (*.f64 a c)))) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) (sqrt.f64 (fma.f64 a (*.f64 c (*.f64 c (*.f64 a (*.f64 a c)))) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))) (sqrt.f64 (fma.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 c (*.f64 a (*.f64 a c))))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c (*.f64 c (*.f64 a (*.f64 a c)))) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))) (fma.f64 b_2 b_2 (*.f64 a c))) (sqrt.f64 (fma.f64 a (*.f64 c (*.f64 c (*.f64 a (*.f64 a c)))) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c (*.f64 c (*.f64 a (*.f64 a c)))) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (sqrt.f64 (fma.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 c (*.f64 a (*.f64 a c))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (*.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))) (*.f64 (*.f64 a (*.f64 c (*.f64 c (*.f64 a (*.f64 a c))))) (*.f64 (*.f64 a (*.f64 c (*.f64 c (*.f64 a (*.f64 a c))))) (*.f64 a (*.f64 c (*.f64 c (*.f64 a (*.f64 a c)))))))) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 c (*.f64 a (*.f64 a c)))))) (fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))))))) (*.f64 (*.f64 a (*.f64 c (*.f64 c (*.f64 a (*.f64 a c))))) (fma.f64 a (*.f64 c (*.f64 c (*.f64 a (*.f64 a c)))) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))))
(/.f64 (*.f64 (*.f64 (fma.f64 a (*.f64 c (*.f64 c (*.f64 a (*.f64 a c)))) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))))))) (fma.f64 a (*.f64 c (*.f64 c (*.f64 a (*.f64 a c)))) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 c (*.f64 a (*.f64 a c)))))) (fma.f64 a (*.f64 c (*.f64 c (*.f64 a (*.f64 a c)))) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))
(/.f64 (*.f64 (*.f64 (fma.f64 a (*.f64 c (*.f64 c (*.f64 a (*.f64 a c)))) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))))))) (fma.f64 a (*.f64 c (*.f64 c (*.f64 a (*.f64 a c)))) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))) (fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (*.f64 (*.f64 c (*.f64 a (*.f64 a c))) (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))))))
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c)))) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))) (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))))
(/.f64 (/.f64 (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) (fma.f64 a (*.f64 c (*.f64 c (*.f64 a (*.f64 a c)))) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 c (*.f64 a (*.f64 a c))))))
(/.f64 (/.f64 (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c)))) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c))))
(pow.f64 (fma.f64 b_2 b_2 (*.f64 a c)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) #s(literal 4 binary64))
(pow.f64 (*.f64 (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c)))) #s(literal 1/4 binary64))
(pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))))
(*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (/.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))))
(*.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))
(*.f64 (fma.f64 a (*.f64 c (*.f64 c (*.f64 a (*.f64 a c)))) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))))))) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 c (*.f64 a (*.f64 a c))))))
(*.f64 (fma.f64 a (*.f64 c (*.f64 c (*.f64 a (*.f64 a c)))) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))))))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 c (*.f64 a (*.f64 a c)))))))
(*.f64 (fma.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 c (*.f64 a (*.f64 a c)))) (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 c (*.f64 a (*.f64 a c)))))))
(*.f64 (fma.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 c (*.f64 a (*.f64 a c)))) (/.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 c (*.f64 a (*.f64 a c))))))
(*.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))
(*.f64 #s(literal -1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))
(*.f64 (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c))))
(*.f64 (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 c (*.f64 a (*.f64 a c))))) (fma.f64 a (*.f64 c (*.f64 c (*.f64 a (*.f64 a c)))) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (*.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) (sqrt.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) (sqrt.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))) (sqrt.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))
(*.f64 (pow.f64 (fma.f64 a (*.f64 c (*.f64 c (*.f64 a (*.f64 a c)))) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 c (*.f64 a (*.f64 a c))))))
(*.f64 (/.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 a (*.f64 c (*.f64 c (*.f64 a (*.f64 a c)))) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))) (/.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 c (*.f64 a (*.f64 a c)))))))
(*.f64 (/.f64 (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) (fma.f64 a (*.f64 c (*.f64 c (*.f64 a (*.f64 a c)))) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))) (fma.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 c (*.f64 a (*.f64 a c)))))
(*.f64 (/.f64 (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c)))) (fma.f64 b_2 b_2 (*.f64 a c)))
(*.f64 (/.f64 (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c))))
(*.f64 (/.f64 (fma.f64 a (*.f64 c (*.f64 c (*.f64 a (*.f64 a c)))) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))))))) (fma.f64 (*.f64 a (*.f64 c (*.f64 c (*.f64 a (*.f64 a c))))) (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c)))) (*.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))) (fma.f64 b_2 (*.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (*.f64 (*.f64 a (*.f64 c (fma.f64 b_2 b_2 (*.f64 a c)))) (-.f64 (*.f64 a (*.f64 c (fma.f64 b_2 b_2 (*.f64 a c)))) (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))
(*.f64 (/.f64 (fma.f64 a (*.f64 c (*.f64 c (*.f64 a (*.f64 a c)))) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))))))) (*.f64 (fma.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 c (*.f64 a (*.f64 a c)))) (fma.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 c (*.f64 a (*.f64 a c)))))) (fma.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 c (*.f64 a (*.f64 a c)))))

simplify484.0ms (4%)

Memory
0.2MiB live, 728.0MiB allocated
Algorithm
egg-herbie
Rules
11 022×accelerator-lowering-fma.f32
11 022×accelerator-lowering-fma.f64
7 132×*-lowering-*.f32
7 132×*-lowering-*.f64
3 498×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05083176
116063136
255203120
087822984
Stop Event
iter limit
node limit
Counts
144 → 144
Calls
Call 1
Inputs
(* (sqrt (* a c)) (sqrt -1))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(* -1/2 (/ (* a c) b_2))
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)
(* -2 b_2)
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* -1/2 (/ (* a c) b_2))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1/2 (/ (* a c) b_2))
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(* -1/2 (/ c b_2))
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(* -2 (/ b_2 a))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(* -1/2 (/ c b_2))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(* (sqrt (/ c a)) (sqrt -1))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* (sqrt (* a c)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
b_2
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))
(* -1 b_2)
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* a c))
(- (pow b_2 2) (* a c))
(- (pow b_2 2) (* a c))
(- (pow b_2 2) (* a c))
(pow b_2 2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(pow b_2 2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(* -1 (* a c))
(* a (- (/ (pow b_2 2) a) c))
(* a (- (/ (pow b_2 2) a) c))
(* a (- (/ (pow b_2 2) a) c))
(* -1 (* a c))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(* -1 (* a c))
(* c (- (/ (pow b_2 2) c) a))
(* c (- (/ (pow b_2 2) c) a))
(* c (- (/ (pow b_2 2) c) a))
(* -1 (* a c))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
Outputs
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) b_2))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(fma.f64 b_2 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(fma.f64 b_2 (fma.f64 b_2 (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c))))))) (*.f64 (/.f64 (*.f64 b_2 b_2) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64)))) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(* -1/2 (/ (* a c) b_2))
(/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2)
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)
(/.f64 (fma.f64 a (*.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 b_2 b_2))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)
(/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c))))) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) (fma.f64 a (*.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 b_2 b_2)))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 a c (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 5/64 binary64) (pow.f64 b_2 #s(literal 6 binary64))))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c))))) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 b_2 b_2)))) b_2)
(* -2 b_2)
(*.f64 b_2 #s(literal -2 binary64))
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(*.f64 (fma.f64 (*.f64 a c) (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(*.f64 (fma.f64 (*.f64 (*.f64 a #s(literal -1/8 binary64)) a) (/.f64 (*.f64 c c) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) (fma.f64 (*.f64 a c) (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(*.f64 (+.f64 (fma.f64 (*.f64 a c) (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) (/.f64 (*.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -1/16 binary64)) (*.f64 a (*.f64 a a))) (pow.f64 b_2 #s(literal 6 binary64))))) (-.f64 #s(literal 0 binary64) b_2))
(* -1/2 (/ (* a c) b_2))
(/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2)
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(*.f64 a (fma.f64 c (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b_2 (*.f64 b_2 b_2)))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(*.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b_2 #s(literal 5 binary64))) (*.f64 #s(literal -1/16 binary64) a) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 b_2 (*.f64 b_2 b_2)))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 (*.f64 a #s(literal -1/2 binary64)) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) (/.f64 #s(literal 5/64 binary64) b_2)) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -1/16 binary64)) (pow.f64 b_2 #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 b_2 (*.f64 b_2 b_2)))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(*.f64 a (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b_2 a)))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(*.f64 a (-.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (*.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64)))) (/.f64 b_2 a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))
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(*.f64 c (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (/.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c))))))) (*.f64 (*.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))))) (/.f64 b_2 (*.f64 a c))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 b_2 (*.f64 a c))) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(-.f64 #s(literal 0 binary64) (*.f64 c (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))))) (/.f64 b_2 (-.f64 #s(literal 0 binary64) a))) c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(-.f64 #s(literal 0 binary64) (*.f64 c (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 (+.f64 (/.f64 b_2 a) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) #s(literal -1/8 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a))))))) c)) c))))
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(fma.f64 (*.f64 b_2 b_2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c))))))) (*.f64 (/.f64 (*.f64 b_2 b_2) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64)))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
(fma.f64 (*.f64 b_2 b_2) (fma.f64 (*.f64 b_2 b_2) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c))))))) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (/.f64 (*.f64 b_2 b_2) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
b_2
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(*.f64 b_2 (fma.f64 (*.f64 a c) (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)) #s(literal 1 binary64)))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(*.f64 b_2 (fma.f64 (*.f64 (*.f64 a #s(literal -1/8 binary64)) a) (/.f64 (*.f64 c c) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) (fma.f64 (*.f64 a c) (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)) #s(literal 1 binary64))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))
(fma.f64 b_2 (fma.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 b_2)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) (/.f64 (*.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -1/16 binary64)) (*.f64 a (*.f64 a a))) (pow.f64 b_2 #s(literal 6 binary64))))) b_2)
(* -1 b_2)
(-.f64 #s(literal 0 binary64) b_2)
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(*.f64 (fma.f64 (*.f64 a c) (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(*.f64 (fma.f64 (*.f64 (*.f64 a #s(literal -1/8 binary64)) a) (/.f64 (*.f64 c c) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) (fma.f64 (*.f64 a c) (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(-.f64 #s(literal 0 binary64) (fma.f64 b_2 (fma.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 b_2)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) (/.f64 (*.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -1/16 binary64)) (*.f64 a (*.f64 a a))) (pow.f64 b_2 #s(literal 6 binary64))))) b_2))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(fma.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) b_2)
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(fma.f64 a (fma.f64 c (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b_2 (*.f64 b_2 b_2)))) b_2)
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(fma.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b_2 #s(literal 5 binary64))) (*.f64 #s(literal -1/16 binary64) a) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 b_2 (*.f64 b_2 b_2)))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)) b_2)
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(*.f64 a (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (*.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(*.f64 a (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (*.f64 (/.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (*.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64))))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 a (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64)))))) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (*.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64)))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)))))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
(-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 1/16 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(fma.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) b_2)
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(fma.f64 c (fma.f64 c (/.f64 (*.f64 (*.f64 a #s(literal -1/8 binary64)) a) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 (*.f64 a #s(literal -1/2 binary64)) b_2)) b_2)
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(fma.f64 c (fma.f64 c (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (/.f64 c (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64)) (/.f64 (*.f64 (*.f64 a #s(literal -1/8 binary64)) a) (*.f64 b_2 (*.f64 b_2 b_2)))) (/.f64 (*.f64 a #s(literal -1/2 binary64)) b_2)) b_2)
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(*.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (/.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 c (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(-.f64 #s(literal 0 binary64) (*.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) #s(literal -1/8 binary64)) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
(-.f64 #s(literal 0 binary64) (*.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 1/16 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) #s(literal -1/8 binary64)) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))))))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 a c))
(- (pow b_2 2) (* a c))
(fma.f64 a (-.f64 #s(literal 0 binary64) c) (*.f64 b_2 b_2))
(- (pow b_2 2) (* a c))
(fma.f64 a (-.f64 #s(literal 0 binary64) c) (*.f64 b_2 b_2))
(- (pow b_2 2) (* a c))
(fma.f64 a (-.f64 #s(literal 0 binary64) c) (*.f64 b_2 b_2))
(pow b_2 2)
(*.f64 b_2 b_2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(*.f64 (*.f64 b_2 b_2) (fma.f64 a (/.f64 c (-.f64 #s(literal 0 binary64) (*.f64 b_2 b_2))) #s(literal 1 binary64)))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(*.f64 (*.f64 b_2 b_2) (fma.f64 a (/.f64 c (-.f64 #s(literal 0 binary64) (*.f64 b_2 b_2))) #s(literal 1 binary64)))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(*.f64 (*.f64 b_2 b_2) (fma.f64 a (/.f64 c (-.f64 #s(literal 0 binary64) (*.f64 b_2 b_2))) #s(literal 1 binary64)))
(pow b_2 2)
(*.f64 b_2 b_2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(*.f64 (*.f64 b_2 b_2) (fma.f64 a (/.f64 c (-.f64 #s(literal 0 binary64) (*.f64 b_2 b_2))) #s(literal 1 binary64)))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(*.f64 (*.f64 b_2 b_2) (fma.f64 a (/.f64 c (-.f64 #s(literal 0 binary64) (*.f64 b_2 b_2))) #s(literal 1 binary64)))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(*.f64 (*.f64 b_2 b_2) (fma.f64 a (/.f64 c (-.f64 #s(literal 0 binary64) (*.f64 b_2 b_2))) #s(literal 1 binary64)))
(pow b_2 2)
(*.f64 b_2 b_2)
(+ (* -1 (* a c)) (pow b_2 2))
(fma.f64 a (-.f64 #s(literal 0 binary64) c) (*.f64 b_2 b_2))
(+ (* -1 (* a c)) (pow b_2 2))
(fma.f64 a (-.f64 #s(literal 0 binary64) c) (*.f64 b_2 b_2))
(+ (* -1 (* a c)) (pow b_2 2))
(fma.f64 a (-.f64 #s(literal 0 binary64) c) (*.f64 b_2 b_2))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 a c))
(* a (- (/ (pow b_2 2) a) c))
(*.f64 a (fma.f64 b_2 (/.f64 b_2 a) (-.f64 #s(literal 0 binary64) c)))
(* a (- (/ (pow b_2 2) a) c))
(*.f64 a (fma.f64 b_2 (/.f64 b_2 a) (-.f64 #s(literal 0 binary64) c)))
(* a (- (/ (pow b_2 2) a) c))
(*.f64 a (fma.f64 b_2 (/.f64 b_2 a) (-.f64 #s(literal 0 binary64) c)))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 a c))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(*.f64 a (fma.f64 b_2 (/.f64 b_2 a) (-.f64 #s(literal 0 binary64) c)))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(*.f64 a (fma.f64 b_2 (/.f64 b_2 a) (-.f64 #s(literal 0 binary64) c)))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(*.f64 a (fma.f64 b_2 (/.f64 b_2 a) (-.f64 #s(literal 0 binary64) c)))
(pow b_2 2)
(*.f64 b_2 b_2)
(+ (* -1 (* a c)) (pow b_2 2))
(fma.f64 a (-.f64 #s(literal 0 binary64) c) (*.f64 b_2 b_2))
(+ (* -1 (* a c)) (pow b_2 2))
(fma.f64 a (-.f64 #s(literal 0 binary64) c) (*.f64 b_2 b_2))
(+ (* -1 (* a c)) (pow b_2 2))
(fma.f64 a (-.f64 #s(literal 0 binary64) c) (*.f64 b_2 b_2))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 a c))
(* c (- (/ (pow b_2 2) c) a))
(*.f64 c (fma.f64 b_2 (/.f64 b_2 c) (-.f64 #s(literal 0 binary64) a)))
(* c (- (/ (pow b_2 2) c) a))
(*.f64 c (fma.f64 b_2 (/.f64 b_2 c) (-.f64 #s(literal 0 binary64) a)))
(* c (- (/ (pow b_2 2) c) a))
(*.f64 c (fma.f64 b_2 (/.f64 b_2 c) (-.f64 #s(literal 0 binary64) a)))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 a c))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(*.f64 c (fma.f64 b_2 (/.f64 b_2 c) (-.f64 #s(literal 0 binary64) a)))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(*.f64 c (fma.f64 b_2 (/.f64 b_2 c) (-.f64 #s(literal 0 binary64) a)))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(*.f64 c (fma.f64 b_2 (/.f64 b_2 c) (-.f64 #s(literal 0 binary64) a)))

eval68.0ms (0.6%)

Memory
6.4MiB live, 156.5MiB allocated
Compiler

Compiled 18 346 to 2 005 computations (89.1% saved)

prune127.0ms (1.1%)

Memory
-17.8MiB live, 181.3MiB allocated
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New54713560
Fresh000
Picked011
Done000
Total54714561
Accuracy
93.5%
Counts
561 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.9%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c (*.f64 c (*.f64 a (*.f64 a c)))) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))) b_2) (*.f64 (sqrt.f64 (fma.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 c (*.f64 a (*.f64 a c))))) (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (*.f64 (sqrt.f64 (fma.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 c (*.f64 a (*.f64 a c))))) b_2)) a)
24.3%
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) a)
43.7%
(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1/4 binary64))) a)
32.8%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (/.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (neg.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 a c))) (fma.f64 b_2 b_2 (*.f64 a c))))))) a)
30.8%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))))) a)
18.9%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (/.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (fma.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 c (*.f64 a (*.f64 a c))))) (/.f64 (*.f64 a (*.f64 c (*.f64 c (*.f64 a (*.f64 a c))))) (fma.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 c (*.f64 a (*.f64 a c)))))))) a)
57.8%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
40.2%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)))) a)
22.4%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c))))))) a)
27.6%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 b_2))) a)
10.0%
(/.f64 (+.f64 (neg.f64 b_2) b_2) a)
32.1%
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
34.3%
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
30.1%
(*.f64 c (fma.f64 c (/.f64 (*.f64 a #s(literal -1/8 binary64)) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 #s(literal -1/2 binary64) b_2)))
Compiler

Compiled 696 to 332 computations (52.3% saved)

simplify297.0ms (2.5%)

Memory
18.5MiB live, 422.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (fma.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (/.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (neg.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 a c))) (fma.f64 b_2 b_2 (*.f64 a c))))))
cost-diff0
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (/.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (neg.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 a c))) (fma.f64 b_2 b_2 (*.f64 a c))))))) a)
cost-diff192
(+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (/.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (neg.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 a c))) (fma.f64 b_2 b_2 (*.f64 a c)))))))
cost-diff1088
(fma.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (/.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (neg.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 a c))) (fma.f64 b_2 b_2 (*.f64 a c)))))
cost-diff0
(*.f64 a #s(literal -1/8 binary64))
cost-diff0
(/.f64 (*.f64 a #s(literal -1/8 binary64)) (*.f64 b_2 (*.f64 b_2 b_2)))
cost-diff0
(fma.f64 c (/.f64 (*.f64 a #s(literal -1/8 binary64)) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 #s(literal -1/2 binary64) b_2))
cost-diff320
(*.f64 c (fma.f64 c (/.f64 (*.f64 a #s(literal -1/8 binary64)) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 #s(literal -1/2 binary64) b_2)))
cost-diff-64
(neg.f64 b_2)
cost-diff0
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 b_2))) a)
cost-diff192
(+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 b_2)))
cost-diff896
(sqrt.f64 (*.f64 b_2 b_2))
cost-diff-64
(*.f64 b_2 #s(literal -2 binary64))
cost-diff0
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
cost-diff0
(fma.f64 b_2 b_2 (*.f64 a c))
cost-diff0
(pow.f64 (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1/4 binary64))
cost-diff0
(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1/4 binary64))) a)
cost-diff192
(+.f64 (neg.f64 b_2) (pow.f64 (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1/4 binary64)))
Rules
6 200×accelerator-lowering-fma.f32
6 200×accelerator-lowering-fma.f64
3 964×*-lowering-*.f32
3 964×*-lowering-*.f64
2 218×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040375
1110361
2309361
3928361
41957361
52769361
63528345
76140337
08200318
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (+ (neg b_2) (pow (* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c))) 1/4)) a)
(+ (neg b_2) (pow (* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c))) 1/4))
(neg b_2)
b_2
(pow (* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c))) 1/4)
(* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c)))
(+ (* b_2 b_2) (* a c))
(* a c)
a
c
1/4
(/ (* b_2 -2) a)
(* b_2 -2)
b_2
-2
a
(/ (+ (neg b_2) (sqrt (* b_2 b_2))) a)
(+ (neg b_2) (sqrt (* b_2 b_2)))
(neg b_2)
b_2
(sqrt (* b_2 b_2))
(* b_2 b_2)
a
(* c (+ (* c (/ (* a -1/8) (* b_2 (* b_2 b_2)))) (/ -1/2 b_2)))
c
(+ (* c (/ (* a -1/8) (* b_2 (* b_2 b_2)))) (/ -1/2 b_2))
(/ (* a -1/8) (* b_2 (* b_2 b_2)))
(* a -1/8)
a
-1/8
(* b_2 (* b_2 b_2))
b_2
(* b_2 b_2)
(/ -1/2 b_2)
-1/2
(/ (+ (neg b_2) (sqrt (+ (* (* b_2 (+ (* b_2 b_2) 0)) (/ b_2 (+ (* b_2 b_2) (* a c)))) (neg (/ (* c (* a (* a c))) (+ (* b_2 b_2) (* a c))))))) a)
(+ (neg b_2) (sqrt (+ (* (* b_2 (+ (* b_2 b_2) 0)) (/ b_2 (+ (* b_2 b_2) (* a c)))) (neg (/ (* c (* a (* a c))) (+ (* b_2 b_2) (* a c)))))))
(neg b_2)
b_2
(sqrt (+ (* (* b_2 (+ (* b_2 b_2) 0)) (/ b_2 (+ (* b_2 b_2) (* a c)))) (neg (/ (* c (* a (* a c))) (+ (* b_2 b_2) (* a c))))))
(+ (* (* b_2 (+ (* b_2 b_2) 0)) (/ b_2 (+ (* b_2 b_2) (* a c)))) (neg (/ (* c (* a (* a c))) (+ (* b_2 b_2) (* a c)))))
(* b_2 (+ (* b_2 b_2) 0))
(+ (* b_2 b_2) 0)
0
(/ b_2 (+ (* b_2 b_2) (* a c)))
(+ (* b_2 b_2) (* a c))
(* a c)
a
c
(neg (/ (* c (* a (* a c))) (+ (* b_2 b_2) (* a c))))
(/ (* c (* a (* a c))) (+ (* b_2 b_2) (* a c)))
(* c (* a (* a c)))
(* a (* a c))
Outputs
(/ (+ (neg b_2) (pow (* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c))) 1/4)) a)
(/.f64 (-.f64 (pow.f64 (fma.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1/4 binary64)) b_2) a)
(+ (neg b_2) (pow (* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c))) 1/4))
(-.f64 (pow.f64 (fma.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1/4 binary64)) b_2)
(neg b_2)
(-.f64 #s(literal 0 binary64) b_2)
b_2
(pow (* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c))) 1/4)
(pow.f64 (fma.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c)))
(fma.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal 0 binary64))
(+ (* b_2 b_2) (* a c))
(fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
a
c
1/4
#s(literal 1/4 binary64)
(/ (* b_2 -2) a)
(fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) #s(literal 0 binary64))
(* b_2 -2)
(fma.f64 b_2 #s(literal -2 binary64) #s(literal 0 binary64))
b_2
-2
#s(literal -2 binary64)
a
(/ (+ (neg b_2) (sqrt (* b_2 b_2))) a)
(/.f64 (-.f64 (fabs.f64 b_2) b_2) a)
(+ (neg b_2) (sqrt (* b_2 b_2)))
(-.f64 (fabs.f64 b_2) b_2)
(neg b_2)
(-.f64 #s(literal 0 binary64) b_2)
b_2
(sqrt (* b_2 b_2))
(fabs.f64 b_2)
(* b_2 b_2)
(fma.f64 b_2 b_2 #s(literal 0 binary64))
a
(* c (+ (* c (/ (* a -1/8) (* b_2 (* b_2 b_2)))) (/ -1/2 b_2)))
(fma.f64 c (/.f64 (fma.f64 c (*.f64 #s(literal -1/8 binary64) (/.f64 a (fma.f64 b_2 b_2 #s(literal 0 binary64)))) #s(literal -1/2 binary64)) b_2) #s(literal 0 binary64))
c
(+ (* c (/ (* a -1/8) (* b_2 (* b_2 b_2)))) (/ -1/2 b_2))
(fma.f64 a (*.f64 c (/.f64 #s(literal -1/8 binary64) (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal -1/2 binary64) b_2))
(/ (* a -1/8) (* b_2 (* b_2 b_2)))
(*.f64 a (/.f64 #s(literal -1/8 binary64) (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64))))
(* a -1/8)
(*.f64 a #s(literal -1/8 binary64))
a
-1/8
#s(literal -1/8 binary64)
(* b_2 (* b_2 b_2))
(fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64))
b_2
(* b_2 b_2)
(fma.f64 b_2 b_2 #s(literal 0 binary64))
(/ -1/2 b_2)
(/.f64 #s(literal -1/2 binary64) b_2)
-1/2
#s(literal -1/2 binary64)
(/ (+ (neg b_2) (sqrt (+ (* (* b_2 (+ (* b_2 b_2) 0)) (/ b_2 (+ (* b_2 b_2) (* a c)))) (neg (/ (* c (* a (* a c))) (+ (* b_2 b_2) (* a c))))))) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (fma.f64 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 a (fma.f64 a (fma.f64 c c #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) b_2) a)
(+ (neg b_2) (sqrt (+ (* (* b_2 (+ (* b_2 b_2) 0)) (/ b_2 (+ (* b_2 b_2) (* a c)))) (neg (/ (* c (* a (* a c))) (+ (* b_2 b_2) (* a c)))))))
(-.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (fma.f64 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 a (fma.f64 a (fma.f64 c c #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) b_2)
(neg b_2)
(-.f64 #s(literal 0 binary64) b_2)
b_2
(sqrt (+ (* (* b_2 (+ (* b_2 b_2) 0)) (/ b_2 (+ (* b_2 b_2) (* a c)))) (neg (/ (* c (* a (* a c))) (+ (* b_2 b_2) (* a c))))))
(sqrt.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (fma.f64 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 a (fma.f64 a (fma.f64 c c #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))
(+ (* (* b_2 (+ (* b_2 b_2) 0)) (/ b_2 (+ (* b_2 b_2) (* a c)))) (neg (/ (* c (* a (* a c))) (+ (* b_2 b_2) (* a c)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (fma.f64 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 a (fma.f64 a (fma.f64 c c #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* b_2 (+ (* b_2 b_2) 0))
(fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* b_2 b_2) 0)
(fma.f64 b_2 b_2 #s(literal 0 binary64))
0
#s(literal 0 binary64)
(/ b_2 (+ (* b_2 b_2) (* a c)))
(/.f64 b_2 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))
(+ (* b_2 b_2) (* a c))
(fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
a
c
(neg (/ (* c (* a (* a c))) (+ (* b_2 b_2) (* a c))))
(fma.f64 (fma.f64 a (fma.f64 a c #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 c (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) #s(literal 0 binary64))
(/ (* c (* a (* a c))) (+ (* b_2 b_2) (* a c)))
(fma.f64 (fma.f64 a (fma.f64 a c #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 c (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) #s(literal 0 binary64))
(* c (* a (* a c)))
(fma.f64 a (fma.f64 a (fma.f64 c c #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* a (* a c))
(fma.f64 a (fma.f64 a c #s(literal 0 binary64)) #s(literal 0 binary64))

localize281.0ms (2.3%)

Memory
-31.9MiB live, 286.7MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy95.1%
(fma.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (/.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (neg.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 a c))) (fma.f64 b_2 b_2 (*.f64 a c)))))
accuracy80.7%
(/.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c)))
accuracy79.9%
(/.f64 (*.f64 c (*.f64 a (*.f64 a c))) (fma.f64 b_2 b_2 (*.f64 a c)))
accuracy76.7%
(sqrt.f64 (fma.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (/.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (neg.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 a c))) (fma.f64 b_2 b_2 (*.f64 a c))))))
accuracy99.9%
(*.f64 b_2 (*.f64 b_2 b_2))
accuracy97.0%
(*.f64 c (fma.f64 c (/.f64 (*.f64 a #s(literal -1/8 binary64)) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 #s(literal -1/2 binary64) b_2)))
accuracy96.9%
(fma.f64 c (/.f64 (*.f64 a #s(literal -1/8 binary64)) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 #s(literal -1/2 binary64) b_2))
accuracy95.0%
(/.f64 (*.f64 a #s(literal -1/8 binary64)) (*.f64 b_2 (*.f64 b_2 b_2)))
accuracy100.0%
(+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 b_2)))
accuracy100.0%
(*.f64 b_2 b_2)
accuracy100.0%
(neg.f64 b_2)
accuracy64.6%
(sqrt.f64 (*.f64 b_2 b_2))
accuracy100.0%
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
accuracy100.0%
(*.f64 b_2 #s(literal -2 binary64))
accuracy99.8%
(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1/4 binary64))) a)
accuracy99.7%
(*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c)))
accuracy99.2%
(fma.f64 b_2 b_2 (*.f64 a c))
accuracy64.6%
(pow.f64 (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1/4 binary64))
Samples
126.0ms180×0valid
28.0ms76×1exit
Compiler

Compiled 384 to 42 computations (89.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 131.0ms
ival-pow: 56.0ms (42.6% of total)
ival-neg: 29.0ms (22.1% of total)
ival-mult: 17.0ms (12.9% of total)
ival-div: 13.0ms (9.9% of total)
ival-add: 9.0ms (6.8% of total)
adjust: 3.0ms (2.3% of total)
ival-sqrt: 3.0ms (2.3% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series160.0ms (1.3%)

Memory
33.1MiB live, 332.2MiB allocated
Counts
23 → 624
Calls
Call 1
Inputs
#<alt (+ (neg b_2) (pow (* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c))) 1/4))>
#<alt (/ (+ (neg b_2) (pow (* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c))) 1/4)) a)>
#<alt (pow (* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c))) 1/4)>
#<alt (+ (* b_2 b_2) (* a c))>
#<alt (/ (* b_2 -2) a)>
#<alt (* b_2 -2)>
#<alt (sqrt (* b_2 b_2))>
#<alt (+ (neg b_2) (sqrt (* b_2 b_2)))>
#<alt (/ (+ (neg b_2) (sqrt (* b_2 b_2))) a)>
#<alt (neg b_2)>
#<alt (* c (+ (* c (/ (* a -1/8) (* b_2 (* b_2 b_2)))) (/ -1/2 b_2)))>
#<alt (+ (* c (/ (* a -1/8) (* b_2 (* b_2 b_2)))) (/ -1/2 b_2))>
#<alt (/ (* a -1/8) (* b_2 (* b_2 b_2)))>
#<alt (* a -1/8)>
#<alt (+ (* (* b_2 (+ (* b_2 b_2) 0)) (/ b_2 (+ (* b_2 b_2) (* a c)))) (neg (/ (* c (* a (* a c))) (+ (* b_2 b_2) (* a c)))))>
#<alt (+ (neg b_2) (sqrt (+ (* (* b_2 (+ (* b_2 b_2) 0)) (/ b_2 (+ (* b_2 b_2) (* a c)))) (neg (/ (* c (* a (* a c))) (+ (* b_2 b_2) (* a c)))))))>
#<alt (/ (+ (neg b_2) (sqrt (+ (* (* b_2 (+ (* b_2 b_2) 0)) (/ b_2 (+ (* b_2 b_2) (* a c)))) (neg (/ (* c (* a (* a c))) (+ (* b_2 b_2) (* a c))))))) a)>
#<alt (sqrt (+ (* (* b_2 (+ (* b_2 b_2) 0)) (/ b_2 (+ (* b_2 b_2) (* a c)))) (neg (/ (* c (* a (* a c))) (+ (* b_2 b_2) (* a c))))))>
#<alt (* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c)))>
#<alt (* b_2 b_2)>
#<alt (* b_2 (* b_2 b_2))>
#<alt (/ (* c (* a (* a c))) (+ (* b_2 b_2) (* a c)))>
#<alt (/ b_2 (+ (* b_2 b_2) (* a c)))>
Outputs
#<alt (sqrt (* a c))>
#<alt (+ (sqrt (* a c)) (* -1 b_2))>
#<alt (+ (sqrt (* a c)) (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) b_2)) 1)))>
#<alt (+ (sqrt (* a c)) (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2))) (* 1/2 (sqrt (/ 1 (* a c)))))) 1)))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (/ (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* 1/2 (* a c))) b_2)>
#<alt (/ (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (* 1/2 (* a c)))) b_2)>
#<alt (/ (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (* 1/2 (* a c))))) b_2)>
#<alt (* -2 b_2)>
#<alt (* -1 (* b_2 (+ 2 (* 1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* -1 (* b_2 (+ 2 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2)))))))>
#<alt (* -1 (* b_2 (+ 2 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (* 1/2 (/ (* a c) (pow b_2 2))))))))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* a (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))>
#<alt (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* 1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))>
#<alt (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* 1/16 (/ (pow c 3) (pow b_2 5)))))))))>
#<alt (sqrt (* a c))>
#<alt (* a (+ (sqrt (/ c a)) (* -1 (/ b_2 a))))>
#<alt (* a (- (+ (sqrt (/ c a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))) (/ b_2 a)))>
#<alt (* a (- (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))))) (/ b_2 a)))>
#<alt (* -1 (* (sqrt (* a c)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (pow (sqrt -1) 2)) (/ b_2 a))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2))) b_2) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ a c)) (pow b_2 2)))) a)) b_2) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* c (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* 1/2 (/ a b_2))))>
#<alt (* c (+ (* 1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* 1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))>
#<alt (* c (+ (* 1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* 1/16 (/ (pow a 3) (pow b_2 5)))))))))>
#<alt (sqrt (* a c))>
#<alt (* c (+ (sqrt (/ a c)) (* -1 (/ b_2 c))))>
#<alt (* c (- (+ (sqrt (/ a c)) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2)))) (/ b_2 c)))>
#<alt (* c (- (+ (sqrt (/ a c)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))))) (/ b_2 c)))>
#<alt (* -1 (* (sqrt (* a c)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (pow (sqrt -1) 2)) (/ b_2 c))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2))) b_2) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ c a)) (pow b_2 2)))) c)) b_2) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))>
#<alt (sqrt (/ c a))>
#<alt (+ (sqrt (/ c a)) (* -1 (/ b_2 a)))>
#<alt (+ (sqrt (/ c a)) (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) b_2)) (/ 1 a))))>
#<alt (+ (sqrt (/ c a)) (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 2))) (* 1/2 (sqrt (/ 1 (* (pow a 3) c)))))) (/ 1 a))))>
#<alt (* 1/2 (/ c b_2))>
#<alt (/ (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2)>
#<alt (/ (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (* 1/2 c))) b_2)>
#<alt (/ (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (* 1/2 c)))) b_2)>
#<alt (* -2 (/ b_2 a))>
#<alt (* -1 (* b_2 (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))>
#<alt (* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))))>
#<alt (* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))))>
#<alt (* 1/2 (/ c b_2))>
#<alt (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2)))>
#<alt (+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))))))>
#<alt (+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* 1/16 (/ (pow c 3) (pow b_2 5))))))))>
#<alt (sqrt (/ c a))>
#<alt (+ (sqrt (/ c a)) (* -1 (/ b_2 a)))>
#<alt (+ (sqrt (/ c a)) (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))))>
#<alt (+ (sqrt (/ c a)) (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))))))>
#<alt (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2)))) a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (pow b_2 2))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2))))) a))) a)))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* c (+ (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (+ (* c (+ (* -1/8 (/ a (pow b_2 3))) (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (+ (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* 1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))>
#<alt (sqrt (/ c a))>
#<alt (* c (+ (sqrt (/ 1 (* a c))) (* -1 (/ b_2 (* a c)))))>
#<alt (* c (+ (sqrt (/ 1 (* a c))) (+ (* -1 (/ b_2 (* a c))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2))))))>
#<alt (* c (+ (sqrt (/ 1 (* a c))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2)))))))>
#<alt (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (pow b_2 2)))) c))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))>
#<alt (sqrt (* a c))>
#<alt (+ (sqrt (* a c)) (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2))))>
#<alt (+ (sqrt (* a c)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2))) (* 1/2 (sqrt (/ 1 (* a c)))))))>
#<alt (+ (sqrt (* a c)) (* (pow b_2 2) (+ (* 1/2 (sqrt (/ 1 (* a c)))) (* (pow b_2 2) (+ (* -1/8 (sqrt (/ 1 (* (pow a 3) (pow c 3))))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (pow b_2 2))))))))>
#<alt b_2>
#<alt (* b_2 (+ 1 (* 1/2 (/ (* a c) (pow b_2 2)))))>
#<alt (* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (* 1/2 (/ (* a c) (pow b_2 2)))))))>
#<alt (* -1 b_2)>
#<alt (* -1 (* b_2 (+ 1 (* 1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* -1 (* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2)))))))>
#<alt (* -1 (* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (* 1/2 (/ (* a c) (pow b_2 2))))))))>
#<alt b_2>
#<alt (+ b_2 (* 1/2 (/ (* a c) b_2)))>
#<alt (+ b_2 (* a (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2)))))>
#<alt (+ b_2 (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))>
#<alt (sqrt (* a c))>
#<alt (* a (+ (sqrt (/ c a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))))>
#<alt (* a (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))))))>
#<alt (* a (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (pow b_2 6))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))))))>
#<alt (* -1 (* (sqrt (* a c)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))) (* (sqrt (/ c a)) (pow (sqrt -1) 2))))))>
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#<alt (pow b_2 2)>
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#<alt (pow b_2 2)>
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#<alt (pow b_2 2)>
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#<alt (pow b_2 2)>
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#<alt (* -2 b_2)>
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#<alt (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* -1/4 (/ (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (pow b_2 6))))))))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* a (+ (* -1/2 (/ c b_2)) (* -1/2 (/ (* a (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) b_2))))>
#<alt (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/2 (/ (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) b_2)) (* -1/4 (/ (* a (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))))) (pow b_2 3)))))))>
#<alt (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/2 (/ (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) b_2)) (* a (+ (* -1/2 (/ (* a (+ (* 1/4 (/ (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) (pow b_2 4))) (* 1/4 (/ (pow (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) 2) (pow b_2 2))))) b_2)) (* -1/4 (/ (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) (pow b_2 3)))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))>
#<alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c))))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* c (+ (* -1/2 (/ a b_2)) (* -1/2 (/ (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) b_2))))>
#<alt (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/2 (/ (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) b_2)) (* -1/4 (/ (* a (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))))) (pow b_2 3)))))))>
#<alt (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/2 (/ (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) b_2)) (* c (+ (* -1/2 (/ (* c (+ (* 1/4 (/ (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) (pow b_2 4))) (* 1/4 (/ (pow (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) 2) (pow b_2 2))))) b_2)) (* -1/4 (/ (* a (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) (pow b_2 3)))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))>
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a)) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a))))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1/2 (/ c b_2))>
#<alt (/ (+ (* -1/2 c) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (* a (pow b_2 2))))) b_2)>
#<alt (/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (* a (pow b_2 2)))) (* -1/4 (/ (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))))) (pow b_2 4))))) b_2)>
#<alt (/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (* a (pow b_2 2)))) (+ (* -1/2 (/ (+ (* 1/4 (* (pow a 2) (* (pow c 2) (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))))))) (* 1/4 (pow (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) 2))) (* a (pow b_2 6)))) (* -1/4 (/ (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))))) (pow b_2 4)))))) b_2)>
#<alt (* -2 (/ b_2 a))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (* a (pow b_2 4)))) (* 2 (/ 1 a))))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (* a (pow b_2 4)))) (+ (* -1/4 (/ (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))))) (pow b_2 6))) (* 2 (/ 1 a)))))))>
#<alt (* -1/2 (/ c b_2))>
#<alt (+ (* -1/2 (/ c b_2)) (* -1/2 (/ (* a (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) b_2)))>
#<alt (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/2 (/ (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) b_2)) (* -1/4 (/ (* a (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))))) (pow b_2 3))))))>
#<alt (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/2 (/ (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) b_2)) (* a (+ (* -1/2 (/ (* a (+ (* 1/4 (/ (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) (pow b_2 4))) (* 1/4 (/ (pow (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) 2) (pow b_2 2))))) b_2)) (* -1/4 (/ (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) (pow b_2 3))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)))))) a))) a)))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* c (- (* -1/2 (/ (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) (* a b_2))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (- (* c (+ (* -1/2 (/ (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) (* a b_2))) (* -1/4 (/ (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) (pow b_2 3))))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (- (* c (+ (* -1/2 (/ (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) (* a b_2))) (* c (+ (* -1/2 (/ (* c (+ (* 1/4 (/ (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) (pow b_2 4))) (* 1/4 (/ (pow (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) 2) (pow b_2 2))))) (* a b_2))) (* -1/4 (/ (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) (pow b_2 3))))))) (* 1/2 (/ 1 b_2))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a)) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a))))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))>
#<alt (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))>
#<alt b_2>
#<alt (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))>
#<alt (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4))))))>
#<alt (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* -1/4 (/ (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (pow b_2 6)))))))>
#<alt (* -1 b_2)>
#<alt (* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4)))))))>
#<alt (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* -1/4 (/ (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (pow b_2 6))))))))>
#<alt b_2>
#<alt (+ b_2 (* -1/2 (/ (* a c) b_2)))>
#<alt (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/2 (/ (* a (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) b_2)))))>
#<alt (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/2 (/ (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) b_2)) (* -1/4 (/ (* a (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))))) (pow b_2 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* a (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)))))) (pow a 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt b_2>
#<alt (+ b_2 (* -1/2 (/ (* a c) b_2)))>
#<alt (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/2 (/ (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) b_2)))))>
#<alt (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/2 (/ (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) b_2)) (* -1/4 (/ (* a (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))))) (pow b_2 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a)) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a)) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a))))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a)))))) (pow c 3))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* (pow a 2) (pow c 2))>
#<alt (+ (* 2 (* a (* (pow b_2 2) c))) (* (pow a 2) (pow c 2)))>
#<alt (+ (* (pow a 2) (pow c 2)) (* (pow b_2 2) (+ (* 2 (* a c)) (pow b_2 2))))>
#<alt (+ (* (pow a 2) (pow c 2)) (* (pow b_2 2) (+ (* 2 (* a c)) (pow b_2 2))))>
#<alt (pow b_2 4)>
#<alt (* (pow b_2 4) (+ 1 (* 2 (/ (* a c) (pow b_2 2)))))>
#<alt (* (pow b_2 4) (+ 1 (+ (* 2 (/ (* a c) (pow b_2 2))) (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))>
#<alt (* (pow b_2 4) (+ 1 (+ (* 2 (/ (* a c) (pow b_2 2))) (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))>
#<alt (pow b_2 4)>
#<alt (* (pow b_2 4) (+ 1 (* 2 (/ (* a c) (pow b_2 2)))))>
#<alt (* (pow b_2 4) (+ 1 (+ (* 2 (/ (* a c) (pow b_2 2))) (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))>
#<alt (* (pow b_2 4) (+ 1 (+ (* 2 (/ (* a c) (pow b_2 2))) (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))>
#<alt (pow b_2 4)>
#<alt (+ (* 2 (* a (* (pow b_2 2) c))) (pow b_2 4))>
#<alt (+ (* a (+ (* 2 (* (pow b_2 2) c)) (* a (pow c 2)))) (pow b_2 4))>
#<alt (+ (* a (+ (* 2 (* (pow b_2 2) c)) (* a (pow c 2)))) (pow b_2 4))>
#<alt (* (pow a 2) (pow c 2))>
#<alt (* (pow a 2) (+ (* 2 (/ (* (pow b_2 2) c) a)) (pow c 2)))>
#<alt (* (pow a 2) (+ (* 2 (/ (* (pow b_2 2) c) a)) (+ (/ (pow b_2 4) (pow a 2)) (pow c 2))))>
#<alt (* (pow a 2) (+ (* 2 (/ (* (pow b_2 2) c) a)) (+ (/ (pow b_2 4) (pow a 2)) (pow c 2))))>
#<alt (* (pow a 2) (pow c 2))>
#<alt (* (pow a 2) (+ (* 2 (/ (* (pow b_2 2) c) a)) (pow c 2)))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -2 (* (pow b_2 2) c)) (* -1 (/ (pow b_2 4) a))) a)) (pow c 2)))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -2 (* (pow b_2 2) c)) (* -1 (/ (pow b_2 4) a))) a)) (pow c 2)))>
#<alt (pow b_2 4)>
#<alt (+ (* 2 (* a (* (pow b_2 2) c))) (pow b_2 4))>
#<alt (+ (* c (+ (* 2 (* a (pow b_2 2))) (* (pow a 2) c))) (pow b_2 4))>
#<alt (+ (* c (+ (* 2 (* a (pow b_2 2))) (* (pow a 2) c))) (pow b_2 4))>
#<alt (* (pow a 2) (pow c 2))>
#<alt (* (pow c 2) (+ (* 2 (/ (* a (pow b_2 2)) c)) (pow a 2)))>
#<alt (* (pow c 2) (+ (* 2 (/ (* a (pow b_2 2)) c)) (+ (/ (pow b_2 4) (pow c 2)) (pow a 2))))>
#<alt (* (pow c 2) (+ (* 2 (/ (* a (pow b_2 2)) c)) (+ (/ (pow b_2 4) (pow c 2)) (pow a 2))))>
#<alt (* (pow a 2) (pow c 2))>
#<alt (* (pow c 2) (+ (* 2 (/ (* a (pow b_2 2)) c)) (pow a 2)))>
#<alt (* (pow c 2) (+ (* -1 (/ (+ (* -2 (* a (pow b_2 2))) (* -1 (/ (pow b_2 4) c))) c)) (pow a 2)))>
#<alt (* (pow c 2) (+ (* -1 (/ (+ (* -2 (* a (pow b_2 2))) (* -1 (/ (pow b_2 4) c))) c)) (pow a 2)))>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 3)>
#<alt (pow b_2 3)>
#<alt (pow b_2 3)>
#<alt (pow b_2 3)>
#<alt (pow b_2 3)>
#<alt (pow b_2 3)>
#<alt (pow b_2 3)>
#<alt (pow b_2 3)>
#<alt (pow b_2 3)>
#<alt (pow b_2 3)>
#<alt (pow b_2 3)>
#<alt (pow b_2 3)>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b_2 2))>
#<alt (* (pow c 2) (+ (* -1 (/ (* (pow a 3) c) (pow b_2 4))) (/ (pow a 2) (pow b_2 2))))>
#<alt (* (pow c 2) (+ (* c (- (/ (* (pow a 4) c) (pow b_2 6)) (/ (pow a 3) (pow b_2 4)))) (/ (pow a 2) (pow b_2 2))))>
#<alt (* (pow c 2) (+ (* c (- (* c (- (* -1 (/ (* (pow a 5) c) (pow b_2 8))) (* -1 (/ (pow a 4) (pow b_2 6))))) (/ (pow a 3) (pow b_2 4)))) (/ (pow a 2) (pow b_2 2))))>
#<alt (* a c)>
#<alt (* c (+ a (* -1 (/ (pow b_2 2) c))))>
#<alt (* c (- (+ a (/ (pow b_2 4) (* a (pow c 2)))) (/ (pow b_2 2) c)))>
#<alt (* c (- (+ a (* -1 (/ (pow b_2 6) (* (pow a 2) (pow c 3))))) (+ (* -1 (/ (pow b_2 4) (* a (pow c 2)))) (/ (pow b_2 2) c))))>
#<alt (* a c)>
#<alt (* -1 (* c (+ (* -1 a) (/ (pow b_2 2) c))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (- (/ (pow b_2 4) (* a c)) (pow b_2 2)) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 6) (* (pow a 2) c)) (/ (pow b_2 4) a)) c)) (pow b_2 2)) c)))))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b_2 2))>
#<alt (* (pow a 2) (+ (* -1 (/ (* a (pow c 3)) (pow b_2 4))) (/ (pow c 2) (pow b_2 2))))>
#<alt (* (pow a 2) (+ (* a (- (/ (* a (pow c 4)) (pow b_2 6)) (/ (pow c 3) (pow b_2 4)))) (/ (pow c 2) (pow b_2 2))))>
#<alt (* (pow a 2) (+ (* a (- (* a (- (* -1 (/ (* a (pow c 5)) (pow b_2 8))) (* -1 (/ (pow c 4) (pow b_2 6))))) (/ (pow c 3) (pow b_2 4)))) (/ (pow c 2) (pow b_2 2))))>
#<alt (* a c)>
#<alt (* a (+ c (* -1 (/ (pow b_2 2) a))))>
#<alt (* a (- (+ c (/ (pow b_2 4) (* (pow a 2) c))) (/ (pow b_2 2) a)))>
#<alt (* a (- (+ c (* -1 (/ (pow b_2 6) (* (pow a 3) (pow c 2))))) (+ (* -1 (/ (pow b_2 4) (* (pow a 2) c))) (/ (pow b_2 2) a))))>
#<alt (* a c)>
#<alt (* -1 (* a (+ (* -1 c) (/ (pow b_2 2) a))))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (- (/ (pow b_2 4) (* a c)) (pow b_2 2)) a)))))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 6) (* a (pow c 2))) (/ (pow b_2 4) c)) a)) (pow b_2 2)) a)))))>
#<alt (* a c)>
#<alt (+ (* -1 (pow b_2 2)) (* a c))>
#<alt (+ (* a c) (* (pow b_2 2) (- (/ (pow b_2 2) (* a c)) 1)))>
#<alt (+ (* a c) (* (pow b_2 2) (- (* (pow b_2 2) (+ (* -1 (/ (pow b_2 2) (* (pow a 2) (pow c 2)))) (/ 1 (* a c)))) 1)))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b_2 2))>
#<alt (/ (+ (* -1 (/ (* (pow a 3) (pow c 3)) (pow b_2 2))) (* (pow a 2) (pow c 2))) (pow b_2 2))>
#<alt (/ (- (+ (* (pow a 2) (pow c 2)) (/ (* (pow a 4) (pow c 4)) (pow b_2 4))) (/ (* (pow a 3) (pow c 3)) (pow b_2 2))) (pow b_2 2))>
#<alt (/ (- (+ (* -1 (/ (* (pow a 5) (pow c 5)) (pow b_2 6))) (* (pow a 2) (pow c 2))) (+ (* -1 (/ (* (pow a 4) (pow c 4)) (pow b_2 4))) (/ (* (pow a 3) (pow c 3)) (pow b_2 2)))) (pow b_2 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b_2 2))>
#<alt (/ (+ (* -1 (/ (* (pow a 3) (pow c 3)) (pow b_2 2))) (* (pow a 2) (pow c 2))) (pow b_2 2))>
#<alt (/ (- (+ (* (pow a 2) (pow c 2)) (/ (* (pow a 4) (pow c 4)) (pow b_2 4))) (/ (* (pow a 3) (pow c 3)) (pow b_2 2))) (pow b_2 2))>
#<alt (/ (- (+ (* -1 (/ (* (pow a 5) (pow c 5)) (pow b_2 6))) (* (pow a 2) (pow c 2))) (+ (* -1 (/ (* (pow a 4) (pow c 4)) (pow b_2 4))) (/ (* (pow a 3) (pow c 3)) (pow b_2 2)))) (pow b_2 2))>
#<alt (/ b_2 (* a c))>
#<alt (* b_2 (+ (* -1 (/ (pow b_2 2) (* (pow a 2) (pow c 2)))) (/ 1 (* a c))))>
#<alt (* b_2 (+ (* (pow b_2 2) (- (/ (pow b_2 2) (* (pow a 3) (pow c 3))) (/ 1 (* (pow a 2) (pow c 2))))) (/ 1 (* a c))))>
#<alt (* b_2 (+ (* (pow b_2 2) (- (* (pow b_2 2) (+ (* -1 (/ (pow b_2 2) (* (pow a 4) (pow c 4)))) (/ 1 (* (pow a 3) (pow c 3))))) (/ 1 (* (pow a 2) (pow c 2))))) (/ 1 (* a c))))>
#<alt (/ 1 b_2)>
#<alt (/ (+ 1 (* -1 (/ (* a c) (pow b_2 2)))) b_2)>
#<alt (/ (- (+ 1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (/ (* a c) (pow b_2 2))) b_2)>
#<alt (/ (- (+ 1 (* -1 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (/ (* a c) (pow b_2 2)))) b_2)>
#<alt (/ 1 b_2)>
#<alt (* -1 (/ (- (/ (* a c) (pow b_2 2)) 1) b_2))>
#<alt (* -1 (/ (- (* -1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ 1 (* -1 (/ (* a c) (pow b_2 2))))) b_2))>
#<alt (* -1 (/ (- (/ (* (pow a 3) (pow c 3)) (pow b_2 6)) (+ 1 (+ (* -1 (/ (* a c) (pow b_2 2))) (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))) b_2))>
#<alt (/ 1 b_2)>
#<alt (+ (* -1 (/ (* a c) (pow b_2 3))) (/ 1 b_2))>
#<alt (+ (* a (- (/ (* a (pow c 2)) (pow b_2 5)) (/ c (pow b_2 3)))) (/ 1 b_2))>
#<alt (+ (* a (- (* a (- (* -1 (/ (* a (pow c 3)) (pow b_2 7))) (* -1 (/ (pow c 2) (pow b_2 5))))) (/ c (pow b_2 3)))) (/ 1 b_2))>
#<alt (/ b_2 (* a c))>
#<alt (/ (+ (* -1 (/ (pow b_2 3) (* a (pow c 2)))) (/ b_2 c)) a)>
#<alt (/ (- (+ (/ b_2 c) (/ (pow b_2 5) (* (pow a 2) (pow c 3)))) (/ (pow b_2 3) (* a (pow c 2)))) a)>
#<alt (/ (- (+ (* -1 (/ (pow b_2 7) (* (pow a 3) (pow c 4)))) (/ b_2 c)) (+ (* -1 (/ (pow b_2 5) (* (pow a 2) (pow c 3)))) (/ (pow b_2 3) (* a (pow c 2))))) a)>
#<alt (/ b_2 (* a c))>
#<alt (* -1 (/ (+ (* -1 (/ b_2 c)) (/ (pow b_2 3) (* a (pow c 2)))) a))>
#<alt (* -1 (/ (+ (* -1 (/ b_2 c)) (* -1 (/ (- (/ (pow b_2 5) (* a (pow c 3))) (/ (pow b_2 3) (pow c 2))) a))) a))>
#<alt (* -1 (/ (+ (* -1 (/ b_2 c)) (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 7) (* a (pow c 4))) (/ (pow b_2 5) (pow c 3))) a)) (/ (pow b_2 3) (pow c 2))) a))) a))>
#<alt (/ 1 b_2)>
#<alt (+ (* -1 (/ (* a c) (pow b_2 3))) (/ 1 b_2))>
#<alt (+ (* c (- (/ (* (pow a 2) c) (pow b_2 5)) (/ a (pow b_2 3)))) (/ 1 b_2))>
#<alt (+ (* c (- (* c (- (* -1 (/ (* (pow a 3) c) (pow b_2 7))) (* -1 (/ (pow a 2) (pow b_2 5))))) (/ a (pow b_2 3)))) (/ 1 b_2))>
#<alt (/ b_2 (* a c))>
#<alt (/ (+ (* -1 (/ (pow b_2 3) (* (pow a 2) c))) (/ b_2 a)) c)>
#<alt (/ (- (+ (/ b_2 a) (/ (pow b_2 5) (* (pow a 3) (pow c 2)))) (/ (pow b_2 3) (* (pow a 2) c))) c)>
#<alt (/ (- (+ (* -1 (/ (pow b_2 7) (* (pow a 4) (pow c 3)))) (/ b_2 a)) (+ (* -1 (/ (pow b_2 5) (* (pow a 3) (pow c 2)))) (/ (pow b_2 3) (* (pow a 2) c)))) c)>
#<alt (/ b_2 (* a c))>
#<alt (* -1 (/ (+ (* -1 (/ b_2 a)) (/ (pow b_2 3) (* (pow a 2) c))) c))>
#<alt (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (- (/ (pow b_2 5) (* (pow a 3) c)) (/ (pow b_2 3) (pow a 2))) c))) c))>
#<alt (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 7) (* (pow a 4) c)) (/ (pow b_2 5) (pow a 3))) c)) (/ (pow b_2 3) (pow a 2))) c))) c))>
Calls

156 calls:

TimeVariablePointExpression
52.0ms
b_2
@0
(+ (neg b_2) (pow (* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c))) 1/4))
20.0ms
c
@0
(+ (neg b_2) (pow (* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c))) 1/4))
14.0ms
a
@0
(+ (neg b_2) (pow (* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c))) 1/4))
3.0ms
a
@inf
(+ (* (* b_2 (+ (* b_2 b_2) 0)) (/ b_2 (+ (* b_2 b_2) (* a c)))) (neg (/ (* c (* a (* a c))) (+ (* b_2 b_2) (* a c)))))
3.0ms
a
@inf
(/ (* b_2 -2) a)

rewrite538.0ms (4.5%)

Memory
-3.3MiB live, 787.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 754×accelerator-lowering-fma.f32
4 754×accelerator-lowering-fma.f64
3 180×/-lowering-/.f32
3 180×/-lowering-/.f64
2 838×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040197
1251173
22381167
010005154
Stop Event
iter limit
node limit
Counts
23 → 1 590
Calls
Call 1
Inputs
(+ (neg b_2) (pow (* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c))) 1/4))
(/ (+ (neg b_2) (pow (* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c))) 1/4)) a)
(pow (* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c))) 1/4)
(+ (* b_2 b_2) (* a c))
(/ (* b_2 -2) a)
(* b_2 -2)
(sqrt (* b_2 b_2))
(+ (neg b_2) (sqrt (* b_2 b_2)))
(/ (+ (neg b_2) (sqrt (* b_2 b_2))) a)
(neg b_2)
(* c (+ (* c (/ (* a -1/8) (* b_2 (* b_2 b_2)))) (/ -1/2 b_2)))
(+ (* c (/ (* a -1/8) (* b_2 (* b_2 b_2)))) (/ -1/2 b_2))
(/ (* a -1/8) (* b_2 (* b_2 b_2)))
(* a -1/8)
(+ (* (* b_2 (+ (* b_2 b_2) 0)) (/ b_2 (+ (* b_2 b_2) (* a c)))) (neg (/ (* c (* a (* a c))) (+ (* b_2 b_2) (* a c)))))
(+ (neg b_2) (sqrt (+ (* (* b_2 (+ (* b_2 b_2) 0)) (/ b_2 (+ (* b_2 b_2) (* a c)))) (neg (/ (* c (* a (* a c))) (+ (* b_2 b_2) (* a c)))))))
(/ (+ (neg b_2) (sqrt (+ (* (* b_2 (+ (* b_2 b_2) 0)) (/ b_2 (+ (* b_2 b_2) (* a c)))) (neg (/ (* c (* a (* a c))) (+ (* b_2 b_2) (* a c))))))) a)
(sqrt (+ (* (* b_2 (+ (* b_2 b_2) 0)) (/ b_2 (+ (* b_2 b_2) (* a c)))) (neg (/ (* c (* a (* a c))) (+ (* b_2 b_2) (* a c))))))
(* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c)))
(* b_2 b_2)
(* b_2 (* b_2 b_2))
(/ (* c (* a (* a c))) (+ (* b_2 b_2) (* a c)))
(/ b_2 (+ (* b_2 b_2) (* a c)))
Outputs
(+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))
(+.f64 b_2 (neg.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(+.f64 b_2 (*.f64 (neg.f64 (pow.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal 1/4 binary64))))
(+.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) b_2)
(+.f64 (neg.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) b_2)
(-.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))
(-.f64 #s(literal 0 binary64) (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(-.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) b_2)
(-.f64 (/.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(-.f64 (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (/.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(-.f64 (+.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) #s(literal 0 binary64)) b_2)
(-.f64 (/.f64 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 (fma.f64 b_2 b_2 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (*.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))) (/.f64 (*.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (-.f64 (fma.f64 b_2 b_2 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (*.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))
(fma.f64 b_2 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))
(fma.f64 b_2 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(fma.f64 b_2 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal 1/4 binary64))))
(fma.f64 b_2 #s(literal -1 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))
(fma.f64 b_2 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(fma.f64 b_2 #s(literal -1 binary64) (*.f64 (neg.f64 (pow.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal 1/4 binary64))))
(fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))
(fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (pow.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal 1/4 binary64))))
(fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))
(fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (*.f64 (neg.f64 (pow.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal 1/4 binary64))))
(fma.f64 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))
(fma.f64 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(fma.f64 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (pow.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal 1/4 binary64))))
(fma.f64 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))
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(*.f64 #s(literal -1 binary64) (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(*.f64 (fma.f64 b_2 b_2 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(exp.f64 (*.f64 (log.f64 (/.f64 a (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) a) (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) a))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) a)) (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) a))
(-.f64 (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))) (/.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 a (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) a)) (/.f64 b_2 a))
(-.f64 (/.f64 (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (-.f64 #s(literal 0 binary64) a)) (/.f64 (/.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (-.f64 #s(literal 0 binary64) a)))
(-.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) a)) (/.f64 b_2 a))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) a) (/.f64 b_2 a))
(-.f64 (/.f64 (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) a) (/.f64 (/.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) a))
(-.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) #s(literal 0 binary64)) a) (/.f64 b_2 a))
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(/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) a)
(/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (-.f64 #s(literal 0 binary64) a))
(/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) a)))
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(/.f64 #s(literal 1 binary64) (/.f64 a (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 a (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))))
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(/.f64 (*.f64 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 b_2 b_2 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (*.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) a))
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(/.f64 (*.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) #s(literal 1 binary64)) a)
(/.f64 (*.f64 (fma.f64 b_2 b_2 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) a)) (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
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(/.f64 (neg.f64 (*.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) a))
(/.f64 (neg.f64 (*.f64 (fma.f64 b_2 b_2 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) a))) (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
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(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
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(exp.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (log.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) #s(literal 1/8 binary64))))
(exp.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (log.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) #s(literal 1/8 binary64) (*.f64 (log.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) #s(literal 1/4 binary64))))
(exp.f64 (fma.f64 (log.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) #s(literal 1/8 binary64))))
(exp.f64 (fma.f64 (log.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) #s(literal 1/4 binary64) (*.f64 (log.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) #s(literal 1/4 binary64))))
(fabs.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))
(sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (/.f64 (*.f64 (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (*.f64 (-.f64 (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (/.f64 (*.f64 (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(/.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))
(/.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (neg.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (/.f64 (*.f64 (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (sqrt.f64 (-.f64 (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (/.f64 (*.f64 (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))
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(/.f64 (sqrt.f64 (neg.f64 (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (sqrt.f64 (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 a (*.f64 c (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))
(/.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (sqrt.f64 (/.f64 (-.f64 (*.f64 a (*.f64 c (*.f64 a c))) (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (/.f64 (*.f64 (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (neg.f64 (sqrt.f64 (-.f64 (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (/.f64 (*.f64 (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))))
(pow.f64 (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) #s(literal 1 binary64))
(pow.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) #s(literal 1/8 binary64))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
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(*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(*.f64 (pow.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (/.f64 (*.f64 (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (/.f64 (*.f64 (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))) #s(literal 1/2 binary64)))
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(+.f64 (neg.f64 (*.f64 a c)) (fma.f64 b_2 b_2 #s(literal 0 binary64)))
(+.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64)))
(+.f64 (-.f64 (/.f64 (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) #s(literal 0 binary64)) (*.f64 (*.f64 a (*.f64 a c)) (/.f64 c (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(exp.f64 (log.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) #s(literal 1/4 binary64)))
(hypot.f64 (/.f64 (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (*.f64 (*.f64 a (*.f64 a c)) (/.f64 c (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(fabs.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))
(-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))
(-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 a (*.f64 c (*.f64 a c))) (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))
(-.f64 (/.f64 (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (*.f64 (*.f64 a (*.f64 a c)) (/.f64 c (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(-.f64 (/.f64 (/.f64 (*.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (/.f64 (/.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))
(-.f64 (fma.f64 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 b_2 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) #s(literal 0 binary64)) (*.f64 (*.f64 a (*.f64 a c)) (/.f64 c (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(-.f64 (/.f64 (*.f64 (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (/.f64 (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c (*.f64 a c))))) (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(-.f64 (/.f64 (*.f64 (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (/.f64 (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(-.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (-.f64 (*.f64 a c) (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (/.f64 (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 a c) (fma.f64 b_2 b_2 #s(literal 0 binary64)))))
(-.f64 (/.f64 (*.f64 (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 a (*.f64 c (*.f64 a c))))) (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (/.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 a (*.f64 c (*.f64 a c)))))) (/.f64 (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (/.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 a (*.f64 c (*.f64 a c)))))))
(-.f64 (/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (-.f64 (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (/.f64 (*.f64 (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))) (/.f64 (/.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 a (*.f64 c (*.f64 a c))))) (*.f64 (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (-.f64 (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (/.f64 (*.f64 (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))
(-.f64 (/.f64 (fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 a (*.f64 c (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 a (*.f64 c (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (/.f64 (-.f64 (*.f64 a (*.f64 c (*.f64 a c))) (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (/.f64 (/.f64 (*.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (/.f64 (-.f64 (*.f64 a (*.f64 c (*.f64 a c))) (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(sqrt.f64 (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))
(fma.f64 b_2 b_2 (*.f64 a c))
(fma.f64 b_2 b_2 (neg.f64 (*.f64 a c)))
(fma.f64 b_2 b_2 (*.f64 (-.f64 #s(literal 0 binary64) a) c))
(fma.f64 b_2 b_2 (*.f64 (neg.f64 c) a))
(fma.f64 b_2 b_2 (+.f64 #s(literal 0 binary64) (*.f64 a c)))
(fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (*.f64 a c)))
(fma.f64 b_2 (/.f64 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (*.f64 (*.f64 a (*.f64 a c)) (/.f64 c (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(fma.f64 b_2 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (*.f64 a (*.f64 a c)) (/.f64 c (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 1 binary64) (*.f64 a c))
(fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 1 binary64) (neg.f64 (*.f64 a c)))
(fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) a) c))
(fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 1 binary64) (*.f64 (neg.f64 c) a))
(fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 a c)))
(fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 a c)))
(fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 b_2 (/.f64 b_2 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (*.f64 (*.f64 a (*.f64 a c)) (/.f64 c (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))
(fma.f64 c a (fma.f64 b_2 b_2 #s(literal 0 binary64)))
(fma.f64 c (/.f64 (*.f64 a (*.f64 a c)) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (/.f64 (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))
(fma.f64 c (neg.f64 (/.f64 (*.f64 a (*.f64 a c)) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (/.f64 (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))
(fma.f64 (*.f64 a c) (*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (/.f64 (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))
(fma.f64 (*.f64 a c) (/.f64 (*.f64 a c) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (/.f64 (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))
(fma.f64 (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 b_2 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (*.f64 (*.f64 a (*.f64 a c)) (/.f64 c (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(fma.f64 (/.f64 b_2 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (*.f64 a (*.f64 a c)) (/.f64 c (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(fma.f64 (*.f64 a (*.f64 a c)) (*.f64 c (/.f64 #s(literal 1 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (/.f64 (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))
(fma.f64 (*.f64 a (*.f64 a c)) (/.f64 c (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (/.f64 (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))
(fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) (/.f64 #s(literal 1 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (/.f64 (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))
(fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (/.f64 (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))
(fma.f64 (*.f64 (*.f64 a (*.f64 a c)) (/.f64 c (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) #s(literal -1 binary64) (/.f64 (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))
(fma.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 b_2) (*.f64 b_2 (sqrt.f64 b_2)) (*.f64 a c))
(fma.f64 (sqrt.f64 b_2) (*.f64 b_2 (sqrt.f64 b_2)) (neg.f64 (*.f64 a c)))
(fma.f64 (sqrt.f64 b_2) (*.f64 b_2 (sqrt.f64 b_2)) (*.f64 (-.f64 #s(literal 0 binary64) a) c))
(fma.f64 (sqrt.f64 b_2) (*.f64 b_2 (sqrt.f64 b_2)) (*.f64 (neg.f64 c) a))
(fma.f64 (sqrt.f64 b_2) (*.f64 b_2 (sqrt.f64 b_2)) (+.f64 #s(literal 0 binary64) (*.f64 a c)))
(fma.f64 (sqrt.f64 b_2) (*.f64 b_2 (sqrt.f64 b_2)) (-.f64 #s(literal 0 binary64) (*.f64 a c)))
(fma.f64 (sqrt.f64 b_2) (pow.f64 (*.f64 b_2 (sqrt.f64 b_2)) #s(literal 1 binary64)) (*.f64 a c))
(fma.f64 (sqrt.f64 b_2) (pow.f64 (*.f64 b_2 (sqrt.f64 b_2)) #s(literal 1 binary64)) (neg.f64 (*.f64 a c)))
(fma.f64 (sqrt.f64 b_2) (pow.f64 (*.f64 b_2 (sqrt.f64 b_2)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) a) c))
(fma.f64 (sqrt.f64 b_2) (pow.f64 (*.f64 b_2 (sqrt.f64 b_2)) #s(literal 1 binary64)) (*.f64 (neg.f64 c) a))
(fma.f64 (sqrt.f64 b_2) (pow.f64 (*.f64 b_2 (sqrt.f64 b_2)) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 a c)))
(fma.f64 (sqrt.f64 b_2) (pow.f64 (*.f64 b_2 (sqrt.f64 b_2)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 a c)))
(fma.f64 (sqrt.f64 b_2) (fabs.f64 (*.f64 b_2 (sqrt.f64 b_2))) (*.f64 a c))
(fma.f64 (sqrt.f64 b_2) (fabs.f64 (*.f64 b_2 (sqrt.f64 b_2))) (neg.f64 (*.f64 a c)))
(fma.f64 (sqrt.f64 b_2) (fabs.f64 (*.f64 b_2 (sqrt.f64 b_2))) (*.f64 (-.f64 #s(literal 0 binary64) a) c))
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(exp.f64 (*.f64 (log.f64 (/.f64 a (+.f64 b_2 b_2))) #s(literal -1 binary64)))
(-.f64 (/.f64 b_2 a) (/.f64 b_2 a))
(-.f64 (/.f64 #s(literal 0 binary64) a) (/.f64 (+.f64 b_2 b_2) a))
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(neg.f64 (/.f64 (+.f64 b_2 b_2) a))
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(/.f64 (+.f64 b_2 b_2) (-.f64 #s(literal 0 binary64) a))
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(/.f64 #s(literal 1 binary64) (/.f64 a (+.f64 b_2 b_2)))
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b_2
(+.f64 b_2 #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) b_2)
(exp.f64 (log.f64 b_2))
(exp.f64 (*.f64 (log.f64 b_2) #s(literal 1 binary64)))
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(exp.f64 (-.f64 (*.f64 (log.f64 b_2) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 b_2))))
(fabs.f64 b_2)
(fabs.f64 (-.f64 b_2 #s(literal 0 binary64)))
(-.f64 b_2 (/.f64 (/.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 #s(literal 0 binary64))) b_2))
(-.f64 b_2 (/.f64 #s(literal 0 binary64) b_2))
(-.f64 #s(literal 0 binary64) b_2)
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 #s(literal 0 binary64))) b_2)
(-.f64 (/.f64 #s(literal 0 binary64) b_2) b_2)
(sqrt.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)))
(fma.f64 b_2 #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 b_2 #s(literal -1 binary64) #s(literal 0 binary64))
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(neg.f64 (*.f64 a (/.f64 #s(literal -1/8 binary64) (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)))))
(/.f64 (*.f64 a #s(literal -1/8 binary64)) (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (*.f64 a #s(literal 1/8 binary64)) (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -8 binary64)) a))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -8 binary64)) a) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (/.f64 (*.f64 a #s(literal -1/8 binary64)) b_2)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -8 binary64)) a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -8 binary64)) a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -8 binary64)) a) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (/.f64 (*.f64 a #s(literal -1/8 binary64)) b_2))))
(/.f64 (/.f64 (*.f64 a #s(literal -1/8 binary64)) b_2) (fma.f64 b_2 b_2 #s(literal 0 binary64)))
(/.f64 (neg.f64 (*.f64 a #s(literal 1/8 binary64))) (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (neg.f64 (/.f64 (*.f64 a #s(literal -1/8 binary64)) b_2)) (fma.f64 b_2 b_2 #s(literal 0 binary64)))
(/.f64 (/.f64 (*.f64 a #s(literal -1/8 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64))) b_2)
(/.f64 (*.f64 (*.f64 a #s(literal -1/8 binary64)) #s(literal 1 binary64)) (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (*.f64 (/.f64 a b_2) #s(literal -1/8 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64)))
(/.f64 (*.f64 a (/.f64 #s(literal -1/8 binary64) (fma.f64 b_2 b_2 #s(literal 0 binary64)))) b_2)
(/.f64 (/.f64 (/.f64 (*.f64 a #s(literal -1/8 binary64)) b_2) b_2) b_2)
(/.f64 (neg.f64 (neg.f64 (*.f64 a #s(literal 1/8 binary64)))) (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 a #s(literal -1/8 binary64)) b_2))) (fma.f64 b_2 b_2 #s(literal 0 binary64)))
(/.f64 (neg.f64 (/.f64 (*.f64 a #s(literal -1/8 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64)))) b_2)
(/.f64 (neg.f64 (*.f64 (*.f64 a #s(literal -1/8 binary64)) #s(literal 1 binary64))) (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)))
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(/.f64 (neg.f64 (*.f64 a (/.f64 #s(literal -1/8 binary64) (fma.f64 b_2 b_2 #s(literal 0 binary64))))) b_2)
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(pow.f64 (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (/.f64 (*.f64 a #s(literal -1/8 binary64)) b_2)) #s(literal -1 binary64))
(*.f64 a (/.f64 #s(literal -1/8 binary64) (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 #s(literal -1/8 binary64) (*.f64 a (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)))))
(*.f64 #s(literal -1/8 binary64) (/.f64 a (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (*.f64 a #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (*.f64 a #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (/.f64 a b_2) (/.f64 #s(literal -1/8 binary64) (fma.f64 b_2 b_2 #s(literal 0 binary64))))
(*.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 b_2 b_2 #s(literal 0 binary64))) (/.f64 a b_2))
(*.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64))) a)
(*.f64 #s(literal 1 binary64) (*.f64 a (/.f64 #s(literal -1/8 binary64) (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)))))
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(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 a #s(literal -1/8 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -1/8 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 a #s(literal -1/8 binary64)) b_2) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 #s(literal 0 binary64))))
(*.f64 (/.f64 a (fma.f64 b_2 b_2 #s(literal 0 binary64))) (/.f64 #s(literal -1/8 binary64) b_2))
(*.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 a (fma.f64 b_2 b_2 #s(literal 0 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 #s(literal 0 binary64))) (/.f64 (*.f64 a #s(literal -1/8 binary64)) b_2))
(*.f64 (/.f64 (/.f64 (*.f64 a #s(literal -1/8 binary64)) b_2) (fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
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(*.f64 a #s(literal -1/8 binary64))
(*.f64 #s(literal -1/8 binary64) a)
(+.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))
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(+.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal 0 binary64))
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(+.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64)))
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(exp.f64 (log.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) #s(literal 1/2 binary64)))
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(-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))
(-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 a (*.f64 c (*.f64 a c))) (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))
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(-.f64 (fma.f64 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 b_2 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) #s(literal 0 binary64)) (*.f64 (*.f64 a (*.f64 a c)) (/.f64 c (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
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(-.f64 (/.f64 (*.f64 (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 a (*.f64 c (*.f64 a c))))) (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (/.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 a (*.f64 c (*.f64 a c)))))) (/.f64 (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (/.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 a (*.f64 c (*.f64 a c)))))))
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(-.f64 (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))) (/.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 a (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) a)) (/.f64 b_2 a))
(-.f64 (/.f64 (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (-.f64 #s(literal 0 binary64) a)) (/.f64 (/.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (-.f64 #s(literal 0 binary64) a)))
(-.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) a)) (/.f64 b_2 a))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) a) (/.f64 b_2 a))
(-.f64 (/.f64 (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) a) (/.f64 (/.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) a))
(-.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) #s(literal 0 binary64)) a) (/.f64 b_2 a))
(neg.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) a))
(/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) a)
(/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (-.f64 #s(literal 0 binary64) a))
(/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) a)))
(/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) a))))
(/.f64 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (*.f64 a (-.f64 (fma.f64 b_2 b_2 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (*.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 a (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 a (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 a (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) #s(literal 1 binary64))))
(/.f64 (fma.f64 b_2 b_2 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (*.f64 a (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(/.f64 (*.f64 (fma.f64 b_2 b_2 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) a))
(/.f64 (*.f64 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 b_2 b_2 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (*.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) a))
(/.f64 (neg.f64 (fma.f64 b_2 b_2 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (neg.f64 (*.f64 a (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))
(/.f64 (neg.f64 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (neg.f64 (*.f64 a (-.f64 (fma.f64 b_2 b_2 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (*.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))))
(/.f64 (*.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) #s(literal 1 binary64)) a)
(/.f64 (*.f64 (fma.f64 b_2 b_2 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) a)) (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(/.f64 (*.f64 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) a)) (-.f64 (fma.f64 b_2 b_2 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (*.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 b_2 b_2 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) a)))
(/.f64 (neg.f64 (*.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) a))
(/.f64 (neg.f64 (*.f64 (fma.f64 b_2 b_2 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) a))) (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (fma.f64 b_2 b_2 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (*.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) a)))
(/.f64 (neg.f64 (*.f64 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) a))) (neg.f64 (-.f64 (fma.f64 b_2 b_2 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (*.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))
(pow.f64 (/.f64 a (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 a (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) a))
(*.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) a))
(*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 a (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 b_2 b_2 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (*.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))
(*.f64 (pow.f64 (/.f64 a (fma.f64 b_2 b_2 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) #s(literal 1/8 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) #s(literal 1/8 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (log.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) #s(literal 1/8 binary64))))
(exp.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (log.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) #s(literal 1/8 binary64) (*.f64 (log.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) #s(literal 1/4 binary64))))
(exp.f64 (fma.f64 (log.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) #s(literal 1/8 binary64))))
(exp.f64 (fma.f64 (log.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) #s(literal 1/4 binary64) (*.f64 (log.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) #s(literal 1/4 binary64))))
(fabs.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))
(sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (/.f64 (*.f64 (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (*.f64 (-.f64 (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (/.f64 (*.f64 (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(/.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))
(/.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (neg.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (/.f64 (*.f64 (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (sqrt.f64 (-.f64 (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (/.f64 (*.f64 (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (/.f64 (*.f64 (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (sqrt.f64 (+.f64 (/.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (/.f64 (-.f64 (*.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c (*.f64 a c)))))) (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))
(/.f64 (sqrt.f64 (-.f64 (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c (*.f64 a c)))))) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 a (*.f64 c (*.f64 a c)))))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))
(/.f64 (sqrt.f64 (fma.f64 (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c (*.f64 a c))))))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))
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(pow.f64 (/.f64 (/.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 c (/.f64 (*.f64 a (*.f64 a c)) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))
(*.f64 c (neg.f64 (/.f64 (*.f64 a (*.f64 a c)) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(*.f64 (*.f64 a c) (/.f64 (*.f64 a c) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))
(*.f64 (*.f64 a (*.f64 a c)) (*.f64 c (/.f64 #s(literal 1 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(*.f64 (*.f64 a (*.f64 a c)) (/.f64 c (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))
(*.f64 (*.f64 a (*.f64 c (*.f64 a c))) (/.f64 #s(literal 1 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))
(*.f64 (*.f64 a (*.f64 c (*.f64 a c))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(*.f64 (*.f64 (*.f64 a (*.f64 a c)) (/.f64 c (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c (*.f64 a c)))) (/.f64 #s(literal 1 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a c)) (/.f64 c (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (*.f64 a (*.f64 c (*.f64 a c))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 a (*.f64 a c)) (/.f64 c (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(*.f64 (/.f64 (*.f64 a (*.f64 a c)) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) c)
(*.f64 (neg.f64 c) (/.f64 (*.f64 a (*.f64 a c)) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))
(*.f64 (*.f64 #s(literal -1 binary64) c) (/.f64 (*.f64 a (*.f64 a c)) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))
(*.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 a (*.f64 c (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(*.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c (*.f64 a c)))) (fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 a (*.f64 c (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) b_2)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (/.f64 b_2 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))
(neg.f64 (/.f64 b_2 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))
(/.f64 b_2 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) b_2))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) b_2) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) b_2))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) b_2)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) b_2) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) #s(literal 3 binary64)) (/.f64 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (fma.f64 (/.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (/.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (fma.f64 (/.f64 b_2 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (/.f64 b_2 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (*.f64 (/.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (/.f64 b_2 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))
(pow.f64 (/.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) b_2) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) b_2) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 b_2 (/.f64 #s(literal 1 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 b_2 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) b_2)
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) b_2) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 b_2 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))
(*.f64 (/.f64 b_2 (fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 a (*.f64 c (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(*.f64 (/.f64 b_2 (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))

simplify493.0ms (4.1%)

Memory
-0.5MiB live, 697.6MiB allocated
Algorithm
egg-herbie
Rules
7 034×accelerator-lowering-fma.f32
7 034×accelerator-lowering-fma.f64
6 446×*-lowering-*.f32
6 446×*-lowering-*.f64
4 692×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0137510963
145179947
086519550
Stop Event
iter limit
node limit
Counts
624 → 624
Calls
Call 1
Inputs
(sqrt (* a c))
(+ (sqrt (* a c)) (* -1 b_2))
(+ (sqrt (* a c)) (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) b_2)) 1)))
(+ (sqrt (* a c)) (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2))) (* 1/2 (sqrt (/ 1 (* a c)))))) 1)))
(* 1/2 (/ (* a c) b_2))
(/ (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* 1/2 (* a c))) b_2)
(/ (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (* 1/2 (* a c)))) b_2)
(/ (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (* 1/2 (* a c))))) b_2)
(* -2 b_2)
(* -1 (* b_2 (+ 2 (* 1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2)))))))
(* -1 (* b_2 (+ 2 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (* 1/2 (/ (* a c) (pow b_2 2))))))))
(* 1/2 (/ (* a c) b_2))
(* a (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))
(* a (+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* 1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* a (+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* 1/16 (/ (pow c 3) (pow b_2 5)))))))))
(sqrt (* a c))
(* a (+ (sqrt (/ c a)) (* -1 (/ b_2 a))))
(* a (- (+ (sqrt (/ c a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))) (/ b_2 a)))
(* a (- (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))))) (/ b_2 a)))
(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* (sqrt (/ c a)) (pow (sqrt -1) 2)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2))) b_2) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ a c)) (pow b_2 2)))) a)) b_2) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))
(* 1/2 (/ (* a c) b_2))
(* c (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* 1/2 (/ a b_2))))
(* c (+ (* 1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* 1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))
(* c (+ (* 1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* 1/16 (/ (pow a 3) (pow b_2 5)))))))))
(sqrt (* a c))
(* c (+ (sqrt (/ a c)) (* -1 (/ b_2 c))))
(* c (- (+ (sqrt (/ a c)) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2)))) (/ b_2 c)))
(* c (- (+ (sqrt (/ a c)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))))) (/ b_2 c)))
(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 2)))
(* -1 (* c (+ (* (sqrt (/ a c)) (pow (sqrt -1) 2)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2))) b_2) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ c a)) (pow b_2 2)))) c)) b_2) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))
(sqrt (/ c a))
(+ (sqrt (/ c a)) (* -1 (/ b_2 a)))
(+ (sqrt (/ c a)) (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) b_2)) (/ 1 a))))
(+ (sqrt (/ c a)) (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 2))) (* 1/2 (sqrt (/ 1 (* (pow a 3) c)))))) (/ 1 a))))
(* 1/2 (/ c b_2))
(/ (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2)
(/ (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (* 1/2 c))) b_2)
(/ (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (* 1/2 c)))) b_2)
(* -2 (/ b_2 a))
(* -1 (* b_2 (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))))
(* 1/2 (/ c b_2))
(+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2)))
(+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* 1/16 (/ (pow c 3) (pow b_2 5))))))))
(sqrt (/ c a))
(+ (sqrt (/ c a)) (* -1 (/ b_2 a)))
(+ (sqrt (/ c a)) (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))))
(+ (sqrt (/ c a)) (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))))))
(* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2)))) a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (pow b_2 2))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2))))) a))) a)))
(* 1/2 (/ c b_2))
(* c (+ (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (+ (* c (+ (* -1/8 (/ a (pow b_2 3))) (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (+ (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* 1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(sqrt (/ c a))
(* c (+ (sqrt (/ 1 (* a c))) (* -1 (/ b_2 (* a c)))))
(* c (+ (sqrt (/ 1 (* a c))) (+ (* -1 (/ b_2 (* a c))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2))))))
(* c (+ (sqrt (/ 1 (* a c))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2)))))))
(* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (pow b_2 2)))) c))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))
(sqrt (* a c))
(+ (sqrt (* a c)) (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2))))
(+ (sqrt (* a c)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2))) (* 1/2 (sqrt (/ 1 (* a c)))))))
(+ (sqrt (* a c)) (* (pow b_2 2) (+ (* 1/2 (sqrt (/ 1 (* a c)))) (* (pow b_2 2) (+ (* -1/8 (sqrt (/ 1 (* (pow a 3) (pow c 3))))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (pow b_2 2))))))))
b_2
(* b_2 (+ 1 (* 1/2 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2))))))
(* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (* 1/2 (/ (* a c) (pow b_2 2)))))))
(* -1 b_2)
(* -1 (* b_2 (+ 1 (* 1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2)))))))
(* -1 (* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (* 1/2 (/ (* a c) (pow b_2 2))))))))
b_2
(+ b_2 (* 1/2 (/ (* a c) b_2)))
(+ b_2 (* a (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2)))))
(+ b_2 (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(sqrt (* a c))
(* a (+ (sqrt (/ c a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))))
(* a (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))))))
(* a (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (pow b_2 6))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))))))
(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))) (* (sqrt (/ c a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))))
b_2
(+ b_2 (* 1/2 (/ (* a c) b_2)))
(+ b_2 (* c (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* 1/2 (/ a b_2)))))
(+ b_2 (* c (+ (* 1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* 1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(sqrt (* a c))
(* c (+ (sqrt (/ a c)) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2)))))
(* c (+ (sqrt (/ a c)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))))))
(* c (+ (sqrt (/ a c)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (pow b_2 4))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (pow b_2 6))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2)))))))
(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 2)))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))) (* (sqrt (/ a c)) (pow (sqrt -1) 2))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))))
(* a c)
(+ (* a c) (pow b_2 2))
(+ (* a c) (pow b_2 2))
(+ (* a c) (pow b_2 2))
(pow b_2 2)
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(pow b_2 2)
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(pow b_2 2)
(+ (* a c) (pow b_2 2))
(+ (* a c) (pow b_2 2))
(+ (* a c) (pow b_2 2))
(* a c)
(* a (+ c (/ (pow b_2 2) a)))
(* a (+ c (/ (pow b_2 2) a)))
(* a (+ c (/ (pow b_2 2) a)))
(* a c)
(* -1 (* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a)))))
(pow b_2 2)
(+ (* a c) (pow b_2 2))
(+ (* a c) (pow b_2 2))
(+ (* a c) (pow b_2 2))
(* a c)
(* c (+ a (/ (pow b_2 2) c)))
(* c (+ a (/ (pow b_2 2) c)))
(* c (+ a (/ (pow b_2 2) c)))
(* a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
b_2
b_2
b_2
b_2
b_2
b_2
b_2
b_2
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
0
0
0
0
0
0
0
0
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
0
0
0
0
0
0
0
0
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
0
0
0
0
0
0
0
0
0
0
0
0
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1/2 (/ c b_2))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))
(* a (+ (* -1/2 (/ c (* a b_2))) (* -1/8 (/ (pow c 2) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c (* a b_2))) (* -1/8 (/ (pow c 2) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c (* a b_2))) (* -1/8 (/ (pow c 2) (pow b_2 3)))))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))
(* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 3))) (* 1/2 (/ c (* a b_2))))))
(* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 3))) (* 1/2 (/ c (* a b_2))))))
(* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 3))) (* 1/2 (/ c (* a b_2))))))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))
(/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 3))
(/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 3))
(/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 3))
(* -1/2 (/ c b_2))
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(* -1/2 (/ c b_2))
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(/ -1/2 b_2)
(- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))
(- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))
(- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))
(* -1/8 (/ (* a c) (pow b_2 3)))
(* c (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))
(* c (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))
(* c (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))
(* -1/8 (/ (* a c) (pow b_2 3)))
(* -1 (* c (+ (* 1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c))))))
(* -1 (* c (+ (* 1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c))))))
(* -1 (* c (+ (* 1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c))))))
(/ -1/2 b_2)
(- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))
(- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))
(- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))
(* -1/8 (/ (* a c) (pow b_2 3)))
(* a (- (* -1/8 (/ c (pow b_2 3))) (* 1/2 (/ 1 (* a b_2)))))
(* a (- (* -1/8 (/ c (pow b_2 3))) (* 1/2 (/ 1 (* a b_2)))))
(* a (- (* -1/8 (/ c (pow b_2 3))) (* 1/2 (/ 1 (* a b_2)))))
(* -1/8 (/ (* a c) (pow b_2 3)))
(* -1 (* a (+ (* 1/8 (/ c (pow b_2 3))) (* 1/2 (/ 1 (* a b_2))))))
(* -1 (* a (+ (* 1/8 (/ c (pow b_2 3))) (* 1/2 (/ 1 (* a b_2))))))
(* -1 (* a (+ (* 1/8 (/ c (pow b_2 3))) (* 1/2 (/ 1 (* a b_2))))))
(* -1/8 (/ (* a c) (pow b_2 3)))
(/ (+ (* -1/2 (pow b_2 2)) (* -1/8 (* a c))) (pow b_2 3))
(/ (+ (* -1/2 (pow b_2 2)) (* -1/8 (* a c))) (pow b_2 3))
(/ (+ (* -1/2 (pow b_2 2)) (* -1/8 (* a c))) (pow b_2 3))
(/ -1/2 b_2)
(/ (- (* -1/8 (/ (* a c) (pow b_2 2))) 1/2) b_2)
(/ (- (* -1/8 (/ (* a c) (pow b_2 2))) 1/2) b_2)
(/ (- (* -1/8 (/ (* a c) (pow b_2 2))) 1/2) b_2)
(/ -1/2 b_2)
(* -1 (/ (+ 1/2 (* 1/8 (/ (* a c) (pow b_2 2)))) b_2))
(* -1 (/ (+ 1/2 (* 1/8 (/ (* a c) (pow b_2 2)))) b_2))
(* -1 (/ (+ 1/2 (* 1/8 (/ (* a c) (pow b_2 2)))) b_2))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 a)
(* -1/8 a)
(* -1/8 a)
(* -1/8 a)
(* -1/8 a)
(* -1/8 a)
(* -1/8 a)
(* -1/8 a)
(* -1/8 a)
(* -1/8 a)
(* -1/8 a)
(* -1/8 a)
(* -1 (* a c))
(- (pow b_2 2) (* a c))
(- (pow b_2 2) (* a c))
(- (pow b_2 2) (* a c))
(pow b_2 2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (- (+ 1 (* -1 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))) (pow b_2 4)))) (/ (* a c) (pow b_2 2))))
(* (pow b_2 2) (- (+ 1 (* -1 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))) (pow b_2 4)))) (/ (* a c) (pow b_2 2))))
(pow b_2 2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (- (+ 1 (* -1 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))) (pow b_2 4)))) (/ (* a c) (pow b_2 2))))
(* (pow b_2 2) (- (+ 1 (* -1 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))) (pow b_2 4)))) (/ (* a c) (pow b_2 2))))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) c)) (pow b_2 2))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) c)) (pow b_2 2))
(* -1 (* a c))
(* a (- (/ (pow b_2 2) a) c))
(* a (- (+ (* -1 (/ (pow b_2 4) (* (pow a 2) c))) (+ (/ (pow b_2 2) a) (/ (pow b_2 4) (* (pow a 2) c)))) c))
(* a (- (+ (* -1 (/ (pow b_2 4) (* (pow a 2) c))) (+ (/ (pow b_2 2) a) (/ (pow b_2 4) (* (pow a 2) c)))) c))
(* -1 (* a c))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(* -1 (* a (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)) a)) (pow b_2 2)) a)) (* -1 c))))
(* -1 (* a (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)) a)) (pow b_2 2)) a)) (* -1 c))))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* c (- (* -1 (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) a)) (pow b_2 2))
(+ (* c (- (* -1 (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) a)) (pow b_2 2))
(* -1 (* a c))
(* c (- (/ (pow b_2 2) c) a))
(* c (- (+ (* -1 (/ (pow b_2 4) (* a (pow c 2)))) (+ (/ (pow b_2 2) c) (/ (pow b_2 4) (* a (pow c 2))))) a))
(* c (- (+ (* -1 (/ (pow b_2 4) (* a (pow c 2)))) (+ (/ (pow b_2 2) c) (/ (pow b_2 4) (* a (pow c 2))))) a))
(* -1 (* a c))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(* -1 (* c (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a)) c)) (pow b_2 2)) c)) (* -1 a))))
(* -1 (* c (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a)) c)) (pow b_2 2)) c)) (* -1 a))))
(* (sqrt (* a c)) (sqrt -1))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(* -1/2 (/ (* a c) b_2))
(/ (+ (* -1/2 (* a c)) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 2))) (* -1/4 (/ (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 2))) (+ (* -1/2 (/ (+ (* 1/4 (* (pow a 2) (* (pow c 2) (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))))))) (* 1/4 (pow (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) 2))) (pow b_2 6))) (* -1/4 (/ (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (pow b_2 4)))))) b_2)
(* -2 b_2)
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4)))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* -1/4 (/ (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (pow b_2 6))))))))
(* -1/2 (/ (* a c) b_2))
(* a (+ (* -1/2 (/ c b_2)) (* -1/2 (/ (* a (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) b_2))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/2 (/ (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) b_2)) (* -1/4 (/ (* a (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))))) (pow b_2 3)))))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/2 (/ (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) b_2)) (* a (+ (* -1/2 (/ (* a (+ (* 1/4 (/ (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) (pow b_2 4))) (* 1/4 (/ (pow (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) 2) (pow b_2 2))))) b_2)) (* -1/4 (/ (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) (pow b_2 3)))))))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c))))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1/2 (/ (* a c) b_2))
(* c (+ (* -1/2 (/ a b_2)) (* -1/2 (/ (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) b_2))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/2 (/ (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) b_2)) (* -1/4 (/ (* a (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))))) (pow b_2 3)))))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/2 (/ (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) b_2)) (* c (+ (* -1/2 (/ (* c (+ (* 1/4 (/ (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) (pow b_2 4))) (* 1/4 (/ (pow (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) 2) (pow b_2 2))))) b_2)) (* -1/4 (/ (* a (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) (pow b_2 3)))))))))
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a)) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a))))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(* -1/2 (/ c b_2))
(/ (+ (* -1/2 c) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (* a (pow b_2 2))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (* a (pow b_2 2)))) (* -1/4 (/ (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))))) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (* a (pow b_2 2)))) (+ (* -1/2 (/ (+ (* 1/4 (* (pow a 2) (* (pow c 2) (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))))))) (* 1/4 (pow (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) 2))) (* a (pow b_2 6)))) (* -1/4 (/ (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))))) (pow b_2 4)))))) b_2)
(* -2 (/ b_2 a))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (* a (pow b_2 4)))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (* a (pow b_2 4)))) (+ (* -1/4 (/ (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))))) (pow b_2 6))) (* 2 (/ 1 a)))))))
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/2 (/ (* a (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) b_2)))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/2 (/ (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) b_2)) (* -1/4 (/ (* a (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))))) (pow b_2 3))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/2 (/ (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) b_2)) (* a (+ (* -1/2 (/ (* a (+ (* 1/4 (/ (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) (pow b_2 4))) (* 1/4 (/ (pow (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) 2) (pow b_2 2))))) b_2)) (* -1/4 (/ (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) (pow b_2 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)))))) a))) a)))
(* -1/2 (/ c b_2))
(* c (- (* -1/2 (/ (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) (* a b_2))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/2 (/ (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) (* a b_2))) (* -1/4 (/ (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) (pow b_2 3))))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/2 (/ (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) (* a b_2))) (* c (+ (* -1/2 (/ (* c (+ (* 1/4 (/ (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) (pow b_2 4))) (* 1/4 (/ (pow (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) 2) (pow b_2 2))))) (* a b_2))) (* -1/4 (/ (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) (pow b_2 3))))))) (* 1/2 (/ 1 b_2))))
(* (sqrt (/ c a)) (sqrt -1))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a)) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a))))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* (sqrt (* a c)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
b_2
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4))))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* -1/4 (/ (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (pow b_2 6)))))))
(* -1 b_2)
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4)))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* -1/4 (/ (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (pow b_2 6))))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/2 (/ (* a (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) b_2)))))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/2 (/ (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) b_2)) (* -1/4 (/ (* a (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))))) (pow b_2 3))))))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)))))) (pow a 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/2 (/ (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) b_2)))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/2 (/ (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) b_2)) (* -1/4 (/ (* a (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))))) (pow b_2 3))))))))
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a)) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a)) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a))))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a)))))) (pow c 3))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* (pow a 2) (pow c 2))
(+ (* 2 (* a (* (pow b_2 2) c))) (* (pow a 2) (pow c 2)))
(+ (* (pow a 2) (pow c 2)) (* (pow b_2 2) (+ (* 2 (* a c)) (pow b_2 2))))
(+ (* (pow a 2) (pow c 2)) (* (pow b_2 2) (+ (* 2 (* a c)) (pow b_2 2))))
(pow b_2 4)
(* (pow b_2 4) (+ 1 (* 2 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 4) (+ 1 (+ (* 2 (/ (* a c) (pow b_2 2))) (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))
(* (pow b_2 4) (+ 1 (+ (* 2 (/ (* a c) (pow b_2 2))) (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))
(pow b_2 4)
(* (pow b_2 4) (+ 1 (* 2 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 4) (+ 1 (+ (* 2 (/ (* a c) (pow b_2 2))) (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))
(* (pow b_2 4) (+ 1 (+ (* 2 (/ (* a c) (pow b_2 2))) (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))
(pow b_2 4)
(+ (* 2 (* a (* (pow b_2 2) c))) (pow b_2 4))
(+ (* a (+ (* 2 (* (pow b_2 2) c)) (* a (pow c 2)))) (pow b_2 4))
(+ (* a (+ (* 2 (* (pow b_2 2) c)) (* a (pow c 2)))) (pow b_2 4))
(* (pow a 2) (pow c 2))
(* (pow a 2) (+ (* 2 (/ (* (pow b_2 2) c) a)) (pow c 2)))
(* (pow a 2) (+ (* 2 (/ (* (pow b_2 2) c) a)) (+ (/ (pow b_2 4) (pow a 2)) (pow c 2))))
(* (pow a 2) (+ (* 2 (/ (* (pow b_2 2) c) a)) (+ (/ (pow b_2 4) (pow a 2)) (pow c 2))))
(* (pow a 2) (pow c 2))
(* (pow a 2) (+ (* 2 (/ (* (pow b_2 2) c) a)) (pow c 2)))
(* (pow a 2) (+ (* -1 (/ (+ (* -2 (* (pow b_2 2) c)) (* -1 (/ (pow b_2 4) a))) a)) (pow c 2)))
(* (pow a 2) (+ (* -1 (/ (+ (* -2 (* (pow b_2 2) c)) (* -1 (/ (pow b_2 4) a))) a)) (pow c 2)))
(pow b_2 4)
(+ (* 2 (* a (* (pow b_2 2) c))) (pow b_2 4))
(+ (* c (+ (* 2 (* a (pow b_2 2))) (* (pow a 2) c))) (pow b_2 4))
(+ (* c (+ (* 2 (* a (pow b_2 2))) (* (pow a 2) c))) (pow b_2 4))
(* (pow a 2) (pow c 2))
(* (pow c 2) (+ (* 2 (/ (* a (pow b_2 2)) c)) (pow a 2)))
(* (pow c 2) (+ (* 2 (/ (* a (pow b_2 2)) c)) (+ (/ (pow b_2 4) (pow c 2)) (pow a 2))))
(* (pow c 2) (+ (* 2 (/ (* a (pow b_2 2)) c)) (+ (/ (pow b_2 4) (pow c 2)) (pow a 2))))
(* (pow a 2) (pow c 2))
(* (pow c 2) (+ (* 2 (/ (* a (pow b_2 2)) c)) (pow a 2)))
(* (pow c 2) (+ (* -1 (/ (+ (* -2 (* a (pow b_2 2))) (* -1 (/ (pow b_2 4) c))) c)) (pow a 2)))
(* (pow c 2) (+ (* -1 (/ (+ (* -2 (* a (pow b_2 2))) (* -1 (/ (pow b_2 4) c))) c)) (pow a 2)))
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 3)
(pow b_2 3)
(pow b_2 3)
(pow b_2 3)
(pow b_2 3)
(pow b_2 3)
(pow b_2 3)
(pow b_2 3)
(pow b_2 3)
(pow b_2 3)
(pow b_2 3)
(pow b_2 3)
(/ (* (pow a 2) (pow c 2)) (pow b_2 2))
(* (pow c 2) (+ (* -1 (/ (* (pow a 3) c) (pow b_2 4))) (/ (pow a 2) (pow b_2 2))))
(* (pow c 2) (+ (* c (- (/ (* (pow a 4) c) (pow b_2 6)) (/ (pow a 3) (pow b_2 4)))) (/ (pow a 2) (pow b_2 2))))
(* (pow c 2) (+ (* c (- (* c (- (* -1 (/ (* (pow a 5) c) (pow b_2 8))) (* -1 (/ (pow a 4) (pow b_2 6))))) (/ (pow a 3) (pow b_2 4)))) (/ (pow a 2) (pow b_2 2))))
(* a c)
(* c (+ a (* -1 (/ (pow b_2 2) c))))
(* c (- (+ a (/ (pow b_2 4) (* a (pow c 2)))) (/ (pow b_2 2) c)))
(* c (- (+ a (* -1 (/ (pow b_2 6) (* (pow a 2) (pow c 3))))) (+ (* -1 (/ (pow b_2 4) (* a (pow c 2)))) (/ (pow b_2 2) c))))
(* a c)
(* -1 (* c (+ (* -1 a) (/ (pow b_2 2) c))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (- (/ (pow b_2 4) (* a c)) (pow b_2 2)) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 6) (* (pow a 2) c)) (/ (pow b_2 4) a)) c)) (pow b_2 2)) c)))))
(/ (* (pow a 2) (pow c 2)) (pow b_2 2))
(* (pow a 2) (+ (* -1 (/ (* a (pow c 3)) (pow b_2 4))) (/ (pow c 2) (pow b_2 2))))
(* (pow a 2) (+ (* a (- (/ (* a (pow c 4)) (pow b_2 6)) (/ (pow c 3) (pow b_2 4)))) (/ (pow c 2) (pow b_2 2))))
(* (pow a 2) (+ (* a (- (* a (- (* -1 (/ (* a (pow c 5)) (pow b_2 8))) (* -1 (/ (pow c 4) (pow b_2 6))))) (/ (pow c 3) (pow b_2 4)))) (/ (pow c 2) (pow b_2 2))))
(* a c)
(* a (+ c (* -1 (/ (pow b_2 2) a))))
(* a (- (+ c (/ (pow b_2 4) (* (pow a 2) c))) (/ (pow b_2 2) a)))
(* a (- (+ c (* -1 (/ (pow b_2 6) (* (pow a 3) (pow c 2))))) (+ (* -1 (/ (pow b_2 4) (* (pow a 2) c))) (/ (pow b_2 2) a))))
(* a c)
(* -1 (* a (+ (* -1 c) (/ (pow b_2 2) a))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (- (/ (pow b_2 4) (* a c)) (pow b_2 2)) a)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 6) (* a (pow c 2))) (/ (pow b_2 4) c)) a)) (pow b_2 2)) a)))))
(* a c)
(+ (* -1 (pow b_2 2)) (* a c))
(+ (* a c) (* (pow b_2 2) (- (/ (pow b_2 2) (* a c)) 1)))
(+ (* a c) (* (pow b_2 2) (- (* (pow b_2 2) (+ (* -1 (/ (pow b_2 2) (* (pow a 2) (pow c 2)))) (/ 1 (* a c)))) 1)))
(/ (* (pow a 2) (pow c 2)) (pow b_2 2))
(/ (+ (* -1 (/ (* (pow a 3) (pow c 3)) (pow b_2 2))) (* (pow a 2) (pow c 2))) (pow b_2 2))
(/ (- (+ (* (pow a 2) (pow c 2)) (/ (* (pow a 4) (pow c 4)) (pow b_2 4))) (/ (* (pow a 3) (pow c 3)) (pow b_2 2))) (pow b_2 2))
(/ (- (+ (* -1 (/ (* (pow a 5) (pow c 5)) (pow b_2 6))) (* (pow a 2) (pow c 2))) (+ (* -1 (/ (* (pow a 4) (pow c 4)) (pow b_2 4))) (/ (* (pow a 3) (pow c 3)) (pow b_2 2)))) (pow b_2 2))
(/ (* (pow a 2) (pow c 2)) (pow b_2 2))
(/ (+ (* -1 (/ (* (pow a 3) (pow c 3)) (pow b_2 2))) (* (pow a 2) (pow c 2))) (pow b_2 2))
(/ (- (+ (* (pow a 2) (pow c 2)) (/ (* (pow a 4) (pow c 4)) (pow b_2 4))) (/ (* (pow a 3) (pow c 3)) (pow b_2 2))) (pow b_2 2))
(/ (- (+ (* -1 (/ (* (pow a 5) (pow c 5)) (pow b_2 6))) (* (pow a 2) (pow c 2))) (+ (* -1 (/ (* (pow a 4) (pow c 4)) (pow b_2 4))) (/ (* (pow a 3) (pow c 3)) (pow b_2 2)))) (pow b_2 2))
(/ b_2 (* a c))
(* b_2 (+ (* -1 (/ (pow b_2 2) (* (pow a 2) (pow c 2)))) (/ 1 (* a c))))
(* b_2 (+ (* (pow b_2 2) (- (/ (pow b_2 2) (* (pow a 3) (pow c 3))) (/ 1 (* (pow a 2) (pow c 2))))) (/ 1 (* a c))))
(* b_2 (+ (* (pow b_2 2) (- (* (pow b_2 2) (+ (* -1 (/ (pow b_2 2) (* (pow a 4) (pow c 4)))) (/ 1 (* (pow a 3) (pow c 3))))) (/ 1 (* (pow a 2) (pow c 2))))) (/ 1 (* a c))))
(/ 1 b_2)
(/ (+ 1 (* -1 (/ (* a c) (pow b_2 2)))) b_2)
(/ (- (+ 1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (/ (* a c) (pow b_2 2))) b_2)
(/ (- (+ 1 (* -1 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (/ (* a c) (pow b_2 2)))) b_2)
(/ 1 b_2)
(* -1 (/ (- (/ (* a c) (pow b_2 2)) 1) b_2))
(* -1 (/ (- (* -1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ 1 (* -1 (/ (* a c) (pow b_2 2))))) b_2))
(* -1 (/ (- (/ (* (pow a 3) (pow c 3)) (pow b_2 6)) (+ 1 (+ (* -1 (/ (* a c) (pow b_2 2))) (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))) b_2))
(/ 1 b_2)
(+ (* -1 (/ (* a c) (pow b_2 3))) (/ 1 b_2))
(+ (* a (- (/ (* a (pow c 2)) (pow b_2 5)) (/ c (pow b_2 3)))) (/ 1 b_2))
(+ (* a (- (* a (- (* -1 (/ (* a (pow c 3)) (pow b_2 7))) (* -1 (/ (pow c 2) (pow b_2 5))))) (/ c (pow b_2 3)))) (/ 1 b_2))
(/ b_2 (* a c))
(/ (+ (* -1 (/ (pow b_2 3) (* a (pow c 2)))) (/ b_2 c)) a)
(/ (- (+ (/ b_2 c) (/ (pow b_2 5) (* (pow a 2) (pow c 3)))) (/ (pow b_2 3) (* a (pow c 2)))) a)
(/ (- (+ (* -1 (/ (pow b_2 7) (* (pow a 3) (pow c 4)))) (/ b_2 c)) (+ (* -1 (/ (pow b_2 5) (* (pow a 2) (pow c 3)))) (/ (pow b_2 3) (* a (pow c 2))))) a)
(/ b_2 (* a c))
(* -1 (/ (+ (* -1 (/ b_2 c)) (/ (pow b_2 3) (* a (pow c 2)))) a))
(* -1 (/ (+ (* -1 (/ b_2 c)) (* -1 (/ (- (/ (pow b_2 5) (* a (pow c 3))) (/ (pow b_2 3) (pow c 2))) a))) a))
(* -1 (/ (+ (* -1 (/ b_2 c)) (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 7) (* a (pow c 4))) (/ (pow b_2 5) (pow c 3))) a)) (/ (pow b_2 3) (pow c 2))) a))) a))
(/ 1 b_2)
(+ (* -1 (/ (* a c) (pow b_2 3))) (/ 1 b_2))
(+ (* c (- (/ (* (pow a 2) c) (pow b_2 5)) (/ a (pow b_2 3)))) (/ 1 b_2))
(+ (* c (- (* c (- (* -1 (/ (* (pow a 3) c) (pow b_2 7))) (* -1 (/ (pow a 2) (pow b_2 5))))) (/ a (pow b_2 3)))) (/ 1 b_2))
(/ b_2 (* a c))
(/ (+ (* -1 (/ (pow b_2 3) (* (pow a 2) c))) (/ b_2 a)) c)
(/ (- (+ (/ b_2 a) (/ (pow b_2 5) (* (pow a 3) (pow c 2)))) (/ (pow b_2 3) (* (pow a 2) c))) c)
(/ (- (+ (* -1 (/ (pow b_2 7) (* (pow a 4) (pow c 3)))) (/ b_2 a)) (+ (* -1 (/ (pow b_2 5) (* (pow a 3) (pow c 2)))) (/ (pow b_2 3) (* (pow a 2) c)))) c)
(/ b_2 (* a c))
(* -1 (/ (+ (* -1 (/ b_2 a)) (/ (pow b_2 3) (* (pow a 2) c))) c))
(* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (- (/ (pow b_2 5) (* (pow a 3) c)) (/ (pow b_2 3) (pow a 2))) c))) c))
(* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 7) (* (pow a 4) c)) (/ (pow b_2 5) (pow a 3))) c)) (/ (pow b_2 3) (pow a 2))) c))) c))
Outputs
(sqrt (* a c))
(sqrt.f64 (*.f64 a c))
(+ (sqrt (* a c)) (* -1 b_2))
(-.f64 (sqrt.f64 (*.f64 a c)) b_2)
(+ (sqrt (* a c)) (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) b_2)) 1)))
(fma.f64 b_2 (fma.f64 #s(literal 1/2 binary64) (*.f64 b_2 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c)))
(+ (sqrt (* a c)) (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2))) (* 1/2 (sqrt (/ 1 (* a c)))))) 1)))
(fma.f64 b_2 (fma.f64 b_2 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (*.f64 b_2 b_2)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))))) #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c)))
(* 1/2 (/ (* a c) b_2))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a c) b_2))
(/ (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* 1/2 (* a c))) b_2)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 b_2 b_2)) (*.f64 (*.f64 a c) #s(literal 1/2 binary64))) b_2)
(/ (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (* 1/2 (* a c)))) b_2)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 b_2 b_2)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) (*.f64 (*.f64 a c) #s(literal 1/2 binary64)))) b_2)
(/ (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (* 1/2 (* a c))))) b_2)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 5/64 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 b_2 b_2)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) (*.f64 (*.f64 a c) #s(literal 1/2 binary64))))) b_2)
(* -2 b_2)
(*.f64 b_2 #s(literal -2 binary64))
(* -1 (* b_2 (+ 2 (* 1/2 (/ (* a c) (pow b_2 2))))))
(-.f64 #s(literal 0 binary64) (*.f64 b_2 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a c) (*.f64 b_2 b_2)) #s(literal 2 binary64))))
(* -1 (* b_2 (+ 2 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2)))))))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a c) (*.f64 b_2 b_2)) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (* b_2 (+ 2 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (* 1/2 (/ (* a c) (pow b_2 2))))))))
(*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b_2 #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 a c) #s(literal 1/2 binary64)) (*.f64 b_2 b_2))))) (-.f64 #s(literal 0 binary64) b_2))
(* 1/2 (/ (* a c) b_2))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a c) b_2))
(* a (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))
(*.f64 a (fma.f64 c (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b_2 (*.f64 b_2 b_2)))))
(* a (+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* 1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(*.f64 a (fma.f64 a (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
(* a (+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* 1/16 (/ (pow c 3) (pow b_2 5)))))))))
(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 5/64 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) b_2) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b_2 #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
(sqrt (* a c))
(sqrt.f64 (*.f64 a c))
(* a (+ (sqrt (/ c a)) (* -1 (/ b_2 a))))
(*.f64 a (-.f64 (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a)))
(* a (- (+ (sqrt (/ c a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))) (/ b_2 a)))
(*.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (sqrt.f64 (/.f64 c a))) (/.f64 b_2 a)))
(* a (- (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))))) (/ b_2 a)))
(*.f64 a (-.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (sqrt.f64 (/.f64 c a)))) (/.f64 b_2 a)))
(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (*.f64 a c)) #s(literal 1 binary64))
(* -1 (* a (+ (* (sqrt (/ c a)) (pow (sqrt -1) 2)) (/ b_2 a))))
(*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a)) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2))) b_2) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))
(*.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 c a))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 b_2 b_2)) (-.f64 #s(literal 0 binary64) b_2)) a)) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ a c)) (pow b_2 2)))) a)) b_2) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))
(-.f64 #s(literal 0 binary64) (*.f64 a (-.f64 (neg.f64 (sqrt.f64 (/.f64 c a))) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 a c))))) (-.f64 #s(literal 0 binary64) a)) b_2) a))))
(* 1/2 (/ (* a c) b_2))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a c) b_2))
(* c (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* 1/2 (/ a b_2))))
(*.f64 c (fma.f64 #s(literal 1/2 binary64) (/.f64 a b_2) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 a a))) (*.f64 b_2 (*.f64 b_2 b_2)))))
(* c (+ (* 1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* 1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))
(*.f64 c (fma.f64 c (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 a b_2))))
(* c (+ (* 1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* 1/16 (/ (pow a 3) (pow b_2 5)))))))))
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 c (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 5/64 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) b_2) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/16 binary64)) (pow.f64 b_2 #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 a b_2))))
(sqrt (* a c))
(sqrt.f64 (*.f64 a c))
(* c (+ (sqrt (/ a c)) (* -1 (/ b_2 c))))
(*.f64 c (-.f64 (sqrt.f64 (/.f64 a c)) (/.f64 b_2 c)))
(* c (- (+ (sqrt (/ a c)) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2)))) (/ b_2 c)))
(*.f64 c (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (-.f64 (sqrt.f64 (/.f64 a c)) (/.f64 b_2 c))))
(* c (- (+ (sqrt (/ a c)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))))) (/ b_2 c)))
(*.f64 c (-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 (/.f64 a c)))) (/.f64 b_2 c)))
(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (*.f64 a c)) #s(literal 1 binary64))
(* -1 (* c (+ (* (sqrt (/ a c)) (pow (sqrt -1) 2)) (/ b_2 c))))
(*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 a c)) (/.f64 b_2 c)) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2))) b_2) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))
(-.f64 #s(literal 0 binary64) (*.f64 c (-.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 b_2 b_2)) (-.f64 #s(literal 0 binary64) b_2)) c))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ c a)) (pow b_2 2)))) c)) b_2) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))
(*.f64 (-.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (/.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 c a))))) (-.f64 #s(literal 0 binary64) c)) b_2) c)) (-.f64 #s(literal 0 binary64) c))
(sqrt (/ c a))
(sqrt.f64 (/.f64 c a))
(+ (sqrt (/ c a)) (* -1 (/ b_2 a)))
(-.f64 (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a))
(+ (sqrt (/ c a)) (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) b_2)) (/ 1 a))))
(fma.f64 b_2 (fma.f64 #s(literal 1/2 binary64) (*.f64 b_2 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (/.f64 #s(literal -1 binary64) a)) (sqrt.f64 (/.f64 c a)))
(+ (sqrt (/ c a)) (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 2))) (* 1/2 (sqrt (/ 1 (* (pow a 3) c)))))) (/ 1 a))))
(fma.f64 b_2 (fma.f64 b_2 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64)))))) (*.f64 b_2 b_2) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))))) (/.f64 #s(literal -1 binary64) a)) (sqrt.f64 (/.f64 c a)))
(* 1/2 (/ c b_2))
(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
(/ (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b_2 b_2)) (*.f64 c #s(literal 1/2 binary64))) b_2)
(/ (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (* 1/2 c))) b_2)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b_2 b_2)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) (*.f64 c #s(literal 1/2 binary64)))) b_2)
(/ (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (* 1/2 c)))) b_2)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 5/64 binary64)) (*.f64 a (pow.f64 b_2 #s(literal 6 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b_2 b_2)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) (*.f64 c #s(literal 1/2 binary64))))) b_2)
(* -2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(* -1 (* b_2 (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(-.f64 #s(literal 0 binary64) (*.f64 b_2 (fma.f64 #s(literal 1/2 binary64) (/.f64 c (*.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))))
(-.f64 #s(literal 0 binary64) (*.f64 b_2 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c (*.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a)))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))))
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(* 1/2 (/ c b_2))
(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
(+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2)))
(fma.f64 c (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b_2 (*.f64 b_2 b_2))))
(+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
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(+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* 1/16 (/ (pow c 3) (pow b_2 5))))))))
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(sqrt (/ c a))
(sqrt.f64 (/.f64 c a))
(+ (sqrt (/ c a)) (* -1 (/ b_2 a)))
(-.f64 (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a))
(+ (sqrt (/ c a)) (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))))
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(+ (sqrt (/ c a)) (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))))))
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(* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 c a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ b_2 a)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 (-.f64 #s(literal 0 binary64) a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2)))) a)))
(-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 c a))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 b_2 b_2)) b_2) a))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (pow b_2 2))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2))))) a))) a)))
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(* 1/2 (/ c b_2))
(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
(* c (+ (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(*.f64 c (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 a c) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 #s(literal 1/2 binary64) b_2)))
(* c (+ (* c (+ (* -1/8 (/ a (pow b_2 3))) (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
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(* c (+ (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* 1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
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(sqrt (/ c a))
(sqrt.f64 (/.f64 c a))
(* c (+ (sqrt (/ 1 (* a c))) (* -1 (/ b_2 (* a c)))))
(*.f64 c (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 b_2 (*.f64 a c))))
(* c (+ (sqrt (/ 1 (* a c))) (+ (* -1 (/ b_2 (* a c))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2))))))
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(* c (+ (sqrt (/ 1 (* a c))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2)))))))
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(* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 c a)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)) (/ b_2 (* a c)))))
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(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))
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(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (pow b_2 2)))) c))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))
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(sqrt (* a c))
(sqrt.f64 (*.f64 a c))
(+ (sqrt (* a c)) (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 b_2 b_2)) (sqrt.f64 (*.f64 a c)))
(+ (sqrt (* a c)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2))) (* 1/2 (sqrt (/ 1 (* a c)))))))
(fma.f64 (*.f64 b_2 b_2) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (*.f64 b_2 b_2)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))))) (sqrt.f64 (*.f64 a c)))
(+ (sqrt (* a c)) (* (pow b_2 2) (+ (* 1/2 (sqrt (/ 1 (* a c)))) (* (pow b_2 2) (+ (* -1/8 (sqrt (/ 1 (* (pow a 3) (pow c 3))))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (pow b_2 2))))))))
(fma.f64 (*.f64 b_2 b_2) (fma.f64 (*.f64 b_2 b_2) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))))) (sqrt.f64 (*.f64 a c)))
b_2
(* b_2 (+ 1 (* 1/2 (/ (* a c) (pow b_2 2)))))
(*.f64 b_2 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a c) (*.f64 b_2 b_2)) #s(literal 1 binary64)))
(* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2))))))
(*.f64 b_2 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a c) (*.f64 b_2 b_2)) #s(literal 1 binary64))))
(* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (* 1/2 (/ (* a c) (pow b_2 2)))))))
(*.f64 b_2 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b_2 #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 a c) #s(literal 1/2 binary64)) (*.f64 b_2 b_2))))))
(* -1 b_2)
(-.f64 #s(literal 0 binary64) b_2)
(* -1 (* b_2 (+ 1 (* 1/2 (/ (* a c) (pow b_2 2))))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a c) (*.f64 b_2 b_2)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2)))))))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a c) (*.f64 b_2 b_2)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (* 1/2 (/ (* a c) (pow b_2 2))))))))
(*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b_2 #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 a c) #s(literal 1/2 binary64)) (*.f64 b_2 b_2))))) (-.f64 #s(literal 0 binary64) b_2))
b_2
(+ b_2 (* 1/2 (/ (* a c) b_2)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a c) b_2) b_2)
(+ b_2 (* a (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2)))))
(fma.f64 a (fma.f64 c (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b_2 (*.f64 b_2 b_2)))) b_2)
(+ b_2 (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))) b_2)
(sqrt (* a c))
(sqrt.f64 (*.f64 a c))
(* a (+ (sqrt (/ c a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))))
(*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (sqrt.f64 (/.f64 c a))))
(* a (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))))))
(*.f64 a (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (sqrt.f64 (/.f64 c a)))))
(* a (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (pow b_2 6))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))))))
(*.f64 a (+.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (sqrt.f64 (/.f64 c a)))) (*.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64)))))) (pow.f64 b_2 #s(literal 6 binary64)))))
(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (*.f64 a c)) #s(literal 1 binary64))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (neg.f64 (sqrt.f64 (/.f64 c a)))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))) (* (sqrt (/ c a)) (pow (sqrt -1) 2))))))
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(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(*.f64 c (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 (*.f64 a c))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
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(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a)) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
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(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(*.f64 (-.f64 #s(literal 0 binary64) c) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 b_2 (*.f64 a c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(-.f64 #s(literal 0 binary64) (*.f64 c (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 b_2 (-.f64 #s(literal 0 binary64) a))) c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a))))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
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(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(fma.f64 (*.f64 b_2 b_2) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))))) (/.f64 (*.f64 b_2 b_2) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
(fma.f64 (*.f64 b_2 b_2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 b_2 b_2) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))) (/.f64 (*.f64 b_2 b_2) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))))))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
b_2
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(*.f64 b_2 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) (*.f64 b_2 b_2)) #s(literal 1 binary64)))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4))))))
(*.f64 b_2 (fma.f64 #s(literal -1/2 binary64) (fma.f64 a (/.f64 c (*.f64 b_2 b_2)) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a a)) (*.f64 c c) #s(literal 0 binary64)) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)))) #s(literal 1 binary64)))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* -1/4 (/ (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (pow b_2 6)))))))
(*.f64 b_2 (fma.f64 #s(literal -1/2 binary64) (fma.f64 a (/.f64 c (*.f64 b_2 b_2)) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a a)) (*.f64 c c) #s(literal 0 binary64)) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 a c) (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a a)) (*.f64 c c) #s(literal 0 binary64))) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 1 binary64))))
(* -1 b_2)
(-.f64 #s(literal 0 binary64) b_2)
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) (*.f64 b_2 b_2)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4)))))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 a (/.f64 c (*.f64 b_2 b_2)) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a a)) (*.f64 c c) #s(literal 0 binary64)) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* -1/4 (/ (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (pow b_2 6))))))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 a (/.f64 c (*.f64 b_2 b_2)) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a a)) (*.f64 c c) #s(literal 0 binary64)) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 a c) (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a a)) (*.f64 c c) #s(literal 0 binary64))) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) b_2))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(fma.f64 (/.f64 (*.f64 a c) b_2) #s(literal -1/2 binary64) b_2)
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/2 (/ (* a (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) b_2)))))
(fma.f64 a (*.f64 #s(literal -1/2 binary64) (fma.f64 a (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 c c)) (*.f64 b_2 b_2)) b_2) (/.f64 c b_2))) b_2)
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/2 (/ (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) b_2)) (* -1/4 (/ (* a (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))))) (pow b_2 3))))))))
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(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
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(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 a (fma.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64))))) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))))) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(*.f64 (-.f64 #s(literal 0 binary64) a) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* a (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 (-.f64 #s(literal 0 binary64) a) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* a (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)))))) (pow a 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) (*.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 a (*.f64 a a)))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(fma.f64 (/.f64 (*.f64 a c) b_2) #s(literal -1/2 binary64) b_2)
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/2 (/ (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) b_2)))))
(fma.f64 c (*.f64 #s(literal -1/2 binary64) (fma.f64 c (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a a)) (*.f64 b_2 b_2)) b_2) (/.f64 a b_2))) b_2)
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/2 (/ (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) b_2)) (* -1/4 (/ (* a (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))))) (pow b_2 3))))))))
(fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a a)) (*.f64 b_2 b_2)) b_2) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 a c) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a a)) (*.f64 b_2 b_2)))) (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 #s(literal -1/2 binary64) (/.f64 a b_2))) b_2)
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
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(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a)) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
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(*.f64 (*.f64 a c) (*.f64 a c))
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(* (pow a 2) (pow c 2))
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(* (pow a 2) (+ (* 2 (/ (* (pow b_2 2) c) a)) (pow c 2)))
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(* (pow a 2) (pow c 2))
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(* (pow a 2) (+ (* 2 (/ (* (pow b_2 2) c) a)) (pow c 2)))
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(* (pow a 2) (+ (* -1 (/ (+ (* -2 (* (pow b_2 2) c)) (* -1 (/ (pow b_2 4) a))) a)) (pow c 2)))
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(pow b_2 4)
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(+ (* 2 (* a (* (pow b_2 2) c))) (pow b_2 4))
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(+ (* c (+ (* 2 (* a (pow b_2 2))) (* (pow a 2) c))) (pow b_2 4))
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(* (pow a 2) (pow c 2))
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(* (pow c 2) (+ (* 2 (/ (* a (pow b_2 2)) c)) (pow a 2)))
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(* (pow a 2) (pow c 2))
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(* (pow c 2) (+ (* -1 (/ (+ (* -2 (* a (pow b_2 2))) (* -1 (/ (pow b_2 4) c))) c)) (pow a 2)))
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(/ (* (pow a 2) (pow c 2)) (pow b_2 2))
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(* (pow c 2) (+ (* c (- (* c (- (* -1 (/ (* (pow a 5) c) (pow b_2 8))) (* -1 (/ (pow a 4) (pow b_2 6))))) (/ (pow a 3) (pow b_2 4)))) (/ (pow a 2) (pow b_2 2))))
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(* a c)
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(/ (* (pow a 2) (pow c 2)) (pow b_2 2))
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(* a c)
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(*.f64 a (-.f64 c (/.f64 (*.f64 b_2 b_2) a)))
(* a (- (+ c (/ (pow b_2 4) (* (pow a 2) c))) (/ (pow b_2 2) a)))
(*.f64 a (+.f64 (/.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (*.f64 c (*.f64 a a))) (-.f64 c (/.f64 (*.f64 b_2 b_2) a))))
(* a (- (+ c (* -1 (/ (pow b_2 6) (* (pow a 3) (pow c 2))))) (+ (* -1 (/ (pow b_2 4) (* (pow a 2) c))) (/ (pow b_2 2) a))))
(*.f64 a (-.f64 (-.f64 c (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c c)))) (-.f64 (/.f64 (*.f64 b_2 b_2) a) (/.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (*.f64 c (*.f64 a a))))))
(* a c)
(*.f64 a c)
(* -1 (* a (+ (* -1 c) (/ (pow b_2 2) a))))
(*.f64 a (-.f64 c (/.f64 (*.f64 b_2 b_2) a)))
(* -1 (* a (+ (* -1 c) (* -1 (/ (- (/ (pow b_2 4) (* a c)) (pow b_2 2)) a)))))
(*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (*.f64 a c)) (*.f64 b_2 b_2)) a)))
(* -1 (* a (+ (* -1 c) (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 6) (* a (pow c 2))) (/ (pow b_2 4) c)) a)) (pow b_2 2)) a)))))
(*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (*.f64 a (*.f64 c c))) (/.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) c)) (-.f64 #s(literal 0 binary64) a)) (*.f64 b_2 b_2)) a)))
(* a c)
(*.f64 a c)
(+ (* -1 (pow b_2 2)) (* a c))
(fma.f64 a c (-.f64 #s(literal 0 binary64) (*.f64 b_2 b_2)))
(+ (* a c) (* (pow b_2 2) (- (/ (pow b_2 2) (* a c)) 1)))
(fma.f64 (*.f64 b_2 b_2) (+.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1 binary64)) (*.f64 a c))
(+ (* a c) (* (pow b_2 2) (- (* (pow b_2 2) (+ (* -1 (/ (pow b_2 2) (* (pow a 2) (pow c 2)))) (/ 1 (* a c)))) 1)))
(fma.f64 (*.f64 b_2 b_2) (fma.f64 (*.f64 b_2 b_2) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) (/.f64 (*.f64 b_2 b_2) (*.f64 (*.f64 a c) (*.f64 a c)))) #s(literal -1 binary64)) (*.f64 a c))
(/ (* (pow a 2) (pow c 2)) (pow b_2 2))
(/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 b_2 b_2))
(/ (+ (* -1 (/ (* (pow a 3) (pow c 3)) (pow b_2 2))) (* (pow a 2) (pow c 2))) (pow b_2 2))
(/.f64 (-.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 b_2 b_2))) (*.f64 b_2 b_2))
(/ (- (+ (* (pow a 2) (pow c 2)) (/ (* (pow a 4) (pow c 4)) (pow b_2 4))) (/ (* (pow a 3) (pow c 3)) (pow b_2 2))) (pow b_2 2))
(/.f64 (-.f64 (fma.f64 (pow.f64 a #s(literal 4 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) (*.f64 (*.f64 a c) (*.f64 a c))) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 b_2 b_2))) (*.f64 b_2 b_2))
(/ (- (+ (* -1 (/ (* (pow a 5) (pow c 5)) (pow b_2 6))) (* (pow a 2) (pow c 2))) (+ (* -1 (/ (* (pow a 4) (pow c 4)) (pow b_2 4))) (/ (* (pow a 3) (pow c 3)) (pow b_2 2)))) (pow b_2 2))
(/.f64 (-.f64 (-.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (/.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))) (pow.f64 b_2 #s(literal 6 binary64)))) (-.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 b_2 b_2)) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))))) (*.f64 b_2 b_2))
(/ (* (pow a 2) (pow c 2)) (pow b_2 2))
(/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 b_2 b_2))
(/ (+ (* -1 (/ (* (pow a 3) (pow c 3)) (pow b_2 2))) (* (pow a 2) (pow c 2))) (pow b_2 2))
(/.f64 (-.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 b_2 b_2))) (*.f64 b_2 b_2))
(/ (- (+ (* (pow a 2) (pow c 2)) (/ (* (pow a 4) (pow c 4)) (pow b_2 4))) (/ (* (pow a 3) (pow c 3)) (pow b_2 2))) (pow b_2 2))
(/.f64 (-.f64 (fma.f64 (pow.f64 a #s(literal 4 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) (*.f64 (*.f64 a c) (*.f64 a c))) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 b_2 b_2))) (*.f64 b_2 b_2))
(/ (- (+ (* -1 (/ (* (pow a 5) (pow c 5)) (pow b_2 6))) (* (pow a 2) (pow c 2))) (+ (* -1 (/ (* (pow a 4) (pow c 4)) (pow b_2 4))) (/ (* (pow a 3) (pow c 3)) (pow b_2 2)))) (pow b_2 2))
(/.f64 (-.f64 (-.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (/.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))) (pow.f64 b_2 #s(literal 6 binary64)))) (-.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 b_2 b_2)) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))))) (*.f64 b_2 b_2))
(/ b_2 (* a c))
(/.f64 b_2 (*.f64 a c))
(* b_2 (+ (* -1 (/ (pow b_2 2) (* (pow a 2) (pow c 2)))) (/ 1 (* a c))))
(*.f64 b_2 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) (/.f64 (*.f64 b_2 b_2) (*.f64 (*.f64 a c) (*.f64 a c)))))
(* b_2 (+ (* (pow b_2 2) (- (/ (pow b_2 2) (* (pow a 3) (pow c 3))) (/ 1 (* (pow a 2) (pow c 2))))) (/ 1 (* a c))))
(*.f64 b_2 (fma.f64 (*.f64 b_2 b_2) (+.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 a c) (*.f64 a c)))) (/.f64 #s(literal 1 binary64) (*.f64 a c))))
(* b_2 (+ (* (pow b_2 2) (- (* (pow b_2 2) (+ (* -1 (/ (pow b_2 2) (* (pow a 4) (pow c 4)))) (/ 1 (* (pow a 3) (pow c 3))))) (/ 1 (* (pow a 2) (pow c 2))))) (/ 1 (* a c))))
(*.f64 b_2 (fma.f64 (*.f64 b_2 b_2) (fma.f64 (*.f64 b_2 b_2) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))) (/.f64 (*.f64 b_2 b_2) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 a c) (*.f64 a c)))) (/.f64 #s(literal 1 binary64) (*.f64 a c))))
(/ 1 b_2)
(/.f64 #s(literal 1 binary64) b_2)
(/ (+ 1 (* -1 (/ (* a c) (pow b_2 2)))) b_2)
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 c (*.f64 b_2 b_2)) #s(literal 1 binary64)) b_2)
(/ (- (+ 1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (/ (* a c) (pow b_2 2))) b_2)
(/.f64 (-.f64 (fma.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) #s(literal 1 binary64)) (/.f64 (*.f64 a c) (*.f64 b_2 b_2))) b_2)
(/ (- (+ 1 (* -1 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (/ (* a c) (pow b_2 2)))) b_2)
(/.f64 (-.f64 (fma.f64 (neg.f64 (*.f64 a (*.f64 a a))) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 1 binary64)) (-.f64 (/.f64 (*.f64 a c) (*.f64 b_2 b_2)) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))))) b_2)
(/ 1 b_2)
(/.f64 #s(literal 1 binary64) b_2)
(* -1 (/ (- (/ (* a c) (pow b_2 2)) 1) b_2))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 a (/.f64 c (*.f64 b_2 b_2)) #s(literal -1 binary64)) b_2))
(* -1 (/ (- (* -1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ 1 (* -1 (/ (* a c) (pow b_2 2))))) b_2))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (fma.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) #s(literal 1 binary64)) (/.f64 (*.f64 a c) (*.f64 b_2 b_2)))) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (/ (- (/ (* (pow a 3) (pow c 3)) (pow b_2 6)) (+ 1 (+ (* -1 (/ (* a c) (pow b_2 2))) (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))) b_2))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b_2 #s(literal 6 binary64))) (-.f64 (fma.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) #s(literal 1 binary64)) (/.f64 (*.f64 a c) (*.f64 b_2 b_2)))) (-.f64 #s(literal 0 binary64) b_2))
(/ 1 b_2)
(/.f64 #s(literal 1 binary64) b_2)
(+ (* -1 (/ (* a c) (pow b_2 3))) (/ 1 b_2))
(fma.f64 a (-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b_2 (*.f64 b_2 b_2)))) (/.f64 #s(literal 1 binary64) b_2))
(+ (* a (- (/ (* a (pow c 2)) (pow b_2 5)) (/ c (pow b_2 3)))) (/ 1 b_2))
(fma.f64 a (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b_2 #s(literal 5 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b_2 (*.f64 b_2 b_2))))) (/.f64 #s(literal 1 binary64) b_2))
(+ (* a (- (* a (- (* -1 (/ (* a (pow c 3)) (pow b_2 7))) (* -1 (/ (pow c 2) (pow b_2 5))))) (/ c (pow b_2 3)))) (/ 1 b_2))
(fma.f64 a (fma.f64 a (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b_2 #s(literal 7 binary64))) (/.f64 (*.f64 c c) (pow.f64 b_2 #s(literal 5 binary64)))) (-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b_2 (*.f64 b_2 b_2))))) (/.f64 #s(literal 1 binary64) b_2))
(/ b_2 (* a c))
(/.f64 b_2 (*.f64 a c))
(/ (+ (* -1 (/ (pow b_2 3) (* a (pow c 2)))) (/ b_2 c)) a)
(/.f64 (-.f64 (/.f64 b_2 c) (/.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 c c)))) a)
(/ (- (+ (/ b_2 c) (/ (pow b_2 5) (* (pow a 2) (pow c 3)))) (/ (pow b_2 3) (* a (pow c 2)))) a)
(/.f64 (+.f64 (/.f64 (pow.f64 b_2 #s(literal 5 binary64)) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a))) (-.f64 (/.f64 b_2 c) (/.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 c c))))) a)
(/ (- (+ (* -1 (/ (pow b_2 7) (* (pow a 3) (pow c 4)))) (/ b_2 c)) (+ (* -1 (/ (pow b_2 5) (* (pow a 2) (pow c 3)))) (/ (pow b_2 3) (* a (pow c 2))))) a)
(/.f64 (-.f64 (-.f64 (/.f64 b_2 c) (/.f64 (pow.f64 b_2 #s(literal 7 binary64)) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 4 binary64))))) (-.f64 (/.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 c c))) (/.f64 (pow.f64 b_2 #s(literal 5 binary64)) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a))))) a)
(/ b_2 (* a c))
(/.f64 b_2 (*.f64 a c))
(* -1 (/ (+ (* -1 (/ b_2 c)) (/ (pow b_2 3) (* a (pow c 2)))) a))
(/.f64 (-.f64 (/.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 c c))) (/.f64 b_2 c)) (-.f64 #s(literal 0 binary64) a))
(* -1 (/ (+ (* -1 (/ b_2 c)) (* -1 (/ (- (/ (pow b_2 5) (* a (pow c 3))) (/ (pow b_2 3) (pow c 2))) a))) a))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 b_2 c)) (/.f64 (-.f64 (/.f64 (pow.f64 b_2 #s(literal 5 binary64)) (*.f64 a (*.f64 c (*.f64 c c)))) (/.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 c c))) a)) (-.f64 #s(literal 0 binary64) a))
(* -1 (/ (+ (* -1 (/ b_2 c)) (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 7) (* a (pow c 4))) (/ (pow b_2 5) (pow c 3))) a)) (/ (pow b_2 3) (pow c 2))) a))) a))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 b_2 c)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 b_2 #s(literal 7 binary64)) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 5 binary64)) (*.f64 c (*.f64 c c)))) (-.f64 #s(literal 0 binary64) a)) (/.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 c c))) a)) (-.f64 #s(literal 0 binary64) a))
(/ 1 b_2)
(/.f64 #s(literal 1 binary64) b_2)
(+ (* -1 (/ (* a c) (pow b_2 3))) (/ 1 b_2))
(fma.f64 a (-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b_2 (*.f64 b_2 b_2)))) (/.f64 #s(literal 1 binary64) b_2))
(+ (* c (- (/ (* (pow a 2) c) (pow b_2 5)) (/ a (pow b_2 3)))) (/ 1 b_2))
(fma.f64 c (-.f64 (/.f64 (*.f64 c (*.f64 a a)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 a (*.f64 b_2 (*.f64 b_2 b_2)))) (/.f64 #s(literal 1 binary64) b_2))
(+ (* c (- (* c (- (* -1 (/ (* (pow a 3) c) (pow b_2 7))) (* -1 (/ (pow a 2) (pow b_2 5))))) (/ a (pow b_2 3)))) (/ 1 b_2))
(fma.f64 c (fma.f64 c (fma.f64 (neg.f64 (*.f64 a (*.f64 a a))) (/.f64 c (pow.f64 b_2 #s(literal 7 binary64))) (/.f64 (*.f64 a a) (pow.f64 b_2 #s(literal 5 binary64)))) (-.f64 #s(literal 0 binary64) (/.f64 a (*.f64 b_2 (*.f64 b_2 b_2))))) (/.f64 #s(literal 1 binary64) b_2))
(/ b_2 (* a c))
(/.f64 b_2 (*.f64 a c))
(/ (+ (* -1 (/ (pow b_2 3) (* (pow a 2) c))) (/ b_2 a)) c)
(/.f64 (-.f64 (/.f64 b_2 a) (/.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 c (*.f64 a a)))) c)
(/ (- (+ (/ b_2 a) (/ (pow b_2 5) (* (pow a 3) (pow c 2)))) (/ (pow b_2 3) (* (pow a 2) c))) c)
(/.f64 (+.f64 (/.f64 (pow.f64 b_2 #s(literal 5 binary64)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c c))) (-.f64 (/.f64 b_2 a) (/.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 c (*.f64 a a))))) c)
(/ (- (+ (* -1 (/ (pow b_2 7) (* (pow a 4) (pow c 3)))) (/ b_2 a)) (+ (* -1 (/ (pow b_2 5) (* (pow a 3) (pow c 2)))) (/ (pow b_2 3) (* (pow a 2) c)))) c)
(/.f64 (-.f64 (-.f64 (/.f64 b_2 a) (/.f64 (pow.f64 b_2 #s(literal 7 binary64)) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 4 binary64))))) (-.f64 (/.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b_2 #s(literal 5 binary64)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c c))))) c)
(/ b_2 (* a c))
(/.f64 b_2 (*.f64 a c))
(* -1 (/ (+ (* -1 (/ b_2 a)) (/ (pow b_2 3) (* (pow a 2) c))) c))
(/.f64 (-.f64 (/.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 c (*.f64 a a))) (/.f64 b_2 a)) (-.f64 #s(literal 0 binary64) c))
(* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (- (/ (pow b_2 5) (* (pow a 3) c)) (/ (pow b_2 3) (pow a 2))) c))) c))
(/.f64 (-.f64 (/.f64 b_2 (-.f64 #s(literal 0 binary64) a)) (/.f64 (-.f64 (/.f64 (pow.f64 b_2 #s(literal 5 binary64)) (*.f64 c (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a a))) c)) (-.f64 #s(literal 0 binary64) c))
(* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 7) (* (pow a 4) c)) (/ (pow b_2 5) (pow a 3))) c)) (/ (pow b_2 3) (pow a 2))) c))) c))
(/.f64 (-.f64 (/.f64 b_2 (-.f64 #s(literal 0 binary64) a)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 b_2 #s(literal 7 binary64)) (*.f64 c (pow.f64 a #s(literal 4 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 5 binary64)) (*.f64 a (*.f64 a a)))) (-.f64 #s(literal 0 binary64) c)) (/.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a a))) c)) (-.f64 #s(literal 0 binary64) c))

eval591.0ms (4.9%)

Memory
52.9MiB live, 898.2MiB allocated
Compiler

Compiled 133 507 to 11 571 computations (91.3% saved)

prune491.0ms (4.1%)

Memory
-21.9MiB live, 859.5MiB allocated
Pruning

26 alts after pruning (24 fresh and 2 done)

PrunedKeptTotal
New3 317193 336
Fresh358
Picked415
Done011
Total3 324263 350
Accuracy
93.6%
Counts
3 350 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.9%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c (*.f64 c (*.f64 a (*.f64 a c)))) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))) b_2) (*.f64 (sqrt.f64 (fma.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 c (*.f64 a (*.f64 a c))))) (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (*.f64 (sqrt.f64 (fma.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 c (*.f64 a (*.f64 a c))))) b_2)) a)
4.5%
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 b_2 b_2) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 b_2 (+.f64 b_2 b_2) (*.f64 #s(literal 0 binary64) (+.f64 b_2 b_2))))) a)
24.3%
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) a)
34.2%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) b_2)) a)
2.7%
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) b_2)) a)
35.9%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (/.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (neg.f64 (*.f64 (*.f64 a (*.f64 a c)) (/.f64 c (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))) a)
35.9%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (/.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (neg.f64 (*.f64 (*.f64 a (*.f64 a c)) (*.f64 c (/.f64 #s(literal 1 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))))) a)
42.8%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (/.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (neg.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))))) a)
41.7%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) b_2) (neg.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 a c))) (fma.f64 b_2 b_2 (*.f64 a c))))))) a)
5.2%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 (fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))) (neg.f64 (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 a (*.f64 c (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))))) a)
22.4%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) a)
30.8%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))))) a)
57.8%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
40.2%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)))) a)
12.2%
(/.f64 (+.f64 b_2 (sqrt.f64 (*.f64 b_2 b_2))) a)
2.7%
(/.f64 (+.f64 b_2 b_2) a)
32.1%
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
34.3%
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
9.5%
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a c) b_2)) a)
2.7%
(/.f64 #s(literal 1 binary64) (/.f64 a (+.f64 b_2 b_2)))
2.7%
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 b_2 b_2)) #s(literal -1 binary64)))
2.7%
(*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b_2 b_2))
34.2%
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
32.0%
(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))
9.5%
(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
10.0%
#s(literal 0 binary64)
Compiler

Compiled 1 054 to 560 computations (46.9% saved)

simplify468.0ms (3.9%)

Memory
-4.2MiB live, 338.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (/.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (neg.f64 (*.f64 (*.f64 a (*.f64 a c)) (*.f64 c (/.f64 #s(literal 1 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))))) a)
cost-diff192
(+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (/.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (neg.f64 (*.f64 (*.f64 a (*.f64 a c)) (*.f64 c (/.f64 #s(literal 1 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))))
cost-diff320
(*.f64 c (/.f64 #s(literal 1 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))
cost-diff1856
(fma.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (/.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (neg.f64 (*.f64 (*.f64 a (*.f64 a c)) (*.f64 c (/.f64 #s(literal 1 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))
cost-diff0
(/.f64 #s(literal -1/2 binary64) b_2)
cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) b_2)) a)
cost-diff1024
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) b_2))
cost-diff0
(+.f64 b_2 b_2)
cost-diff0
(/.f64 #s(literal 1 binary64) a)
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b_2 b_2))
cost-diff0
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (/.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (neg.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))))) a)
cost-diff192
(+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (/.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (neg.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))))
cost-diff320
(*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))
cost-diff1856
(fma.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (/.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (neg.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))
Rules
7 360×accelerator-lowering-fma.f32
7 360×accelerator-lowering-fma.f64
2 592×*-lowering-*.f32
2 592×*-lowering-*.f64
1 898×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037517
1113463
2338447
3813447
41304447
52074447
62743399
73249399
83774399
94142399
104269399
114444399
124694399
135270399
145735399
155999399
166375399
176659399
186823399
196959399
206979399
216987399
226987383
237651383
08560361
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (+ (neg b_2) (sqrt (+ (* (* b_2 (+ (* b_2 b_2) 0)) (/ b_2 (+ (* b_2 b_2) (* a c)))) (neg (* (* a c) (* (* a c) (/ 1 (+ (* a c) (+ (* b_2 b_2) 0))))))))) a)
(+ (neg b_2) (sqrt (+ (* (* b_2 (+ (* b_2 b_2) 0)) (/ b_2 (+ (* b_2 b_2) (* a c)))) (neg (* (* a c) (* (* a c) (/ 1 (+ (* a c) (+ (* b_2 b_2) 0)))))))))
(neg b_2)
b_2
(sqrt (+ (* (* b_2 (+ (* b_2 b_2) 0)) (/ b_2 (+ (* b_2 b_2) (* a c)))) (neg (* (* a c) (* (* a c) (/ 1 (+ (* a c) (+ (* b_2 b_2) 0))))))))
(+ (* (* b_2 (+ (* b_2 b_2) 0)) (/ b_2 (+ (* b_2 b_2) (* a c)))) (neg (* (* a c) (* (* a c) (/ 1 (+ (* a c) (+ (* b_2 b_2) 0)))))))
(* b_2 (+ (* b_2 b_2) 0))
(+ (* b_2 b_2) 0)
0
(/ b_2 (+ (* b_2 b_2) (* a c)))
(+ (* b_2 b_2) (* a c))
(* a c)
a
c
(neg (* (* a c) (* (* a c) (/ 1 (+ (* a c) (+ (* b_2 b_2) 0))))))
(* (* a c) (* (* a c) (/ 1 (+ (* a c) (+ (* b_2 b_2) 0)))))
(* (* a c) (/ 1 (+ (* a c) (+ (* b_2 b_2) 0))))
(/ 1 (+ (* a c) (+ (* b_2 b_2) 0)))
1
(+ (* a c) (+ (* b_2 b_2) 0))
0
(* (/ 1 a) (+ b_2 b_2))
(/ 1 a)
1
a
(+ b_2 b_2)
b_2
(/ (/ 1 (/ -1/2 b_2)) a)
(/ 1 (/ -1/2 b_2))
1
(/ -1/2 b_2)
-1/2
b_2
a
(/ (+ (neg b_2) (sqrt (+ (* (* b_2 (+ (* b_2 b_2) 0)) (/ b_2 (+ (* b_2 b_2) (* a c)))) (neg (* (* a (* a c)) (* c (/ 1 (+ (* a c) (+ (* b_2 b_2) 0))))))))) a)
(+ (neg b_2) (sqrt (+ (* (* b_2 (+ (* b_2 b_2) 0)) (/ b_2 (+ (* b_2 b_2) (* a c)))) (neg (* (* a (* a c)) (* c (/ 1 (+ (* a c) (+ (* b_2 b_2) 0)))))))))
(neg b_2)
b_2
(sqrt (+ (* (* b_2 (+ (* b_2 b_2) 0)) (/ b_2 (+ (* b_2 b_2) (* a c)))) (neg (* (* a (* a c)) (* c (/ 1 (+ (* a c) (+ (* b_2 b_2) 0))))))))
(+ (* (* b_2 (+ (* b_2 b_2) 0)) (/ b_2 (+ (* b_2 b_2) (* a c)))) (neg (* (* a (* a c)) (* c (/ 1 (+ (* a c) (+ (* b_2 b_2) 0)))))))
(* b_2 (+ (* b_2 b_2) 0))
(+ (* b_2 b_2) 0)
0
(/ b_2 (+ (* b_2 b_2) (* a c)))
(+ (* b_2 b_2) (* a c))
(* a c)
a
c
(neg (* (* a (* a c)) (* c (/ 1 (+ (* a c) (+ (* b_2 b_2) 0))))))
(* (* a (* a c)) (* c (/ 1 (+ (* a c) (+ (* b_2 b_2) 0)))))
(* a (* a c))
(* c (/ 1 (+ (* a c) (+ (* b_2 b_2) 0))))
(/ 1 (+ (* a c) (+ (* b_2 b_2) 0)))
1
(+ (* a c) (+ (* b_2 b_2) 0))
Outputs
(/ (+ (neg b_2) (sqrt (+ (* (* b_2 (+ (* b_2 b_2) 0)) (/ b_2 (+ (* b_2 b_2) (* a c)))) (neg (* (* a c) (* (* a c) (/ 1 (+ (* a c) (+ (* b_2 b_2) 0))))))))) a)
(/.f64 (-.f64 (sqrt.f64 (/.f64 (fma.f64 (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))) (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))) #s(literal 0 binary64)) (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))))) b_2) a)
(+ (neg b_2) (sqrt (+ (* (* b_2 (+ (* b_2 b_2) 0)) (/ b_2 (+ (* b_2 b_2) (* a c)))) (neg (* (* a c) (* (* a c) (/ 1 (+ (* a c) (+ (* b_2 b_2) 0)))))))))
(-.f64 (sqrt.f64 (/.f64 (fma.f64 (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))) (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))) #s(literal 0 binary64)) (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))))) b_2)
(neg b_2)
(-.f64 #s(literal 0 binary64) b_2)
b_2
(sqrt (+ (* (* b_2 (+ (* b_2 b_2) 0)) (/ b_2 (+ (* b_2 b_2) (* a c)))) (neg (* (* a c) (* (* a c) (/ 1 (+ (* a c) (+ (* b_2 b_2) 0))))))))
(sqrt.f64 (/.f64 (fma.f64 (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))) (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))) #s(literal 0 binary64)) (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64)))))
(+ (* (* b_2 (+ (* b_2 b_2) 0)) (/ b_2 (+ (* b_2 b_2) (* a c)))) (neg (* (* a c) (* (* a c) (/ 1 (+ (* a c) (+ (* b_2 b_2) 0)))))))
(/.f64 (fma.f64 (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))) (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))) #s(literal 0 binary64)) (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))))
(* b_2 (+ (* b_2 b_2) 0))
(fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* b_2 b_2) 0)
(fma.f64 b_2 b_2 #s(literal 0 binary64))
0
#s(literal 0 binary64)
(/ b_2 (+ (* b_2 b_2) (* a c)))
(/.f64 b_2 (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))))
(+ (* b_2 b_2) (* a c))
(fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64)))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
a
c
(neg (* (* a c) (* (* a c) (/ 1 (+ (* a c) (+ (* b_2 b_2) 0))))))
(fma.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 a (-.f64 #s(literal 0 binary64) (/.f64 c (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (* a c) (* (* a c) (/ 1 (+ (* a c) (+ (* b_2 b_2) 0)))))
(fma.f64 (fma.f64 a (fma.f64 a c #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 c (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64)))) #s(literal 0 binary64))
(* (* a c) (/ 1 (+ (* a c) (+ (* b_2 b_2) 0))))
(fma.f64 a (/.f64 c (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64)))) #s(literal 0 binary64))
(/ 1 (+ (* a c) (+ (* b_2 b_2) 0)))
(/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))))
1
#s(literal 1 binary64)
(+ (* a c) (+ (* b_2 b_2) 0))
(fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64)))
0
#s(literal 0 binary64)
(* (/ 1 a) (+ b_2 b_2))
(/.f64 (+.f64 b_2 b_2) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
1
#s(literal 1 binary64)
a
(+ b_2 b_2)
(+.f64 b_2 b_2)
b_2
(/ (/ 1 (/ -1/2 b_2)) a)
(fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) #s(literal 0 binary64))
(/ 1 (/ -1/2 b_2))
(fma.f64 b_2 #s(literal -2 binary64) #s(literal 0 binary64))
1
#s(literal 1 binary64)
(/ -1/2 b_2)
(/.f64 #s(literal -1/2 binary64) b_2)
-1/2
#s(literal -1/2 binary64)
b_2
a
(/ (+ (neg b_2) (sqrt (+ (* (* b_2 (+ (* b_2 b_2) 0)) (/ b_2 (+ (* b_2 b_2) (* a c)))) (neg (* (* a (* a c)) (* c (/ 1 (+ (* a c) (+ (* b_2 b_2) 0))))))))) a)
(/.f64 (-.f64 (sqrt.f64 (/.f64 (fma.f64 (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))) (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))) #s(literal 0 binary64)) (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))))) b_2) a)
(+ (neg b_2) (sqrt (+ (* (* b_2 (+ (* b_2 b_2) 0)) (/ b_2 (+ (* b_2 b_2) (* a c)))) (neg (* (* a (* a c)) (* c (/ 1 (+ (* a c) (+ (* b_2 b_2) 0)))))))))
(-.f64 (sqrt.f64 (/.f64 (fma.f64 (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))) (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))) #s(literal 0 binary64)) (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))))) b_2)
(neg b_2)
(-.f64 #s(literal 0 binary64) b_2)
b_2
(sqrt (+ (* (* b_2 (+ (* b_2 b_2) 0)) (/ b_2 (+ (* b_2 b_2) (* a c)))) (neg (* (* a (* a c)) (* c (/ 1 (+ (* a c) (+ (* b_2 b_2) 0))))))))
(sqrt.f64 (/.f64 (fma.f64 (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))) (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))) #s(literal 0 binary64)) (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64)))))
(+ (* (* b_2 (+ (* b_2 b_2) 0)) (/ b_2 (+ (* b_2 b_2) (* a c)))) (neg (* (* a (* a c)) (* c (/ 1 (+ (* a c) (+ (* b_2 b_2) 0)))))))
(/.f64 (fma.f64 (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))) (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))) #s(literal 0 binary64)) (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))))
(* b_2 (+ (* b_2 b_2) 0))
(fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* b_2 b_2) 0)
(fma.f64 b_2 b_2 #s(literal 0 binary64))
0
#s(literal 0 binary64)
(/ b_2 (+ (* b_2 b_2) (* a c)))
(/.f64 b_2 (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))))
(+ (* b_2 b_2) (* a c))
(fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64)))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
a
c
(neg (* (* a (* a c)) (* c (/ 1 (+ (* a c) (+ (* b_2 b_2) 0))))))
(fma.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 a (-.f64 #s(literal 0 binary64) (/.f64 c (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (* a (* a c)) (* c (/ 1 (+ (* a c) (+ (* b_2 b_2) 0)))))
(fma.f64 (fma.f64 a (fma.f64 a c #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 c (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64)))) #s(literal 0 binary64))
(* a (* a c))
(fma.f64 a (fma.f64 a c #s(literal 0 binary64)) #s(literal 0 binary64))
(* c (/ 1 (+ (* a c) (+ (* b_2 b_2) 0))))
(/.f64 c (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))))
(/ 1 (+ (* a c) (+ (* b_2 b_2) 0)))
(/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))))
1
#s(literal 1 binary64)
(+ (* a c) (+ (* b_2 b_2) 0))
(fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64)))

localize237.0ms (2%)

Memory
-17.4MiB live, 328.4MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy81.6%
(*.f64 (*.f64 a (*.f64 a c)) (*.f64 c (/.f64 #s(literal 1 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
accuracy81.3%
(+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (/.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (neg.f64 (*.f64 (*.f64 a (*.f64 a c)) (*.f64 c (/.f64 #s(literal 1 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))))
accuracy66.5%
(/.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c)))
accuracy62.5%
(sqrt.f64 (fma.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (/.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (neg.f64 (*.f64 (*.f64 a (*.f64 a c)) (*.f64 c (/.f64 #s(literal 1 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))))
accuracy100.0%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) b_2)) a)
accuracy100.0%
(/.f64 #s(literal -1/2 binary64) b_2)
accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) b_2))
accuracy100.0%
(/.f64 #s(literal 1 binary64) a)
accuracy100.0%
(+.f64 b_2 b_2)
accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b_2 b_2))
accuracy83.7%
(*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))
accuracy81.3%
(+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (/.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (neg.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))))
accuracy66.5%
(/.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c)))
accuracy62.5%
(sqrt.f64 (fma.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (/.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (neg.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))))
Samples
88.0ms32×2valid
52.0ms180×0valid
18.0ms36×1valid
7.0ms3valid
Compiler

Compiled 523 to 39 computations (92.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 136.0ms
ival-mult: 87.0ms (64% of total)
ival-div: 17.0ms (12.5% of total)
ival-add: 13.0ms (9.6% of total)
ival-sqrt: 10.0ms (7.4% of total)
adjust: 5.0ms (3.7% of total)
ival-neg: 5.0ms (3.7% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series41.0ms (0.3%)

Memory
38.5MiB live, 77.4MiB allocated
Counts
18 → 528
Calls
Call 1
Inputs
#<alt (+ (* (* b_2 (+ (* b_2 b_2) 0)) (/ b_2 (+ (* b_2 b_2) (* a c)))) (neg (* (* a c) (* (* a c) (/ 1 (+ (* a c) (+ (* b_2 b_2) 0)))))))>
#<alt (* (* a c) (/ 1 (+ (* a c) (+ (* b_2 b_2) 0))))>
#<alt (+ (neg b_2) (sqrt (+ (* (* b_2 (+ (* b_2 b_2) 0)) (/ b_2 (+ (* b_2 b_2) (* a c)))) (neg (* (* a c) (* (* a c) (/ 1 (+ (* a c) (+ (* b_2 b_2) 0)))))))))>
#<alt (/ (+ (neg b_2) (sqrt (+ (* (* b_2 (+ (* b_2 b_2) 0)) (/ b_2 (+ (* b_2 b_2) (* a c)))) (neg (* (* a c) (* (* a c) (/ 1 (+ (* a c) (+ (* b_2 b_2) 0))))))))) a)>
#<alt (* (/ 1 a) (+ b_2 b_2))>
#<alt (/ 1 a)>
#<alt (+ b_2 b_2)>
#<alt (/ 1 (/ -1/2 b_2))>
#<alt (/ (/ 1 (/ -1/2 b_2)) a)>
#<alt (/ -1/2 b_2)>
#<alt (+ (* (* b_2 (+ (* b_2 b_2) 0)) (/ b_2 (+ (* b_2 b_2) (* a c)))) (neg (* (* a (* a c)) (* c (/ 1 (+ (* a c) (+ (* b_2 b_2) 0)))))))>
#<alt (* c (/ 1 (+ (* a c) (+ (* b_2 b_2) 0))))>
#<alt (+ (neg b_2) (sqrt (+ (* (* b_2 (+ (* b_2 b_2) 0)) (/ b_2 (+ (* b_2 b_2) (* a c)))) (neg (* (* a (* a c)) (* c (/ 1 (+ (* a c) (+ (* b_2 b_2) 0)))))))))>
#<alt (/ (+ (neg b_2) (sqrt (+ (* (* b_2 (+ (* b_2 b_2) 0)) (/ b_2 (+ (* b_2 b_2) (* a c)))) (neg (* (* a (* a c)) (* c (/ 1 (+ (* a c) (+ (* b_2 b_2) 0))))))))) a)>
#<alt (sqrt (+ (* (* b_2 (+ (* b_2 b_2) 0)) (/ b_2 (+ (* b_2 b_2) (* a c)))) (neg (* (* a c) (* (* a c) (/ 1 (+ (* a c) (+ (* b_2 b_2) 0))))))))>
#<alt (/ b_2 (+ (* b_2 b_2) (* a c)))>
#<alt (sqrt (+ (* (* b_2 (+ (* b_2 b_2) 0)) (/ b_2 (+ (* b_2 b_2) (* a c)))) (neg (* (* a (* a c)) (* c (/ 1 (+ (* a c) (+ (* b_2 b_2) 0))))))))>
#<alt (* (* a (* a c)) (* c (/ 1 (+ (* a c) (+ (* b_2 b_2) 0)))))>
Outputs
#<alt (* -1 (* a c))>
#<alt (- (pow b_2 2) (* a c))>
#<alt (- (pow b_2 2) (* a c))>
#<alt (- (pow b_2 2) (* a c))>
#<alt (pow b_2 2)>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (* (pow b_2 2) (- (+ 1 (* -1 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))) (pow b_2 4)))) (/ (* a c) (pow b_2 2))))>
#<alt (* (pow b_2 2) (- (+ 1 (* -1 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))) (pow b_2 4)))) (/ (* a c) (pow b_2 2))))>
#<alt (pow b_2 2)>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (* (pow b_2 2) (- (+ 1 (* -1 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))) (pow b_2 4)))) (/ (* a c) (pow b_2 2))))>
#<alt (* (pow b_2 2) (- (+ 1 (* -1 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))) (pow b_2 4)))) (/ (* a c) (pow b_2 2))))>
#<alt (pow b_2 2)>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) c)) (pow b_2 2))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) c)) (pow b_2 2))>
#<alt (* -1 (* a c))>
#<alt (* a (- (/ (pow b_2 2) a) c))>
#<alt (* a (- (+ (* -1 (/ (pow b_2 4) (* (pow a 2) c))) (+ (/ (pow b_2 2) a) (/ (pow b_2 4) (* (pow a 2) c)))) c))>
#<alt (* a (- (+ (* -1 (/ (pow b_2 4) (* (pow a 2) c))) (+ (/ (pow b_2 2) a) (/ (pow b_2 4) (* (pow a 2) c)))) c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))>
#<alt (* -1 (* a (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)) a)) (pow b_2 2)) a)) (* -1 c))))>
#<alt (* -1 (* a (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)) a)) (pow b_2 2)) a)) (* -1 c))))>
#<alt (pow b_2 2)>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (+ (* c (- (* -1 (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) a)) (pow b_2 2))>
#<alt (+ (* c (- (* -1 (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) a)) (pow b_2 2))>
#<alt (* -1 (* a c))>
#<alt (* c (- (/ (pow b_2 2) c) a))>
#<alt (* c (- (+ (* -1 (/ (pow b_2 4) (* a (pow c 2)))) (+ (/ (pow b_2 2) c) (/ (pow b_2 4) (* a (pow c 2))))) a))>
#<alt (* c (- (+ (* -1 (/ (pow b_2 4) (* a (pow c 2)))) (+ (/ (pow b_2 2) c) (/ (pow b_2 4) (* a (pow c 2))))) a))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))>
#<alt (* -1 (* c (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a)) c)) (pow b_2 2)) c)) (* -1 a))))>
#<alt (* -1 (* c (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a)) c)) (pow b_2 2)) c)) (* -1 a))))>
#<alt (/ (* a c) (pow b_2 2))>
#<alt (* a (+ (* -1 (/ (* a (pow c 2)) (pow b_2 4))) (/ c (pow b_2 2))))>
#<alt (* a (+ (* a (- (/ (* a (pow c 3)) (pow b_2 6)) (/ (pow c 2) (pow b_2 4)))) (/ c (pow b_2 2))))>
#<alt (* a (+ (* a (- (* a (- (* -1 (/ (* a (pow c 4)) (pow b_2 8))) (* -1 (/ (pow c 3) (pow b_2 6))))) (/ (pow c 2) (pow b_2 4)))) (/ c (pow b_2 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (pow b_2 2) (* a c))))>
#<alt (- (+ 1 (/ (pow b_2 4) (* (pow a 2) (pow c 2)))) (/ (pow b_2 2) (* a c)))>
#<alt (- (+ 1 (* -1 (/ (pow b_2 6) (* (pow a 3) (pow c 3))))) (+ (* -1 (/ (pow b_2 4) (* (pow a 2) (pow c 2)))) (/ (pow b_2 2) (* a c))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (pow b_2 2) (* a c))))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (pow b_2 4) (* a (pow c 2)))) (/ (pow b_2 2) c)) a)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b_2 6) (* a (pow c 3)))) (/ (pow b_2 4) (pow c 2))) a)) (/ (pow b_2 2) c)) a)))>
#<alt (/ (* a c) (pow b_2 2))>
#<alt (* c (+ (* -1 (/ (* (pow a 2) c) (pow b_2 4))) (/ a (pow b_2 2))))>
#<alt (* c (+ (* c (- (/ (* (pow a 3) c) (pow b_2 6)) (/ (pow a 2) (pow b_2 4)))) (/ a (pow b_2 2))))>
#<alt (* c (+ (* c (- (* c (- (* -1 (/ (* (pow a 4) c) (pow b_2 8))) (* -1 (/ (pow a 3) (pow b_2 6))))) (/ (pow a 2) (pow b_2 4)))) (/ a (pow b_2 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (pow b_2 2) (* a c))))>
#<alt (- (+ 1 (/ (pow b_2 4) (* (pow a 2) (pow c 2)))) (/ (pow b_2 2) (* a c)))>
#<alt (- (+ 1 (* -1 (/ (pow b_2 6) (* (pow a 3) (pow c 3))))) (+ (* -1 (/ (pow b_2 4) (* (pow a 2) (pow c 2)))) (/ (pow b_2 2) (* a c))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (pow b_2 2) (* a c))))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (pow b_2 4) (* (pow a 2) c))) (/ (pow b_2 2) a)) c)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b_2 6) (* (pow a 3) c))) (/ (pow b_2 4) (pow a 2))) c)) (/ (pow b_2 2) a)) c)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (pow b_2 2) (* a c))))>
#<alt (+ 1 (* (pow b_2 2) (- (/ (pow b_2 2) (* (pow a 2) (pow c 2))) (/ 1 (* a c)))))>
#<alt (+ 1 (* (pow b_2 2) (- (* (pow b_2 2) (+ (* -1 (/ (pow b_2 2) (* (pow a 3) (pow c 3)))) (/ 1 (* (pow a 2) (pow c 2))))) (/ 1 (* a c)))))>
#<alt (/ (* a c) (pow b_2 2))>
#<alt (/ (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* a c)) (pow b_2 2))>
#<alt (/ (- (+ (* a c) (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (pow b_2 2))>
#<alt (/ (- (+ (* -1 (/ (* (pow a 4) (pow c 4)) (pow b_2 6))) (* a c)) (+ (* -1 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) (pow b_2 2))>
#<alt (/ (* a c) (pow b_2 2))>
#<alt (/ (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* a c)) (pow b_2 2))>
#<alt (/ (- (+ (* a c) (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (pow b_2 2))>
#<alt (/ (- (+ (* -1 (/ (* (pow a 4) (pow c 4)) (pow b_2 6))) (* a c)) (+ (* -1 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) (pow b_2 2))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (/ (+ (* -1/2 (* a c)) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 2)))) b_2)>
#<alt (/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 2))) (* -1/4 (/ (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (pow b_2 4))))) b_2)>
#<alt (/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 2))) (+ (* -1/2 (/ (+ (* 1/4 (* (pow a 2) (* (pow c 2) (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))))))) (* 1/4 (pow (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) 2))) (pow b_2 6))) (* -1/4 (/ (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (pow b_2 4)))))) b_2)>
#<alt (* -2 b_2)>
#<alt (* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4)))))))>
#<alt (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* -1/4 (/ (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (pow b_2 6))))))))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* a (+ (* -1/2 (/ c b_2)) (* -1/2 (/ (* a (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) b_2))))>
#<alt (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/2 (/ (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) b_2)) (* -1/4 (/ (* a (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))))) (pow b_2 3)))))))>
#<alt (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/2 (/ (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) b_2)) (* a (+ (* -1/2 (/ (* a (+ (* 1/4 (/ (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) (pow b_2 4))) (* 1/4 (/ (pow (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) 2) (pow b_2 2))))) b_2)) (* -1/4 (/ (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) (pow b_2 3)))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))>
#<alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c))))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* c (+ (* -1/2 (/ a b_2)) (* -1/2 (/ (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) b_2))))>
#<alt (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/2 (/ (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) b_2)) (* -1/4 (/ (* a (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))))) (pow b_2 3)))))))>
#<alt (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/2 (/ (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) b_2)) (* c (+ (* -1/2 (/ (* c (+ (* 1/4 (/ (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) (pow b_2 4))) (* 1/4 (/ (pow (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) 2) (pow b_2 2))))) b_2)) (* -1/4 (/ (* a (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) (pow b_2 3)))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))>
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a)) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a))))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1/2 (/ c b_2))>
#<alt (/ (+ (* -1/2 c) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (* a (pow b_2 2))))) b_2)>
#<alt (/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (* a (pow b_2 2)))) (* -1/4 (/ (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))))) (pow b_2 4))))) b_2)>
#<alt (/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (* a (pow b_2 2)))) (+ (* -1/2 (/ (+ (* 1/4 (* (pow a 2) (* (pow c 2) (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))))))) (* 1/4 (pow (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) 2))) (* a (pow b_2 6)))) (* -1/4 (/ (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))))) (pow b_2 4)))))) b_2)>
#<alt (* -2 (/ b_2 a))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (* a (pow b_2 4)))) (* 2 (/ 1 a))))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (* a (pow b_2 4)))) (+ (* -1/4 (/ (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))))) (pow b_2 6))) (* 2 (/ 1 a)))))))>
#<alt (* -1/2 (/ c b_2))>
#<alt (+ (* -1/2 (/ c b_2)) (* -1/2 (/ (* a (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) b_2)))>
#<alt (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/2 (/ (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) b_2)) (* -1/4 (/ (* a (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))))) (pow b_2 3))))))>
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#<alt (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/2 (/ (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) b_2)) (* -1/4 (/ (* a (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))))) (pow b_2 3)))))))>
#<alt (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/2 (/ (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) b_2)) (* c (+ (* -1/2 (/ (* c (+ (* 1/4 (/ (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) (pow b_2 4))) (* 1/4 (/ (pow (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) 2) (pow b_2 2))))) b_2)) (* -1/4 (/ (* a (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) (pow b_2 3)))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))>
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a)) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a))))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1/2 (/ c b_2))>
#<alt (/ (+ (* -1/2 c) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (* a (pow b_2 2))))) b_2)>
#<alt (/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (* a (pow b_2 2)))) (* -1/4 (/ (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))))) (pow b_2 4))))) b_2)>
#<alt (/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (* a (pow b_2 2)))) (+ (* -1/2 (/ (+ (* 1/4 (* (pow a 2) (* (pow c 2) (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))))))) (* 1/4 (pow (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) 2))) (* a (pow b_2 6)))) (* -1/4 (/ (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))))) (pow b_2 4)))))) b_2)>
#<alt (* -2 (/ b_2 a))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (* a (pow b_2 4)))) (* 2 (/ 1 a))))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (* a (pow b_2 4)))) (+ (* -1/4 (/ (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))))) (pow b_2 6))) (* 2 (/ 1 a)))))))>
#<alt (* -1/2 (/ c b_2))>
#<alt (+ (* -1/2 (/ c b_2)) (* -1/2 (/ (* a (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) b_2)))>
#<alt (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/2 (/ (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) b_2)) (* -1/4 (/ (* a (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))))) (pow b_2 3))))))>
#<alt (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/2 (/ (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) b_2)) (* a (+ (* -1/2 (/ (* a (+ (* 1/4 (/ (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) (pow b_2 4))) (* 1/4 (/ (pow (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) 2) (pow b_2 2))))) b_2)) (* -1/4 (/ (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) (pow b_2 3))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)))))) a))) a)))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* c (- (* -1/2 (/ (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) (* a b_2))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (- (* c (+ (* -1/2 (/ (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) (* a b_2))) (* -1/4 (/ (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) (pow b_2 3))))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (- (* c (+ (* -1/2 (/ (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) (* a b_2))) (* c (+ (* -1/2 (/ (* c (+ (* 1/4 (/ (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) (pow b_2 4))) (* 1/4 (/ (pow (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) 2) (pow b_2 2))))) (* a b_2))) (* -1/4 (/ (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) (pow b_2 3))))))) (* 1/2 (/ 1 b_2))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a)) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a))))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))>
#<alt (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))>
#<alt b_2>
#<alt (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))>
#<alt (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4))))))>
#<alt (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* -1/4 (/ (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (pow b_2 6)))))))>
#<alt (* -1 b_2)>
#<alt (* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4)))))))>
#<alt (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* -1/4 (/ (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (pow b_2 6))))))))>
#<alt b_2>
#<alt (+ b_2 (* -1/2 (/ (* a c) b_2)))>
#<alt (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/2 (/ (* a (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) b_2)))))>
#<alt (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/2 (/ (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) b_2)) (* -1/4 (/ (* a (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))))) (pow b_2 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* a (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)))))) (pow a 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt b_2>
#<alt (+ b_2 (* -1/2 (/ (* a c) b_2)))>
#<alt (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/2 (/ (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) b_2)))))>
#<alt (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/2 (/ (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) b_2)) (* -1/4 (/ (* a (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))))) (pow b_2 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a)) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a)) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a))))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a)))))) (pow c 3))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (/ b_2 (* a c))>
#<alt (* b_2 (+ (* -1 (/ (pow b_2 2) (* (pow a 2) (pow c 2)))) (/ 1 (* a c))))>
#<alt (* b_2 (+ (* (pow b_2 2) (- (/ (pow b_2 2) (* (pow a 3) (pow c 3))) (/ 1 (* (pow a 2) (pow c 2))))) (/ 1 (* a c))))>
#<alt (* b_2 (+ (* (pow b_2 2) (- (* (pow b_2 2) (+ (* -1 (/ (pow b_2 2) (* (pow a 4) (pow c 4)))) (/ 1 (* (pow a 3) (pow c 3))))) (/ 1 (* (pow a 2) (pow c 2))))) (/ 1 (* a c))))>
#<alt (/ 1 b_2)>
#<alt (/ (+ 1 (* -1 (/ (* a c) (pow b_2 2)))) b_2)>
#<alt (/ (- (+ 1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (/ (* a c) (pow b_2 2))) b_2)>
#<alt (/ (- (+ 1 (* -1 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (/ (* a c) (pow b_2 2)))) b_2)>
#<alt (/ 1 b_2)>
#<alt (* -1 (/ (- (/ (* a c) (pow b_2 2)) 1) b_2))>
#<alt (* -1 (/ (- (* -1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ 1 (* -1 (/ (* a c) (pow b_2 2))))) b_2))>
#<alt (* -1 (/ (- (/ (* (pow a 3) (pow c 3)) (pow b_2 6)) (+ 1 (+ (* -1 (/ (* a c) (pow b_2 2))) (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))) b_2))>
#<alt (/ 1 b_2)>
#<alt (+ (* -1 (/ (* a c) (pow b_2 3))) (/ 1 b_2))>
#<alt (+ (* a (- (/ (* a (pow c 2)) (pow b_2 5)) (/ c (pow b_2 3)))) (/ 1 b_2))>
#<alt (+ (* a (- (* a (- (* -1 (/ (* a (pow c 3)) (pow b_2 7))) (* -1 (/ (pow c 2) (pow b_2 5))))) (/ c (pow b_2 3)))) (/ 1 b_2))>
#<alt (/ b_2 (* a c))>
#<alt (/ (+ (* -1 (/ (pow b_2 3) (* a (pow c 2)))) (/ b_2 c)) a)>
#<alt (/ (- (+ (/ b_2 c) (/ (pow b_2 5) (* (pow a 2) (pow c 3)))) (/ (pow b_2 3) (* a (pow c 2)))) a)>
#<alt (/ (- (+ (* -1 (/ (pow b_2 7) (* (pow a 3) (pow c 4)))) (/ b_2 c)) (+ (* -1 (/ (pow b_2 5) (* (pow a 2) (pow c 3)))) (/ (pow b_2 3) (* a (pow c 2))))) a)>
#<alt (/ b_2 (* a c))>
#<alt (* -1 (/ (+ (* -1 (/ b_2 c)) (/ (pow b_2 3) (* a (pow c 2)))) a))>
#<alt (* -1 (/ (+ (* -1 (/ b_2 c)) (* -1 (/ (- (/ (pow b_2 5) (* a (pow c 3))) (/ (pow b_2 3) (pow c 2))) a))) a))>
#<alt (* -1 (/ (+ (* -1 (/ b_2 c)) (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 7) (* a (pow c 4))) (/ (pow b_2 5) (pow c 3))) a)) (/ (pow b_2 3) (pow c 2))) a))) a))>
#<alt (/ 1 b_2)>
#<alt (+ (* -1 (/ (* a c) (pow b_2 3))) (/ 1 b_2))>
#<alt (+ (* c (- (/ (* (pow a 2) c) (pow b_2 5)) (/ a (pow b_2 3)))) (/ 1 b_2))>
#<alt (+ (* c (- (* c (- (* -1 (/ (* (pow a 3) c) (pow b_2 7))) (* -1 (/ (pow a 2) (pow b_2 5))))) (/ a (pow b_2 3)))) (/ 1 b_2))>
#<alt (/ b_2 (* a c))>
#<alt (/ (+ (* -1 (/ (pow b_2 3) (* (pow a 2) c))) (/ b_2 a)) c)>
#<alt (/ (- (+ (/ b_2 a) (/ (pow b_2 5) (* (pow a 3) (pow c 2)))) (/ (pow b_2 3) (* (pow a 2) c))) c)>
#<alt (/ (- (+ (* -1 (/ (pow b_2 7) (* (pow a 4) (pow c 3)))) (/ b_2 a)) (+ (* -1 (/ (pow b_2 5) (* (pow a 3) (pow c 2)))) (/ (pow b_2 3) (* (pow a 2) c)))) c)>
#<alt (/ b_2 (* a c))>
#<alt (* -1 (/ (+ (* -1 (/ b_2 a)) (/ (pow b_2 3) (* (pow a 2) c))) c))>
#<alt (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (- (/ (pow b_2 5) (* (pow a 3) c)) (/ (pow b_2 3) (pow a 2))) c))) c))>
#<alt (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 7) (* (pow a 4) c)) (/ (pow b_2 5) (pow a 3))) c)) (/ (pow b_2 3) (pow a 2))) c))) c))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))>
#<alt (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))>
#<alt b_2>
#<alt (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))>
#<alt (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4))))))>
#<alt (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* -1/4 (/ (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (pow b_2 6)))))))>
#<alt (* -1 b_2)>
#<alt (* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4)))))))>
#<alt (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* -1/4 (/ (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (pow b_2 6))))))))>
#<alt b_2>
#<alt (+ b_2 (* -1/2 (/ (* a c) b_2)))>
#<alt (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/2 (/ (* a (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) b_2)))))>
#<alt (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/2 (/ (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) b_2)) (* -1/4 (/ (* a (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))))) (pow b_2 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* a (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)))))) (pow a 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt b_2>
#<alt (+ b_2 (* -1/2 (/ (* a c) b_2)))>
#<alt (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/2 (/ (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) b_2)))))>
#<alt (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/2 (/ (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) b_2)) (* -1/4 (/ (* a (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))))) (pow b_2 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a)) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a)) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a))))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a)))))) (pow c 3))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b_2 2))>
#<alt (* (pow a 2) (+ (* -1 (/ (* a (pow c 3)) (pow b_2 4))) (/ (pow c 2) (pow b_2 2))))>
#<alt (* (pow a 2) (+ (* a (- (/ (* a (pow c 4)) (pow b_2 6)) (/ (pow c 3) (pow b_2 4)))) (/ (pow c 2) (pow b_2 2))))>
#<alt (* (pow a 2) (+ (* a (- (* a (- (* -1 (/ (* a (pow c 5)) (pow b_2 8))) (* -1 (/ (pow c 4) (pow b_2 6))))) (/ (pow c 3) (pow b_2 4)))) (/ (pow c 2) (pow b_2 2))))>
#<alt (* a c)>
#<alt (* a (+ c (* -1 (/ (pow b_2 2) a))))>
#<alt (* a (- (+ c (/ (pow b_2 4) (* (pow a 2) c))) (/ (pow b_2 2) a)))>
#<alt (* a (- (+ c (* -1 (/ (pow b_2 6) (* (pow a 3) (pow c 2))))) (+ (* -1 (/ (pow b_2 4) (* (pow a 2) c))) (/ (pow b_2 2) a))))>
#<alt (* a c)>
#<alt (* -1 (* a (+ (* -1 c) (/ (pow b_2 2) a))))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (- (/ (pow b_2 4) (* a c)) (pow b_2 2)) a)))))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 6) (* a (pow c 2))) (/ (pow b_2 4) c)) a)) (pow b_2 2)) a)))))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b_2 2))>
#<alt (* (pow c 2) (+ (* -1 (/ (* (pow a 3) c) (pow b_2 4))) (/ (pow a 2) (pow b_2 2))))>
#<alt (* (pow c 2) (+ (* c (- (/ (* (pow a 4) c) (pow b_2 6)) (/ (pow a 3) (pow b_2 4)))) (/ (pow a 2) (pow b_2 2))))>
#<alt (* (pow c 2) (+ (* c (- (* c (- (* -1 (/ (* (pow a 5) c) (pow b_2 8))) (* -1 (/ (pow a 4) (pow b_2 6))))) (/ (pow a 3) (pow b_2 4)))) (/ (pow a 2) (pow b_2 2))))>
#<alt (* a c)>
#<alt (* c (+ a (* -1 (/ (pow b_2 2) c))))>
#<alt (* c (- (+ a (/ (pow b_2 4) (* a (pow c 2)))) (/ (pow b_2 2) c)))>
#<alt (* c (- (+ a (* -1 (/ (pow b_2 6) (* (pow a 2) (pow c 3))))) (+ (* -1 (/ (pow b_2 4) (* a (pow c 2)))) (/ (pow b_2 2) c))))>
#<alt (* a c)>
#<alt (* -1 (* c (+ (* -1 a) (/ (pow b_2 2) c))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (- (/ (pow b_2 4) (* a c)) (pow b_2 2)) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 6) (* (pow a 2) c)) (/ (pow b_2 4) a)) c)) (pow b_2 2)) c)))))>
#<alt (* a c)>
#<alt (+ (* -1 (pow b_2 2)) (* a c))>
#<alt (+ (* a c) (* (pow b_2 2) (- (/ (pow b_2 2) (* a c)) 1)))>
#<alt (+ (* a c) (* (pow b_2 2) (- (* (pow b_2 2) (+ (* -1 (/ (pow b_2 2) (* (pow a 2) (pow c 2)))) (/ 1 (* a c)))) 1)))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b_2 2))>
#<alt (/ (+ (* -1 (/ (* (pow a 3) (pow c 3)) (pow b_2 2))) (* (pow a 2) (pow c 2))) (pow b_2 2))>
#<alt (/ (- (+ (* (pow a 2) (pow c 2)) (/ (* (pow a 4) (pow c 4)) (pow b_2 4))) (/ (* (pow a 3) (pow c 3)) (pow b_2 2))) (pow b_2 2))>
#<alt (/ (- (+ (* -1 (/ (* (pow a 5) (pow c 5)) (pow b_2 6))) (* (pow a 2) (pow c 2))) (+ (* -1 (/ (* (pow a 4) (pow c 4)) (pow b_2 4))) (/ (* (pow a 3) (pow c 3)) (pow b_2 2)))) (pow b_2 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b_2 2))>
#<alt (/ (+ (* -1 (/ (* (pow a 3) (pow c 3)) (pow b_2 2))) (* (pow a 2) (pow c 2))) (pow b_2 2))>
#<alt (/ (- (+ (* (pow a 2) (pow c 2)) (/ (* (pow a 4) (pow c 4)) (pow b_2 4))) (/ (* (pow a 3) (pow c 3)) (pow b_2 2))) (pow b_2 2))>
#<alt (/ (- (+ (* -1 (/ (* (pow a 5) (pow c 5)) (pow b_2 6))) (* (pow a 2) (pow c 2))) (+ (* -1 (/ (* (pow a 4) (pow c 4)) (pow b_2 4))) (/ (* (pow a 3) (pow c 3)) (pow b_2 2)))) (pow b_2 2))>
Calls

132 calls:

TimeVariablePointExpression
15.0ms
c
@inf
(* (* a c) (/ 1 (+ (* a c) (+ (* b_2 b_2) 0))))
2.0ms
b_2
@0
(* (/ 1 a) (+ b_2 b_2))
0.0ms
b_2
@inf
(* c (/ 1 (+ (* a c) (+ (* b_2 b_2) 0))))
0.0ms
a
@inf
(* (* a c) (/ 1 (+ (* a c) (+ (* b_2 b_2) 0))))
0.0ms
b_2
@0
(* c (/ 1 (+ (* a c) (+ (* b_2 b_2) 0))))

rewrite550.0ms (4.6%)

Memory
6.2MiB live, 941.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 850×accelerator-lowering-fma.f32
5 850×accelerator-lowering-fma.f64
4 802×*-lowering-*.f32
4 802×*-lowering-*.f64
4 260×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037340
1257272
22323128
08463124
Stop Event
iter limit
node limit
Counts
18 → 1 194
Calls
Call 1
Inputs
(+ (* (* b_2 (+ (* b_2 b_2) 0)) (/ b_2 (+ (* b_2 b_2) (* a c)))) (neg (* (* a c) (* (* a c) (/ 1 (+ (* a c) (+ (* b_2 b_2) 0)))))))
(* (* a c) (/ 1 (+ (* a c) (+ (* b_2 b_2) 0))))
(+ (neg b_2) (sqrt (+ (* (* b_2 (+ (* b_2 b_2) 0)) (/ b_2 (+ (* b_2 b_2) (* a c)))) (neg (* (* a c) (* (* a c) (/ 1 (+ (* a c) (+ (* b_2 b_2) 0)))))))))
(/ (+ (neg b_2) (sqrt (+ (* (* b_2 (+ (* b_2 b_2) 0)) (/ b_2 (+ (* b_2 b_2) (* a c)))) (neg (* (* a c) (* (* a c) (/ 1 (+ (* a c) (+ (* b_2 b_2) 0))))))))) a)
(* (/ 1 a) (+ b_2 b_2))
(/ 1 a)
(+ b_2 b_2)
(/ 1 (/ -1/2 b_2))
(/ (/ 1 (/ -1/2 b_2)) a)
(/ -1/2 b_2)
(+ (* (* b_2 (+ (* b_2 b_2) 0)) (/ b_2 (+ (* b_2 b_2) (* a c)))) (neg (* (* a (* a c)) (* c (/ 1 (+ (* a c) (+ (* b_2 b_2) 0)))))))
(* c (/ 1 (+ (* a c) (+ (* b_2 b_2) 0))))
(+ (neg b_2) (sqrt (+ (* (* b_2 (+ (* b_2 b_2) 0)) (/ b_2 (+ (* b_2 b_2) (* a c)))) (neg (* (* a (* a c)) (* c (/ 1 (+ (* a c) (+ (* b_2 b_2) 0)))))))))
(/ (+ (neg b_2) (sqrt (+ (* (* b_2 (+ (* b_2 b_2) 0)) (/ b_2 (+ (* b_2 b_2) (* a c)))) (neg (* (* a (* a c)) (* c (/ 1 (+ (* a c) (+ (* b_2 b_2) 0))))))))) a)
(sqrt (+ (* (* b_2 (+ (* b_2 b_2) 0)) (/ b_2 (+ (* b_2 b_2) (* a c)))) (neg (* (* a c) (* (* a c) (/ 1 (+ (* a c) (+ (* b_2 b_2) 0))))))))
(/ b_2 (+ (* b_2 b_2) (* a c)))
(sqrt (+ (* (* b_2 (+ (* b_2 b_2) 0)) (/ b_2 (+ (* b_2 b_2) (* a c)))) (neg (* (* a (* a c)) (* c (/ 1 (+ (* a c) (+ (* b_2 b_2) 0))))))))
(* (* a (* a c)) (* c (/ 1 (+ (* a c) (+ (* b_2 b_2) 0)))))
Outputs
(+.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 a c)))
(+.f64 #s(literal 0 binary64) (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c)))
(+.f64 (/.f64 (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 (*.f64 a (*.f64 a c)) (/.f64 c (-.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (*.f64 a c))))))
(+.f64 (*.f64 (*.f64 a (*.f64 a c)) (/.f64 c (-.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (*.f64 a c))))) (/.f64 (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 b_2 b_2 (*.f64 a c))))
(exp.f64 (log.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c)) (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c)))) #s(literal 1/2 binary64)))
(fabs.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c)))
(-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 a c) (fma.f64 b_2 b_2 #s(literal 0 binary64))))
(-.f64 (/.f64 (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 b_2 b_2 (*.f64 a c))) (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (fma.f64 b_2 b_2 (*.f64 a c))))
(-.f64 (/.f64 (/.f64 (*.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c)))) (/.f64 (-.f64 (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) (*.f64 a c))) (fma.f64 b_2 b_2 (*.f64 a c)))) (/.f64 (*.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (fma.f64 b_2 b_2 (*.f64 a c))) (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (fma.f64 b_2 b_2 (*.f64 a c)))) (/.f64 (-.f64 (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) (*.f64 a c))) (fma.f64 b_2 b_2 (*.f64 a c)))))
(-.f64 (fma.f64 b_2 (/.f64 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 0 binary64)) (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (fma.f64 b_2 b_2 (*.f64 a c))))
(-.f64 (/.f64 (fma.f64 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 a (*.f64 c (*.f64 a c)) (*.f64 b_2 (*.f64 b_2 (*.f64 a c)))))) (/.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 a (*.f64 c (*.f64 a c)) (*.f64 b_2 (*.f64 b_2 (*.f64 a c)))))))
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(*.f64 (/.f64 (*.f64 a (*.f64 a c)) (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (-.f64 (*.f64 a c) (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (/.f64 c (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a c) (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(*.f64 (/.f64 (*.f64 a a) (fma.f64 b_2 b_2 (*.f64 a c))) (/.f64 (*.f64 c c) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 a a) (fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))))) (/.f64 (*.f64 c c) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))))
(*.f64 (/.f64 (*.f64 a a) (fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))))) (/.f64 (*.f64 c c) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c)) (*.f64 a (*.f64 c (*.f64 a c)))))))
(*.f64 (/.f64 (*.f64 a a) (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c)))) (/.f64 (*.f64 c c) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c)))))
(*.f64 (/.f64 (*.f64 a a) (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (-.f64 (*.f64 a c) (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (/.f64 (*.f64 c c) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a c) (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(*.f64 (/.f64 (*.f64 c c) (fma.f64 b_2 b_2 (*.f64 a c))) (/.f64 (*.f64 a a) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 c c) (fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))))) (/.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))))
(*.f64 (/.f64 (*.f64 c c) (fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))))) (/.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c)) (*.f64 a (*.f64 c (*.f64 a c)))))))
(*.f64 (/.f64 (*.f64 c c) (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c)))) (/.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c)))))
(*.f64 (/.f64 (*.f64 c c) (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (-.f64 (*.f64 a c) (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (/.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a c) (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(*.f64 (/.f64 (*.f64 (*.f64 a c) c) (fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))))) (/.f64 a (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))))
(*.f64 (/.f64 (*.f64 (*.f64 a c) c) (fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))))) (/.f64 a (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c)) (*.f64 a (*.f64 c (*.f64 a c)))))))
(*.f64 (/.f64 (*.f64 (*.f64 a c) c) (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c)))) (/.f64 a (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c)))))
(*.f64 (/.f64 (*.f64 (*.f64 a c) c) (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (-.f64 (*.f64 a c) (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (/.f64 a (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a c) (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(*.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))))
(*.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c)) (*.f64 a (*.f64 c (*.f64 a c)))))))
(*.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c)))))
(*.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (-.f64 (*.f64 a c) (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a c) (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(*.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 b_2 b_2 (*.f64 a c))))

simplify795.0ms (6.6%)

Memory
-99.1MiB live, 1 029.1MiB allocated
Algorithm
egg-herbie
Rules
7 296×accelerator-lowering-fma.f32
7 296×accelerator-lowering-fma.f64
6 224×*-lowering-*.f32
6 224×*-lowering-*.f64
5 328×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0108712048
1353110301
082639972
Stop Event
iter limit
node limit
Counts
528 → 528
Calls
Call 1
Inputs
(* -1 (* a c))
(- (pow b_2 2) (* a c))
(- (pow b_2 2) (* a c))
(- (pow b_2 2) (* a c))
(pow b_2 2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (- (+ 1 (* -1 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))) (pow b_2 4)))) (/ (* a c) (pow b_2 2))))
(* (pow b_2 2) (- (+ 1 (* -1 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))) (pow b_2 4)))) (/ (* a c) (pow b_2 2))))
(pow b_2 2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (- (+ 1 (* -1 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))) (pow b_2 4)))) (/ (* a c) (pow b_2 2))))
(* (pow b_2 2) (- (+ 1 (* -1 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))) (pow b_2 4)))) (/ (* a c) (pow b_2 2))))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) c)) (pow b_2 2))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) c)) (pow b_2 2))
(* -1 (* a c))
(* a (- (/ (pow b_2 2) a) c))
(* a (- (+ (* -1 (/ (pow b_2 4) (* (pow a 2) c))) (+ (/ (pow b_2 2) a) (/ (pow b_2 4) (* (pow a 2) c)))) c))
(* a (- (+ (* -1 (/ (pow b_2 4) (* (pow a 2) c))) (+ (/ (pow b_2 2) a) (/ (pow b_2 4) (* (pow a 2) c)))) c))
(* -1 (* a c))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(* -1 (* a (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)) a)) (pow b_2 2)) a)) (* -1 c))))
(* -1 (* a (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)) a)) (pow b_2 2)) a)) (* -1 c))))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* c (- (* -1 (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) a)) (pow b_2 2))
(+ (* c (- (* -1 (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) a)) (pow b_2 2))
(* -1 (* a c))
(* c (- (/ (pow b_2 2) c) a))
(* c (- (+ (* -1 (/ (pow b_2 4) (* a (pow c 2)))) (+ (/ (pow b_2 2) c) (/ (pow b_2 4) (* a (pow c 2))))) a))
(* c (- (+ (* -1 (/ (pow b_2 4) (* a (pow c 2)))) (+ (/ (pow b_2 2) c) (/ (pow b_2 4) (* a (pow c 2))))) a))
(* -1 (* a c))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(* -1 (* c (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a)) c)) (pow b_2 2)) c)) (* -1 a))))
(* -1 (* c (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a)) c)) (pow b_2 2)) c)) (* -1 a))))
(/ (* a c) (pow b_2 2))
(* a (+ (* -1 (/ (* a (pow c 2)) (pow b_2 4))) (/ c (pow b_2 2))))
(* a (+ (* a (- (/ (* a (pow c 3)) (pow b_2 6)) (/ (pow c 2) (pow b_2 4)))) (/ c (pow b_2 2))))
(* a (+ (* a (- (* a (- (* -1 (/ (* a (pow c 4)) (pow b_2 8))) (* -1 (/ (pow c 3) (pow b_2 6))))) (/ (pow c 2) (pow b_2 4)))) (/ c (pow b_2 2))))
1
(+ 1 (* -1 (/ (pow b_2 2) (* a c))))
(- (+ 1 (/ (pow b_2 4) (* (pow a 2) (pow c 2)))) (/ (pow b_2 2) (* a c)))
(- (+ 1 (* -1 (/ (pow b_2 6) (* (pow a 3) (pow c 3))))) (+ (* -1 (/ (pow b_2 4) (* (pow a 2) (pow c 2)))) (/ (pow b_2 2) (* a c))))
1
(+ 1 (* -1 (/ (pow b_2 2) (* a c))))
(+ 1 (* -1 (/ (+ (* -1 (/ (pow b_2 4) (* a (pow c 2)))) (/ (pow b_2 2) c)) a)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b_2 6) (* a (pow c 3)))) (/ (pow b_2 4) (pow c 2))) a)) (/ (pow b_2 2) c)) a)))
(/ (* a c) (pow b_2 2))
(* c (+ (* -1 (/ (* (pow a 2) c) (pow b_2 4))) (/ a (pow b_2 2))))
(* c (+ (* c (- (/ (* (pow a 3) c) (pow b_2 6)) (/ (pow a 2) (pow b_2 4)))) (/ a (pow b_2 2))))
(* c (+ (* c (- (* c (- (* -1 (/ (* (pow a 4) c) (pow b_2 8))) (* -1 (/ (pow a 3) (pow b_2 6))))) (/ (pow a 2) (pow b_2 4)))) (/ a (pow b_2 2))))
1
(+ 1 (* -1 (/ (pow b_2 2) (* a c))))
(- (+ 1 (/ (pow b_2 4) (* (pow a 2) (pow c 2)))) (/ (pow b_2 2) (* a c)))
(- (+ 1 (* -1 (/ (pow b_2 6) (* (pow a 3) (pow c 3))))) (+ (* -1 (/ (pow b_2 4) (* (pow a 2) (pow c 2)))) (/ (pow b_2 2) (* a c))))
1
(+ 1 (* -1 (/ (pow b_2 2) (* a c))))
(+ 1 (* -1 (/ (+ (* -1 (/ (pow b_2 4) (* (pow a 2) c))) (/ (pow b_2 2) a)) c)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b_2 6) (* (pow a 3) c))) (/ (pow b_2 4) (pow a 2))) c)) (/ (pow b_2 2) a)) c)))
1
(+ 1 (* -1 (/ (pow b_2 2) (* a c))))
(+ 1 (* (pow b_2 2) (- (/ (pow b_2 2) (* (pow a 2) (pow c 2))) (/ 1 (* a c)))))
(+ 1 (* (pow b_2 2) (- (* (pow b_2 2) (+ (* -1 (/ (pow b_2 2) (* (pow a 3) (pow c 3)))) (/ 1 (* (pow a 2) (pow c 2))))) (/ 1 (* a c)))))
(/ (* a c) (pow b_2 2))
(/ (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* a c)) (pow b_2 2))
(/ (- (+ (* a c) (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (pow b_2 2))
(/ (- (+ (* -1 (/ (* (pow a 4) (pow c 4)) (pow b_2 6))) (* a c)) (+ (* -1 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) (pow b_2 2))
(/ (* a c) (pow b_2 2))
(/ (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* a c)) (pow b_2 2))
(/ (- (+ (* a c) (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (pow b_2 2))
(/ (- (+ (* -1 (/ (* (pow a 4) (pow c 4)) (pow b_2 6))) (* a c)) (+ (* -1 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) (pow b_2 2))
(* (sqrt (* a c)) (sqrt -1))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(* -1/2 (/ (* a c) b_2))
(/ (+ (* -1/2 (* a c)) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 2))) (* -1/4 (/ (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 2))) (+ (* -1/2 (/ (+ (* 1/4 (* (pow a 2) (* (pow c 2) (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))))))) (* 1/4 (pow (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) 2))) (pow b_2 6))) (* -1/4 (/ (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (pow b_2 4)))))) b_2)
(* -2 b_2)
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4)))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* -1/4 (/ (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (pow b_2 6))))))))
(* -1/2 (/ (* a c) b_2))
(* a (+ (* -1/2 (/ c b_2)) (* -1/2 (/ (* a (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) b_2))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/2 (/ (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) b_2)) (* -1/4 (/ (* a (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))))) (pow b_2 3)))))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/2 (/ (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) b_2)) (* a (+ (* -1/2 (/ (* a (+ (* 1/4 (/ (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) (pow b_2 4))) (* 1/4 (/ (pow (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) 2) (pow b_2 2))))) b_2)) (* -1/4 (/ (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) (pow b_2 3)))))))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c))))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1/2 (/ (* a c) b_2))
(* c (+ (* -1/2 (/ a b_2)) (* -1/2 (/ (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) b_2))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/2 (/ (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) b_2)) (* -1/4 (/ (* a (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))))) (pow b_2 3)))))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/2 (/ (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) b_2)) (* c (+ (* -1/2 (/ (* c (+ (* 1/4 (/ (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) (pow b_2 4))) (* 1/4 (/ (pow (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) 2) (pow b_2 2))))) b_2)) (* -1/4 (/ (* a (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) (pow b_2 3)))))))))
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a)) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a))))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(* -1/2 (/ c b_2))
(/ (+ (* -1/2 c) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (* a (pow b_2 2))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (* a (pow b_2 2)))) (* -1/4 (/ (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))))) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (* a (pow b_2 2)))) (+ (* -1/2 (/ (+ (* 1/4 (* (pow a 2) (* (pow c 2) (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))))))) (* 1/4 (pow (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) 2))) (* a (pow b_2 6)))) (* -1/4 (/ (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))))) (pow b_2 4)))))) b_2)
(* -2 (/ b_2 a))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (* a (pow b_2 4)))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (* a (pow b_2 4)))) (+ (* -1/4 (/ (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))))) (pow b_2 6))) (* 2 (/ 1 a)))))))
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/2 (/ (* a (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) b_2)))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/2 (/ (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) b_2)) (* -1/4 (/ (* a (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))))) (pow b_2 3))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/2 (/ (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) b_2)) (* a (+ (* -1/2 (/ (* a (+ (* 1/4 (/ (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) (pow b_2 4))) (* 1/4 (/ (pow (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) 2) (pow b_2 2))))) b_2)) (* -1/4 (/ (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) (pow b_2 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)))))) a))) a)))
(* -1/2 (/ c b_2))
(* c (- (* -1/2 (/ (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) (* a b_2))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/2 (/ (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) (* a b_2))) (* -1/4 (/ (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) (pow b_2 3))))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/2 (/ (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) (* a b_2))) (* c (+ (* -1/2 (/ (* c (+ (* 1/4 (/ (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) (pow b_2 4))) (* 1/4 (/ (pow (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) 2) (pow b_2 2))))) (* a b_2))) (* -1/4 (/ (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) (pow b_2 3))))))) (* 1/2 (/ 1 b_2))))
(* (sqrt (/ c a)) (sqrt -1))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a)) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a))))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(* 2 b_2)
(* 2 b_2)
(* 2 b_2)
(* 2 b_2)
(* 2 b_2)
(* 2 b_2)
(* 2 b_2)
(* 2 b_2)
(* 2 b_2)
(* 2 b_2)
(* 2 b_2)
(* 2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(/ -1/2 b_2)
(/ -1/2 b_2)
(/ -1/2 b_2)
(/ -1/2 b_2)
(/ -1/2 b_2)
(/ -1/2 b_2)
(/ -1/2 b_2)
(/ -1/2 b_2)
(/ -1/2 b_2)
(/ -1/2 b_2)
(/ -1/2 b_2)
(/ -1/2 b_2)
(* -1 (* a c))
(- (pow b_2 2) (* a c))
(- (pow b_2 2) (* a c))
(- (pow b_2 2) (* a c))
(pow b_2 2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (- (+ 1 (* -1 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))) (pow b_2 4)))) (/ (* a c) (pow b_2 2))))
(* (pow b_2 2) (- (+ 1 (* -1 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))) (pow b_2 4)))) (/ (* a c) (pow b_2 2))))
(pow b_2 2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (- (+ 1 (* -1 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))) (pow b_2 4)))) (/ (* a c) (pow b_2 2))))
(* (pow b_2 2) (- (+ 1 (* -1 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))) (pow b_2 4)))) (/ (* a c) (pow b_2 2))))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) c)) (pow b_2 2))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) c)) (pow b_2 2))
(* -1 (* a c))
(* a (- (/ (pow b_2 2) a) c))
(* a (- (+ (* -1 (/ (pow b_2 4) (* (pow a 2) c))) (+ (/ (pow b_2 2) a) (/ (pow b_2 4) (* (pow a 2) c)))) c))
(* a (- (+ (* -1 (/ (pow b_2 4) (* (pow a 2) c))) (+ (/ (pow b_2 2) a) (/ (pow b_2 4) (* (pow a 2) c)))) c))
(* -1 (* a c))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(* -1 (* a (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)) a)) (pow b_2 2)) a)) (* -1 c))))
(* -1 (* a (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)) a)) (pow b_2 2)) a)) (* -1 c))))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* c (- (* -1 (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) a)) (pow b_2 2))
(+ (* c (- (* -1 (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) a)) (pow b_2 2))
(* -1 (* a c))
(* c (- (/ (pow b_2 2) c) a))
(* c (- (+ (* -1 (/ (pow b_2 4) (* a (pow c 2)))) (+ (/ (pow b_2 2) c) (/ (pow b_2 4) (* a (pow c 2))))) a))
(* c (- (+ (* -1 (/ (pow b_2 4) (* a (pow c 2)))) (+ (/ (pow b_2 2) c) (/ (pow b_2 4) (* a (pow c 2))))) a))
(* -1 (* a c))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(* -1 (* c (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a)) c)) (pow b_2 2)) c)) (* -1 a))))
(* -1 (* c (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a)) c)) (pow b_2 2)) c)) (* -1 a))))
(/ c (pow b_2 2))
(* c (+ (* -1 (/ (* a c) (pow b_2 4))) (/ 1 (pow b_2 2))))
(* c (+ (* c (- (/ (* (pow a 2) c) (pow b_2 6)) (/ a (pow b_2 4)))) (/ 1 (pow b_2 2))))
(* c (+ (* c (- (* c (- (* -1 (/ (* (pow a 3) c) (pow b_2 8))) (* -1 (/ (pow a 2) (pow b_2 6))))) (/ a (pow b_2 4)))) (/ 1 (pow b_2 2))))
(/ 1 a)
(+ (* -1 (/ (pow b_2 2) (* (pow a 2) c))) (/ 1 a))
(- (+ (/ 1 a) (/ (pow b_2 4) (* (pow a 3) (pow c 2)))) (/ (pow b_2 2) (* (pow a 2) c)))
(- (+ (* -1 (/ (pow b_2 6) (* (pow a 4) (pow c 3)))) (/ 1 a)) (+ (* -1 (/ (pow b_2 4) (* (pow a 3) (pow c 2)))) (/ (pow b_2 2) (* (pow a 2) c))))
(/ 1 a)
(+ (* -1 (/ (pow b_2 2) (* (pow a 2) c))) (/ 1 a))
(+ (* -1 (/ (- (* -1 (/ (pow b_2 4) (* (pow a 3) c))) (* -1 (/ (pow b_2 2) (pow a 2)))) c)) (/ 1 a))
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow b_2 6) (* (pow a 4) c))) (* -1 (/ (pow b_2 4) (pow a 3)))) c)) (* -1 (/ (pow b_2 2) (pow a 2)))) c)) (/ 1 a))
(/ c (pow b_2 2))
(+ (* -1 (/ (* a (pow c 2)) (pow b_2 4))) (/ c (pow b_2 2)))
(+ (* a (- (/ (* a (pow c 3)) (pow b_2 6)) (/ (pow c 2) (pow b_2 4)))) (/ c (pow b_2 2)))
(+ (* a (- (* a (- (* -1 (/ (* a (pow c 4)) (pow b_2 8))) (* -1 (/ (pow c 3) (pow b_2 6))))) (/ (pow c 2) (pow b_2 4)))) (/ c (pow b_2 2)))
(/ 1 a)
(/ (+ 1 (* -1 (/ (pow b_2 2) (* a c)))) a)
(/ (- (+ 1 (/ (pow b_2 4) (* (pow a 2) (pow c 2)))) (/ (pow b_2 2) (* a c))) a)
(/ (- (+ 1 (* -1 (/ (pow b_2 6) (* (pow a 3) (pow c 3))))) (+ (* -1 (/ (pow b_2 4) (* (pow a 2) (pow c 2)))) (/ (pow b_2 2) (* a c)))) a)
(/ 1 a)
(* -1 (/ (- (/ (pow b_2 2) (* a c)) 1) a))
(* -1 (/ (- (* -1 (/ (- (/ (pow b_2 4) (* a (pow c 2))) (/ (pow b_2 2) c)) a)) 1) a))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 6) (* a (pow c 3))) (/ (pow b_2 4) (pow c 2))) a)) (/ (pow b_2 2) c)) a)) 1) a))
(/ 1 a)
(+ (* -1 (/ (pow b_2 2) (* (pow a 2) c))) (/ 1 a))
(+ (* (pow b_2 2) (- (/ (pow b_2 2) (* (pow a 3) (pow c 2))) (/ 1 (* (pow a 2) c)))) (/ 1 a))
(+ (* (pow b_2 2) (- (* (pow b_2 2) (+ (* -1 (/ (pow b_2 2) (* (pow a 4) (pow c 3)))) (/ 1 (* (pow a 3) (pow c 2))))) (/ 1 (* (pow a 2) c)))) (/ 1 a))
(/ c (pow b_2 2))
(/ (+ c (* -1 (/ (* a (pow c 2)) (pow b_2 2)))) (pow b_2 2))
(/ (- (+ c (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (/ (* a (pow c 2)) (pow b_2 2))) (pow b_2 2))
(/ (- (+ c (* -1 (/ (* (pow a 3) (pow c 4)) (pow b_2 6)))) (+ (* -1 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (/ (* a (pow c 2)) (pow b_2 2)))) (pow b_2 2))
(/ c (pow b_2 2))
(/ (+ c (* -1 (/ (* a (pow c 2)) (pow b_2 2)))) (pow b_2 2))
(/ (- (+ c (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (/ (* a (pow c 2)) (pow b_2 2))) (pow b_2 2))
(/ (- (+ c (* -1 (/ (* (pow a 3) (pow c 4)) (pow b_2 6)))) (+ (* -1 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (/ (* a (pow c 2)) (pow b_2 2)))) (pow b_2 2))
(* (sqrt (* a c)) (sqrt -1))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(* -1/2 (/ (* a c) b_2))
(/ (+ (* -1/2 (* a c)) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 2))) (* -1/4 (/ (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 2))) (+ (* -1/2 (/ (+ (* 1/4 (* (pow a 2) (* (pow c 2) (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))))))) (* 1/4 (pow (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) 2))) (pow b_2 6))) (* -1/4 (/ (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (pow b_2 4)))))) b_2)
(* -2 b_2)
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4)))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* -1/4 (/ (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (pow b_2 6))))))))
(* -1/2 (/ (* a c) b_2))
(* a (+ (* -1/2 (/ c b_2)) (* -1/2 (/ (* a (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) b_2))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/2 (/ (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) b_2)) (* -1/4 (/ (* a (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))))) (pow b_2 3)))))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/2 (/ (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) b_2)) (* a (+ (* -1/2 (/ (* a (+ (* 1/4 (/ (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) (pow b_2 4))) (* 1/4 (/ (pow (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) 2) (pow b_2 2))))) b_2)) (* -1/4 (/ (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) (pow b_2 3)))))))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c))))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1/2 (/ (* a c) b_2))
(* c (+ (* -1/2 (/ a b_2)) (* -1/2 (/ (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) b_2))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/2 (/ (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) b_2)) (* -1/4 (/ (* a (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))))) (pow b_2 3)))))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/2 (/ (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) b_2)) (* c (+ (* -1/2 (/ (* c (+ (* 1/4 (/ (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) (pow b_2 4))) (* 1/4 (/ (pow (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) 2) (pow b_2 2))))) b_2)) (* -1/4 (/ (* a (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) (pow b_2 3)))))))))
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a)) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a))))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(* -1/2 (/ c b_2))
(/ (+ (* -1/2 c) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (* a (pow b_2 2))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (* a (pow b_2 2)))) (* -1/4 (/ (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))))) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (* a (pow b_2 2)))) (+ (* -1/2 (/ (+ (* 1/4 (* (pow a 2) (* (pow c 2) (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))))))) (* 1/4 (pow (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) 2))) (* a (pow b_2 6)))) (* -1/4 (/ (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))))) (pow b_2 4)))))) b_2)
(* -2 (/ b_2 a))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (* a (pow b_2 4)))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (* a (pow b_2 4)))) (+ (* -1/4 (/ (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))))) (pow b_2 6))) (* 2 (/ 1 a)))))))
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/2 (/ (* a (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) b_2)))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/2 (/ (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) b_2)) (* -1/4 (/ (* a (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))))) (pow b_2 3))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/2 (/ (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) b_2)) (* a (+ (* -1/2 (/ (* a (+ (* 1/4 (/ (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) (pow b_2 4))) (* 1/4 (/ (pow (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) 2) (pow b_2 2))))) b_2)) (* -1/4 (/ (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) (pow b_2 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)))))) a))) a)))
(* -1/2 (/ c b_2))
(* c (- (* -1/2 (/ (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) (* a b_2))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/2 (/ (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) (* a b_2))) (* -1/4 (/ (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) (pow b_2 3))))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/2 (/ (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) (* a b_2))) (* c (+ (* -1/2 (/ (* c (+ (* 1/4 (/ (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) (pow b_2 4))) (* 1/4 (/ (pow (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) 2) (pow b_2 2))))) (* a b_2))) (* -1/4 (/ (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) (pow b_2 3))))))) (* 1/2 (/ 1 b_2))))
(* (sqrt (/ c a)) (sqrt -1))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a)) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a))))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* (sqrt (* a c)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
b_2
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4))))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* -1/4 (/ (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (pow b_2 6)))))))
(* -1 b_2)
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4)))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* -1/4 (/ (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (pow b_2 6))))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/2 (/ (* a (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) b_2)))))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/2 (/ (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) b_2)) (* -1/4 (/ (* a (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))))) (pow b_2 3))))))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)))))) (pow a 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/2 (/ (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) b_2)))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/2 (/ (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) b_2)) (* -1/4 (/ (* a (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))))) (pow b_2 3))))))))
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a)) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a)) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a))))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a)))))) (pow c 3))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(/ b_2 (* a c))
(* b_2 (+ (* -1 (/ (pow b_2 2) (* (pow a 2) (pow c 2)))) (/ 1 (* a c))))
(* b_2 (+ (* (pow b_2 2) (- (/ (pow b_2 2) (* (pow a 3) (pow c 3))) (/ 1 (* (pow a 2) (pow c 2))))) (/ 1 (* a c))))
(* b_2 (+ (* (pow b_2 2) (- (* (pow b_2 2) (+ (* -1 (/ (pow b_2 2) (* (pow a 4) (pow c 4)))) (/ 1 (* (pow a 3) (pow c 3))))) (/ 1 (* (pow a 2) (pow c 2))))) (/ 1 (* a c))))
(/ 1 b_2)
(/ (+ 1 (* -1 (/ (* a c) (pow b_2 2)))) b_2)
(/ (- (+ 1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (/ (* a c) (pow b_2 2))) b_2)
(/ (- (+ 1 (* -1 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (/ (* a c) (pow b_2 2)))) b_2)
(/ 1 b_2)
(* -1 (/ (- (/ (* a c) (pow b_2 2)) 1) b_2))
(* -1 (/ (- (* -1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ 1 (* -1 (/ (* a c) (pow b_2 2))))) b_2))
(* -1 (/ (- (/ (* (pow a 3) (pow c 3)) (pow b_2 6)) (+ 1 (+ (* -1 (/ (* a c) (pow b_2 2))) (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))) b_2))
(/ 1 b_2)
(+ (* -1 (/ (* a c) (pow b_2 3))) (/ 1 b_2))
(+ (* a (- (/ (* a (pow c 2)) (pow b_2 5)) (/ c (pow b_2 3)))) (/ 1 b_2))
(+ (* a (- (* a (- (* -1 (/ (* a (pow c 3)) (pow b_2 7))) (* -1 (/ (pow c 2) (pow b_2 5))))) (/ c (pow b_2 3)))) (/ 1 b_2))
(/ b_2 (* a c))
(/ (+ (* -1 (/ (pow b_2 3) (* a (pow c 2)))) (/ b_2 c)) a)
(/ (- (+ (/ b_2 c) (/ (pow b_2 5) (* (pow a 2) (pow c 3)))) (/ (pow b_2 3) (* a (pow c 2)))) a)
(/ (- (+ (* -1 (/ (pow b_2 7) (* (pow a 3) (pow c 4)))) (/ b_2 c)) (+ (* -1 (/ (pow b_2 5) (* (pow a 2) (pow c 3)))) (/ (pow b_2 3) (* a (pow c 2))))) a)
(/ b_2 (* a c))
(* -1 (/ (+ (* -1 (/ b_2 c)) (/ (pow b_2 3) (* a (pow c 2)))) a))
(* -1 (/ (+ (* -1 (/ b_2 c)) (* -1 (/ (- (/ (pow b_2 5) (* a (pow c 3))) (/ (pow b_2 3) (pow c 2))) a))) a))
(* -1 (/ (+ (* -1 (/ b_2 c)) (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 7) (* a (pow c 4))) (/ (pow b_2 5) (pow c 3))) a)) (/ (pow b_2 3) (pow c 2))) a))) a))
(/ 1 b_2)
(+ (* -1 (/ (* a c) (pow b_2 3))) (/ 1 b_2))
(+ (* c (- (/ (* (pow a 2) c) (pow b_2 5)) (/ a (pow b_2 3)))) (/ 1 b_2))
(+ (* c (- (* c (- (* -1 (/ (* (pow a 3) c) (pow b_2 7))) (* -1 (/ (pow a 2) (pow b_2 5))))) (/ a (pow b_2 3)))) (/ 1 b_2))
(/ b_2 (* a c))
(/ (+ (* -1 (/ (pow b_2 3) (* (pow a 2) c))) (/ b_2 a)) c)
(/ (- (+ (/ b_2 a) (/ (pow b_2 5) (* (pow a 3) (pow c 2)))) (/ (pow b_2 3) (* (pow a 2) c))) c)
(/ (- (+ (* -1 (/ (pow b_2 7) (* (pow a 4) (pow c 3)))) (/ b_2 a)) (+ (* -1 (/ (pow b_2 5) (* (pow a 3) (pow c 2)))) (/ (pow b_2 3) (* (pow a 2) c)))) c)
(/ b_2 (* a c))
(* -1 (/ (+ (* -1 (/ b_2 a)) (/ (pow b_2 3) (* (pow a 2) c))) c))
(* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (- (/ (pow b_2 5) (* (pow a 3) c)) (/ (pow b_2 3) (pow a 2))) c))) c))
(* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 7) (* (pow a 4) c)) (/ (pow b_2 5) (pow a 3))) c)) (/ (pow b_2 3) (pow a 2))) c))) c))
(* (sqrt (* a c)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
b_2
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4))))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* -1/4 (/ (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (pow b_2 6)))))))
(* -1 b_2)
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4)))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* -1/4 (/ (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (pow b_2 6))))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/2 (/ (* a (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) b_2)))))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/2 (/ (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) b_2)) (* -1/4 (/ (* a (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))))) (pow b_2 3))))))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)))))) (pow a 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/2 (/ (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) b_2)))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/2 (/ (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) b_2)) (* -1/4 (/ (* a (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))))) (pow b_2 3))))))))
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a)) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a)) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a))))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a)))))) (pow c 3))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(/ (* (pow a 2) (pow c 2)) (pow b_2 2))
(* (pow a 2) (+ (* -1 (/ (* a (pow c 3)) (pow b_2 4))) (/ (pow c 2) (pow b_2 2))))
(* (pow a 2) (+ (* a (- (/ (* a (pow c 4)) (pow b_2 6)) (/ (pow c 3) (pow b_2 4)))) (/ (pow c 2) (pow b_2 2))))
(* (pow a 2) (+ (* a (- (* a (- (* -1 (/ (* a (pow c 5)) (pow b_2 8))) (* -1 (/ (pow c 4) (pow b_2 6))))) (/ (pow c 3) (pow b_2 4)))) (/ (pow c 2) (pow b_2 2))))
(* a c)
(* a (+ c (* -1 (/ (pow b_2 2) a))))
(* a (- (+ c (/ (pow b_2 4) (* (pow a 2) c))) (/ (pow b_2 2) a)))
(* a (- (+ c (* -1 (/ (pow b_2 6) (* (pow a 3) (pow c 2))))) (+ (* -1 (/ (pow b_2 4) (* (pow a 2) c))) (/ (pow b_2 2) a))))
(* a c)
(* -1 (* a (+ (* -1 c) (/ (pow b_2 2) a))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (- (/ (pow b_2 4) (* a c)) (pow b_2 2)) a)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 6) (* a (pow c 2))) (/ (pow b_2 4) c)) a)) (pow b_2 2)) a)))))
(/ (* (pow a 2) (pow c 2)) (pow b_2 2))
(* (pow c 2) (+ (* -1 (/ (* (pow a 3) c) (pow b_2 4))) (/ (pow a 2) (pow b_2 2))))
(* (pow c 2) (+ (* c (- (/ (* (pow a 4) c) (pow b_2 6)) (/ (pow a 3) (pow b_2 4)))) (/ (pow a 2) (pow b_2 2))))
(* (pow c 2) (+ (* c (- (* c (- (* -1 (/ (* (pow a 5) c) (pow b_2 8))) (* -1 (/ (pow a 4) (pow b_2 6))))) (/ (pow a 3) (pow b_2 4)))) (/ (pow a 2) (pow b_2 2))))
(* a c)
(* c (+ a (* -1 (/ (pow b_2 2) c))))
(* c (- (+ a (/ (pow b_2 4) (* a (pow c 2)))) (/ (pow b_2 2) c)))
(* c (- (+ a (* -1 (/ (pow b_2 6) (* (pow a 2) (pow c 3))))) (+ (* -1 (/ (pow b_2 4) (* a (pow c 2)))) (/ (pow b_2 2) c))))
(* a c)
(* -1 (* c (+ (* -1 a) (/ (pow b_2 2) c))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (- (/ (pow b_2 4) (* a c)) (pow b_2 2)) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 6) (* (pow a 2) c)) (/ (pow b_2 4) a)) c)) (pow b_2 2)) c)))))
(* a c)
(+ (* -1 (pow b_2 2)) (* a c))
(+ (* a c) (* (pow b_2 2) (- (/ (pow b_2 2) (* a c)) 1)))
(+ (* a c) (* (pow b_2 2) (- (* (pow b_2 2) (+ (* -1 (/ (pow b_2 2) (* (pow a 2) (pow c 2)))) (/ 1 (* a c)))) 1)))
(/ (* (pow a 2) (pow c 2)) (pow b_2 2))
(/ (+ (* -1 (/ (* (pow a 3) (pow c 3)) (pow b_2 2))) (* (pow a 2) (pow c 2))) (pow b_2 2))
(/ (- (+ (* (pow a 2) (pow c 2)) (/ (* (pow a 4) (pow c 4)) (pow b_2 4))) (/ (* (pow a 3) (pow c 3)) (pow b_2 2))) (pow b_2 2))
(/ (- (+ (* -1 (/ (* (pow a 5) (pow c 5)) (pow b_2 6))) (* (pow a 2) (pow c 2))) (+ (* -1 (/ (* (pow a 4) (pow c 4)) (pow b_2 4))) (/ (* (pow a 3) (pow c 3)) (pow b_2 2)))) (pow b_2 2))
(/ (* (pow a 2) (pow c 2)) (pow b_2 2))
(/ (+ (* -1 (/ (* (pow a 3) (pow c 3)) (pow b_2 2))) (* (pow a 2) (pow c 2))) (pow b_2 2))
(/ (- (+ (* (pow a 2) (pow c 2)) (/ (* (pow a 4) (pow c 4)) (pow b_2 4))) (/ (* (pow a 3) (pow c 3)) (pow b_2 2))) (pow b_2 2))
(/ (- (+ (* -1 (/ (* (pow a 5) (pow c 5)) (pow b_2 6))) (* (pow a 2) (pow c 2))) (+ (* -1 (/ (* (pow a 4) (pow c 4)) (pow b_2 4))) (/ (* (pow a 3) (pow c 3)) (pow b_2 2)))) (pow b_2 2))
Outputs
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 a c))
(- (pow b_2 2) (* a c))
(fma.f64 a (-.f64 #s(literal 0 binary64) c) (*.f64 b_2 b_2))
(- (pow b_2 2) (* a c))
(fma.f64 a (-.f64 #s(literal 0 binary64) c) (*.f64 b_2 b_2))
(- (pow b_2 2) (* a c))
(fma.f64 a (-.f64 #s(literal 0 binary64) c) (*.f64 b_2 b_2))
(pow b_2 2)
(*.f64 b_2 b_2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(*.f64 (*.f64 b_2 b_2) (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 c (*.f64 b_2 b_2)) #s(literal 1 binary64)))
(* (pow b_2 2) (- (+ 1 (* -1 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))) (pow b_2 4)))) (/ (* a c) (pow b_2 2))))
(*.f64 (*.f64 b_2 b_2) (+.f64 (/.f64 #s(literal 0 binary64) (pow.f64 b_2 #s(literal 4 binary64))) (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 c (*.f64 b_2 b_2)) #s(literal 1 binary64))))
(* (pow b_2 2) (- (+ 1 (* -1 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))) (pow b_2 4)))) (/ (* a c) (pow b_2 2))))
(*.f64 (*.f64 b_2 b_2) (+.f64 (/.f64 #s(literal 0 binary64) (pow.f64 b_2 #s(literal 4 binary64))) (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 c (*.f64 b_2 b_2)) #s(literal 1 binary64))))
(pow b_2 2)
(*.f64 b_2 b_2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(*.f64 (*.f64 b_2 b_2) (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 c (*.f64 b_2 b_2)) #s(literal 1 binary64)))
(* (pow b_2 2) (- (+ 1 (* -1 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))) (pow b_2 4)))) (/ (* a c) (pow b_2 2))))
(*.f64 (*.f64 b_2 b_2) (+.f64 (/.f64 #s(literal 0 binary64) (pow.f64 b_2 #s(literal 4 binary64))) (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 c (*.f64 b_2 b_2)) #s(literal 1 binary64))))
(* (pow b_2 2) (- (+ 1 (* -1 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))) (pow b_2 4)))) (/ (* a c) (pow b_2 2))))
(*.f64 (*.f64 b_2 b_2) (+.f64 (/.f64 #s(literal 0 binary64) (pow.f64 b_2 #s(literal 4 binary64))) (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 c (*.f64 b_2 b_2)) #s(literal 1 binary64))))
(pow b_2 2)
(*.f64 b_2 b_2)
(+ (* -1 (* a c)) (pow b_2 2))
(fma.f64 a (-.f64 #s(literal 0 binary64) c) (*.f64 b_2 b_2))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) c)) (pow b_2 2))
(fma.f64 a (-.f64 (*.f64 a #s(literal 0 binary64)) c) (*.f64 b_2 b_2))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) c)) (pow b_2 2))
(fma.f64 a (-.f64 (*.f64 a #s(literal 0 binary64)) c) (*.f64 b_2 b_2))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 a c))
(* a (- (/ (pow b_2 2) a) c))
(*.f64 a (-.f64 (/.f64 (*.f64 b_2 b_2) a) c))
(* a (- (+ (* -1 (/ (pow b_2 4) (* (pow a 2) c))) (+ (/ (pow b_2 2) a) (/ (pow b_2 4) (* (pow a 2) c)))) c))
(*.f64 a (-.f64 (+.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 c (*.f64 a a))) (-.f64 (/.f64 (*.f64 b_2 b_2) a) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 c (*.f64 a a))))) c))
(* a (- (+ (* -1 (/ (pow b_2 4) (* (pow a 2) c))) (+ (/ (pow b_2 2) a) (/ (pow b_2 4) (* (pow a 2) c)))) c))
(*.f64 a (-.f64 (+.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 c (*.f64 a a))) (-.f64 (/.f64 (*.f64 b_2 b_2) a) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 c (*.f64 a a))))) c))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 a c))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(-.f64 #s(literal 0 binary64) (*.f64 a (-.f64 c (/.f64 (*.f64 b_2 b_2) a))))
(* -1 (* a (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)) a)) (pow b_2 2)) a)) (* -1 c))))
(*.f64 (+.f64 (/.f64 (fma.f64 b_2 (-.f64 #s(literal 0 binary64) b_2) (/.f64 #s(literal 0 binary64) a)) a) c) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)) a)) (pow b_2 2)) a)) (* -1 c))))
(*.f64 (+.f64 (/.f64 (fma.f64 b_2 (-.f64 #s(literal 0 binary64) b_2) (/.f64 #s(literal 0 binary64) a)) a) c) (-.f64 #s(literal 0 binary64) a))
(pow b_2 2)
(*.f64 b_2 b_2)
(+ (* -1 (* a c)) (pow b_2 2))
(fma.f64 a (-.f64 #s(literal 0 binary64) c) (*.f64 b_2 b_2))
(+ (* c (- (* -1 (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) a)) (pow b_2 2))
(fma.f64 c (fma.f64 c #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) a)) (*.f64 b_2 b_2))
(+ (* c (- (* -1 (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) a)) (pow b_2 2))
(fma.f64 c (fma.f64 c #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) a)) (*.f64 b_2 b_2))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 a c))
(* c (- (/ (pow b_2 2) c) a))
(*.f64 c (-.f64 (/.f64 (*.f64 b_2 b_2) c) a))
(* c (- (+ (* -1 (/ (pow b_2 4) (* a (pow c 2)))) (+ (/ (pow b_2 2) c) (/ (pow b_2 4) (* a (pow c 2))))) a))
(*.f64 c (-.f64 (+.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 a (*.f64 c c))) (-.f64 (/.f64 (*.f64 b_2 b_2) c) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 a (*.f64 c c))))) a))
(* c (- (+ (* -1 (/ (pow b_2 4) (* a (pow c 2)))) (+ (/ (pow b_2 2) c) (/ (pow b_2 4) (* a (pow c 2))))) a))
(*.f64 c (-.f64 (+.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 a (*.f64 c c))) (-.f64 (/.f64 (*.f64 b_2 b_2) c) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 a (*.f64 c c))))) a))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 a c))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(-.f64 #s(literal 0 binary64) (*.f64 c (-.f64 a (/.f64 (*.f64 b_2 b_2) c))))
(* -1 (* c (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a)) c)) (pow b_2 2)) c)) (* -1 a))))
(*.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (/.f64 (fma.f64 b_2 b_2 (/.f64 #s(literal 0 binary64) c)) (-.f64 #s(literal 0 binary64) c)) a))
(* -1 (* c (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a)) c)) (pow b_2 2)) c)) (* -1 a))))
(*.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (/.f64 (fma.f64 b_2 b_2 (/.f64 #s(literal 0 binary64) c)) (-.f64 #s(literal 0 binary64) c)) a))
(/ (* a c) (pow b_2 2))
(/.f64 (*.f64 a c) (*.f64 b_2 b_2))
(* a (+ (* -1 (/ (* a (pow c 2)) (pow b_2 4))) (/ c (pow b_2 2))))
(*.f64 a (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (*.f64 c c) (pow.f64 b_2 #s(literal 4 binary64))) (/.f64 c (*.f64 b_2 b_2))))
(* a (+ (* a (- (/ (* a (pow c 3)) (pow b_2 6)) (/ (pow c 2) (pow b_2 4)))) (/ c (pow b_2 2))))
(*.f64 a (fma.f64 a (-.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (pow.f64 b_2 #s(literal 6 binary64))) (/.f64 (*.f64 c c) (pow.f64 b_2 #s(literal 4 binary64)))) (/.f64 c (*.f64 b_2 b_2))))
(* a (+ (* a (- (* a (- (* -1 (/ (* a (pow c 4)) (pow b_2 8))) (* -1 (/ (pow c 3) (pow b_2 6))))) (/ (pow c 2) (pow b_2 4)))) (/ c (pow b_2 2))))
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(* (sqrt (/ c a)) (sqrt -1))
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(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
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(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
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(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)))))) a))) a)))
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(* -1/2 (/ c b_2))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(* c (- (* -1/2 (/ (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) (* a b_2))) (* 1/2 (/ 1 b_2))))
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(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
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(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
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(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a)) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
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(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
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(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
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(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a))))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
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(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(fma.f64 (*.f64 b_2 b_2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b_2 b_2) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
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b_2
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(*.f64 b_2 (fma.f64 (/.f64 (*.f64 a c) (*.f64 b_2 b_2)) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4))))))
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(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* -1/4 (/ (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (pow b_2 6)))))))
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(* -1 b_2)
(-.f64 #s(literal 0 binary64) b_2)
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 b_2 b_2)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4)))))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 a (/.f64 c (*.f64 b_2 b_2)) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a a)) (*.f64 c c) #s(literal 0 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* -1/4 (/ (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (pow b_2 6))))))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 a (/.f64 c (*.f64 b_2 b_2)) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a a)) (*.f64 c c) #s(literal 0 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 a c) (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a a)) (*.f64 c c) #s(literal 0 binary64))) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) b_2))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) b_2) b_2)
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/2 (/ (* a (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) b_2)))))
(fma.f64 a (*.f64 #s(literal -1/2 binary64) (fma.f64 a (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 c c)) (*.f64 b_2 b_2)) b_2) (/.f64 c b_2))) b_2)
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/2 (/ (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) b_2)) (* -1/4 (/ (* a (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))))) (pow b_2 3))))))))
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(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
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(/ (- (+ (* -1 (/ (pow b_2 7) (* (pow a 4) (pow c 3)))) (/ b_2 a)) (+ (* -1 (/ (pow b_2 5) (* (pow a 3) (pow c 2)))) (/ (pow b_2 3) (* (pow a 2) c)))) c)
(/.f64 (-.f64 (-.f64 (/.f64 b_2 a) (/.f64 (pow.f64 b_2 #s(literal 7 binary64)) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 4 binary64))))) (-.f64 (/.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b_2 #s(literal 5 binary64)) (*.f64 (*.f64 c c) (*.f64 a (*.f64 a a)))))) c)
(/ b_2 (* a c))
(/.f64 b_2 (*.f64 a c))
(* -1 (/ (+ (* -1 (/ b_2 a)) (/ (pow b_2 3) (* (pow a 2) c))) c))
(/.f64 (-.f64 (/.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 c (*.f64 a a))) (/.f64 b_2 a)) (-.f64 #s(literal 0 binary64) c))
(* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (- (/ (pow b_2 5) (* (pow a 3) c)) (/ (pow b_2 3) (pow a 2))) c))) c))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 b_2 a)) (/.f64 (-.f64 (/.f64 (pow.f64 b_2 #s(literal 5 binary64)) (*.f64 c (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a a))) c)) (-.f64 #s(literal 0 binary64) c))
(* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 7) (* (pow a 4) c)) (/ (pow b_2 5) (pow a 3))) c)) (/ (pow b_2 3) (pow a 2))) c))) c))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 b_2 a)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 b_2 #s(literal 7 binary64)) (*.f64 c (pow.f64 a #s(literal 4 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 5 binary64)) (*.f64 a (*.f64 a a)))) (-.f64 #s(literal 0 binary64) c)) (/.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a a))) c)) (-.f64 #s(literal 0 binary64) c))
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(fma.f64 (*.f64 b_2 b_2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b_2 b_2) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
(fma.f64 (*.f64 b_2 b_2) (fma.f64 (*.f64 b_2 b_2) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 b_2 b_2)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))))) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
b_2
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(*.f64 b_2 (fma.f64 (/.f64 (*.f64 a c) (*.f64 b_2 b_2)) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4))))))
(*.f64 b_2 (fma.f64 #s(literal -1/2 binary64) (fma.f64 a (/.f64 c (*.f64 b_2 b_2)) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a a)) (*.f64 c c) #s(literal 0 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))) #s(literal 1 binary64)))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* -1/4 (/ (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (pow b_2 6)))))))
(*.f64 b_2 (fma.f64 #s(literal -1/2 binary64) (fma.f64 a (/.f64 c (*.f64 b_2 b_2)) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a a)) (*.f64 c c) #s(literal 0 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 a c) (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a a)) (*.f64 c c) #s(literal 0 binary64))) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 1 binary64))))
(* -1 b_2)
(-.f64 #s(literal 0 binary64) b_2)
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 b_2 b_2)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4)))))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 a (/.f64 c (*.f64 b_2 b_2)) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a a)) (*.f64 c c) #s(literal 0 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* -1/4 (/ (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (pow b_2 6))))))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 a (/.f64 c (*.f64 b_2 b_2)) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a a)) (*.f64 c c) #s(literal 0 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 a c) (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a a)) (*.f64 c c) #s(literal 0 binary64))) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) b_2))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) b_2) b_2)
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/2 (/ (* a (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) b_2)))))
(fma.f64 a (*.f64 #s(literal -1/2 binary64) (fma.f64 a (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 c c)) (*.f64 b_2 b_2)) b_2) (/.f64 c b_2))) b_2)
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/2 (/ (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) b_2)) (* -1/4 (/ (* a (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))))) (pow b_2 3))))))))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 c c)) (*.f64 b_2 b_2)) b_2) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 a c) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 c c)) (*.f64 b_2 b_2)))) (*.f64 b_2 (*.f64 b_2 b_2)))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)) b_2)
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(*.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
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(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 a (fma.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64))))) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(*.f64 (-.f64 #s(literal 0 binary64) a) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))))
(* -1 (* a (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 (-.f64 #s(literal 0 binary64) a) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))))))
(* -1 (* a (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)))))) (pow a 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 a (*.f64 c (*.f64 c c)))) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))))) (*.f64 a (*.f64 a a)))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) b_2) b_2)
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/2 (/ (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) b_2)))))
(fma.f64 c (*.f64 #s(literal -1/2 binary64) (fma.f64 c (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a a)) (*.f64 b_2 b_2)) b_2) (/.f64 a b_2))) b_2)
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/2 (/ (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) b_2)) (* -1/4 (/ (* a (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))))) (pow b_2 3))))))))
(fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a a)) (*.f64 b_2 b_2)) b_2) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 a c) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a a)) (*.f64 b_2 b_2)))) (*.f64 b_2 (*.f64 b_2 b_2)))) (/.f64 (*.f64 #s(literal -1/2 binary64) a) b_2)) b_2)
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(*.f64 c (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a)) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(*.f64 c (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (pow.f64 c #s(literal 5 binary64))))) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a)) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 c (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (pow.f64 c #s(literal 5 binary64))))) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(*.f64 (-.f64 #s(literal 0 binary64) c) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))))))
(* -1 (* c (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a))))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (-.f64 #s(literal 0 binary64) c) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (pow.f64 c #s(literal 5 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64)))))))
(* -1 (* c (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a)))))) (pow c 3))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(-.f64 #s(literal 0 binary64) (*.f64 c (-.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a)))) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))))) (*.f64 c (*.f64 c c))))))
(/ (* (pow a 2) (pow c 2)) (pow b_2 2))
(/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 b_2 b_2))
(* (pow a 2) (+ (* -1 (/ (* a (pow c 3)) (pow b_2 4))) (/ (pow c 2) (pow b_2 2))))
(*.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64))) (/.f64 (*.f64 c c) (*.f64 b_2 b_2))))
(* (pow a 2) (+ (* a (- (/ (* a (pow c 4)) (pow b_2 6)) (/ (pow c 3) (pow b_2 4)))) (/ (pow c 2) (pow b_2 2))))
(*.f64 (*.f64 a a) (fma.f64 a (-.f64 (/.f64 (*.f64 a (pow.f64 c #s(literal 4 binary64))) (pow.f64 b_2 #s(literal 6 binary64))) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64)))) (/.f64 (*.f64 c c) (*.f64 b_2 b_2))))
(* (pow a 2) (+ (* a (- (* a (- (* -1 (/ (* a (pow c 5)) (pow b_2 8))) (* -1 (/ (pow c 4) (pow b_2 6))))) (/ (pow c 3) (pow b_2 4)))) (/ (pow c 2) (pow b_2 2))))
(*.f64 (*.f64 a a) (fma.f64 a (-.f64 (*.f64 a (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 b_2 #s(literal 8 binary64))) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))))) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64)))) (/.f64 (*.f64 c c) (*.f64 b_2 b_2))))
(* a c)
(*.f64 a c)
(* a (+ c (* -1 (/ (pow b_2 2) a))))
(*.f64 a (-.f64 c (/.f64 (*.f64 b_2 b_2) a)))
(* a (- (+ c (/ (pow b_2 4) (* (pow a 2) c))) (/ (pow b_2 2) a)))
(*.f64 a (+.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 c (*.f64 a a))) (-.f64 c (/.f64 (*.f64 b_2 b_2) a))))
(* a (- (+ c (* -1 (/ (pow b_2 6) (* (pow a 3) (pow c 2))))) (+ (* -1 (/ (pow b_2 4) (* (pow a 2) c))) (/ (pow b_2 2) a))))
(*.f64 a (-.f64 (-.f64 c (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (*.f64 (*.f64 c c) (*.f64 a (*.f64 a a))))) (-.f64 (/.f64 (*.f64 b_2 b_2) a) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 c (*.f64 a a))))))
(* a c)
(*.f64 a c)
(* -1 (* a (+ (* -1 c) (/ (pow b_2 2) a))))
(*.f64 a (-.f64 c (/.f64 (*.f64 b_2 b_2) a)))
(* -1 (* a (+ (* -1 c) (* -1 (/ (- (/ (pow b_2 4) (* a c)) (pow b_2 2)) a)))))
(*.f64 a (neg.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (-.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 a c)) (*.f64 b_2 b_2)) a))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 6) (* a (pow c 2))) (/ (pow b_2 4) c)) a)) (pow b_2 2)) a)))))
(-.f64 #s(literal 0 binary64) (*.f64 a (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (*.f64 a (*.f64 c c))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) c)) (-.f64 #s(literal 0 binary64) a)) (*.f64 b_2 b_2)) a))))
(/ (* (pow a 2) (pow c 2)) (pow b_2 2))
(/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 b_2 b_2))
(* (pow c 2) (+ (* -1 (/ (* (pow a 3) c) (pow b_2 4))) (/ (pow a 2) (pow b_2 2))))
(*.f64 (*.f64 c c) (fma.f64 (*.f64 a (*.f64 a a)) (neg.f64 (/.f64 c (pow.f64 b_2 #s(literal 4 binary64)))) (/.f64 (*.f64 a a) (*.f64 b_2 b_2))))
(* (pow c 2) (+ (* c (- (/ (* (pow a 4) c) (pow b_2 6)) (/ (pow a 3) (pow b_2 4)))) (/ (pow a 2) (pow b_2 2))))
(*.f64 (*.f64 c c) (fma.f64 c (fma.f64 (pow.f64 a #s(literal 4 binary64)) (/.f64 c (pow.f64 b_2 #s(literal 6 binary64))) (/.f64 (*.f64 a (*.f64 a a)) (neg.f64 (pow.f64 b_2 #s(literal 4 binary64))))) (/.f64 (*.f64 a a) (*.f64 b_2 b_2))))
(* (pow c 2) (+ (* c (- (* c (- (* -1 (/ (* (pow a 5) c) (pow b_2 8))) (* -1 (/ (pow a 4) (pow b_2 6))))) (/ (pow a 3) (pow b_2 4)))) (/ (pow a 2) (pow b_2 2))))
(*.f64 (*.f64 c c) (fma.f64 c (fma.f64 c (fma.f64 (pow.f64 a #s(literal 5 binary64)) (neg.f64 (/.f64 c (pow.f64 b_2 #s(literal 8 binary64)))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) (/.f64 (*.f64 a (*.f64 a a)) (neg.f64 (pow.f64 b_2 #s(literal 4 binary64))))) (/.f64 (*.f64 a a) (*.f64 b_2 b_2))))
(* a c)
(*.f64 a c)
(* c (+ a (* -1 (/ (pow b_2 2) c))))
(*.f64 c (-.f64 a (/.f64 (*.f64 b_2 b_2) c)))
(* c (- (+ a (/ (pow b_2 4) (* a (pow c 2)))) (/ (pow b_2 2) c)))
(*.f64 c (+.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 a (*.f64 c c))) (-.f64 a (/.f64 (*.f64 b_2 b_2) c))))
(* c (- (+ a (* -1 (/ (pow b_2 6) (* (pow a 2) (pow c 3))))) (+ (* -1 (/ (pow b_2 4) (* a (pow c 2)))) (/ (pow b_2 2) c))))
(*.f64 c (-.f64 (-.f64 a (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (*.f64 (*.f64 a a) (*.f64 c (*.f64 c c))))) (-.f64 (/.f64 (*.f64 b_2 b_2) c) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 a (*.f64 c c))))))
(* a c)
(*.f64 a c)
(* -1 (* c (+ (* -1 a) (/ (pow b_2 2) c))))
(*.f64 c (-.f64 a (/.f64 (*.f64 b_2 b_2) c)))
(* -1 (* c (+ (* -1 a) (* -1 (/ (- (/ (pow b_2 4) (* a c)) (pow b_2 2)) c)))))
(*.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 a c)) (*.f64 b_2 b_2)) (-.f64 #s(literal 0 binary64) c)) a))
(* -1 (* c (+ (* -1 a) (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 6) (* (pow a 2) c)) (/ (pow b_2 4) a)) c)) (pow b_2 2)) c)))))
(-.f64 #s(literal 0 binary64) (*.f64 c (-.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) a)) (-.f64 #s(literal 0 binary64) c)) (*.f64 b_2 b_2)) c))))
(* a c)
(*.f64 a c)
(+ (* -1 (pow b_2 2)) (* a c))
(fma.f64 a c (-.f64 #s(literal 0 binary64) (*.f64 b_2 b_2)))
(+ (* a c) (* (pow b_2 2) (- (/ (pow b_2 2) (* a c)) 1)))
(fma.f64 a c (*.f64 (*.f64 b_2 b_2) (+.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1 binary64))))
(+ (* a c) (* (pow b_2 2) (- (* (pow b_2 2) (+ (* -1 (/ (pow b_2 2) (* (pow a 2) (pow c 2)))) (/ 1 (* a c)))) 1)))
(fma.f64 (*.f64 b_2 b_2) (fma.f64 (*.f64 b_2 b_2) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) (/.f64 (*.f64 b_2 b_2) (*.f64 (*.f64 a c) (*.f64 a c)))) #s(literal -1 binary64)) (*.f64 a c))
(/ (* (pow a 2) (pow c 2)) (pow b_2 2))
(/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 b_2 b_2))
(/ (+ (* -1 (/ (* (pow a 3) (pow c 3)) (pow b_2 2))) (* (pow a 2) (pow c 2))) (pow b_2 2))
(/.f64 (fma.f64 (neg.f64 (*.f64 a (*.f64 a a))) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b_2 b_2)) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 b_2 b_2))
(/ (- (+ (* (pow a 2) (pow c 2)) (/ (* (pow a 4) (pow c 4)) (pow b_2 4))) (/ (* (pow a 3) (pow c 3)) (pow b_2 2))) (pow b_2 2))
(/.f64 (fma.f64 (pow.f64 a #s(literal 4 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (fma.f64 (neg.f64 (*.f64 a (*.f64 a a))) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b_2 b_2)) (*.f64 (*.f64 a c) (*.f64 a c)))) (*.f64 b_2 b_2))
(/ (- (+ (* -1 (/ (* (pow a 5) (pow c 5)) (pow b_2 6))) (* (pow a 2) (pow c 2))) (+ (* -1 (/ (* (pow a 4) (pow c 4)) (pow b_2 4))) (/ (* (pow a 3) (pow c 3)) (pow b_2 2)))) (pow b_2 2))
(/.f64 (-.f64 (-.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (/.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))) (pow.f64 b_2 #s(literal 6 binary64)))) (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b_2 b_2)) (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (neg.f64 (pow.f64 b_2 #s(literal 4 binary64)))))) (*.f64 b_2 b_2))
(/ (* (pow a 2) (pow c 2)) (pow b_2 2))
(/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 b_2 b_2))
(/ (+ (* -1 (/ (* (pow a 3) (pow c 3)) (pow b_2 2))) (* (pow a 2) (pow c 2))) (pow b_2 2))
(/.f64 (fma.f64 (neg.f64 (*.f64 a (*.f64 a a))) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b_2 b_2)) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 b_2 b_2))
(/ (- (+ (* (pow a 2) (pow c 2)) (/ (* (pow a 4) (pow c 4)) (pow b_2 4))) (/ (* (pow a 3) (pow c 3)) (pow b_2 2))) (pow b_2 2))
(/.f64 (fma.f64 (pow.f64 a #s(literal 4 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (fma.f64 (neg.f64 (*.f64 a (*.f64 a a))) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b_2 b_2)) (*.f64 (*.f64 a c) (*.f64 a c)))) (*.f64 b_2 b_2))
(/ (- (+ (* -1 (/ (* (pow a 5) (pow c 5)) (pow b_2 6))) (* (pow a 2) (pow c 2))) (+ (* -1 (/ (* (pow a 4) (pow c 4)) (pow b_2 4))) (/ (* (pow a 3) (pow c 3)) (pow b_2 2)))) (pow b_2 2))
(/.f64 (-.f64 (-.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (/.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))) (pow.f64 b_2 #s(literal 6 binary64)))) (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b_2 b_2)) (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (neg.f64 (pow.f64 b_2 #s(literal 4 binary64)))))) (*.f64 b_2 b_2))

eval330.0ms (2.7%)

Memory
20.6MiB live, 555.0MiB allocated
Compiler

Compiled 78 622 to 4 895 computations (93.8% saved)

prune331.0ms (2.7%)

Memory
-14.1MiB live, 358.9MiB allocated
Pruning

28 alts after pruning (24 fresh and 4 done)

PrunedKeptTotal
New1 782101 792
Fresh51419
Picked235
Done112
Total1 790281 818
Accuracy
93.7%
Counts
1 818 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
2.0%
(/.f64 (fma.f64 b_2 a (*.f64 a b_2)) (*.f64 a a))
34.1%
(/.f64 (/.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))) (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))))) a)
4.5%
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 b_2 b_2) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 b_2 (+.f64 b_2 b_2) (*.f64 #s(literal 0 binary64) (+.f64 b_2 b_2))))) a)
24.3%
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) a)
34.2%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) b_2)) a)
2.7%
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) b_2)) a)
29.1%
(/.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))) (*.f64 a (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))))))
57.8%
(/.f64 (-.f64 (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))) b_2) a)
30.8%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))))) a)
40.2%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)))) a)
12.2%
(/.f64 (+.f64 b_2 (sqrt.f64 (*.f64 b_2 b_2))) a)
2.7%
(/.f64 (+.f64 b_2 b_2) a)
32.1%
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
34.3%
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
9.5%
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a c) b_2)) a)
57.6%
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))) b_2)))
2.7%
(/.f64 #s(literal 1 binary64) (/.f64 a (+.f64 b_2 b_2)))
4.8%
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 2 binary64)) b_2) (/.f64 b_2 b_2))
2.7%
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 b_2 b_2)) #s(literal -1 binary64)))
57.7%
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))) b_2))
2.7%
(*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b_2 b_2))
34.2%
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
32.0%
(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))
4.8%
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 b_2 a) (fma.f64 b_2 b_2 #s(literal 0 binary64))))
2.7%
(*.f64 #s(literal 2 binary64) (/.f64 b_2 a))
9.5%
(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
6.3%
(*.f64 #s(literal -2 binary64) (/.f64 (/.f64 b_2 a) (fma.f64 b_2 b_2 #s(literal 0 binary64))))
10.0%
#s(literal 0 binary64)
Compiler

Compiled 720 to 453 computations (37.1% saved)

simplify257.0ms (2.1%)

Memory
54.2MiB live, 397.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))))
cost-diff0
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))))) a)
cost-diff192
(+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c))))))
cost-diff1216
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c))))
cost-diff0
(fma.f64 b_2 b_2 #s(literal 0 binary64))
cost-diff0
(/.f64 b_2 a)
cost-diff320
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 b_2 a) (fma.f64 b_2 b_2 #s(literal 0 binary64))))
cost-diff704
(/.f64 (/.f64 b_2 a) (fma.f64 b_2 b_2 #s(literal 0 binary64)))
cost-diff0
(+.f64 b_2 b_2)
cost-diff0
(/.f64 a (+.f64 b_2 b_2))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 a (+.f64 b_2 b_2)))
cost-diff0
(+.f64 b_2 b_2)
cost-diff0
(/.f64 (+.f64 b_2 b_2) a)
cost-diff0
(-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))
cost-diff0
(sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c)))
cost-diff0
(-.f64 (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))) b_2)
cost-diff0
(/.f64 (-.f64 (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))) b_2) a)
Rules
6 022×accelerator-lowering-fma.f32
6 022×accelerator-lowering-fma.f64
2 788×*-lowering-*.f32
2 788×*-lowering-*.f64
1 968×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028172
158166
2126166
3247160
4479160
5992160
62441160
08332154
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (- (sqrt (- (+ (* b_2 b_2) 0) (* a c))) b_2) a)
(- (sqrt (- (+ (* b_2 b_2) 0) (* a c))) b_2)
(sqrt (- (+ (* b_2 b_2) 0) (* a c)))
(- (+ (* b_2 b_2) 0) (* a c))
(+ (* b_2 b_2) 0)
b_2
0
(* a c)
a
c
(/ (+ b_2 b_2) a)
(+ b_2 b_2)
b_2
a
(/ 1 (/ a (+ b_2 b_2)))
1
(/ a (+ b_2 b_2))
a
(+ b_2 b_2)
b_2
(* 2 (/ (/ b_2 a) (+ (* b_2 b_2) 0)))
2
(/ (/ b_2 a) (+ (* b_2 b_2) 0))
(/ b_2 a)
b_2
a
(+ (* b_2 b_2) 0)
0
(/ (+ (neg b_2) (sqrt (/ -1 (/ 1 (+ (* b_2 b_2) (* a c)))))) a)
(+ (neg b_2) (sqrt (/ -1 (/ 1 (+ (* b_2 b_2) (* a c))))))
(neg b_2)
b_2
(sqrt (/ -1 (/ 1 (+ (* b_2 b_2) (* a c)))))
(/ -1 (/ 1 (+ (* b_2 b_2) (* a c))))
-1
(/ 1 (+ (* b_2 b_2) (* a c)))
1
(+ (* b_2 b_2) (* a c))
(* a c)
a
c
Outputs
(/ (- (sqrt (- (+ (* b_2 b_2) 0) (* a c))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (fma.f64 a (-.f64 #s(literal 0 binary64) c) #s(literal 0 binary64)))) b_2) a)
(- (sqrt (- (+ (* b_2 b_2) 0) (* a c))) b_2)
(-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (fma.f64 a (-.f64 #s(literal 0 binary64) c) #s(literal 0 binary64)))) b_2)
(sqrt (- (+ (* b_2 b_2) 0) (* a c)))
(sqrt.f64 (fma.f64 b_2 b_2 (fma.f64 a (-.f64 #s(literal 0 binary64) c) #s(literal 0 binary64))))
(- (+ (* b_2 b_2) 0) (* a c))
(fma.f64 b_2 b_2 (fma.f64 a (-.f64 #s(literal 0 binary64) c) #s(literal 0 binary64)))
(+ (* b_2 b_2) 0)
(fma.f64 b_2 b_2 #s(literal 0 binary64))
b_2
0
#s(literal 0 binary64)
(* a c)
(fma.f64 a c #s(literal 0 binary64))
a
c
(/ (+ b_2 b_2) a)
(/.f64 (+.f64 b_2 b_2) a)
(+ b_2 b_2)
(+.f64 b_2 b_2)
b_2
a
(/ 1 (/ a (+ b_2 b_2)))
(/.f64 (+.f64 b_2 b_2) a)
1
#s(literal 1 binary64)
(/ a (+ b_2 b_2))
(/.f64 a (+.f64 b_2 b_2))
a
(+ b_2 b_2)
(+.f64 b_2 b_2)
b_2
(* 2 (/ (/ b_2 a) (+ (* b_2 b_2) 0)))
(/.f64 #s(literal 2 binary64) (fma.f64 b_2 a #s(literal 0 binary64)))
2
#s(literal 2 binary64)
(/ (/ b_2 a) (+ (* b_2 b_2) 0))
(/.f64 #s(literal 1 binary64) (fma.f64 b_2 a #s(literal 0 binary64)))
(/ b_2 a)
(/.f64 b_2 a)
b_2
a
(+ (* b_2 b_2) 0)
(fma.f64 b_2 b_2 #s(literal 0 binary64))
0
#s(literal 0 binary64)
(/ (+ (neg b_2) (sqrt (/ -1 (/ 1 (+ (* b_2 b_2) (* a c)))))) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))))) b_2) a)
(+ (neg b_2) (sqrt (/ -1 (/ 1 (+ (* b_2 b_2) (* a c))))))
(-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))))) b_2)
(neg b_2)
(-.f64 #s(literal 0 binary64) b_2)
b_2
(sqrt (/ -1 (/ 1 (+ (* b_2 b_2) (* a c)))))
(sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64)))))
(/ -1 (/ 1 (+ (* b_2 b_2) (* a c))))
(-.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))))
-1
#s(literal -1 binary64)
(/ 1 (+ (* b_2 b_2) (* a c)))
(/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))))
1
#s(literal 1 binary64)
(+ (* b_2 b_2) (* a c))
(fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64)))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
a
c

localize135.0ms (1.1%)

Memory
-39.4MiB live, 209.6MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c))))
accuracy99.9%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))))) a)
accuracy99.9%
(/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))
accuracy93.7%
(sqrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))))
accuracy100.0%
(fma.f64 b_2 b_2 #s(literal 0 binary64))
accuracy100.0%
(/.f64 b_2 a)
accuracy100.0%
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 b_2 a) (fma.f64 b_2 b_2 #s(literal 0 binary64))))
accuracy87.9%
(/.f64 (/.f64 b_2 a) (fma.f64 b_2 b_2 #s(literal 0 binary64)))
accuracy100.0%
(/.f64 a (+.f64 b_2 b_2))
accuracy100.0%
(+.f64 b_2 b_2)
accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 a (+.f64 b_2 b_2)))
accuracy100.0%
(/.f64 (+.f64 b_2 b_2) a)
accuracy100.0%
(+.f64 b_2 b_2)
accuracy100.0%
(-.f64 (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))) b_2)
accuracy100.0%
(*.f64 a c)
accuracy99.9%
(/.f64 (-.f64 (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))) b_2) a)
accuracy93.7%
(sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c)))
Samples
62.0ms96×0valid
39.0ms160×0invalid
Compiler

Compiled 186 to 30 computations (83.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 81.0ms
ival-div: 57.0ms (70% of total)
ival-sqrt: 10.0ms (12.3% of total)
ival-add: 5.0ms (6.1% of total)
ival-mult: 5.0ms (6.1% of total)
ival-sub: 2.0ms (2.5% of total)
exact: 1.0ms (1.2% of total)
ival-neg: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series34.0ms (0.3%)

Memory
20.3MiB live, 60.7MiB allocated
Counts
18 → 516
Calls
Call 1
Inputs
#<alt (/ (- (sqrt (- (+ (* b_2 b_2) 0) (* a c))) b_2) a)>
#<alt (- (sqrt (- (+ (* b_2 b_2) 0) (* a c))) b_2)>
#<alt (sqrt (- (+ (* b_2 b_2) 0) (* a c)))>
#<alt (- (+ (* b_2 b_2) 0) (* a c))>
#<alt (/ (+ b_2 b_2) a)>
#<alt (+ b_2 b_2)>
#<alt (/ 1 (/ a (+ b_2 b_2)))>
#<alt (/ a (+ b_2 b_2))>
#<alt (/ (/ b_2 a) (+ (* b_2 b_2) 0))>
#<alt (* 2 (/ (/ b_2 a) (+ (* b_2 b_2) 0)))>
#<alt (/ b_2 a)>
#<alt (+ (* b_2 b_2) 0)>
#<alt (/ -1 (/ 1 (+ (* b_2 b_2) (* a c))))>
#<alt (+ (neg b_2) (sqrt (/ -1 (/ 1 (+ (* b_2 b_2) (* a c))))))>
#<alt (/ (+ (neg b_2) (sqrt (/ -1 (/ 1 (+ (* b_2 b_2) (* a c)))))) a)>
#<alt (sqrt (/ -1 (/ 1 (+ (* b_2 b_2) (* a c)))))>
#<alt (* a c)>
#<alt (/ 1 (+ (* b_2 b_2) (* a c)))>
Outputs
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1/2 (/ c b_2))>
#<alt (/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)>
#<alt (/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)>
#<alt (/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)>
#<alt (* -2 (/ b_2 a))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))>
#<alt (* -1/2 (/ c b_2))>
#<alt (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))>
#<alt (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))>
#<alt (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)>
#<alt (/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)>
#<alt (/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)>
#<alt (* -2 b_2)>
#<alt (* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))>
#<alt (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))>
#<alt (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))>
#<alt (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))>
#<alt (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))>
#<alt (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))>
#<alt (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))>
#<alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))>
#<alt (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))>
#<alt b_2>
#<alt (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))>
#<alt (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))>
#<alt (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))>
#<alt (* -1 b_2)>
#<alt (* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))>
#<alt (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))>
#<alt b_2>
#<alt (+ b_2 (* -1/2 (/ (* a c) b_2)))>
#<alt (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))>
#<alt (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))>
#<alt b_2>
#<alt (+ b_2 (* -1/2 (/ (* a c) b_2)))>
#<alt (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))>
#<alt (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))>
#<alt (* -1 (* a c))>
#<alt (- (pow b_2 2) (* a c))>
#<alt (- (pow b_2 2) (* a c))>
#<alt (- (pow b_2 2) (* a c))>
#<alt (pow b_2 2)>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
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#<alt (pow b_2 2)>
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#<alt (* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))>
#<alt (* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))>
#<alt (pow b_2 2)>
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#<alt (+ (* -1 (* a c)) (pow b_2 2))>
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#<alt (* c (- (/ (pow b_2 2) c) a))>
#<alt (* c (- (/ (pow b_2 2) c) a))>
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#<alt (* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))>
#<alt (* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))>
#<alt (* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))>
#<alt (* 2 (/ b_2 a))>
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#<alt (* 2 (/ b_2 a))>
#<alt (* 2 (/ b_2 a))>
#<alt (* 2 b_2)>
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#<alt (* 2 b_2)>
#<alt (* 2 b_2)>
#<alt (* 2 b_2)>
#<alt (* 2 b_2)>
#<alt (* 2 b_2)>
#<alt (* 2 b_2)>
#<alt (* 2 b_2)>
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#<alt (* 2 b_2)>
#<alt (* 2 b_2)>
#<alt (* 2 (/ b_2 a))>
#<alt (* 2 (/ b_2 a))>
#<alt (* 2 (/ b_2 a))>
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#<alt (* 2 (/ b_2 a))>
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#<alt (* 2 (/ b_2 a))>
#<alt (* 2 (/ b_2 a))>
#<alt (* 1/2 (/ a b_2))>
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#<alt (* 1/2 (/ a b_2))>
#<alt (* 1/2 (/ a b_2))>
#<alt (* 1/2 (/ a b_2))>
#<alt (* 1/2 (/ a b_2))>
#<alt (* 1/2 (/ a b_2))>
#<alt (* 1/2 (/ a b_2))>
#<alt (* 1/2 (/ a b_2))>
#<alt (* 1/2 (/ a b_2))>
#<alt (* 1/2 (/ a b_2))>
#<alt (* 1/2 (/ a b_2))>
#<alt (* 1/2 (/ a b_2))>
#<alt (* 1/2 (/ a b_2))>
#<alt (* 1/2 (/ a b_2))>
#<alt (* 1/2 (/ a b_2))>
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#<alt (* 1/2 (/ a b_2))>
#<alt (* 1/2 (/ a b_2))>
#<alt (* 1/2 (/ a b_2))>
#<alt (* 1/2 (/ a b_2))>
#<alt (* 1/2 (/ a b_2))>
#<alt (* 1/2 (/ a b_2))>
#<alt (/ 1 (* a b_2))>
#<alt (/ 1 (* a b_2))>
#<alt (/ 1 (* a b_2))>
#<alt (/ 1 (* a b_2))>
#<alt (/ 1 (* a b_2))>
#<alt (/ 1 (* a b_2))>
#<alt (/ 1 (* a b_2))>
#<alt (/ 1 (* a b_2))>
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#<alt (/ 1 (* a b_2))>
#<alt (/ 1 (* a b_2))>
#<alt (/ 1 (* a b_2))>
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#<alt (/ 1 (* a b_2))>
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#<alt (/ 2 (* a b_2))>
#<alt (/ 2 (* a b_2))>
#<alt (/ 2 (* a b_2))>
#<alt (/ 2 (* a b_2))>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (* -1 (* a c))>
#<alt (+ (* -1 (* a c)) (* -1 (pow b_2 2)))>
#<alt (+ (* -1 (* a c)) (* -1 (pow b_2 2)))>
#<alt (+ (* -1 (* a c)) (* -1 (pow b_2 2)))>
#<alt (* -1 (pow b_2 2))>
#<alt (* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))>
#<alt (* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))>
#<alt (* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))>
#<alt (* -1 (pow b_2 2))>
#<alt (* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))>
#<alt (* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))>
#<alt (* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))>
#<alt (* -1 (pow b_2 2))>
#<alt (+ (* -1 (* a c)) (* -1 (pow b_2 2)))>
#<alt (+ (* -1 (* a c)) (* -1 (pow b_2 2)))>
#<alt (+ (* -1 (* a c)) (* -1 (pow b_2 2)))>
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#<alt (* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a))))>
#<alt (* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a))))>
#<alt (* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a))))>
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#<alt (* -1 (* a (+ c (/ (pow b_2 2) a))))>
#<alt (* -1 (* a (+ c (/ (pow b_2 2) a))))>
#<alt (* -1 (* a (+ c (/ (pow b_2 2) a))))>
#<alt (* -1 (pow b_2 2))>
#<alt (+ (* -1 (* a c)) (* -1 (pow b_2 2)))>
#<alt (+ (* -1 (* a c)) (* -1 (pow b_2 2)))>
#<alt (+ (* -1 (* a c)) (* -1 (pow b_2 2)))>
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#<alt (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c))))>
#<alt (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c))))>
#<alt (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c))))>
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#<alt (* -1 (* c (+ a (/ (pow b_2 2) c))))>
#<alt (* -1 (* c (+ a (/ (pow b_2 2) c))))>
#<alt (* -1 (* c (+ a (/ (pow b_2 2) c))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))>
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#<alt (* b_2 (- (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))) 1))>
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#<alt (* -1 (* b_2 (+ 1 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))))>
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#<alt (- (* b_2 (sqrt -1)) b_2)>
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#<alt (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3)))>
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#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3)))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
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#<alt (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (sqrt -1))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 2) (sqrt -1)))))))))>
#<alt (* b_2 (sqrt -1))>
#<alt (* b_2 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))>
#<alt (* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))>
#<alt (* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))>
#<alt (* -1 (* b_2 (sqrt -1)))>
#<alt (* -1 (* b_2 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))>
#<alt (* -1 (* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))>
#<alt (* -1 (* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))))>
#<alt (* b_2 (sqrt -1))>
#<alt (+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1)))>
#<alt (+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1)))>
#<alt (+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1)))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (* a c)) (pow (sqrt -1) 3)))>
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))>
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3))))))>
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))))>
#<alt (* b_2 (sqrt -1))>
#<alt (+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1)))>
#<alt (+ (* b_2 (sqrt -1)) (* c (+ (* -1/8 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* a (sqrt -1)) b_2)))))>
#<alt (+ (* b_2 (sqrt -1)) (* c (+ (* 1/2 (/ (* a (sqrt -1)) b_2)) (* c (+ (* -1/8 (/ (* (pow a 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* (pow a 3) (* c (sqrt -1))) (pow b_2 5))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (* a c)) (pow (sqrt -1) 3)))>
#<alt (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))>
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3))))))>
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))))>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (/ 1 (* a c))>
#<alt (+ (* -1 (/ (pow b_2 2) (* (pow a 2) (pow c 2)))) (/ 1 (* a c)))>
#<alt (+ (* (pow b_2 2) (- (/ (pow b_2 2) (* (pow a 3) (pow c 3))) (/ 1 (* (pow a 2) (pow c 2))))) (/ 1 (* a c)))>
#<alt (+ (* (pow b_2 2) (- (* (pow b_2 2) (+ (* -1 (/ (pow b_2 2) (* (pow a 4) (pow c 4)))) (/ 1 (* (pow a 3) (pow c 3))))) (/ 1 (* (pow a 2) (pow c 2))))) (/ 1 (* a c)))>
#<alt (/ 1 (pow b_2 2))>
#<alt (/ (+ 1 (* -1 (/ (* a c) (pow b_2 2)))) (pow b_2 2))>
#<alt (/ (- (+ 1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (/ (* a c) (pow b_2 2))) (pow b_2 2))>
#<alt (/ (- (+ 1 (* -1 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (/ (* a c) (pow b_2 2)))) (pow b_2 2))>
#<alt (/ 1 (pow b_2 2))>
#<alt (/ (+ 1 (* -1 (/ (* a c) (pow b_2 2)))) (pow b_2 2))>
#<alt (/ (- (+ 1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (/ (* a c) (pow b_2 2))) (pow b_2 2))>
#<alt (/ (- (+ 1 (* -1 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (/ (* a c) (pow b_2 2)))) (pow b_2 2))>
#<alt (/ 1 (pow b_2 2))>
#<alt (+ (* -1 (/ (* a c) (pow b_2 4))) (/ 1 (pow b_2 2)))>
#<alt (+ (* a (- (/ (* a (pow c 2)) (pow b_2 6)) (/ c (pow b_2 4)))) (/ 1 (pow b_2 2)))>
#<alt (+ (* a (- (* a (- (* -1 (/ (* a (pow c 3)) (pow b_2 8))) (* -1 (/ (pow c 2) (pow b_2 6))))) (/ c (pow b_2 4)))) (/ 1 (pow b_2 2)))>
#<alt (/ 1 (* a c))>
#<alt (/ (+ (* -1 (/ (pow b_2 2) (* a (pow c 2)))) (/ 1 c)) a)>
#<alt (/ (- (+ (/ 1 c) (/ (pow b_2 4) (* (pow a 2) (pow c 3)))) (/ (pow b_2 2) (* a (pow c 2)))) a)>
#<alt (/ (- (+ (* -1 (/ (pow b_2 6) (* (pow a 3) (pow c 4)))) (/ 1 c)) (+ (* -1 (/ (pow b_2 4) (* (pow a 2) (pow c 3)))) (/ (pow b_2 2) (* a (pow c 2))))) a)>
#<alt (/ 1 (* a c))>
#<alt (* -1 (/ (- (/ (pow b_2 2) (* a (pow c 2))) (/ 1 c)) a))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 4) (* a (pow c 3))) (/ (pow b_2 2) (pow c 2))) a)) (/ 1 c)) a))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 6) (* a (pow c 4))) (/ (pow b_2 4) (pow c 3))) a)) (/ (pow b_2 2) (pow c 2))) a)) (/ 1 c)) a))>
#<alt (/ 1 (pow b_2 2))>
#<alt (+ (* -1 (/ (* a c) (pow b_2 4))) (/ 1 (pow b_2 2)))>
#<alt (+ (* c (- (/ (* (pow a 2) c) (pow b_2 6)) (/ a (pow b_2 4)))) (/ 1 (pow b_2 2)))>
#<alt (+ (* c (- (* c (- (* -1 (/ (* (pow a 3) c) (pow b_2 8))) (* -1 (/ (pow a 2) (pow b_2 6))))) (/ a (pow b_2 4)))) (/ 1 (pow b_2 2)))>
#<alt (/ 1 (* a c))>
#<alt (/ (+ (* -1 (/ (pow b_2 2) (* (pow a 2) c))) (/ 1 a)) c)>
#<alt (/ (- (+ (/ 1 a) (/ (pow b_2 4) (* (pow a 3) (pow c 2)))) (/ (pow b_2 2) (* (pow a 2) c))) c)>
#<alt (/ (- (+ (* -1 (/ (pow b_2 6) (* (pow a 4) (pow c 3)))) (/ 1 a)) (+ (* -1 (/ (pow b_2 4) (* (pow a 3) (pow c 2)))) (/ (pow b_2 2) (* (pow a 2) c)))) c)>
#<alt (/ 1 (* a c))>
#<alt (* -1 (/ (- (/ (pow b_2 2) (* (pow a 2) c)) (/ 1 a)) c))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 4) (* (pow a 3) c)) (/ (pow b_2 2) (pow a 2))) c)) (/ 1 a)) c))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 6) (* (pow a 4) c)) (/ (pow b_2 4) (pow a 3))) c)) (/ (pow b_2 2) (pow a 2))) c)) (/ 1 a)) c))>
Calls

129 calls:

TimeVariablePointExpression
4.0ms
b_2
@-inf
(/ (+ (neg b_2) (sqrt (/ -1 (/ 1 (+ (* b_2 b_2) (* a c)))))) a)
3.0ms
c
@0
(+ (neg b_2) (sqrt (/ -1 (/ 1 (+ (* b_2 b_2) (* a c))))))
1.0ms
b_2
@inf
(+ (neg b_2) (sqrt (/ -1 (/ 1 (+ (* b_2 b_2) (* a c))))))
0.0ms
b_2
@inf
(/ (+ (neg b_2) (sqrt (/ -1 (/ 1 (+ (* b_2 b_2) (* a c)))))) a)
0.0ms
a
@-inf
(/ (+ (neg b_2) (sqrt (/ -1 (/ 1 (+ (* b_2 b_2) (* a c)))))) a)

rewrite285.0ms (2.4%)

Memory
-0.1MiB live, 155.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
734×accelerator-lowering-fma.f32
734×accelerator-lowering-fma.f64
686×/-lowering-/.f32
686×/-lowering-/.f64
620×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028132
1180116
01546111
Stop Event
iter limit
iter limit
node limit
Counts
18 → 428
Calls
Call 1
Inputs
(/ (- (sqrt (- (+ (* b_2 b_2) 0) (* a c))) b_2) a)
(- (sqrt (- (+ (* b_2 b_2) 0) (* a c))) b_2)
(sqrt (- (+ (* b_2 b_2) 0) (* a c)))
(- (+ (* b_2 b_2) 0) (* a c))
(/ (+ b_2 b_2) a)
(+ b_2 b_2)
(/ 1 (/ a (+ b_2 b_2)))
(/ a (+ b_2 b_2))
(/ (/ b_2 a) (+ (* b_2 b_2) 0))
(* 2 (/ (/ b_2 a) (+ (* b_2 b_2) 0)))
(/ b_2 a)
(+ (* b_2 b_2) 0)
(/ -1 (/ 1 (+ (* b_2 b_2) (* a c))))
(+ (neg b_2) (sqrt (/ -1 (/ 1 (+ (* b_2 b_2) (* a c))))))
(/ (+ (neg b_2) (sqrt (/ -1 (/ 1 (+ (* b_2 b_2) (* a c)))))) a)
(sqrt (/ -1 (/ 1 (+ (* b_2 b_2) (* a c)))))
(* a c)
(/ 1 (+ (* b_2 b_2) (* a c)))
Outputs
(+.f64 (/.f64 (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))) a) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a)))
(-.f64 (/.f64 (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))) a) (/.f64 b_2 a))
(fma.f64 (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))) (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a)))
(neg.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))) b_2) (-.f64 #s(literal 0 binary64) a)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))) b_2)) a))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))) b_2) a)
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))) b_2)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))) b_2)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))) b_2))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))) b_2)) (-.f64 #s(literal 0 binary64) a))
(/.f64 (fma.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c)) (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))) (neg.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (*.f64 a (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c)))) (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c)))))
(/.f64 (-.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c)) (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))))))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))) a) (*.f64 a b_2)) (*.f64 a a))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))) (/.f64 a b_2)) (*.f64 a #s(literal 1 binary64))) (*.f64 a (/.f64 a b_2)))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))) (-.f64 #s(literal 0 binary64) a)) (*.f64 a (-.f64 #s(literal 0 binary64) b_2))) (*.f64 a (-.f64 #s(literal 0 binary64) a)))
(/.f64 (*.f64 (fma.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c)) (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))) (neg.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))))) #s(literal 1 binary64)) (*.f64 (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c)))) (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))) a))
(/.f64 (*.f64 (-.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c)) (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c)))) a))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))) b_2))) (neg.f64 (-.f64 #s(literal 0 binary64) a)))
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))) a) #s(literal 3 binary64)) (pow.f64 (/.f64 b_2 a) #s(literal 3 binary64))) (fma.f64 (/.f64 (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))) a) (/.f64 (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))) a) (fma.f64 (/.f64 b_2 a) (/.f64 b_2 a) (*.f64 (/.f64 (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))) a) (/.f64 b_2 a)))))
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))) a) (/.f64 (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))) a)) (*.f64 (/.f64 b_2 a) (/.f64 b_2 a))) (+.f64 (/.f64 (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))) a) (/.f64 b_2 a)))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))) b_2) #s(literal 1 binary64)) a)
(/.f64 (*.f64 (fma.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c)) (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))) (neg.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) a)) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c)))) (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))))
(/.f64 (*.f64 (-.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c)) (fma.f64 b_2 b_2 #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) a)) (+.f64 b_2 (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c)))))
(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))) b_2)) #s(literal -1 binary64))
(*.f64 (-.f64 (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))) b_2) (/.f64 #s(literal 1 binary64) a))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))) b_2) a))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))) b_2)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))) b_2))
(+.f64 (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))) (-.f64 #s(literal 0 binary64) b_2))
(+.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))))
(-.f64 (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))) b_2)
(-.f64 (/.f64 (*.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c)) (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c)))) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c)))) (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c)))) (/.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c)))) (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c)))))
(-.f64 (/.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c)) (+.f64 b_2 (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))))) (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (+.f64 b_2 (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))))))
(-.f64 (+.f64 (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))) #s(literal 0 binary64)) b_2)
(fma.f64 b_2 #s(literal -1 binary64) (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))))
(fma.f64 #s(literal -1 binary64) b_2 (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))))
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(pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (fma.f64 b_2 b_2 (*.f64 a c)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c))))))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1/4 binary64)))
(*.f64 a c)
(*.f64 c a)
(exp.f64 (*.f64 (log.f64 (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 b_2 b_2 (*.f64 a c))))
(/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (*.f64 a c))))
(pow.f64 (fma.f64 b_2 b_2 (*.f64 a c)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 b_2 b_2 (*.f64 a c))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))))) (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c)))) (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c)))

simplify581.0ms (4.8%)

Memory
-41.3MiB live, 1 057.2MiB allocated
Algorithm
egg-herbie
Rules
10 820×accelerator-lowering-fma.f32
10 820×accelerator-lowering-fma.f64
7 042×*-lowering-*.f32
7 042×*-lowering-*.f64
5 716×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09718206
131298086
081697788
Stop Event
iter limit
node limit
Counts
516 → 516
Calls
Call 1
Inputs
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(* -1/2 (/ c b_2))
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(* -2 (/ b_2 a))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(* -1/2 (/ c b_2))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(* (sqrt (/ c a)) (sqrt -1))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* (sqrt (* a c)) (sqrt -1))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(* -1/2 (/ (* a c) b_2))
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)
(* -2 b_2)
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* -1/2 (/ (* a c) b_2))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1/2 (/ (* a c) b_2))
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* (sqrt (* a c)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
b_2
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))
(* -1 b_2)
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* a c))
(- (pow b_2 2) (* a c))
(- (pow b_2 2) (* a c))
(- (pow b_2 2) (* a c))
(pow b_2 2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(pow b_2 2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(* -1 (* a c))
(* a (- (/ (pow b_2 2) a) c))
(* a (- (/ (pow b_2 2) a) c))
(* a (- (/ (pow b_2 2) a) c))
(* -1 (* a c))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(* -1 (* a c))
(* c (- (/ (pow b_2 2) c) a))
(* c (- (/ (pow b_2 2) c) a))
(* c (- (/ (pow b_2 2) c) a))
(* -1 (* a c))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 b_2)
(* 2 b_2)
(* 2 b_2)
(* 2 b_2)
(* 2 b_2)
(* 2 b_2)
(* 2 b_2)
(* 2 b_2)
(* 2 b_2)
(* 2 b_2)
(* 2 b_2)
(* 2 b_2)
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 1/2 (/ a b_2))
(* 1/2 (/ a b_2))
(* 1/2 (/ a b_2))
(* 1/2 (/ a b_2))
(* 1/2 (/ a b_2))
(* 1/2 (/ a b_2))
(* 1/2 (/ a b_2))
(* 1/2 (/ a b_2))
(* 1/2 (/ a b_2))
(* 1/2 (/ a b_2))
(* 1/2 (/ a b_2))
(* 1/2 (/ a b_2))
(* 1/2 (/ a b_2))
(* 1/2 (/ a b_2))
(* 1/2 (/ a b_2))
(* 1/2 (/ a b_2))
(* 1/2 (/ a b_2))
(* 1/2 (/ a b_2))
(* 1/2 (/ a b_2))
(* 1/2 (/ a b_2))
(* 1/2 (/ a b_2))
(* 1/2 (/ a b_2))
(* 1/2 (/ a b_2))
(* 1/2 (/ a b_2))
(/ 1 (* a b_2))
(/ 1 (* a b_2))
(/ 1 (* a b_2))
(/ 1 (* a b_2))
(/ 1 (* a b_2))
(/ 1 (* a b_2))
(/ 1 (* a b_2))
(/ 1 (* a b_2))
(/ 1 (* a b_2))
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(/ 2 (* a b_2))
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(/ 2 (* a b_2))
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(/ 2 (* a b_2))
(/ 2 (* a b_2))
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(/ 2 (* a b_2))
(/ 2 (* a b_2))
(/ 2 (* a b_2))
(/ 2 (* a b_2))
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(/ b_2 a)
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(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
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(pow b_2 2)
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(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(* -1 (* a c))
(+ (* -1 (* a c)) (* -1 (pow b_2 2)))
(+ (* -1 (* a c)) (* -1 (pow b_2 2)))
(+ (* -1 (* a c)) (* -1 (pow b_2 2)))
(* -1 (pow b_2 2))
(* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))
(* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))
(* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))
(* -1 (pow b_2 2))
(* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))
(* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))
(* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))
(* -1 (pow b_2 2))
(+ (* -1 (* a c)) (* -1 (pow b_2 2)))
(+ (* -1 (* a c)) (* -1 (pow b_2 2)))
(+ (* -1 (* a c)) (* -1 (pow b_2 2)))
(* -1 (* a c))
(* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a))))
(* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a))))
(* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a))))
(* -1 (* a c))
(* -1 (* a (+ c (/ (pow b_2 2) a))))
(* -1 (* a (+ c (/ (pow b_2 2) a))))
(* -1 (* a (+ c (/ (pow b_2 2) a))))
(* -1 (pow b_2 2))
(+ (* -1 (* a c)) (* -1 (pow b_2 2)))
(+ (* -1 (* a c)) (* -1 (pow b_2 2)))
(+ (* -1 (* a c)) (* -1 (pow b_2 2)))
(* -1 (* a c))
(* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c))))
(* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c))))
(* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c))))
(* -1 (* a c))
(* -1 (* c (+ a (/ (pow b_2 2) c))))
(* -1 (* c (+ a (/ (pow b_2 2) c))))
(* -1 (* c (+ a (/ (pow b_2 2) c))))
(* (sqrt (* a c)) (sqrt -1))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(* b_2 (- (sqrt -1) 1))
(* b_2 (- (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))) 1))
(* b_2 (- (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))) 1))
(* b_2 (- (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))) 1))
(* -1 (* b_2 (+ 1 (sqrt -1))))
(* -1 (* b_2 (+ 1 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))
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(* -1 (* b_2 (+ 1 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))))
(- (* b_2 (sqrt -1)) b_2)
(- (+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1))) b_2)
(- (+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1))) b_2)
(- (+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1))) b_2)
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))
(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 3)))
(* -1 (* a (+ (* (sqrt (/ c a)) (pow (sqrt -1) 3)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))
(- (* b_2 (sqrt -1)) b_2)
(- (+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1))) b_2)
(- (+ (* b_2 (sqrt -1)) (* c (+ (* -1/8 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* a (sqrt -1)) b_2))))) b_2)
(- (+ (* b_2 (sqrt -1)) (* c (+ (* 1/2 (/ (* a (sqrt -1)) b_2)) (* c (+ (* -1/8 (/ (* (pow a 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* (pow a 3) (* c (sqrt -1))) (pow b_2 5)))))))) b_2)
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))
(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 3)))
(* -1 (* c (+ (* (sqrt (/ a c)) (pow (sqrt -1) 3)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(/ (* b_2 (- (sqrt -1) 1)) a)
(* b_2 (- (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (/ (sqrt -1) a)) (/ 1 a)))
(* b_2 (- (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (/ (sqrt -1) a))) (/ 1 a)))
(* b_2 (- (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 2) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (/ (sqrt -1) a)))) (/ 1 a)))
(* -1 (/ (* b_2 (+ 1 (sqrt -1))) a))
(* -1 (* b_2 (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (+ (/ 1 a) (/ (sqrt -1) a)))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (+ (/ 1 a) (/ (sqrt -1) a))))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 2) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (+ (/ 1 a) (/ (sqrt -1) a)))))))
(/ (- (* b_2 (sqrt -1)) b_2) a)
(/ (- (+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1))) b_2) a)
(/ (- (+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1))) b_2) a)
(/ (- (+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1))) b_2) a)
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (sqrt -1))))) a))) a)))
(/ (- (* b_2 (sqrt -1)) b_2) a)
(- (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (/ (* b_2 (sqrt -1)) a)) (/ b_2 a))
(- (+ (* c (+ (* -1/8 (/ (* a (* c (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (sqrt -1) b_2)))) (/ (* b_2 (sqrt -1)) a)) (/ b_2 a))
(- (+ (* c (+ (* 1/2 (/ (sqrt -1) b_2)) (* c (+ (* -1/8 (/ (* a (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 5))))))) (/ (* b_2 (sqrt -1)) a)) (/ b_2 a))
(* (sqrt (/ c a)) (sqrt -1))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3)))))
(* (sqrt (* a c)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (sqrt -1))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 2) (sqrt -1)))))))))
(* b_2 (sqrt -1))
(* b_2 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))
(* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))
(* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))
(* -1 (* b_2 (sqrt -1)))
(* -1 (* b_2 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))
(* -1 (* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))
(* -1 (* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))))
(* b_2 (sqrt -1))
(+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1)))
(+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1)))
(+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1)))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 3)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))))
(* b_2 (sqrt -1))
(+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1)))
(+ (* b_2 (sqrt -1)) (* c (+ (* -1/8 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* a (sqrt -1)) b_2)))))
(+ (* b_2 (sqrt -1)) (* c (+ (* 1/2 (/ (* a (sqrt -1)) b_2)) (* c (+ (* -1/8 (/ (* (pow a 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* (pow a 3) (* c (sqrt -1))) (pow b_2 5))))))))
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 3)))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))))
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(/ 1 (* a c))
(+ (* -1 (/ (pow b_2 2) (* (pow a 2) (pow c 2)))) (/ 1 (* a c)))
(+ (* (pow b_2 2) (- (/ (pow b_2 2) (* (pow a 3) (pow c 3))) (/ 1 (* (pow a 2) (pow c 2))))) (/ 1 (* a c)))
(+ (* (pow b_2 2) (- (* (pow b_2 2) (+ (* -1 (/ (pow b_2 2) (* (pow a 4) (pow c 4)))) (/ 1 (* (pow a 3) (pow c 3))))) (/ 1 (* (pow a 2) (pow c 2))))) (/ 1 (* a c)))
(/ 1 (pow b_2 2))
(/ (+ 1 (* -1 (/ (* a c) (pow b_2 2)))) (pow b_2 2))
(/ (- (+ 1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (/ (* a c) (pow b_2 2))) (pow b_2 2))
(/ (- (+ 1 (* -1 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (/ (* a c) (pow b_2 2)))) (pow b_2 2))
(/ 1 (pow b_2 2))
(/ (+ 1 (* -1 (/ (* a c) (pow b_2 2)))) (pow b_2 2))
(/ (- (+ 1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (/ (* a c) (pow b_2 2))) (pow b_2 2))
(/ (- (+ 1 (* -1 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (/ (* a c) (pow b_2 2)))) (pow b_2 2))
(/ 1 (pow b_2 2))
(+ (* -1 (/ (* a c) (pow b_2 4))) (/ 1 (pow b_2 2)))
(+ (* a (- (/ (* a (pow c 2)) (pow b_2 6)) (/ c (pow b_2 4)))) (/ 1 (pow b_2 2)))
(+ (* a (- (* a (- (* -1 (/ (* a (pow c 3)) (pow b_2 8))) (* -1 (/ (pow c 2) (pow b_2 6))))) (/ c (pow b_2 4)))) (/ 1 (pow b_2 2)))
(/ 1 (* a c))
(/ (+ (* -1 (/ (pow b_2 2) (* a (pow c 2)))) (/ 1 c)) a)
(/ (- (+ (/ 1 c) (/ (pow b_2 4) (* (pow a 2) (pow c 3)))) (/ (pow b_2 2) (* a (pow c 2)))) a)
(/ (- (+ (* -1 (/ (pow b_2 6) (* (pow a 3) (pow c 4)))) (/ 1 c)) (+ (* -1 (/ (pow b_2 4) (* (pow a 2) (pow c 3)))) (/ (pow b_2 2) (* a (pow c 2))))) a)
(/ 1 (* a c))
(* -1 (/ (- (/ (pow b_2 2) (* a (pow c 2))) (/ 1 c)) a))
(* -1 (/ (- (* -1 (/ (- (/ (pow b_2 4) (* a (pow c 3))) (/ (pow b_2 2) (pow c 2))) a)) (/ 1 c)) a))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 6) (* a (pow c 4))) (/ (pow b_2 4) (pow c 3))) a)) (/ (pow b_2 2) (pow c 2))) a)) (/ 1 c)) a))
(/ 1 (pow b_2 2))
(+ (* -1 (/ (* a c) (pow b_2 4))) (/ 1 (pow b_2 2)))
(+ (* c (- (/ (* (pow a 2) c) (pow b_2 6)) (/ a (pow b_2 4)))) (/ 1 (pow b_2 2)))
(+ (* c (- (* c (- (* -1 (/ (* (pow a 3) c) (pow b_2 8))) (* -1 (/ (pow a 2) (pow b_2 6))))) (/ a (pow b_2 4)))) (/ 1 (pow b_2 2)))
(/ 1 (* a c))
(/ (+ (* -1 (/ (pow b_2 2) (* (pow a 2) c))) (/ 1 a)) c)
(/ (- (+ (/ 1 a) (/ (pow b_2 4) (* (pow a 3) (pow c 2)))) (/ (pow b_2 2) (* (pow a 2) c))) c)
(/ (- (+ (* -1 (/ (pow b_2 6) (* (pow a 4) (pow c 3)))) (/ 1 a)) (+ (* -1 (/ (pow b_2 4) (* (pow a 3) (pow c 2)))) (/ (pow b_2 2) (* (pow a 2) c)))) c)
(/ 1 (* a c))
(* -1 (/ (- (/ (pow b_2 2) (* (pow a 2) c)) (/ 1 a)) c))
(* -1 (/ (- (* -1 (/ (- (/ (pow b_2 4) (* (pow a 3) c)) (/ (pow b_2 2) (pow a 2))) c)) (/ 1 a)) c))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 6) (* (pow a 4) c)) (/ (pow b_2 4) (pow a 3))) c)) (/ (pow b_2 2) (pow a 2))) c)) (/ 1 a)) c))
Outputs
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 #s(literal -1 binary64) a))))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 b_2 (fma.f64 b_2 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 b_2 b_2) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) a)) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(* -1/2 (/ c b_2))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b_2 b_2)) (*.f64 c #s(literal -1/2 binary64))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/.f64 (fma.f64 c #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b_2 b_2)))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 c (/.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 5/64 binary64)) (*.f64 a (pow.f64 b_2 #s(literal 6 binary64))))) (fma.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b_2 b_2)))) b_2)
(* -2 (/ b_2 a))
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(-.f64 #s(literal 0 binary64) (*.f64 b_2 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(-.f64 #s(literal 0 binary64) (*.f64 b_2 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b_2 b_2)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b_2 #s(literal 6 binary64))) (/.f64 #s(literal 2 binary64) a))))))
(* -1/2 (/ c b_2))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(fma.f64 a (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(fma.f64 a (fma.f64 (*.f64 #s(literal -1/16 binary64) a) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 b_2 (*.f64 b_2 b_2)))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(fma.f64 a (fma.f64 a (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)) b_2) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b_2 #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 b_2 (*.f64 b_2 b_2)))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a)))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 b_2 b_2) b_2) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 b_2 (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 c c)) c))) (pow.f64 b_2 #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))))) a)) a)))
(* -1/2 (/ c b_2))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(*.f64 c (fma.f64 #s(literal -1/8 binary64) (*.f64 a (/.f64 c (*.f64 b_2 (*.f64 b_2 b_2)))) (/.f64 #s(literal -1/2 binary64) b_2)))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(*.f64 c (fma.f64 c (fma.f64 #s(literal -1/8 binary64) (/.f64 a (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 c (*.f64 a a))) (pow.f64 b_2 #s(literal 5 binary64)))) (/.f64 #s(literal -1/2 binary64) b_2)))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 c (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64))) (*.f64 a b_2)) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a a)) (pow.f64 b_2 #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -1/8 binary64) a) (*.f64 b_2 (*.f64 b_2 b_2)))) (/.f64 #s(literal -1/2 binary64) b_2)))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(*.f64 c (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 b_2 (-.f64 #s(literal 0 binary64) (*.f64 c a)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 b_2 (-.f64 #s(literal 0 binary64) (*.f64 c a))))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(*.f64 c (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64)))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 b_2 (-.f64 #s(literal 0 binary64) (*.f64 c a)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 b_2 (*.f64 c a))) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(-.f64 #s(literal 0 binary64) (*.f64 c (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a))) c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(-.f64 #s(literal 0 binary64) (*.f64 c (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 b_2 a)) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a))))))) c)) c))))
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)) (-.f64 #s(literal 0 binary64) b_2))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)) (*.f64 b_2 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) #s(literal -1 binary64))))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)) (*.f64 b_2 (fma.f64 b_2 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))))) (/.f64 (*.f64 b_2 b_2) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64))))) #s(literal -1 binary64))))
(* -1/2 (/ (* a c) b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) b_2)
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b_2 b_2)) (*.f64 #s(literal -1/2 binary64) (*.f64 c a))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 c a) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (*.f64 b_2 b_2)) (*.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64)))))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 c a (/.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 5/64 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (*.f64 b_2 b_2)) (*.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64)))))) b_2)
(* -2 b_2)
(*.f64 b_2 #s(literal -2 binary64))
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
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(* -1/2 (/ (* a c) b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) b_2)
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
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(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
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(* -1 (* (sqrt (* a c)) (sqrt -1)))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 b_2 a)) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
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(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
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(* -1/2 (/ (* a c) b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) b_2)
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))
(*.f64 c (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 (*.f64 #s(literal -1/2 binary64) a) b_2)))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))
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(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))
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(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(*.f64 c (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)) (-.f64 #s(literal 0 binary64) (/.f64 b_2 c))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))
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(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))
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(* -1 (* (sqrt (* a c)) (sqrt -1)))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 b_2 c)) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(*.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (-.f64 #s(literal 0 binary64) b_2)) c)) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
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(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64)))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(fma.f64 (*.f64 b_2 b_2) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))))) (/.f64 (*.f64 b_2 b_2) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))))
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(fma.f64 (*.f64 b_2 b_2) (fma.f64 (*.f64 b_2 b_2) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64)))))) (/.f64 (*.f64 b_2 b_2) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))))
b_2
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(*.f64 b_2 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 c (*.f64 b_2 b_2)) #s(literal 1 binary64)))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
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(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))
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(* -1 b_2)
(-.f64 #s(literal 0 binary64) b_2)
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(-.f64 #s(literal 0 binary64) (*.f64 b_2 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 c (*.f64 b_2 b_2)) #s(literal 1 binary64))))
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(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(-.f64 #s(literal 0 binary64) (fma.f64 b_2 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (pow.f64 b_2 #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b_2 #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) (*.f64 b_2 b_2)))) b_2))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 c a) b_2) b_2)
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(fma.f64 a (fma.f64 a (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)) b_2)
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(fma.f64 a (fma.f64 a (fma.f64 (*.f64 #s(literal -1/16 binary64) a) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 b_2 (*.f64 b_2 b_2)))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)) b_2)
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
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(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
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(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
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(* -1 (* (sqrt (* a c)) (sqrt -1)))
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(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))
(*.f64 (-.f64 #s(literal 0 binary64) c) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 c c)) c))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3))))))
(-.f64 #s(literal 0 binary64) (*.f64 c (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 c c)) c))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))))
(-.f64 #s(literal 0 binary64) (*.f64 c (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 c c)) c))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c))))))))
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(/ 1 (* a c))
(/.f64 #s(literal 1 binary64) (*.f64 c a))
(+ (* -1 (/ (pow b_2 2) (* (pow a 2) (pow c 2)))) (/ 1 (* a c)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) (/.f64 (*.f64 b_2 b_2) (*.f64 (*.f64 a (*.f64 c c)) a)))
(+ (* (pow b_2 2) (- (/ (pow b_2 2) (* (pow a 3) (pow c 3))) (/ 1 (* (pow a 2) (pow c 2))))) (/ 1 (* a c)))
(fma.f64 (*.f64 b_2 b_2) (+.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 a (*.f64 c c)) a))) (/.f64 #s(literal 1 binary64) (*.f64 c a)))
(+ (* (pow b_2 2) (- (* (pow b_2 2) (+ (* -1 (/ (pow b_2 2) (* (pow a 4) (pow c 4)))) (/ 1 (* (pow a 3) (pow c 3))))) (/ 1 (* (pow a 2) (pow c 2))))) (/ 1 (* a c)))
(fma.f64 (*.f64 b_2 b_2) (fma.f64 (*.f64 b_2 b_2) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))) (/.f64 (*.f64 b_2 b_2) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 a (*.f64 c c)) a))) (/.f64 #s(literal 1 binary64) (*.f64 c a)))
(/ 1 (pow b_2 2))
(/.f64 #s(literal 1 binary64) (*.f64 b_2 b_2))
(/ (+ 1 (* -1 (/ (* a c) (pow b_2 2)))) (pow b_2 2))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 c (*.f64 b_2 b_2)) #s(literal 1 binary64)) (*.f64 b_2 b_2))
(/ (- (+ 1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (/ (* a c) (pow b_2 2))) (pow b_2 2))
(/.f64 (fma.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 #s(literal 4 binary64))) (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 c (*.f64 b_2 b_2)) #s(literal 1 binary64))) (*.f64 b_2 b_2))
(/ (- (+ 1 (* -1 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (/ (* a c) (pow b_2 2)))) (pow b_2 2))
(/.f64 (-.f64 (fma.f64 (neg.f64 (*.f64 a (*.f64 a a))) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 1 binary64)) (fma.f64 a (/.f64 c (*.f64 b_2 b_2)) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (neg.f64 (pow.f64 b_2 #s(literal 4 binary64)))))) (*.f64 b_2 b_2))
(/ 1 (pow b_2 2))
(/.f64 #s(literal 1 binary64) (*.f64 b_2 b_2))
(/ (+ 1 (* -1 (/ (* a c) (pow b_2 2)))) (pow b_2 2))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 c (*.f64 b_2 b_2)) #s(literal 1 binary64)) (*.f64 b_2 b_2))
(/ (- (+ 1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (/ (* a c) (pow b_2 2))) (pow b_2 2))
(/.f64 (fma.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 #s(literal 4 binary64))) (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 c (*.f64 b_2 b_2)) #s(literal 1 binary64))) (*.f64 b_2 b_2))
(/ (- (+ 1 (* -1 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (/ (* a c) (pow b_2 2)))) (pow b_2 2))
(/.f64 (-.f64 (fma.f64 (neg.f64 (*.f64 a (*.f64 a a))) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 1 binary64)) (fma.f64 a (/.f64 c (*.f64 b_2 b_2)) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (neg.f64 (pow.f64 b_2 #s(literal 4 binary64)))))) (*.f64 b_2 b_2))
(/ 1 (pow b_2 2))
(/.f64 #s(literal 1 binary64) (*.f64 b_2 b_2))
(+ (* -1 (/ (* a c) (pow b_2 4))) (/ 1 (pow b_2 2)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b_2 b_2)) (*.f64 a (/.f64 c (pow.f64 b_2 #s(literal 4 binary64)))))
(+ (* a (- (/ (* a (pow c 2)) (pow b_2 6)) (/ c (pow b_2 4)))) (/ 1 (pow b_2 2)))
(fma.f64 a (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b_2 #s(literal 6 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 c (pow.f64 b_2 #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 b_2 b_2)))
(+ (* a (- (* a (- (* -1 (/ (* a (pow c 3)) (pow b_2 8))) (* -1 (/ (pow c 2) (pow b_2 6))))) (/ c (pow b_2 4)))) (/ 1 (pow b_2 2)))
(fma.f64 a (fma.f64 a (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b_2 #s(literal 8 binary64))) (/.f64 (*.f64 c c) (pow.f64 b_2 #s(literal 6 binary64)))) (-.f64 #s(literal 0 binary64) (/.f64 c (pow.f64 b_2 #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 b_2 b_2)))
(/ 1 (* a c))
(/.f64 #s(literal 1 binary64) (*.f64 c a))
(/ (+ (* -1 (/ (pow b_2 2) (* a (pow c 2)))) (/ 1 c)) a)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 b_2 b_2) (*.f64 a (*.f64 c c)))) a)
(/ (- (+ (/ 1 c) (/ (pow b_2 4) (* (pow a 2) (pow c 3)))) (/ (pow b_2 2) (* a (pow c 2)))) a)
(/.f64 (+.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a))) (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 b_2 b_2) (*.f64 a (*.f64 c c))))) a)
(/ (- (+ (* -1 (/ (pow b_2 6) (* (pow a 3) (pow c 4)))) (/ 1 c)) (+ (* -1 (/ (pow b_2 4) (* (pow a 2) (pow c 3)))) (/ (pow b_2 2) (* a (pow c 2))))) a)
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 4 binary64))))) (-.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a (*.f64 c c))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a))))) a)
(/ 1 (* a c))
(/.f64 #s(literal 1 binary64) (*.f64 c a))
(* -1 (/ (- (/ (pow b_2 2) (* a (pow c 2))) (/ 1 c)) a))
(/.f64 (+.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a (*.f64 c c))) (/.f64 #s(literal -1 binary64) c)) (-.f64 #s(literal 0 binary64) a))
(* -1 (/ (- (* -1 (/ (- (/ (pow b_2 4) (* a (pow c 3))) (/ (pow b_2 2) (pow c 2))) a)) (/ 1 c)) a))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 (*.f64 a (*.f64 c c)) c)) (/.f64 (*.f64 b_2 b_2) (*.f64 c c))) (-.f64 #s(literal 0 binary64) a)) (/.f64 #s(literal -1 binary64) c)) (-.f64 #s(literal 0 binary64) a))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 6) (* a (pow c 4))) (/ (pow b_2 4) (pow c 3))) a)) (/ (pow b_2 2) (pow c 2))) a)) (/ 1 c)) a))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 c (*.f64 c c)))) (-.f64 #s(literal 0 binary64) a)) (/.f64 (*.f64 b_2 b_2) (*.f64 c c))) (-.f64 #s(literal 0 binary64) a)) (/.f64 #s(literal -1 binary64) c)) (-.f64 #s(literal 0 binary64) a))
(/ 1 (pow b_2 2))
(/.f64 #s(literal 1 binary64) (*.f64 b_2 b_2))
(+ (* -1 (/ (* a c) (pow b_2 4))) (/ 1 (pow b_2 2)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b_2 b_2)) (*.f64 a (/.f64 c (pow.f64 b_2 #s(literal 4 binary64)))))
(+ (* c (- (/ (* (pow a 2) c) (pow b_2 6)) (/ a (pow b_2 4)))) (/ 1 (pow b_2 2)))
(fma.f64 c (fma.f64 (*.f64 a a) (/.f64 c (pow.f64 b_2 #s(literal 6 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 a (pow.f64 b_2 #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 b_2 b_2)))
(+ (* c (- (* c (- (* -1 (/ (* (pow a 3) c) (pow b_2 8))) (* -1 (/ (pow a 2) (pow b_2 6))))) (/ a (pow b_2 4)))) (/ 1 (pow b_2 2)))
(fma.f64 c (-.f64 (*.f64 c (fma.f64 (*.f64 a (*.f64 a a)) (neg.f64 (/.f64 c (pow.f64 b_2 #s(literal 8 binary64)))) (/.f64 (*.f64 a a) (pow.f64 b_2 #s(literal 6 binary64))))) (/.f64 a (pow.f64 b_2 #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 b_2 b_2)))
(/ 1 (* a c))
(/.f64 #s(literal 1 binary64) (*.f64 c a))
(/ (+ (* -1 (/ (pow b_2 2) (* (pow a 2) c))) (/ 1 a)) c)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 b_2 b_2) (*.f64 c (*.f64 a a)))) c)
(/ (- (+ (/ 1 a) (/ (pow b_2 4) (* (pow a 3) (pow c 2)))) (/ (pow b_2 2) (* (pow a 2) c))) c)
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 (*.f64 c (*.f64 a (*.f64 a a))) c))) (/.f64 (*.f64 b_2 b_2) (*.f64 c (*.f64 a a)))) c)
(/ (- (+ (* -1 (/ (pow b_2 6) (* (pow a 4) (pow c 3)))) (/ 1 a)) (+ (* -1 (/ (pow b_2 4) (* (pow a 3) (pow c 2)))) (/ (pow b_2 2) (* (pow a 2) c)))) c)
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 4 binary64))))) (-.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 (*.f64 c (*.f64 a (*.f64 a a))) c)))) c)
(/ 1 (* a c))
(/.f64 #s(literal 1 binary64) (*.f64 c a))
(* -1 (/ (- (/ (pow b_2 2) (* (pow a 2) c)) (/ 1 a)) c))
(/.f64 (+.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 c (*.f64 a a))) (/.f64 #s(literal -1 binary64) a)) (-.f64 #s(literal 0 binary64) c))
(* -1 (/ (- (* -1 (/ (- (/ (pow b_2 4) (* (pow a 3) c)) (/ (pow b_2 2) (pow a 2))) c)) (/ 1 a)) c))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 c (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 b_2 b_2) (*.f64 a a))) (-.f64 #s(literal 0 binary64) c)) (/.f64 #s(literal -1 binary64) a)) (-.f64 #s(literal 0 binary64) c))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 6) (* (pow a 4) c)) (/ (pow b_2 4) (pow a 3))) c)) (/ (pow b_2 2) (pow a 2))) c)) (/ 1 a)) c))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (*.f64 c (pow.f64 a #s(literal 4 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 a (*.f64 a a)))) (-.f64 #s(literal 0 binary64) c)) (/.f64 (*.f64 b_2 b_2) (*.f64 a a))) (-.f64 #s(literal 0 binary64) c)) (/.f64 #s(literal -1 binary64) a)) (-.f64 #s(literal 0 binary64) c))

eval121.0ms (1%)

Memory
44.6MiB live, 267.0MiB allocated
Compiler

Compiled 18 797 to 2 277 computations (87.9% saved)

prune117.0ms (1%)

Memory
-33.2MiB live, 262.0MiB allocated
Pruning

25 alts after pruning (20 fresh and 5 done)

PrunedKeptTotal
New1 016111 027
Fresh10919
Picked415
Done044
Total1 030251 055
Accuracy
93.7%
Counts
1 055 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
34.1%
(/.f64 (/.f64 (-.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c)) (fma.f64 b_2 b_2 #s(literal 0 binary64))) (+.f64 b_2 (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))))) a)
4.5%
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 b_2 b_2) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 b_2 (+.f64 b_2 b_2) (*.f64 #s(literal 0 binary64) (+.f64 b_2 b_2))))) a)
34.2%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) b_2)) a)
29.1%
(/.f64 (-.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c)) (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))))))
37.7%
(/.f64 (-.f64 (*.f64 (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))) a) (*.f64 a b_2)) (*.f64 a a))
57.8%
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
40.2%
(/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2) a)
30.9%
(/.f64 (+.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))))) a)
40.2%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 c a))))) a)
2.7%
(/.f64 (+.f64 b_2 b_2) a)
32.1%
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
34.3%
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
2.7%
(/.f64 #s(literal 2 binary64) (/.f64 a b_2))
4.8%
(/.f64 #s(literal 2 binary64) (*.f64 a b_2))
57.6%
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))) b_2)))
6.9%
(*.f64 (/.f64 b_2 (*.f64 b_2 (*.f64 b_2 a))) #s(literal 2 binary64))
2.7%
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 b_2 b_2)) #s(literal -1 binary64)))
57.7%
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))) b_2))
2.7%
(*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b_2 b_2))
34.2%
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
32.0%
(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))
8.3%
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) a))
9.5%
(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
6.3%
(*.f64 #s(literal -2 binary64) (/.f64 (/.f64 b_2 a) (fma.f64 b_2 b_2 #s(literal 0 binary64))))
10.0%
#s(literal 0 binary64)
Compiler

Compiled 1 292 to 451 computations (65.1% saved)

regimes72.0ms (0.6%)

Memory
11.8MiB live, 166.1MiB allocated
Counts
54 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 (+.f64 b_2 b_2) a)
(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
(*.f64 #s(literal 2 binary64) (/.f64 b_2 a))
(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(/.f64 #s(literal 2 binary64) (*.f64 a b_2))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/.f64 (+.f64 (neg.f64 b_2) b_2) a)
(*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b_2 b_2))
(/.f64 #s(literal 2 binary64) (/.f64 a b_2))
(/.f64 #s(literal 1 binary64) (/.f64 a (+.f64 b_2 b_2)))
(*.f64 (/.f64 b_2 (*.f64 b_2 (*.f64 b_2 a))) #s(literal 2 binary64))
(/.f64 (fma.f64 b_2 a (*.f64 a b_2)) (*.f64 a a))
(/.f64 (+.f64 b_2 (sqrt.f64 (*.f64 b_2 b_2))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 b_2))) a)
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a c) b_2)) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2) a)
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) a)
(*.f64 #s(literal -2 binary64) (/.f64 (/.f64 b_2 a) (fma.f64 b_2 b_2 #s(literal 0 binary64))))
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 b_2 a) (fma.f64 b_2 b_2 #s(literal 0 binary64))))
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) a))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) b_2)) a)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) b_2)) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)))) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))) b_2) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))) b_2))
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 2 binary64)) b_2) (/.f64 b_2 b_2))
(*.f64 c (fma.f64 c (/.f64 (*.f64 a #s(literal -1/8 binary64)) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 #s(literal -1/2 binary64) b_2)))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))) b_2)))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 c a))))) a)
(/.f64 (-.f64 (*.f64 (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))) a) (*.f64 a b_2)) (*.f64 a a))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))))) a)
(/.f64 (+.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))))) a)
(/.f64 (-.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c)) (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))))))
(/.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))) (*.f64 a (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))))))
(/.f64 (/.f64 (-.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c)) (fma.f64 b_2 b_2 #s(literal 0 binary64))) (+.f64 b_2 (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))))) a)
(/.f64 (/.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))) (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c))))))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) b_2) (neg.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 a c))) (fma.f64 b_2 b_2 (*.f64 a c))))))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (/.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (neg.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 a c))) (fma.f64 b_2 b_2 (*.f64 a c))))))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (/.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (neg.f64 (*.f64 (*.f64 a (*.f64 a c)) (/.f64 c (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (/.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (neg.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (/.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (neg.f64 (*.f64 (*.f64 a (*.f64 a c)) (*.f64 c (/.f64 #s(literal 1 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))))) a)
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 b_2 b_2)) #s(literal -1 binary64)))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 (fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))) (neg.f64 (fma.f64 b_2 (fma.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 a (*.f64 c (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))))) a)
(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1/4 binary64))) a)
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 b_2 b_2) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 b_2 (+.f64 b_2 b_2) (*.f64 #s(literal 0 binary64) (+.f64 b_2 b_2))))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (/.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (fma.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 c (*.f64 a (*.f64 a c))))) (/.f64 (*.f64 a (*.f64 c (*.f64 c (*.f64 a (*.f64 a c))))) (fma.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 c (*.f64 a (*.f64 a c)))))))) a)
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c (*.f64 c (*.f64 a (*.f64 a c)))) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))) b_2) (*.f64 (sqrt.f64 (fma.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 c (*.f64 a (*.f64 a c))))) (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (*.f64 (sqrt.f64 (fma.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 c (*.f64 a (*.f64 a c))))) b_2)) a)
Outputs
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
Calls

4 calls:

19.0ms
a
17.0ms
b_2
17.0ms
c
15.0ms
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Results
AccuracySegmentsBranch
57.8%1a
88.8%3b_2
57.8%1c
78.2%5(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Compiler

Compiled 28 to 19 computations (32.1% saved)

regimes9.0ms (0.1%)

Memory
17.2MiB live, 17.2MiB allocated
Counts
26 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 (+.f64 b_2 b_2) a)
(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
(*.f64 #s(literal 2 binary64) (/.f64 b_2 a))
(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(/.f64 #s(literal 2 binary64) (*.f64 a b_2))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/.f64 (+.f64 (neg.f64 b_2) b_2) a)
(*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b_2 b_2))
(/.f64 #s(literal 2 binary64) (/.f64 a b_2))
(/.f64 #s(literal 1 binary64) (/.f64 a (+.f64 b_2 b_2)))
(*.f64 (/.f64 b_2 (*.f64 b_2 (*.f64 b_2 a))) #s(literal 2 binary64))
(/.f64 (fma.f64 b_2 a (*.f64 a b_2)) (*.f64 a a))
(/.f64 (+.f64 b_2 (sqrt.f64 (*.f64 b_2 b_2))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 b_2))) a)
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a c) b_2)) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2) a)
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) a)
(*.f64 #s(literal -2 binary64) (/.f64 (/.f64 b_2 a) (fma.f64 b_2 b_2 #s(literal 0 binary64))))
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 b_2 a) (fma.f64 b_2 b_2 #s(literal 0 binary64))))
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) a))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) b_2)) a)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) b_2)) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)))) a)
Outputs
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
Calls

1 calls:

8.0ms
b_2
Results
AccuracySegmentsBranch
86.8%3b_2
Compiler

Compiled 4 to 3 computations (25% saved)

regimes32.0ms (0.3%)

Memory
-15.8MiB live, 20.5MiB allocated
Counts
18 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 (+.f64 b_2 b_2) a)
(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
(*.f64 #s(literal 2 binary64) (/.f64 b_2 a))
(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(/.f64 #s(literal 2 binary64) (*.f64 a b_2))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/.f64 (+.f64 (neg.f64 b_2) b_2) a)
(*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b_2 b_2))
(/.f64 #s(literal 2 binary64) (/.f64 a b_2))
(/.f64 #s(literal 1 binary64) (/.f64 a (+.f64 b_2 b_2)))
(*.f64 (/.f64 b_2 (*.f64 b_2 (*.f64 b_2 a))) #s(literal 2 binary64))
(/.f64 (fma.f64 b_2 a (*.f64 a b_2)) (*.f64 a a))
(/.f64 (+.f64 b_2 (sqrt.f64 (*.f64 b_2 b_2))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 b_2))) a)
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a c) b_2)) a)
Outputs
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
Calls

2 calls:

25.0ms
b_2
5.0ms
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Results
AccuracySegmentsBranch
48.2%3(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
63.9%2b_2
Compiler

Compiled 20 to 13 computations (35% saved)

regimes4.0ms (0%)

Memory
6.7MiB live, 6.8MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 (+.f64 b_2 b_2) a)
(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
(*.f64 #s(literal 2 binary64) (/.f64 b_2 a))
(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(/.f64 #s(literal 2 binary64) (*.f64 a b_2))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
Outputs
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))
Calls

1 calls:

3.0ms
b_2
Results
AccuracySegmentsBranch
63.8%2b_2
Compiler

Compiled 4 to 3 computations (25% saved)

regimes4.0ms (0%)

Memory
6.5MiB live, 6.4MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 (+.f64 b_2 b_2) a)
(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
(*.f64 #s(literal 2 binary64) (/.f64 b_2 a))
(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(/.f64 #s(literal 2 binary64) (*.f64 a b_2))
Outputs
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))
Calls

1 calls:

3.0ms
b_2
Results
AccuracySegmentsBranch
63.7%2b_2
Compiler

Compiled 4 to 3 computations (25% saved)

regimes35.0ms (0.3%)

Memory
-16.8MiB live, 18.9MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 (+.f64 b_2 b_2) a)
(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
(*.f64 #s(literal 2 binary64) (/.f64 b_2 a))
(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))
Outputs
(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))
Calls

4 calls:

27.0ms
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
2.0ms
b_2
2.0ms
a
2.0ms
c
Results
AccuracySegmentsBranch
32.0%1(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
32.0%1a
32.0%1c
32.0%1b_2
Compiler

Compiled 28 to 19 computations (32.1% saved)

regimes9.0ms (0.1%)

Memory
19.8MiB live, 19.8MiB allocated
Accuracy

Total -5.4b remaining (-9.4%)

Threshold costs -5.4b (-9.4%)

Counts
4 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 (+.f64 b_2 b_2) a)
(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
(*.f64 #s(literal 2 binary64) (/.f64 b_2 a))
Outputs
#s(literal 0 binary64)
Calls

4 calls:

2.0ms
a
2.0ms
b_2
2.0ms
c
2.0ms
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Results
AccuracySegmentsBranch
10.0%1a
10.0%1b_2
10.0%1(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
10.0%1c
Compiler

Compiled 28 to 19 computations (32.1% saved)

bsearch43.0ms (0.4%)

Memory
-17.0MiB live, 57.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
predicate-same
Steps
TimeLeftRight
17.0ms
2.054883567907685e-13
2.740746173380148e-11
11.0ms
-3.3079733711102337e+158
-6.1767225984627266e+150
Samples
12.0ms132×0valid
4.0ms25×2valid
4.0ms32×1valid
1.0ms3valid
0.0ms0invalid
Compiler

Compiled 319 to 220 computations (31% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-sub: 5.0ms (31.3% of total)
ival-mult: 3.0ms (18.8% of total)
ival-div: 2.0ms (12.5% of total)
ival-sqrt: 2.0ms (12.5% of total)
adjust: 1.0ms (6.3% of total)
ival-neg: 1.0ms (6.3% of total)
ival-add: 1.0ms (6.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch43.0ms (0.4%)

Memory
39.3MiB live, 74.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
22.0ms
2.054883567907685e-13
2.740746173380148e-11
17.0ms
-1.5068295806832575e-52
-3.889992602735304e-61
Samples
13.0ms192×0valid
8.0ms21×2valid
5.0ms42×1valid
3.0ms47×0invalid
0.0ms3valid
Compiler

Compiled 387 to 288 computations (25.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-sqrt: 7.0ms (33.3% of total)
ival-mult: 5.0ms (23.8% of total)
ival-div: 3.0ms (14.3% of total)
ival-neg: 2.0ms (9.5% of total)
ival-sub: 2.0ms (9.5% of total)
ival-add: 2.0ms (9.5% of total)
adjust: 1.0ms (4.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch34.0ms (0.3%)

Memory
8.0MiB live, 78.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
31.0ms
-1.1546040007748519e-294
3.3575607126428713e-302
Samples
17.0ms176×0valid
6.0ms95×0invalid
Compiler

Compiled 217 to 170 computations (21.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 3.0ms (27.7% of total)
ival-div: 2.0ms (18.5% of total)
ival-sqrt: 2.0ms (18.5% of total)
ival-sub: 1.0ms (9.2% of total)
ival-add: 1.0ms (9.2% of total)
ival-neg: 1.0ms (9.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch45.0ms (0.4%)

Memory
-26.1MiB live, 90.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
38.0ms
-1.1546040007748519e-294
3.3575607126428713e-302
Samples
23.0ms176×0valid
6.0ms80×0invalid
Compiler

Compiled 217 to 170 computations (21.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 3.0ms (28.4% of total)
ival-div: 2.0ms (18.9% of total)
ival-sqrt: 2.0ms (18.9% of total)
ival-sub: 1.0ms (9.5% of total)
ival-add: 1.0ms (9.5% of total)
ival-neg: 1.0ms (9.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch52.0ms (0.4%)

Memory
-13.3MiB live, 79.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
29.0ms
-1.1546040007748519e-294
3.3575607126428713e-302
Samples
12.0ms176×0valid
10.0ms73×0invalid
Compiler

Compiled 217 to 170 computations (21.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 3.0ms (30% of total)
ival-div: 2.0ms (20% of total)
ival-sqrt: 2.0ms (20% of total)
ival-sub: 1.0ms (10% of total)
ival-add: 1.0ms (10% of total)
ival-neg: 1.0ms (10% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify10.0ms (0.1%)

Memory
21.5MiB live, 21.5MiB allocated
Algorithm
egg-herbie
Rules
18×*-commutative_binary64
14×+-commutative_binary64
14×sub-neg_binary64
neg-mul-1_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046105
166105
281105
388105
491105
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 b_2 #s(literal -999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal 3713820117856141/4951760157141521099596496896 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -5088519546561747/28269553036454149273332760011886696253239742350009903329945699220681916416 binary64)) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal 2574915281713591/9903520314283042199192993792 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
(if (<=.f64 b_2 #s(literal 151801689980483/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
(if (<=.f64 b_2 #s(literal 101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))
#s(literal 0 binary64)
Outputs
(if (<=.f64 b_2 #s(literal -999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal 3713820117856141/4951760157141521099596496896 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -5088519546561747/28269553036454149273332760011886696253239742350009903329945699220681916416 binary64)) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal 2574915281713591/9903520314283042199192993792 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -5088519546561747/28269553036454149273332760011886696253239742350009903329945699220681916416 binary64)) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal 2574915281713591/9903520314283042199192993792 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))) b_2) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
(if (<=.f64 b_2 #s(literal 151801689980483/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
(if (<=.f64 b_2 #s(literal 101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
(if (<=.f64 b_2 #s(literal 101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))
#s(literal 0 binary64)

soundness1.1s (9%)

Memory
-6.2MiB live, 992.6MiB allocated
Rules
11 022×accelerator-lowering-fma.f32
11 022×accelerator-lowering-fma.f64
10 820×accelerator-lowering-fma.f32
10 820×accelerator-lowering-fma.f64
7 132×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05083176
116063136
255203120
087822984
0137510963
145179947
086519550
09718206
131298086
081697788
040197
1251173
22381167
010005154
01039
15737
245637
3587437
0892633
028132
1180116
01546111
037340
1257272
22323128
08463124
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 306 to 183 computations (40.2% saved)

preprocess70.0ms (0.6%)

Memory
-6.9MiB live, 148.8MiB allocated
Compiler

Compiled 434 to 162 computations (62.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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