quad2p (problem 3.2.1, positive)

Time bar (total: 9.0s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze106.0ms (1.2%)

Memory
20.0MiB live, 138.8MiB 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)

sample1.4s (15.4%)

Memory
38.9MiB live, 1 559.3MiB allocated
Samples
416.0ms5 568×0valid
259.0ms1 209×2valid
205.0ms1 293×1valid
82.0ms1 065×0invalid
45.0ms186×3valid
Precisions
Click to see histograms. Total time spent on operations: 676.0ms
ival-mult: 178.0ms (26.3% of total)
ival-sqrt: 120.0ms (17.8% of total)
ival-div: 103.0ms (15.2% of total)
ival-add: 75.0ms (11.1% of total)
adjust: 73.0ms (10.8% of total)
ival-sub: 71.0ms (10.5% of total)
ival-neg: 46.0ms (6.8% of total)
ival-true: 6.0ms (0.9% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain145.0ms (1.6%)

Memory
-27.5MiB live, 218.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1050-1(404203402.9858742 -1.2045955862200706e+308 8.20268236908585e+88)(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
4533(-8.010304464738378e-60 2.232894086601087e+278 1.201786769562366e-55)0-(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
180-17(-1.0611780506109634e-245 2.924230318462741e-17 3.366879029653438e-232)(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
20-2(-5.2248672413909825e+253 -1.8598588890752626e+263 -6.3512966334912304e+271)(-.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-rescue950
(*.f64 b_2 b_2)overflow78
(*.f64 a c)overflow27
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))overflow96
+.f64(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))cancellation780
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))uflow-rescue90
(*.f64 b_2 b_2)underflow41
(*.f64 a c)underflow39
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))underflow9
/.f64(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)o/n10
(*.f64 b_2 b_2)overflow78
(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))overflow1
(*.f64 a c)overflow27
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))overflow96
Confusion
Predicted +Predicted -
+1150
-24117
Precision
0.8273381294964028
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+11500
-240117
Precision?
0.8273381294964028
Recall?
1.0
Freqs
test
numberfreq
0117
195
244
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
29.0ms358×0valid
20.0ms86×2valid
8.0ms54×1valid
4.0ms14×3valid
Compiler

Compiled 167 to 44 computations (73.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-mult: 9.0ms (24.8% of total)
ival-sqrt: 6.0ms (16.5% of total)
ival-div: 5.0ms (13.8% of total)
ival-sub: 4.0ms (11% of total)
adjust: 4.0ms (11% of total)
ival-add: 4.0ms (11% of total)
ival-neg: 4.0ms (11% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess111.0ms (1.2%)

Memory
-9.5MiB live, 68.4MiB allocated
Algorithm
egg-herbie
Rules
986×div-sub
756×times-frac
416×lower-fma.f64
416×lower-fma.f32
416×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044118
1114111
2245109
3674109
41757109
53192109
63780109
73870109
83962109
93994109
103994109
01013
01713
12812
24512
37412
411312
518912
631912
746412
880712
992012
1095212
1196312
1296412
096412
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Outputs
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))) b_2) a)
Compiler

Compiled 13 to 10 computations (23.1% saved)

eval0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.1%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify26.0ms (0.3%)

Memory
28.7MiB live, 28.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
cost-diff0
(neg.f64 b_2)
cost-diff0
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
cost-diff128
(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
Rules
416×lower-fma.f64
416×lower-fma.f32
264×lower-*.f32
260×lower-*.f64
142×div-sub
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01050
01750
12848
24548
37448
411348
518948
631948
746448
880748
992048
1095248
1196348
1296448
096448
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
(neg.f64 b_2)
b_2
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(*.f64 b_2 b_2)
(*.f64 a c)
a
c
Outputs
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))) b_2) a)
(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
(-.f64 (sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))) b_2)
(neg.f64 b_2)
b_2
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
(sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))
(*.f64 b_2 b_2)
(*.f64 a c)
(*.f64 c a)
a
c

localize129.0ms (1.4%)

Memory
-25.9MiB live, 54.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.40234375000000006
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
accuracy3.9585124078406713
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
accuracy10.485488510971514
(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
accuracy24.470699255071118
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
Samples
19.0ms179×0valid
10.0ms43×2valid
4.0ms27×1valid
2.0ms3valid
Compiler

Compiled 52 to 12 computations (76.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-sub: 8.0ms (33.6% of total)
ival-sqrt: 4.0ms (16.8% of total)
ival-mult: 4.0ms (16.8% of total)
ival-div: 3.0ms (12.6% of total)
adjust: 2.0ms (8.4% of total)
ival-add: 2.0ms (8.4% of total)
ival-neg: 1.0ms (4.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series21.0ms (0.2%)

Memory
15.7MiB live, 15.7MiB allocated
Counts
5 → 156
Calls
Call 1
Inputs
#s(alt (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (patch (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) #<representation binary64>) () ())
#s(alt (neg.f64 b_2) (patch (neg.f64 b_2) #<representation binary64>) () ())
#s(alt (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (patch (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (patch (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #<representation binary64>) () ())
Outputs
#s(alt (* -1/2 (/ (* a c) b_2)) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (patch (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (patch (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) #<representation binary64>) () ())) ())
#s(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))))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (patch (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) #<representation binary64>) () ())) ())
#s(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))))))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (patch (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b_2)) (taylor 0 a) (#s(alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))) (taylor 0 a) (#s(alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) #<representation binary64>) () ())) ())
#s(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)))))) (taylor 0 a) (#s(alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor 0 a) (#s(alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) #<representation binary64>) () ())) ())
#s(alt b_2 (taylor 0 a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (patch (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (+ b_2 (* -1/2 (/ (* a c) b_2))) (taylor 0 a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (patch (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))) (taylor 0 a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (patch (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor 0 a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (patch (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (pow b_2 2) (taylor 0 a) (#s(alt (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (patch (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a c)) (pow b_2 2)) (taylor 0 a) (#s(alt (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (patch (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a c)) (pow b_2 2)) (taylor 0 a) (#s(alt (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (patch (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a c)) (pow b_2 2)) (taylor 0 a) (#s(alt (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (patch (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -1)) (taylor inf a) (#s(alt (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (patch (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))) (taylor inf a) (#s(alt (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (patch (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) #<representation binary64>) () ())) ())
#s(alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))) (taylor inf a) (#s(alt (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (patch (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) #<representation binary64>) () ())) ())
#s(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))) (taylor inf a) (#s(alt (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (patch (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ c a)) (sqrt -1)) (taylor inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) (taylor inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (taylor inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -1)) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (patch (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (patch (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (patch (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (* a c)) (pow b_2 2)) (taylor 0 c) (#s(alt (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (patch (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #<representation binary64>) () ())) ())
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#s(alt (* -1 b_2) (taylor inf b_2) (#s(alt (neg.f64 b_2) (patch (neg.f64 b_2) #<representation binary64>) () ())) ())
#s(alt (* -1 b_2) (taylor inf b_2) (#s(alt (neg.f64 b_2) (patch (neg.f64 b_2) #<representation binary64>) () ())) ())
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#s(alt (* -2 (/ b_2 a)) (taylor -inf b_2) (#s(alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))) (taylor -inf b_2) (#s(alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a)))))) (taylor -inf b_2) (#s(alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) #<representation binary64>) () ())) ())
#s(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))))))) (taylor -inf b_2) (#s(alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) #<representation binary64>) () ())) ())
#s(alt (* -1 b_2) (taylor -inf b_2) (#s(alt (neg.f64 b_2) (patch (neg.f64 b_2) #<representation binary64>) () ())) ())
#s(alt (* -1 b_2) (taylor -inf b_2) (#s(alt (neg.f64 b_2) (patch (neg.f64 b_2) #<representation binary64>) () ())) ())
#s(alt (* -1 b_2) (taylor -inf b_2) (#s(alt (neg.f64 b_2) (patch (neg.f64 b_2) #<representation binary64>) () ())) ())
#s(alt (* -1 b_2) (taylor -inf b_2) (#s(alt (neg.f64 b_2) (patch (neg.f64 b_2) #<representation binary64>) () ())) ())
#s(alt (* -1 b_2) (taylor -inf b_2) (#s(alt (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (patch (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))) (taylor -inf b_2) (#s(alt (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (patch (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(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))))))) (taylor -inf b_2) (#s(alt (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (patch (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor -inf b_2) (#s(alt (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (patch (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (pow b_2 2) (taylor -inf b_2) (#s(alt (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (patch (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2))))) (taylor -inf b_2) (#s(alt (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (patch (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2))))) (taylor -inf b_2) (#s(alt (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (patch (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2))))) (taylor -inf b_2) (#s(alt (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (patch (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
2.0ms
a
@-inf
((+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)))
2.0ms
b_2
@0
((+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)))
2.0ms
a
@inf
((+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)))
2.0ms
c
@inf
((+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)))
2.0ms
b_2
@inf
((+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)))

simplify190.0ms (2.1%)

Memory
-22.9MiB live, 138.8MiB allocated
Algorithm
egg-herbie
Rules
11 022×lower-fma.f64
11 022×lower-fma.f32
7 132×lower-*.f64
7 132×lower-*.f32
3 498×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05083200
116063160
255233144
087873008
Stop Event
iter limit
node limit
Counts
156 → 153
Calls
Call 1
Inputs
(* -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)))))))))
(* -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))))))))
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))))))))
(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))
(* (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)))
(* (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)))))
(* (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 (* a c))
(* a (- (/ (pow b_2 2) a) c))
(* a (- (/ (pow b_2 2) a) c))
(* a (- (/ (pow b_2 2) a) c))
(* -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 (* (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 (* (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)))))))
(* -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))))
(* -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)))))))))
(* -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))))
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))))))))
(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))
(* (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)))
(* (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))))))
(* (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 (* a c))
(* c (- (/ (pow b_2 2) c) a))
(* c (- (/ (pow b_2 2) c) a))
(* c (- (/ (pow b_2 2) c) a))
(* -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)))))
(* -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)))))
(* -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))
(* -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))))
(* (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)))
(* (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 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* (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)))))))))
(* -1 (* a c))
(- (pow b_2 2) (* a c))
(- (pow b_2 2) (* a c))
(- (pow b_2 2) (* a c))
(* -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)
(* -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)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
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)))))))
(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)))))
(* -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))))))))
(* -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 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -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))))))))
(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)))))
Outputs
(* -1/2 (/ (* a c) b_2))
(*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b_2 #s(literal 3 binary64)))) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a)
(* 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 (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a)
(* 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 (fma.f64 (fma.f64 (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 (pow.f64 c #s(literal 3 binary64)) #s(literal -1/16 binary64)) (pow.f64 b_2 #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a)
(* -1/2 (/ c b_2))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b_2 #s(literal 3 binary64)))) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(+ (* -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 (fma.f64 (*.f64 #s(literal -1/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(+ (* -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 (fma.f64 (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 (pow.f64 c #s(literal 3 binary64)) #s(literal -1/16 binary64)) (pow.f64 b_2 #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(fma.f64 (*.f64 a #s(literal -1/2 binary64)) (/.f64 c b_2) b_2)
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b_2 #s(literal 3 binary64)))) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a 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 (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a b_2)
(pow b_2 2)
(*.f64 b_2 b_2)
(+ (* -1 (* a c)) (pow b_2 2))
(fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))
(+ (* -1 (* a c)) (pow b_2 2))
(fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))
(+ (* -1 (* a c)) (pow b_2 2))
(fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))
(* (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))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (neg.f64 b_2) a)) 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 (fma.f64 (*.f64 (*.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (neg.f64 b_2) a))) 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)))
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (neg.f64 b_2) a)))) a)
(* (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)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (neg.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 (*.f64 (*.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (neg.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 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (neg.f64 b_2) a))))
(* (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))))
(*.f64 (fma.f64 (*.f64 (*.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) 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)))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))) a)
(* 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 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 (*.f64 (*.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))))) a)
(* -1 (* a c))
(*.f64 (neg.f64 a) c)
(* a (- (/ (pow b_2 2) a) c))
(*.f64 (-.f64 (*.f64 b_2 (/.f64 b_2 a)) c) a)
(* a (- (/ (pow b_2 2) a) c))
(*.f64 (-.f64 (*.f64 b_2 (/.f64 b_2 a)) c) a)
(* a (- (/ (pow b_2 2) a) c))
(*.f64 (-.f64 (*.f64 b_2 (/.f64 b_2 a)) c) a)
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(*.f64 (neg.f64 a) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 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)))))
(*.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64)) (neg.f64 b_2)) a)) a)
(* -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)))))
(*.f64 (neg.f64 a) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (pow.f64 b_2 #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)))) a) b_2) a)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))
(+ (* -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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) 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)))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (pow.f64 b_2 #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64)))) a) b_2) a))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(*.f64 (neg.f64 a) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))))
(* -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 (neg.f64 a) (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 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))))
(* -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 (neg.f64 a) (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 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))))))
(* -1 (* a c))
(*.f64 (neg.f64 a) c)
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(*.f64 (-.f64 (*.f64 b_2 (/.f64 b_2 a)) c) a)
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(*.f64 (-.f64 (*.f64 b_2 (/.f64 b_2 a)) c) a)
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(*.f64 (-.f64 (*.f64 b_2 (/.f64 b_2 a)) c) a)
(* -1/2 (/ (* a c) b_2))
(*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))
(*.f64 (fma.f64 (*.f64 c #s(literal -1/8 binary64)) (*.f64 a (/.f64 a (pow.f64 b_2 #s(literal 3 binary64)))) (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) c)
(* 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 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/16 binary64)) (/.f64 c (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) a) a) (pow.f64 b_2 #s(literal 3 binary64)))) c (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) c)
(* 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 (fma.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) (/.f64 #s(literal 5/64 binary64) b_2)) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/16 binary64)) (pow.f64 b_2 #s(literal 5 binary64)))) c (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) a) a) (pow.f64 b_2 #s(literal 3 binary64)))) c (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) c)
(* -1/2 (/ c b_2))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(*.f64 (fma.f64 (*.f64 c #s(literal -1/8 binary64)) (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b_2)) c)
(* 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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b_2
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(pow b_2 2)
(*.f64 b_2 b_2)
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(+ (* -1 (* a c)) (pow b_2 2))
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(* (sqrt (* a c)) (sqrt -1))
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(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
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(* (sqrt (/ c a)) (sqrt -1))
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(* (sqrt (* a c)) (sqrt -1))
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(* -1 (* a c))
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(* -1 (* (sqrt (* a c)) (sqrt -1)))
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(* -1 (* (sqrt (/ c a)) (sqrt -1)))
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(* -1 (* (sqrt (* a c)) (sqrt -1)))
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(* -1 (* a c))
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(* (sqrt (/ c a)) (sqrt -1))
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(fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64))))) #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) (*.f64 b_2 b_2) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))))
(+ (* (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 (fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 b_2 (/.f64 b_2 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 5 binary64)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64))) (*.f64 b_2 b_2) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) (*.f64 b_2 b_2) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))))
(* -1 (* a c))
(*.f64 (neg.f64 a) c)
(- (pow b_2 2) (* a c))
(fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))
(- (pow b_2 2) (* a c))
(fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))
(- (pow b_2 2) (* a c))
(fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) b_2))
(*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)
(/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) b_2) (*.f64 (*.f64 c a) #s(literal -1/2 binary64))) 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 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) b_2) (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (*.f64 (*.f64 c a) #s(literal -1/2 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 (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 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) b_2)))) b_2)
(* -1/2 (/ c b_2))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (*.f64 (*.f64 c c) a) 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 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (*.f64 (*.f64 c c) a) b_2) (fma.f64 (*.f64 (*.f64 a a) #s(literal -1/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (*.f64 c #s(literal -1/2 binary64)))) 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 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 5/64 binary64) (*.f64 (pow.f64 b_2 #s(literal 6 binary64)) a)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (*.f64 (*.f64 c c) a) b_2) (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #s(literal -1/16 binary64)) (pow.f64 b_2 #s(literal 4 binary64))))) b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
b_2
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 c a) b_2) b_2) #s(literal -1/2 binary64) #s(literal 1 binary64)) b_2)
(* 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 (*.f64 (*.f64 a a) c) c) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 (*.f64 c a) b_2) b_2) #s(literal -1/2 binary64) #s(literal 1 binary64))) b_2)
(* 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 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) a) a) (*.f64 c (/.f64 c (pow.f64 b_2 #s(literal 4 binary64)))) (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) (*.f64 (/.f64 (/.f64 (*.f64 c a) b_2) b_2) #s(literal -1/2 binary64)))) 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 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c a) b_2) b_2)) b_2) b_2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c a) b_2) b_2)) b_2) b_2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c a) b_2) b_2)) b_2) b_2)
(* -2 b_2)
(*.f64 #s(literal -2 binary64) b_2)
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 (*.f64 c a) b_2) b_2) #s(literal -1/2 binary64) #s(literal 2 binary64)))
(* -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 (neg.f64 b_2) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 (*.f64 c a) b_2) b_2) #s(literal -1/2 binary64) #s(literal 2 binary64))))
(* -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 (neg.f64 b_2) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 (*.f64 c a) b_2) b_2) #s(literal -1/2 binary64) #s(literal 2 binary64))) (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64))))))
(* -2 (/ b_2 a))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.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))) (* 2 (/ 1 a))))))
(*.f64 (neg.f64 b_2) (fma.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 c b_2) (fma.f64 (*.f64 (*.f64 c c) (/.f64 a (pow.f64 b_2 #s(literal 4 binary64)))) #s(literal -1/8 binary64) (/.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 (neg.f64 b_2) (fma.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 c b_2) (fma.f64 (*.f64 (*.f64 a a) #s(literal -1/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) (fma.f64 (*.f64 (*.f64 c c) (/.f64 a (pow.f64 b_2 #s(literal 4 binary64)))) #s(literal -1/8 binary64) (/.f64 #s(literal 2 binary64) a)))))
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 (*.f64 c a) b_2) b_2) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(* -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 (neg.f64 b_2) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 (*.f64 c a) b_2) b_2) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(* -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))))))))
(neg.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) a) a) (*.f64 c (/.f64 c (pow.f64 b_2 #s(literal 4 binary64)))) (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) (*.f64 (/.f64 (/.f64 (*.f64 c a) b_2) b_2) #s(literal -1/2 binary64)))) 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 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c a) b_2) b_2)) b_2) b_2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c a) b_2) b_2)) b_2) b_2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c a) b_2) b_2)) b_2) b_2)

rewrite171.0ms (1.9%)

Memory
19.8MiB live, 137.3MiB allocated
Rules
3 984×lower-fma.f64
3 984×lower-fma.f32
2 962×lower-*.f32
2 958×lower-*.f64
1 432×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01041
01741
16439
246338
3588838
0861134
Stop Event
iter limit
node limit
iter limit
Counts
5 → 449
Calls
Call 1
Inputs
(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(neg.f64 b_2)
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (pow.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 2 binary64))) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))))
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) (fma.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 c a (*.f64 b_2 b_2))) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))) (pow.f64 b_2 #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))) (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2))
(*.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 1 binary64)) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (-.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (-.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (pow.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))) #s(literal -1 binary64))))
(*.f64 (pow.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))) #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))))
(*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal -1 binary64)) (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))))
(*.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal -1 binary64))))
(*.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2))
(*.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2))
(*.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (pow.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))) #s(literal -1 binary64))))
(*.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2)))))
(*.f64 (-.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (neg.f64 (pow.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (pow.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))) #s(literal -1 binary64)))
(*.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2)))
(*.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (*.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal -1 binary64))))
(*.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal -1 binary64))
(*.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal 1 binary64))
(pow.f64 (/.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
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b_2
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(fma.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a)) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 12 binary64)))) (fma.f64 (*.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a)) (-.f64 (*.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a)) (pow.f64 b_2 #s(literal 4 binary64))) (pow.f64 b_2 #s(literal 8 binary64))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))))))
(fma.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2)))))
(fma.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64))) (fma.f64 c a (*.f64 b_2 b_2)) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2)))))
(fma.f64 (*.f64 c #s(literal -1 binary64)) a (*.f64 b_2 b_2))
(fma.f64 (exp.f64 (log.f64 b_2)) (exp.f64 (log.f64 b_2)) (*.f64 (neg.f64 (neg.f64 c)) a))
(fma.f64 (exp.f64 (log.f64 b_2)) (exp.f64 (log.f64 b_2)) (*.f64 #s(literal 1 binary64) (*.f64 c a)))
(fma.f64 (exp.f64 (log.f64 b_2)) (exp.f64 (log.f64 b_2)) (*.f64 (neg.f64 c) (neg.f64 a)))
(fma.f64 (exp.f64 (log.f64 b_2)) (exp.f64 (log.f64 b_2)) (*.f64 (neg.f64 a) (neg.f64 c)))
(fma.f64 (exp.f64 (log.f64 b_2)) (exp.f64 (log.f64 b_2)) (neg.f64 (*.f64 (neg.f64 a) c)))
(fma.f64 (exp.f64 (log.f64 b_2)) (exp.f64 (log.f64 b_2)) (*.f64 (neg.f64 a) c))
(fma.f64 (exp.f64 (log.f64 b_2)) (exp.f64 (log.f64 b_2)) (*.f64 c a))
(fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))
(fma.f64 #s(literal -1 binary64) (*.f64 c a) (*.f64 b_2 b_2))
(fma.f64 #s(literal -1 binary64) (*.f64 b_2 b_2) (*.f64 (neg.f64 (neg.f64 c)) a))
(fma.f64 #s(literal -1 binary64) (*.f64 b_2 b_2) (*.f64 #s(literal 1 binary64) (*.f64 c a)))
(fma.f64 #s(literal -1 binary64) (*.f64 b_2 b_2) (*.f64 (neg.f64 c) (neg.f64 a)))
(fma.f64 #s(literal -1 binary64) (*.f64 b_2 b_2) (*.f64 (neg.f64 a) (neg.f64 c)))
(fma.f64 #s(literal -1 binary64) (*.f64 b_2 b_2) (neg.f64 (*.f64 (neg.f64 a) c)))
(fma.f64 #s(literal -1 binary64) (*.f64 b_2 b_2) (*.f64 (neg.f64 a) c))
(fma.f64 #s(literal -1 binary64) (*.f64 b_2 b_2) (*.f64 c a))
(fma.f64 #s(literal 1 binary64) (*.f64 b_2 b_2) (*.f64 (neg.f64 (neg.f64 c)) a))
(fma.f64 #s(literal 1 binary64) (*.f64 b_2 b_2) (*.f64 #s(literal 1 binary64) (*.f64 c a)))
(fma.f64 #s(literal 1 binary64) (*.f64 b_2 b_2) (*.f64 (neg.f64 c) (neg.f64 a)))
(fma.f64 #s(literal 1 binary64) (*.f64 b_2 b_2) (*.f64 (neg.f64 a) (neg.f64 c)))
(fma.f64 #s(literal 1 binary64) (*.f64 b_2 b_2) (neg.f64 (*.f64 (neg.f64 a) c)))
(fma.f64 #s(literal 1 binary64) (*.f64 b_2 b_2) (*.f64 (neg.f64 a) c))
(fma.f64 #s(literal 1 binary64) (*.f64 b_2 b_2) (*.f64 c a))
(fma.f64 (pow.f64 b_2 #s(literal 4 binary64)) (/.f64 (*.f64 b_2 b_2) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))))))
(fma.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2)))))
(fma.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))))))
(fma.f64 (pow.f64 b_2 #s(literal 3 binary64)) (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))))))
(fma.f64 (pow.f64 b_2 #s(literal 3 binary64)) (/.f64 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2)))))
(fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))
(fma.f64 (*.f64 c a) #s(literal -1 binary64) (*.f64 b_2 b_2))
(fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))
(fma.f64 c a (*.f64 b_2 b_2))
(fma.f64 a (neg.f64 c) (*.f64 b_2 b_2))
(fma.f64 a c (*.f64 b_2 b_2))
(fma.f64 (*.f64 b_2 b_2) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))))))
(fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2)))))
(fma.f64 (*.f64 b_2 b_2) #s(literal -1 binary64) (*.f64 (neg.f64 (neg.f64 c)) a))
(fma.f64 (*.f64 b_2 b_2) #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 c a)))
(fma.f64 (*.f64 b_2 b_2) #s(literal -1 binary64) (*.f64 (neg.f64 c) (neg.f64 a)))
(fma.f64 (*.f64 b_2 b_2) #s(literal -1 binary64) (*.f64 (neg.f64 a) (neg.f64 c)))
(fma.f64 (*.f64 b_2 b_2) #s(literal -1 binary64) (neg.f64 (*.f64 (neg.f64 a) c)))
(fma.f64 (*.f64 b_2 b_2) #s(literal -1 binary64) (*.f64 (neg.f64 a) c))
(fma.f64 (*.f64 b_2 b_2) #s(literal -1 binary64) (*.f64 c a))
(fma.f64 (*.f64 b_2 b_2) #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 c)) a))
(fma.f64 (*.f64 b_2 b_2) #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 c a)))
(fma.f64 (*.f64 b_2 b_2) #s(literal 1 binary64) (*.f64 (neg.f64 c) (neg.f64 a)))
(fma.f64 (*.f64 b_2 b_2) #s(literal 1 binary64) (*.f64 (neg.f64 a) (neg.f64 c)))
(fma.f64 (*.f64 b_2 b_2) #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 a) c)))
(fma.f64 (*.f64 b_2 b_2) #s(literal 1 binary64) (*.f64 (neg.f64 a) c))
(fma.f64 (*.f64 b_2 b_2) #s(literal 1 binary64) (*.f64 c a))
(fma.f64 b_2 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2)))))
(fma.f64 b_2 b_2 (*.f64 (neg.f64 (neg.f64 c)) a))
(fma.f64 b_2 b_2 (*.f64 #s(literal 1 binary64) (*.f64 c a)))
(fma.f64 b_2 b_2 (*.f64 (neg.f64 c) (neg.f64 a)))
(fma.f64 b_2 b_2 (*.f64 (neg.f64 a) (neg.f64 c)))
(fma.f64 b_2 b_2 (neg.f64 (*.f64 (neg.f64 a) c)))
(fma.f64 b_2 b_2 (*.f64 (neg.f64 a) c))
(fma.f64 b_2 b_2 (*.f64 c a))
(sqrt.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 c a (*.f64 b_2 b_2))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))
(-.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))))
(-.f64 #s(literal 0 binary64) (fma.f64 c a (*.f64 b_2 b_2)))
(-.f64 (*.f64 (neg.f64 a) c) (*.f64 b_2 b_2))
(-.f64 (*.f64 c a) (*.f64 b_2 b_2))
(-.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 a) c))
(-.f64 (*.f64 b_2 b_2) (*.f64 c a))
(fabs.f64 (fma.f64 c a (*.f64 b_2 b_2)))
(hypot.f64 (pow.f64 (*.f64 c a) #s(literal 1 binary64)) (*.f64 b_2 b_2))
(hypot.f64 (*.f64 (neg.f64 a) c) (*.f64 b_2 b_2))
(hypot.f64 (*.f64 c a) (*.f64 b_2 b_2))
(hypot.f64 (*.f64 b_2 b_2) (pow.f64 (*.f64 c a) #s(literal 1 binary64)))
(hypot.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 a) c))
(hypot.f64 (*.f64 b_2 b_2) (*.f64 c a))
(+.f64 (-.f64 (*.f64 b_2 b_2) #s(literal 0 binary64)) (*.f64 c a))
(+.f64 (neg.f64 (*.f64 (neg.f64 a) c)) (*.f64 b_2 b_2))
(+.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2)))))
(+.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))))))
(+.f64 (*.f64 (neg.f64 a) c) (*.f64 b_2 b_2))
(+.f64 (*.f64 c a) (*.f64 b_2 b_2))
(+.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 (neg.f64 c)) a))
(+.f64 (*.f64 b_2 b_2) (*.f64 #s(literal 1 binary64) (*.f64 c a)))
(+.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 c) (neg.f64 a)))
(+.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 a) (neg.f64 c)))
(+.f64 (*.f64 b_2 b_2) (neg.f64 (*.f64 (neg.f64 a) c)))
(+.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 a) c))
(+.f64 (*.f64 b_2 b_2) (*.f64 c a))
(exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 c a (*.f64 b_2 b_2)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (fma.f64 c a (*.f64 b_2 b_2))))

eval103.0ms (1.1%)

Memory
12.6MiB live, 83.8MiB allocated
Compiler

Compiled 15 131 to 2 191 computations (85.5% saved)

prune143.0ms (1.6%)

Memory
3.8MiB live, 127.4MiB allocated
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New59210602
Fresh000
Picked011
Done000
Total59211603
Accuracy
90.7%
Counts
603 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.3%
(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) a)
37.3%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))))) a)
21.0%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))))) a)
57.1%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
20.6%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))))) a)
38.0%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
23.5%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
30.2%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (*.f64 c #s(literal -1/8 binary64)) (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b_2)) c))
32.3%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
34.3%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
34.5%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
Compiler

Compiled 367 to 264 computations (28.1% saved)

simplify155.0ms (1.7%)

Memory
-7.1MiB live, 107.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))))
cost-diff0
(neg.f64 b_2)
cost-diff0
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))))) a)
cost-diff128
(+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2)))))))
cost-diff0
(fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))
cost-diff0
(neg.f64 b_2)
cost-diff0
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
cost-diff832
(*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)))
cost-diff0
(*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))
cost-diff0
(*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)
cost-diff0
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c))
cost-diff0
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
cost-diff0
(/.f64 b_2 a)
cost-diff0
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
cost-diff0
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
cost-diff0
(pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
cost-diff0
(neg.f64 b_2)
cost-diff0
(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) a)
cost-diff128
(+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
Rules
6 174×lower-fma.f32
6 168×lower-fma.f64
3 506×lower-*.f32
3 494×lower-*.f64
2 288×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044396
073396
1128388
2279380
3737372
41618368
52884368
64989368
76939368
08170366
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) a)
(+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(neg.f64 b_2)
b_2
(pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64))
(fma.f64 c a (*.f64 b_2 b_2))
c
a
(*.f64 b_2 b_2)
#s(literal 2 binary64)
#s(literal 1/4 binary64)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
#s(literal -2 binary64)
(/.f64 b_2 a)
b_2
a
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c))
(*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)
(*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))
(/.f64 a b_2)
a
b_2
#s(literal -1/2 binary64)
c
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
(*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)))
(neg.f64 b_2)
b_2
(fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 c b_2) b_2)
(/.f64 c b_2)
c
#s(literal -1/2 binary64)
(/.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
a
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))))) a)
(+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2)))))))
(neg.f64 b_2)
b_2
(sqrt.f64 (fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))))
(fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2)))))
(*.f64 b_2 b_2)
(/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2)))
(fma.f64 c a (*.f64 b_2 b_2))
c
a
(neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))
(/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2)))
(pow.f64 (*.f64 c a) #s(literal 2 binary64))
(*.f64 c a)
#s(literal 2 binary64)
Outputs
(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) a)
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) b_2) a)
(+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(-.f64 (pow.f64 (pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) b_2)
(neg.f64 b_2)
b_2
(pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64))
(pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) #s(literal 2 binary64))
(fma.f64 c a (*.f64 b_2 b_2))
(fma.f64 a c (*.f64 b_2 b_2))
c
a
(*.f64 b_2 b_2)
#s(literal 2 binary64)
#s(literal 1/4 binary64)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
#s(literal -2 binary64)
(/.f64 b_2 a)
b_2
a
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a b_2)) c)) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a b_2)) c))
(*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a b_2)) c)
(*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 a b_2))
(/.f64 a b_2)
a
b_2
#s(literal -1/2 binary64)
c
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
(*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
(neg.f64 b_2)
b_2
(fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 c b_2) b_2)
(/.f64 c b_2)
c
#s(literal -1/2 binary64)
(/.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
a
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))))) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 a c (*.f64 b_2 b_2))) (/.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (fma.f64 a c (*.f64 b_2 b_2))))) b_2) a)
(+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2)))))))
(-.f64 (sqrt.f64 (-.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 a c (*.f64 b_2 b_2))) (/.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (fma.f64 a c (*.f64 b_2 b_2))))) b_2)
(neg.f64 b_2)
b_2
(sqrt.f64 (fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))))
(sqrt.f64 (-.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 a c (*.f64 b_2 b_2))) (/.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (fma.f64 a c (*.f64 b_2 b_2)))))
(fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2)))))
(-.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 a c (*.f64 b_2 b_2))) (/.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (fma.f64 a c (*.f64 b_2 b_2))))
(*.f64 b_2 b_2)
(/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2)))
(*.f64 (/.f64 b_2 (fma.f64 a c (*.f64 b_2 b_2))) b_2)
(fma.f64 c a (*.f64 b_2 b_2))
(fma.f64 a c (*.f64 b_2 b_2))
c
a
(neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))
(/.f64 (neg.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64))) (fma.f64 a c (*.f64 b_2 b_2)))
(/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2)))
(/.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (fma.f64 a c (*.f64 b_2 b_2)))
(pow.f64 (*.f64 c a) #s(literal 2 binary64))
(pow.f64 (*.f64 a c) #s(literal 2 binary64))
(*.f64 c a)
(*.f64 a c)
#s(literal 2 binary64)

localize219.0ms (2.4%)

Memory
-22.6MiB live, 147.5MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy10.485488510971514
(+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2)))))))
accuracy20.137490693970676
(/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2)))
accuracy24.25648614375769
(/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2)))
accuracy24.470699255071118
(sqrt.f64 (fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))))
accuracy0.00390625
(fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))
accuracy0.16015625
(/.f64 (/.f64 c b_2) b_2)
accuracy5.3076807884815596
(*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)))
accuracy41.916510715413374
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
accuracy0.0078125
(*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))
accuracy3.9585124078406713
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
accuracy5.333926077417084
(*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)
accuracy43.224947193619435
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c))
accuracy0
(/.f64 b_2 a)
accuracy0
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
accuracy41.911292338119004
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
accuracy0.24999724760556022
(fma.f64 c a (*.f64 b_2 b_2))
accuracy3.9663249078406713
(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) a)
accuracy10.486924089374908
(+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
accuracy40.502226952428956
(pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
Samples
54.0ms179×0valid
49.0ms43×2valid
16.0ms27×1valid
11.0ms3valid
Compiler

Compiled 385 to 42 computations (89.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 96.0ms
ival-pow: 24.0ms (25.1% of total)
ival-div: 20.0ms (20.9% of total)
ival-mult: 15.0ms (15.7% of total)
ival-add: 12.0ms (12.6% of total)
adjust: 7.0ms (7.3% of total)
ival-pow2: 6.0ms (6.3% of total)
ival-sqrt: 5.0ms (5.2% of total)
ival-neg: 3.0ms (3.1% of total)
ival-sub: 2.0ms (2.1% of total)
exact: 1.0ms (1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series272.0ms (3%)

Memory
34.9MiB live, 227.2MiB allocated
Counts
21 → 684
Calls
Call 1
Inputs
#s(alt (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (patch (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) a) #<representation binary64>) () ())
#s(alt (neg.f64 b_2) (patch (neg.f64 b_2) #<representation binary64>) () ())
#s(alt (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a))) (patch #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (patch (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) #<representation binary64>) () ())
#s(alt (/.f64 b_2 a) (patch (/.f64 b_2 a) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a) (patch (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a) #<representation binary64>) () ())
#s(alt #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) (patch #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c) (patch (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) (patch (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))) (patch (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)))) (patch #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)) (patch (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())
#s(alt (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))))) (patch (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))))) a) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2)))))) (patch (sqrt.f64 (fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2)))))) #<representation binary64>) () ())
#s(alt (fma.f64 c a (*.f64 b_2 b_2)) (patch (fma.f64 c a (*.f64 b_2 b_2)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 c b_2) b_2) (patch (/.f64 (/.f64 c b_2) b_2) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (patch (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))) (patch (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))) #<representation binary64>) () ())
Outputs
#s(alt (* 1/2 (/ (* a c) b_2)) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (patch (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2)))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (patch (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(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))))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (patch (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(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))))))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (patch (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ c b_2)) (taylor 0 a) (#s(alt (/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))) (taylor 0 a) (#s(alt (/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) a) #<representation binary64>) () ())) ())
#s(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)))))) (taylor 0 a) (#s(alt (/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) a) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor 0 a) (#s(alt (/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) a) #<representation binary64>) () ())) ())
#s(alt b_2 (taylor 0 a) (#s(alt (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ b_2 (* 1/2 (/ (* a c) b_2))) (taylor 0 a) (#s(alt (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ b_2 (* a (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) (taylor 0 a) (#s(alt (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor 0 a) (#s(alt (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b_2)) (taylor 0 a) (#s(alt #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a))) (patch #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))) (taylor 0 a) (#s(alt #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a))) (patch #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor 0 a) (#s(alt #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a))) (patch #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a))) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor 0 a) (#s(alt #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a))) (patch #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a))) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ b_2 a)) (taylor 0 a) (#s(alt (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (patch (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ b_2 a)) (taylor 0 a) (#s(alt (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (patch (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ b_2 a)) (taylor 0 a) (#s(alt (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (patch (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ b_2 a)) (taylor 0 a) (#s(alt (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (patch (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) #<representation binary64>) () ())) ())
#s(alt (/ b_2 a) (taylor 0 a) (#s(alt (/.f64 b_2 a) (patch (/.f64 b_2 a) #<representation binary64>) () ())) ())
#s(alt (/ b_2 a) (taylor 0 a) (#s(alt (/.f64 b_2 a) (patch (/.f64 b_2 a) #<representation binary64>) () ())) ())
#s(alt (/ b_2 a) (taylor 0 a) (#s(alt (/.f64 b_2 a) (patch (/.f64 b_2 a) #<representation binary64>) () ())) ())
#s(alt (/ b_2 a) (taylor 0 a) (#s(alt (/.f64 b_2 a) (patch (/.f64 b_2 a) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b_2)) (taylor 0 a) (#s(alt (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a) (patch (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))) (taylor 0 a) (#s(alt (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a) (patch (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a) #<representation binary64>) () ())) ())
#s(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)))))) (taylor 0 a) (#s(alt (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a) (patch (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor 0 a) (#s(alt (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a) (patch (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a c) b_2)) (taylor 0 a) (#s(alt #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) (patch #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))) (taylor 0 a) (#s(alt #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) (patch #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) #<representation binary64>) () ())) ())
#s(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))))))) (taylor 0 a) (#s(alt #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) (patch #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) #<representation binary64>) () ())) ())
#s(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))))))))) (taylor 0 a) (#s(alt #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) (patch #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a c) b_2)) (taylor 0 a) (#s(alt (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c) (patch (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a c) b_2)) (taylor 0 a) (#s(alt (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c) (patch (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a c) b_2)) (taylor 0 a) (#s(alt (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c) (patch (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a c) b_2)) (taylor 0 a) (#s(alt (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c) (patch (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ a b_2)) (taylor 0 a) (#s(alt (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) (patch (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ a b_2)) (taylor 0 a) (#s(alt (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) (patch (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ a b_2)) (taylor 0 a) (#s(alt (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) (patch (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ a b_2)) (taylor 0 a) (#s(alt (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) (patch (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ b_2 a)) (taylor 0 a) (#s(alt (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))) (patch (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a) (taylor 0 a) (#s(alt (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))) (patch (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a) (taylor 0 a) (#s(alt (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))) (patch (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a) (taylor 0 a) (#s(alt (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))) (patch (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b_2)) (taylor 0 a) (#s(alt #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)))) (patch #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))) (taylor 0 a) (#s(alt #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)))) (patch #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor 0 a) (#s(alt #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)))) (patch #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)))) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor 0 a) (#s(alt #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)))) (patch #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 a) (taylor 0 a) (#s(alt (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)) (patch (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))) a) (taylor 0 a) (#s(alt (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)) (patch (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
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#s(alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))) (taylor inf c) (#s(alt (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a) (patch (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a) #<representation binary64>) () ())) ())
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#s(alt (* (sqrt (* a c)) (sqrt -1)) (taylor inf c) (#s(alt #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) (patch #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) #<representation binary64>) () ())) ())
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#s(alt (* -1/2 (/ (* a c) b_2)) (taylor inf c) (#s(alt (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c) (patch (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a c) b_2)) (taylor inf c) (#s(alt (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c) (patch (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a c) b_2)) (taylor inf c) (#s(alt (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c) (patch (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a c) b_2)) (taylor inf c) (#s(alt (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c) (patch (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ c b_2)) (taylor inf c) (#s(alt (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))) (patch (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))) (taylor inf c) (#s(alt (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))) (patch (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))) #<representation binary64>) () ())) ())
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#s(alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))) (taylor inf c) (#s(alt #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)))) (patch #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)))) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf c) (#s(alt #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)))) (patch #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)))) #<representation binary64>) () ())) ())
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#s(alt (* (sqrt (/ c a)) (sqrt -1)) (taylor inf c) (#s(alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))))) a) #<representation binary64>) () ())) ())
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#s(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))))) (taylor inf c) (#s(alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))))) a) #<representation binary64>) () ())) ())
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#s(alt (* (sqrt (* a c)) (sqrt -1)) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2)))))) (patch (sqrt.f64 (fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2)))))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2)))))) (patch (sqrt.f64 (fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2)))))) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2)))))) (patch (sqrt.f64 (fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2)))))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2)))))) (patch (sqrt.f64 (fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2)))))) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor inf c) (#s(alt (fma.f64 c a (*.f64 b_2 b_2)) (patch (fma.f64 c a (*.f64 b_2 b_2)) #<representation binary64>) () ())) ())
#s(alt (* c (+ a (/ (pow b_2 2) c))) (taylor inf c) (#s(alt (fma.f64 c a (*.f64 b_2 b_2)) (patch (fma.f64 c a (*.f64 b_2 b_2)) #<representation binary64>) () ())) ())
#s(alt (* c (+ a (/ (pow b_2 2) c))) (taylor inf c) (#s(alt (fma.f64 c a (*.f64 b_2 b_2)) (patch (fma.f64 c a (*.f64 b_2 b_2)) #<representation binary64>) () ())) ())
#s(alt (* c (+ a (/ (pow b_2 2) c))) (taylor inf c) (#s(alt (fma.f64 c a (*.f64 b_2 b_2)) (patch (fma.f64 c a (*.f64 b_2 b_2)) #<representation binary64>) () ())) ())
#s(alt (/ c (pow b_2 2)) (taylor inf c) (#s(alt (/.f64 (/.f64 c b_2) b_2) (patch (/.f64 (/.f64 c b_2) b_2) #<representation binary64>) () ())) ())
#s(alt (/ c (pow b_2 2)) (taylor inf c) (#s(alt (/.f64 (/.f64 c b_2) b_2) (patch (/.f64 (/.f64 c b_2) b_2) #<representation binary64>) () ())) ())
#s(alt (/ c (pow b_2 2)) (taylor inf c) (#s(alt (/.f64 (/.f64 c b_2) b_2) (patch (/.f64 (/.f64 c b_2) b_2) #<representation binary64>) () ())) ())
#s(alt (/ c (pow b_2 2)) (taylor inf c) (#s(alt (/.f64 (/.f64 c b_2) b_2) (patch (/.f64 (/.f64 c b_2) b_2) #<representation binary64>) () ())) ())
#s(alt (/ (pow b_2 2) (* a c)) (taylor inf c) (#s(alt (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (patch (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (pow b_2 4) (* (pow a 2) c))) (/ (pow b_2 2) a)) c) (taylor inf c) (#s(alt (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (patch (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (/ (pow b_2 2) a) (/ (pow b_2 6) (* (pow a 3) (pow c 2)))) (/ (pow b_2 4) (* (pow a 2) c))) c) (taylor inf c) (#s(alt (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (patch (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) #<representation binary64>) () ())) ())
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#s(alt (* a c) (taylor inf c) (#s(alt (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))) (patch (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))) #<representation binary64>) () ())) ())
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#s(alt (* c (- (+ a (/ (pow b_2 4) (* a (pow c 2)))) (/ (pow b_2 2) c))) (taylor inf c) (#s(alt (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))) (patch (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(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)))) (taylor inf c) (#s(alt (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))) (patch (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* a c)) (pow (sqrt -1) 2))) (taylor -inf c) (#s(alt (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (patch (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* (sqrt (/ a c)) (pow (sqrt -1) 2)) (/ b_2 c)))) (taylor -inf c) (#s(alt (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (patch (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (taylor -inf c) (#s(alt (/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)) (/ b_2 (* a c))))) (taylor -inf c) (#s(alt (/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) a) #<representation binary64>) () ())) ())
#s(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))))) (taylor -inf c) (#s(alt (/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) a) #<representation binary64>) () ())) ())
#s(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))))) (taylor -inf c) (#s(alt (/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* a c)) (pow (sqrt -1) 2))) (taylor -inf c) (#s(alt (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))) (* (sqrt (/ a c)) (pow (sqrt -1) 2))))) (taylor -inf c) (#s(alt (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* -1/2 (/ (* a c) b_2)) (taylor 0 b_2) (#s(alt (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c) (patch (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c) #<representation binary64>) () ())) ())
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#s(alt (/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) b_2) (taylor 0 b_2) (#s(alt (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))) (patch (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ c a)) (sqrt -1)) (taylor 0 b_2) (#s(alt #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)))) (patch #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) (taylor 0 b_2) (#s(alt #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)))) (patch #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1))) (taylor 0 b_2) (#s(alt #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)))) (patch #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)))) #<representation binary64>) () ())) ())
#s(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))) (taylor 0 b_2) (#s(alt #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)))) (patch #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c (pow b_2 2))) (taylor 0 b_2) (#s(alt (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)) (patch (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 c) (* 2 (/ (pow b_2 2) a))) (pow b_2 2)) (taylor 0 b_2) (#s(alt (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)) (patch (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 c) (* 2 (/ (pow b_2 2) a))) (pow b_2 2)) (taylor 0 b_2) (#s(alt (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)) (patch (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 c) (* 2 (/ (pow b_2 2) a))) (pow b_2 2)) (taylor 0 b_2) (#s(alt (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)) (patch (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -1)) (taylor 0 b_2) (#s(alt (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))))) (patch (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1))) (taylor 0 b_2) (#s(alt (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))))) (patch (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))))) #<representation binary64>) () ())) ())
#s(alt (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1))) (taylor 0 b_2) (#s(alt (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))))) (patch (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))))) #<representation binary64>) () ())) ())
#s(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))) (taylor 0 b_2) (#s(alt (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))))) (patch (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ c a)) (sqrt -1)) (taylor 0 b_2) (#s(alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))))) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) (taylor 0 b_2) (#s(alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))))) a) #<representation binary64>) () ())) ())
#s(alt (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1))) (taylor 0 b_2) (#s(alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))))) a) #<representation binary64>) () ())) ())
#s(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))) (taylor 0 b_2) (#s(alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))))) a) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -1)) (taylor 0 b_2) (#s(alt (sqrt.f64 (fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2)))))) (patch (sqrt.f64 (fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1))) (taylor 0 b_2) (#s(alt (sqrt.f64 (fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2)))))) (patch (sqrt.f64 (fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2)))))) #<representation binary64>) () ())) ())
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#s(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) (taylor inf b_2) (#s(alt (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))))) (patch (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b_2)) (taylor inf b_2) (#s(alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))))) a) #<representation binary64>) () ())) ())
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Calls

9 calls:

TimeVariablePointExpression
71.0ms
a
@0
((+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -2 (/ b_2 a)) (/ b_2 a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* (/ a b_2) -1/2) c) (* (/ a b_2) -1/2) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (+ (neg b_2) (sqrt (+ (* (* b_2 b_2) (/ (* b_2 b_2) (+ (* c a) (* b_2 b_2)))) (neg (/ (pow (* c a) 2) (+ (* c a) (* b_2 b_2))))))) (/ (+ (neg b_2) (sqrt (+ (* (* b_2 b_2) (/ (* b_2 b_2) (+ (* c a) (* b_2 b_2)))) (neg (/ (pow (* c a) 2) (+ (* c a) (* b_2 b_2))))))) a) (sqrt (+ (* (* b_2 b_2) (/ (* b_2 b_2) (+ (* c a) (* b_2 b_2)))) (neg (/ (pow (* c a) 2) (+ (* c a) (* b_2 b_2)))))) (+ (* c a) (* b_2 b_2)) (/ (/ c b_2) b_2) (/ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (/ (pow (* c a) 2) (+ (* c a) (* b_2 b_2))))
37.0ms
c
@inf
((+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -2 (/ b_2 a)) (/ b_2 a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* (/ a b_2) -1/2) c) (* (/ a b_2) -1/2) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (+ (neg b_2) (sqrt (+ (* (* b_2 b_2) (/ (* b_2 b_2) (+ (* c a) (* b_2 b_2)))) (neg (/ (pow (* c a) 2) (+ (* c a) (* b_2 b_2))))))) (/ (+ (neg b_2) (sqrt (+ (* (* b_2 b_2) (/ (* b_2 b_2) (+ (* c a) (* b_2 b_2)))) (neg (/ (pow (* c a) 2) (+ (* c a) (* b_2 b_2))))))) a) (sqrt (+ (* (* b_2 b_2) (/ (* b_2 b_2) (+ (* c a) (* b_2 b_2)))) (neg (/ (pow (* c a) 2) (+ (* c a) (* b_2 b_2)))))) (+ (* c a) (* b_2 b_2)) (/ (/ c b_2) b_2) (/ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (/ (pow (* c a) 2) (+ (* c a) (* b_2 b_2))))
33.0ms
b_2
@0
((+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -2 (/ b_2 a)) (/ b_2 a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* (/ a b_2) -1/2) c) (* (/ a b_2) -1/2) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (+ (neg b_2) (sqrt (+ (* (* b_2 b_2) (/ (* b_2 b_2) (+ (* c a) (* b_2 b_2)))) (neg (/ (pow (* c a) 2) (+ (* c a) (* b_2 b_2))))))) (/ (+ (neg b_2) (sqrt (+ (* (* b_2 b_2) (/ (* b_2 b_2) (+ (* c a) (* b_2 b_2)))) (neg (/ (pow (* c a) 2) (+ (* c a) (* b_2 b_2))))))) a) (sqrt (+ (* (* b_2 b_2) (/ (* b_2 b_2) (+ (* c a) (* b_2 b_2)))) (neg (/ (pow (* c a) 2) (+ (* c a) (* b_2 b_2)))))) (+ (* c a) (* b_2 b_2)) (/ (/ c b_2) b_2) (/ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (/ (pow (* c a) 2) (+ (* c a) (* b_2 b_2))))
19.0ms
a
@-inf
((+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -2 (/ b_2 a)) (/ b_2 a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* (/ a b_2) -1/2) c) (* (/ a b_2) -1/2) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (+ (neg b_2) (sqrt (+ (* (* b_2 b_2) (/ (* b_2 b_2) (+ (* c a) (* b_2 b_2)))) (neg (/ (pow (* c a) 2) (+ (* c a) (* b_2 b_2))))))) (/ (+ (neg b_2) (sqrt (+ (* (* b_2 b_2) (/ (* b_2 b_2) (+ (* c a) (* b_2 b_2)))) (neg (/ (pow (* c a) 2) (+ (* c a) (* b_2 b_2))))))) a) (sqrt (+ (* (* b_2 b_2) (/ (* b_2 b_2) (+ (* c a) (* b_2 b_2)))) (neg (/ (pow (* c a) 2) (+ (* c a) (* b_2 b_2)))))) (+ (* c a) (* b_2 b_2)) (/ (/ c b_2) b_2) (/ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (/ (pow (* c a) 2) (+ (* c a) (* b_2 b_2))))
18.0ms
b_2
@inf
((+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -2 (/ b_2 a)) (/ b_2 a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* (/ a b_2) -1/2) c) (* (/ a b_2) -1/2) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (+ (neg b_2) (sqrt (+ (* (* b_2 b_2) (/ (* b_2 b_2) (+ (* c a) (* b_2 b_2)))) (neg (/ (pow (* c a) 2) (+ (* c a) (* b_2 b_2))))))) (/ (+ (neg b_2) (sqrt (+ (* (* b_2 b_2) (/ (* b_2 b_2) (+ (* c a) (* b_2 b_2)))) (neg (/ (pow (* c a) 2) (+ (* c a) (* b_2 b_2))))))) a) (sqrt (+ (* (* b_2 b_2) (/ (* b_2 b_2) (+ (* c a) (* b_2 b_2)))) (neg (/ (pow (* c a) 2) (+ (* c a) (* b_2 b_2)))))) (+ (* c a) (* b_2 b_2)) (/ (/ c b_2) b_2) (/ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (/ (pow (* c a) 2) (+ (* c a) (* b_2 b_2))))

simplify243.0ms (2.7%)

Memory
7.2MiB live, 196.3MiB allocated
Algorithm
egg-herbie
Rules
7 022×lower-fma.f64
7 022×lower-fma.f32
6 270×lower-*.f64
6 270×lower-*.f32
5 006×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0134813420
1441712463
0842811958
Stop Event
iter limit
node limit
Counts
684 → 678
Calls
Call 1
Inputs
(* 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)))))))))
(* 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))))))))
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))))))))
(* -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))))))))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 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))))))))
(* -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)))))))))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ a b_2))
(* -1/2 (/ a b_2))
(* -1/2 (/ a b_2))
(* -1/2 (/ a b_2))
(* -2 (/ b_2 a))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) 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))))))))
(/ 2 a)
(/ (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))) a)
(/ (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))) a)
(/ (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))) a)
(* -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)))))))))
(* -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))))))))
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))))))))
(pow b_2 2)
(+ (* a c) (pow b_2 2))
(+ (* a c) (pow b_2 2))
(+ (* a c) (pow b_2 2))
1
(+ 1 (* -1 (/ (* a c) (pow b_2 2))))
(+ 1 (* a (- (/ (* a (pow c 2)) (pow b_2 4)) (/ c (pow b_2 2)))))
(+ 1 (* a (- (* a (- (* -1 (/ (* a (pow c 3)) (pow b_2 6))) (* -1 (/ (pow c 2) (pow b_2 4))))) (/ c (pow b_2 2)))))
(/ (* (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))))
(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)))
(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))))))
(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)))))))
(* (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)))))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ 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) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* (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)))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ a b_2))
(* -1/2 (/ a b_2))
(* -1/2 (/ a b_2))
(* -1/2 (/ a b_2))
(* 1/2 (/ c b_2))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(* (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)))))
(* -1/2 (/ c (pow b_2 2)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(* (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)))
(* (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)))))
(* (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))))))
(* a c)
(* a (+ c (/ (pow b_2 2) a)))
(* a (+ c (/ (pow b_2 2) a)))
(* a (+ c (/ (pow b_2 2) a)))
(/ (pow b_2 2) (* a c))
(/ (+ (* -1 (/ (pow b_2 4) (* a (pow c 2)))) (/ (pow b_2 2) c)) a)
(/ (- (+ (/ (pow b_2 2) c) (/ (pow b_2 6) (* (pow a 2) (pow c 3)))) (/ (pow b_2 4) (* a (pow c 2)))) a)
(/ (- (+ (* -1 (/ (pow b_2 8) (* (pow a 3) (pow c 4)))) (/ (pow b_2 2) c)) (+ (* -1 (/ (pow b_2 6) (* (pow a 2) (pow c 3)))) (/ (pow b_2 4) (* a (pow c 2))))) a)
(* 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))))
(* -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 (* (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 (* (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)))))))
(* -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)))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(* -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 (* (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))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ a b_2))
(* -1/2 (/ a b_2))
(* -1/2 (/ a b_2))
(* -1/2 (/ a b_2))
(* 1/2 (/ c b_2))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(* -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 (pow b_2 2)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 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 (* (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 (* (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))))))
(* 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))
(* -1 (/ (+ (* -1 (/ (pow b_2 2) c)) (/ (pow b_2 4) (* a (pow c 2)))) a))
(* -1 (/ (+ (* -1 (/ (- (/ (pow b_2 6) (* a (pow c 3))) (/ (pow b_2 4) (pow c 2))) a)) (* -1 (/ (pow b_2 2) c))) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 8) (* a (pow c 4))) (/ (pow b_2 6) (pow c 3))) a)) (/ (pow b_2 4) (pow c 2))) a)) (* -1 (/ (pow b_2 2) c))) 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)))))
(* 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)))))))))
(* 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))))
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))))))))
(* -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))))
(* -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))))
(* -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)))))))))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -2 (/ b_2 a))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(* -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))))
(/ 2 a)
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(* -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)))))))))
(* -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))))
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))))))))
(pow b_2 2)
(+ (* a c) (pow b_2 2))
(+ (* a c) (pow b_2 2))
(+ (* a c) (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
1
(+ 1 (* -1 (/ (* a c) (pow b_2 2))))
(+ 1 (* c (- (/ (* (pow a 2) c) (pow b_2 4)) (/ a (pow b_2 2)))))
(+ 1 (* c (- (* c (- (* -1 (/ (* (pow a 3) c) (pow b_2 6))) (* -1 (/ (pow a 2) (pow b_2 4))))) (/ a (pow b_2 2)))))
(/ (* (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))))
(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)))
(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)))))))
(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)))))))
(* (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))))))
(* (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))))))
(* (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)))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* 1/2 (/ c b_2))
(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* c (+ (* -2 (/ b_2 (* a c))) (* 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))))))
(* -1/2 (/ c (pow b_2 2)))
(* c (- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2)))))
(* c (- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2)))))
(* c (- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 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 (- (+ (* 1/2 (* (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)))
(* (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))))))
(* (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))))))
(* a c)
(* c (+ a (/ (pow b_2 2) c)))
(* c (+ a (/ (pow b_2 2) c)))
(* c (+ a (/ (pow b_2 2) c)))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ (pow b_2 2) (* a c))
(/ (+ (* -1 (/ (pow b_2 4) (* (pow a 2) c))) (/ (pow b_2 2) a)) c)
(/ (- (+ (/ (pow b_2 2) a) (/ (pow b_2 6) (* (pow a 3) (pow c 2)))) (/ (pow b_2 4) (* (pow a 2) c))) c)
(/ (- (+ (* -1 (/ (pow b_2 8) (* (pow a 4) (pow c 3)))) (/ (pow b_2 2) a)) (+ (* -1 (/ (pow b_2 6) (* (pow a 3) (pow c 2)))) (/ (pow b_2 4) (* (pow a 2) c)))) c)
(* 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))))
(* -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)))))
(* -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)))))
(* -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)))))))
(* -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)))))
(* -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)))))
(* -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)))))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* 1/2 (/ c b_2))
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -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)))))
(* -1/2 (/ c (pow b_2 2)))
(* -1 (* c (- (* 1/2 (/ 1 (pow b_2 2))) (* 2 (/ 1 (* a c))))))
(* -1 (* c (- (* 1/2 (/ 1 (pow b_2 2))) (* 2 (/ 1 (* a c))))))
(* -1 (* c (- (* 1/2 (/ 1 (pow b_2 2))) (* 2 (/ 1 (* a 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)))))
(* -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)))))
(* -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))))))
(* 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)))))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ (pow b_2 2) (* a c))
(* -1 (/ (+ (* -1 (/ (pow b_2 2) a)) (/ (pow b_2 4) (* (pow a 2) c))) c))
(* -1 (/ (+ (* -1 (/ (- (/ (pow b_2 6) (* (pow a 3) c)) (/ (pow b_2 4) (pow a 2))) c)) (* -1 (/ (pow b_2 2) a))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 8) (* (pow a 4) c)) (/ (pow b_2 6) (pow a 3))) c)) (/ (pow b_2 4) (pow a 2))) c)) (* -1 (/ (pow b_2 2) a))) 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)))))
(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)))
(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 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_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))))))))
(* (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)))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(* (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)))
(* (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) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ a b_2))
(* -1/2 (/ a b_2))
(* -1/2 (/ a b_2))
(* -1/2 (/ a b_2))
(* 1/2 (/ c b_2))
(/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) b_2)
(/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) b_2)
(/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) b_2)
(* (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 (pow b_2 2)))
(/ (+ (* -1/2 c) (* 2 (/ (pow b_2 2) a))) (pow b_2 2))
(/ (+ (* -1/2 c) (* 2 (/ (pow b_2 2) a))) (pow b_2 2))
(/ (+ (* -1/2 c) (* 2 (/ (pow b_2 2) a))) (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)))
(* (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)))
(* (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)))))))))
(* a c)
(+ (* a c) (pow b_2 2))
(+ (* a c) (pow b_2 2))
(+ (* a c) (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ (pow b_2 2) (* a c))
(* (pow b_2 2) (+ (* -1 (/ (pow b_2 2) (* (pow a 2) (pow c 2)))) (/ 1 (* a c))))
(* (pow b_2 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))))
(* (pow b_2 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))))
(* 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)))
(* 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)
(* 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)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_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)))))))
(* -1/2 (/ 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))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(* -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)
(* -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)
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ a b_2))
(* -1/2 (/ a b_2))
(* -1/2 (/ a b_2))
(* -1/2 (/ a b_2))
(* -2 (/ b_2 a))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* -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 a)
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(* -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)
(* -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)
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)))))))
(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))))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
1
(+ 1 (* -1 (/ (* a c) (pow b_2 2))))
(- (+ 1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (/ (* a c) (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 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))
(* -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))))))))
(* -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 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_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))))))))
(* -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)))))))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(* -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)))))))
(* -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))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ a b_2))
(* -1/2 (/ a b_2))
(* -1/2 (/ a b_2))
(* -1/2 (/ a 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))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -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)))))))
(/ 2 a)
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(* -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))))))))
(* -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 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))))))))
(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))))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
1
(+ 1 (* -1 (/ (* a c) (pow b_2 2))))
(- (+ 1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (/ (* a c) (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 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
(* 1/2 (/ (* a c) b_2))
(*.f64 (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64)) c)
(* a (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (/.f64 (*.f64 (*.f64 (*.f64 c c) a) #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a)
(* 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 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) a)
(* 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 (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 5/64 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) b_2)) #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal 1/16 binary64)) (pow.f64 b_2 #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) a)
(* 1/2 (/ c b_2))
(*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))
(+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (/.f64 (*.f64 (*.f64 (*.f64 c c) a) #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64))))
(+ (* 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 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
(+ (* 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 (fma.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 5/64 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) b_2)) #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal 1/16 binary64)) (pow.f64 b_2 #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
b_2
(+ b_2 (* 1/2 (/ (* a c) b_2)))
(fma.f64 (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64)) c b_2)
(+ b_2 (* a (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2)))))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (/.f64 (*.f64 (*.f64 (*.f64 c c) a) #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a 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 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) a b_2)
(* -1/2 (/ c b_2))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 c b_2) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64))))
(+ (* -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 (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c 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 (fma.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 5/64 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) b_2)) #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -1/16 binary64)) (pow.f64 b_2 #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
(* -2 (/ b_2 a))
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(* -2 (/ b_2 a))
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(* -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 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 (* b_2 (+ 1 (* 1/2 (/ (* a c) (pow b_2 2))))))
(*.f64 (neg.f64 b_2) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (*.f64 c a) b_2) #s(literal 1 binary64)))
(* -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 (neg.f64 b_2) (fma.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (*.f64 c a) b_2) #s(literal 1 binary64))))
(* -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 (neg.f64 b_2) (+.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (*.f64 c a) b_2) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 1/16 binary64))))
(* -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 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.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))) (* 2 (/ 1 a))))))
(*.f64 (neg.f64 b_2) (fma.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 c b_2) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64) (/.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 (neg.f64 b_2) (fma.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 c b_2) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 2 binary64) a)))))
(* -2 (/ b_2 a))
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(* -2 (/ b_2 a))
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(* -2 (/ b_2 a))
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(* -2 (/ b_2 a))
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(/ b_2 a)
(/.f64 b_2 a)
(/ b_2 a)
(/.f64 b_2 a)
(/ b_2 a)
(/.f64 b_2 a)
(/ b_2 a)
(/.f64 b_2 a)
(* -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 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.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))) (* 2 (/ 1 a))))))
(*.f64 (neg.f64 b_2) (fma.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 c b_2) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64) (/.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 (neg.f64 b_2) (fma.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 c b_2) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 2 binary64) a)))))
(* -2 b_2)
(*.f64 #s(literal -2 binary64) b_2)
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(*.f64 (neg.f64 b_2) (fma.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) (/.f64 c b_2) #s(literal 2 binary64)))
(* -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 (neg.f64 b_2) (fma.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) (/.f64 c b_2) #s(literal 2 binary64))))
(* -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 (neg.f64 b_2) (+.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) (/.f64 c b_2) #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1/16 binary64))))
(* -1/2 (/ (* a c) b_2))
(*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)
(* -1/2 (/ (* a c) b_2))
(*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)
(* -1/2 (/ (* a c) b_2))
(*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)
(* -1/2 (/ (* a c) b_2))
(*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)
(* -1/2 (/ a b_2))
(*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))
(* -1/2 (/ a b_2))
(*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))
(* -1/2 (/ a b_2))
(*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))
(* -1/2 (/ a b_2))
(*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))
(* -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 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)))
(* -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 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.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))) (* 2 (/ 1 a))))))
(*.f64 (neg.f64 b_2) (fma.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 c b_2) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64) (/.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 (neg.f64 b_2) (fma.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 c b_2) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 2 binary64) a)))))
(/ 2 a)
(/.f64 #s(literal 2 binary64) a)
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))
(* -2 b_2)
(*.f64 #s(literal -2 binary64) b_2)
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(*.f64 (neg.f64 b_2) (fma.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) (/.f64 c b_2) #s(literal 2 binary64)))
(* -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)))))))
(*.f64 (neg.f64 b_2) (fma.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 a b_2) (/.f64 c b_2) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a a)) (*.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64)))) #s(literal 2 binary64)))
(* -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))))))))
(*.f64 (neg.f64 b_2) (fma.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 a b_2) (/.f64 c b_2) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a a)) (*.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c a) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a a)) (*.f64 c c))) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1/4 binary64) #s(literal 2 binary64))))
(* -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 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) 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))))))
(*.f64 (neg.f64 b_2) (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 c (*.f64 b_2 b_2)) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a a)) (*.f64 c c)) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) a))) (/.f64 #s(literal 2 binary64) 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)))))))
(*.f64 (neg.f64 b_2) (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 c (*.f64 b_2 b_2)) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a a)) (*.f64 c c)) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) a))) (fma.f64 (*.f64 c (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a a)) (*.f64 c c)) (pow.f64 b_2 #s(literal 6 binary64)))) #s(literal -1/4 binary64) (/.f64 #s(literal 2 binary64) a))))
(* -1 b_2)
(neg.f64 b_2)
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(*.f64 (neg.f64 b_2) (fma.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) (/.f64 c b_2) #s(literal 1 binary64)))
(* -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 (neg.f64 b_2) (fma.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 a b_2) (/.f64 c b_2) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a a)) (*.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64)))) #s(literal 1 binary64)))
(* -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 (neg.f64 b_2) (fma.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 a b_2) (/.f64 c b_2) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a a)) (*.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c a) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a a)) (*.f64 c c))) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1/4 binary64) #s(literal 1 binary64))))
(pow b_2 2)
(*.f64 b_2 b_2)
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(*.f64 (fma.f64 (/.f64 a b_2) (/.f64 c b_2) #s(literal 1 binary64)) (*.f64 b_2 b_2))
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(*.f64 (fma.f64 (/.f64 a b_2) (/.f64 c b_2) #s(literal 1 binary64)) (*.f64 b_2 b_2))
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(*.f64 (fma.f64 (/.f64 a b_2) (/.f64 c b_2) #s(literal 1 binary64)) (*.f64 b_2 b_2))
(/ c (pow b_2 2))
(/.f64 c (*.f64 b_2 b_2))
(/ c (pow b_2 2))
(/.f64 c (*.f64 b_2 b_2))
(/ c (pow b_2 2))
(/.f64 c (*.f64 b_2 b_2))
(/ c (pow b_2 2))
(/.f64 c (*.f64 b_2 b_2))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (* a c) (pow b_2 2))))
(fma.f64 (neg.f64 a) (/.f64 c (*.f64 b_2 b_2)) #s(literal 1 binary64))
(- (+ 1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (/ (* a c) (pow b_2 2)))
(fma.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 #s(literal 4 binary64))) (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b_2 b_2)) #s(literal 1 binary64)))
(- (+ 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))))
(-.f64 (fma.f64 (neg.f64 (pow.f64 a #s(literal 3 binary64))) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 1 binary64)) (fma.f64 (neg.f64 (*.f64 a a)) (/.f64 (*.f64 c c) (pow.f64 b_2 #s(literal 4 binary64))) (*.f64 (/.f64 a b_2) (/.f64 c b_2))))
(/ (* (pow a 2) (pow c 2)) (pow b_2 2))
(*.f64 (/.f64 (*.f64 c c) b_2) (/.f64 (*.f64 a a) 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 (*.f64 a a) (*.f64 c c) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 (neg.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 (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 (*.f64 a a) (*.f64 c c) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 (neg.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 (fma.f64 (neg.f64 (pow.f64 a #s(literal 5 binary64))) (/.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) (*.f64 (*.f64 a a) (*.f64 c c))) (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) b_2) (/.f64 (pow.f64 a #s(literal 3 binary64)) b_2) (*.f64 (neg.f64 (pow.f64 a #s(literal 4 binary64))) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))))) (*.f64 b_2 b_2))

rewrite226.0ms (2.5%)

Memory
7.2MiB live, 249.2MiB allocated
Rules
4 502×lower-*.f32
4 490×lower-*.f64
4 034×lower-/.f32
4 014×lower-/.f64
3 544×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044294
073288
1291217
22205217
08535214
Stop Event
iter limit
node limit
iter limit
Counts
21 → 627
Calls
Call 1
Inputs
(+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) a)
(neg.f64 b_2)
(pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(/.f64 b_2 a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c))
(*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)
(*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))
(*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
(fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2)))))))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))))) a)
(sqrt.f64 (fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))))
(fma.f64 c a (*.f64 b_2 b_2))
(/.f64 (/.f64 c b_2) b_2)
(/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2)))
(/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2)))
Outputs
(*.f64 (fma.f64 b_2 b_2 (neg.f64 (fma.f64 a c (*.f64 b_2 b_2)))) (pow.f64 (-.f64 (neg.f64 b_2) (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (pow.f64 (fma.f64 b_2 b_2 (+.f64 (fma.f64 a c (*.f64 b_2 b_2)) (*.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (neg.f64 b_2) (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) (fma.f64 b_2 b_2 (neg.f64 (fma.f64 a c (*.f64 b_2 b_2))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 b_2 b_2 (+.f64 (fma.f64 a c (*.f64 b_2 b_2)) (*.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)))) (+.f64 (pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 b_2 b_2) (-.f64 (neg.f64 b_2) (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2))) (*.f64 (-.f64 (neg.f64 b_2) (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) (fma.f64 a c (*.f64 b_2 b_2)))) (*.f64 (-.f64 (neg.f64 b_2) (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) (-.f64 (neg.f64 b_2) (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2))))
(/.f64 (-.f64 (fma.f64 a c (*.f64 b_2 b_2)) (*.f64 b_2 b_2)) (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) (neg.f64 b_2)))
(/.f64 (neg.f64 (fma.f64 b_2 b_2 (neg.f64 (fma.f64 a c (*.f64 b_2 b_2))))) (neg.f64 (-.f64 (neg.f64 b_2) (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (neg.f64 (fma.f64 b_2 b_2 (+.f64 (fma.f64 a c (*.f64 b_2 b_2)) (*.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2))))))
(/.f64 (fma.f64 b_2 b_2 (neg.f64 (fma.f64 a c (*.f64 b_2 b_2)))) (-.f64 (neg.f64 b_2) (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 b_2) (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) (fma.f64 b_2 b_2 (neg.f64 (fma.f64 a c (*.f64 b_2 b_2))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b_2 b_2 (+.f64 (fma.f64 a c (*.f64 b_2 b_2)) (*.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)))) (+.f64 (pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (+.f64 (fma.f64 a c (*.f64 b_2 b_2)) (-.f64 (*.f64 b_2 b_2) (*.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) (neg.f64 b_2)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (fma.f64 b_2 b_2 (+.f64 (fma.f64 a c (*.f64 b_2 b_2)) (*.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)))))
(fma.f64 (sqrt.f64 (pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) #s(literal 3/4 binary64))) (sqrt.f64 (pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) #s(literal 1/4 binary64))) (neg.f64 b_2))
(fma.f64 (sqrt.f64 (pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) #s(literal 3/4 binary64))) (neg.f64 b_2))
(fma.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 a c (*.f64 (neg.f64 b_2) b_2)) #s(literal -1 binary64))) (neg.f64 b_2))
(fma.f64 (hypot.f64 (pow.f64 (*.f64 a c) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 b_2 b_2) (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) #s(literal -1 binary64))) (neg.f64 b_2))
(fma.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) (neg.f64 b_2))
(fma.f64 (pow.f64 (pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (neg.f64 b_2))
(fma.f64 (pow.f64 (pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (neg.f64 b_2))
(fma.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 a c (*.f64 (neg.f64 b_2) b_2)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (neg.f64 b_2))
(fma.f64 (pow.f64 (+.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (*.f64 a c) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 b_2 b_2) (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (neg.f64 b_2))
(fma.f64 (pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) #s(literal 1/4 binary64)) (neg.f64 b_2))
(fma.f64 #s(literal -1 binary64) b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2))
(fma.f64 b_2 #s(literal -1 binary64) (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2))
(-.f64 (+.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) #s(literal 0 binary64)) b_2)
(-.f64 (/.f64 (*.f64 b_2 b_2) (-.f64 (neg.f64 b_2) (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2))) (/.f64 (fma.f64 a c (*.f64 b_2 b_2)) (-.f64 (neg.f64 b_2) (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2))))
(-.f64 #s(literal 0 binary64) (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)))
(-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2)
(+.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) (neg.f64 b_2))
(+.f64 (neg.f64 b_2) (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2))
(*.f64 (pow.f64 (/.f64 a (fma.f64 b_2 b_2 (neg.f64 (fma.f64 a c (*.f64 b_2 b_2))))) #s(literal -1 binary64)) (pow.f64 (-.f64 (neg.f64 b_2) (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 a (+.f64 (pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 b_2 b_2 (+.f64 (fma.f64 a c (*.f64 b_2 b_2)) (*.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 a #s(literal -1 binary64)) (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2) a))
(*.f64 (neg.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2)) (pow.f64 (neg.f64 a) #s(literal -1 binary64)))
(*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2) (pow.f64 a #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 a (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 a (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2)) #s(literal -1 binary64))
(/.f64 (*.f64 (fma.f64 b_2 b_2 (neg.f64 (fma.f64 a c (*.f64 b_2 b_2)))) (pow.f64 a #s(literal -1 binary64))) (-.f64 (neg.f64 b_2) (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)))
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (pow.f64 a #s(literal -1 binary64))) (fma.f64 b_2 b_2 (+.f64 (fma.f64 a c (*.f64 b_2 b_2)) (*.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)))))
(/.f64 (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2) #s(literal 1 binary64)) a)
(/.f64 (neg.f64 (neg.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2))) (neg.f64 (neg.f64 a)))
(/.f64 (*.f64 (fma.f64 b_2 b_2 (neg.f64 (fma.f64 a c (*.f64 b_2 b_2)))) #s(literal 1 binary64)) (*.f64 (-.f64 (neg.f64 b_2) (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) a))
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 b_2 b_2 (+.f64 (fma.f64 a c (*.f64 b_2 b_2)) (*.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)))) a))
(/.f64 (fma.f64 b_2 b_2 (neg.f64 (fma.f64 a c (*.f64 b_2 b_2)))) (*.f64 a (-.f64 (neg.f64 b_2) (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (*.f64 a (fma.f64 b_2 b_2 (+.f64 (fma.f64 a c (*.f64 b_2 b_2)) (*.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2))))))
(/.f64 (neg.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2)) (neg.f64 a))
(/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2) a)
(neg.f64 (/.f64 (neg.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2)) a))
(neg.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2) (neg.f64 a)))
(exp.f64 (*.f64 (log.f64 (/.f64 a (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) b_2)
(*.f64 b_2 #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b_2 #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (*.f64 #s(literal 0 binary64) b_2))))
(/.f64 (*.f64 (neg.f64 b_2) b_2) (+.f64 #s(literal 0 binary64) b_2))
(neg.f64 b_2)
(-.f64 #s(literal 0 binary64) b_2)
(+.f64 #s(literal 0 binary64) (neg.f64 b_2))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) #s(literal 3/4 binary64))) (sqrt.f64 (pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) #s(literal 3/4 binary64))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 a c (*.f64 (neg.f64 b_2) b_2)) #s(literal -1 binary64))))
(*.f64 (hypot.f64 (pow.f64 (*.f64 a c) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 b_2 b_2) (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 a c (*.f64 (neg.f64 b_2) b_2)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (+.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (*.f64 a c) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 b_2 b_2) (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 (pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) #s(literal 1 binary64))
(pow.f64 (pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 a c (*.f64 (neg.f64 b_2) b_2)))))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (*.f64 a c) #s(literal 3 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 b_2 b_2) (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 a c (*.f64 (neg.f64 b_2) b_2))))
(/.f64 (hypot.f64 (pow.f64 (*.f64 a c) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 b_2 #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a c) b_2) b_2)))))
(/.f64 (hypot.f64 (pow.f64 (*.f64 a c) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (hypot.f64 (*.f64 b_2 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)))) (*.f64 a c)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 (*.f64 a c) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 a c (*.f64 (neg.f64 b_2) b_2)) (-.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (*.f64 b_2 b_2) (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) (+.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (*.f64 a c) #s(literal 3 binary64))))))
(sqrt.f64 (fma.f64 a c (*.f64 b_2 b_2)))
(fabs.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2))
(hypot.f64 (exp.f64 (log.f64 b_2)) (pow.f64 (sqrt.f64 (*.f64 a c)) #s(literal 1 binary64)))
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(*.f64 b_2 (/.f64 b_2 (fma.f64 a c (*.f64 b_2 b_2))))
(pow.f64 (/.f64 (*.f64 (fma.f64 a c (*.f64 b_2 b_2)) (pow.f64 b_2 #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (fma.f64 a c (*.f64 b_2 b_2)) (pow.f64 b_2 #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fma.f64 a c (*.f64 b_2 b_2)) (pow.f64 b_2 #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 a c (*.f64 b_2 b_2)) (pow.f64 b_2 #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a c (*.f64 b_2 b_2)) (pow.f64 b_2 #s(literal -2 binary64))))
(/.f64 (*.f64 (neg.f64 b_2) b_2) (neg.f64 (fma.f64 a c (*.f64 b_2 b_2))))
(/.f64 (*.f64 b_2 b_2) (neg.f64 (neg.f64 (fma.f64 a c (*.f64 b_2 b_2)))))
(/.f64 (*.f64 b_2 b_2) (fma.f64 a c (*.f64 b_2 b_2)))
(neg.f64 (/.f64 (*.f64 (neg.f64 b_2) b_2) (fma.f64 a c (*.f64 b_2 b_2))))
(neg.f64 (/.f64 (*.f64 b_2 b_2) (neg.f64 (fma.f64 a c (*.f64 b_2 b_2)))))
(exp.f64 (-.f64 (*.f64 (log.f64 b_2) #s(literal 2 binary64)) (log.f64 (fma.f64 a c (*.f64 b_2 b_2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 a c (*.f64 b_2 b_2)) (pow.f64 b_2 #s(literal -2 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))) (fma.f64 a c (*.f64 (neg.f64 b_2) b_2)))
(*.f64 (/.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (+.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (*.f64 a c) #s(literal 3 binary64)))) (fma.f64 (*.f64 b_2 b_2) (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 a c) #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) #s(literal -1 binary64)) (pow.f64 (*.f64 a c) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (fma.f64 a c (*.f64 b_2 b_2))))
(*.f64 (neg.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64))) (pow.f64 (neg.f64 (fma.f64 a c (*.f64 b_2 b_2))) #s(literal -1 binary64)))
(*.f64 (*.f64 c c) (/.f64 (*.f64 a a) (fma.f64 a c (*.f64 b_2 b_2))))
(*.f64 (*.f64 c c) (*.f64 (*.f64 a a) (pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) #s(literal -1 binary64)))
(*.f64 (*.f64 a c) (/.f64 (*.f64 a c) (fma.f64 a c (*.f64 b_2 b_2))))
(*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) #s(literal -1 binary64))))
(pow.f64 (/.f64 (*.f64 (fma.f64 a c (*.f64 b_2 b_2)) (pow.f64 (*.f64 a c) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (fma.f64 a c (*.f64 b_2 b_2)) (pow.f64 (*.f64 a c) #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 a c (*.f64 b_2 b_2)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (fma.f64 a c (*.f64 b_2 b_2)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fma.f64 a c (*.f64 b_2 b_2)) (pow.f64 (*.f64 a c) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 a c (*.f64 b_2 b_2)) (pow.f64 (*.f64 a c) #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a c (*.f64 b_2 b_2)) (pow.f64 (*.f64 a c) #s(literal -2 binary64))))
(/.f64 (neg.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64))) (neg.f64 (fma.f64 a c (*.f64 b_2 b_2))))
(/.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (fma.f64 a c (*.f64 b_2 b_2)))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64))) (fma.f64 a c (*.f64 b_2 b_2))))
(exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 a c)) #s(literal 2 binary64)) (log.f64 (fma.f64 a c (*.f64 b_2 b_2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 a c (*.f64 b_2 b_2)) (pow.f64 (*.f64 a c) #s(literal -2 binary64)))) #s(literal -1 binary64)))

eval222.0ms (2.5%)

Memory
9.2MiB live, 460.8MiB allocated
Compiler

Compiled 39 274 to 5 073 computations (87.1% saved)

prune221.0ms (2.5%)

Memory
-12.5MiB live, 406.7MiB allocated
Pruning

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New1 495181 513
Fresh235
Picked415
Done101
Total1 502221 524
Accuracy
90.8%
Counts
1 524 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.7%
(/.f64 (/.f64 (-.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)) (*.f64 b_2 b_2)) (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) (neg.f64 b_2))) a)
26.1%
(/.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) (*.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))))))
57.1%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2) a)
38.0%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
30.6%
(/.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) (pow.f64 a #s(literal -1 binary64))) (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)))))
23.8%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) a) c) b_2)) a)
23.5%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c)) a)
23.5%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a)
57.0%
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2)))
8.3%
(exp.f64 (*.f64 (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a b_2)) c)))) #s(literal -1 binary64)))
10.6%
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
33.3%
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
12.8%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 b_2) #s(literal -1/2 binary64)) (/.f64 (/.f64 c b_2) b_2)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (neg.f64 b_2) #s(literal -1/2 binary64)) (/.f64 (/.f64 c b_2) b_2)) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))))
34.4%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -2 binary64) (/.f64 a b_2)))
30.2%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (*.f64 c #s(literal -1/8 binary64)) (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b_2)) c))
32.3%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
34.4%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal 2 binary64) a) (neg.f64 b_2)))
10.6%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) #s(approx (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (*.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64)))))
34.5%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
14.9%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64)))))
34.5%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))))
34.3%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 c b_2) (/.f64 #s(literal -2 binary64) a)) b_2)))
Compiler

Compiled 602 to 459 computations (23.8% saved)

simplify131.0ms (1.5%)

Memory
-12.7MiB live, 144.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 c #s(literal -1/8 binary64))
cost-diff0
(fma.f64 (*.f64 c #s(literal -1/8 binary64)) (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b_2))
cost-diff0
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (*.f64 c #s(literal -1/8 binary64)) (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b_2)) c))
cost-diff6144
(*.f64 (fma.f64 (*.f64 c #s(literal -1/8 binary64)) (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b_2)) c)
cost-diff0
(fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) a))
cost-diff0
(neg.f64 b_2)
cost-diff0
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
cost-diff832
(*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) a)))
cost-diff0
(*.f64 a (/.f64 #s(literal -1/2 binary64) b_2))
cost-diff0
(*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)
cost-diff0
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c))
cost-diff0
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a)
cost-diff0
(/.f64 c b_2)
cost-diff0
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
cost-diff0
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
cost-diff0
(fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))
cost-diff0
(sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)))
cost-diff0
(-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2)
cost-diff0
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2) a)
Rules
10 968×lower-fma.f32
10 962×lower-fma.f64
3 456×lower-*.f32
3 442×lower-*.f64
1 378×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048279
074275
1129274
2265274
3661274
41483270
52593270
64171270
76335270
08146267
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2) a)
(-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2)
(sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)))
(fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))
(neg.f64 a)
a
c
(*.f64 b_2 b_2)
b_2
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(/.f64 c b_2)
c
b_2
#s(literal -1/2 binary64)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c))
(*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)
(*.f64 a (/.f64 #s(literal -1/2 binary64) b_2))
a
(/.f64 #s(literal -1/2 binary64) b_2)
#s(literal -1/2 binary64)
b_2
c
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
(*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) a)))
(neg.f64 b_2)
b_2
(fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) a))
(/.f64 c (*.f64 b_2 b_2))
c
(*.f64 b_2 b_2)
#s(literal 1/2 binary64)
(/.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
a
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (*.f64 c #s(literal -1/8 binary64)) (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b_2)) c))
(*.f64 (fma.f64 (*.f64 c #s(literal -1/8 binary64)) (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b_2)) c)
(fma.f64 (*.f64 c #s(literal -1/8 binary64)) (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b_2))
(*.f64 c #s(literal -1/8 binary64))
c
#s(literal -1/8 binary64)
(/.f64 a (pow.f64 b_2 #s(literal 3 binary64)))
a
(pow.f64 b_2 #s(literal 3 binary64))
b_2
#s(literal 3 binary64)
(/.f64 #s(literal -1/2 binary64) b_2)
#s(literal -1/2 binary64)
Outputs
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) b_2) a)
(-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2)
(-.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) b_2)
(sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)))
(sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2)))
(fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))
(fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))
(neg.f64 a)
a
c
(*.f64 b_2 b_2)
b_2
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
(/.f64 c b_2)
c
b_2
#s(literal -1/2 binary64)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c)) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c))
(*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c)
(*.f64 a (/.f64 #s(literal -1/2 binary64) b_2))
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) a)
a
(/.f64 #s(literal -1/2 binary64) b_2)
#s(literal -1/2 binary64)
b_2
c
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (fma.f64 #s(literal -2 binary64) (/.f64 b_2 a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)))
(*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) a)))
(fma.f64 #s(literal -2 binary64) (/.f64 b_2 a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
(neg.f64 b_2)
b_2
(fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) a))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 c b_2) b_2) (/.f64 #s(literal 2 binary64) a))
(/.f64 c (*.f64 b_2 b_2))
(/.f64 (/.f64 c b_2) b_2)
c
(*.f64 b_2 b_2)
#s(literal 1/2 binary64)
(/.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
a
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (*.f64 c #s(literal -1/8 binary64)) (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b_2)) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (*.f64 (/.f64 a (*.f64 b_2 b_2)) c) #s(literal -1/8 binary64) #s(literal -1/2 binary64)) (/.f64 c b_2)))
(*.f64 (fma.f64 (*.f64 c #s(literal -1/8 binary64)) (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b_2)) c)
(*.f64 (fma.f64 (*.f64 (/.f64 a (*.f64 b_2 b_2)) c) #s(literal -1/8 binary64) #s(literal -1/2 binary64)) (/.f64 c b_2))
(fma.f64 (*.f64 c #s(literal -1/8 binary64)) (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b_2))
(fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 b_2 #s(literal 3 binary64))) (*.f64 c a) (/.f64 #s(literal -1/2 binary64) b_2))
(*.f64 c #s(literal -1/8 binary64))
(*.f64 #s(literal -1/8 binary64) c)
c
#s(literal -1/8 binary64)
(/.f64 a (pow.f64 b_2 #s(literal 3 binary64)))
a
(pow.f64 b_2 #s(literal 3 binary64))
b_2
#s(literal 3 binary64)
(/.f64 #s(literal -1/2 binary64) b_2)
#s(literal -1/2 binary64)

localize183.0ms (2%)

Memory
3.6MiB live, 344.9MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy2.284662683075176
(*.f64 (fma.f64 (*.f64 c #s(literal -1/8 binary64)) (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b_2)) c)
accuracy3.6523419623097197
(fma.f64 (*.f64 c #s(literal -1/8 binary64)) (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b_2))
accuracy4.334974321654363
(/.f64 a (pow.f64 b_2 #s(literal 3 binary64)))
accuracy43.32129283521077
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (*.f64 c #s(literal -1/8 binary64)) (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b_2)) c))
accuracy0.0078125
(fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) a))
accuracy5.3154932884815596
(*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) a)))
accuracy7.052207362076473
(/.f64 c (*.f64 b_2 b_2))
accuracy42.08612160283248
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
accuracy0.209316259768442
(*.f64 a (/.f64 #s(literal -1/2 binary64) b_2))
accuracy3.9585124078406713
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a)
accuracy5.333926077417084
(*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)
accuracy43.224947193619435
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c))
accuracy0
(/.f64 c b_2)
accuracy0
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
accuracy43.29939899336165
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
accuracy0.00390625
(fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))
accuracy3.9585124078406713
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2) a)
accuracy10.485488510971514
(-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2)
accuracy24.470699255071118
(sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)))
Samples
62.0ms179×0valid
60.0ms43×2valid
17.0ms27×1valid
12.0ms3valid
Compiler

Compiled 238 to 46 computations (80.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 118.0ms
ival-pow: 33.0ms (27.9% of total)
ival-add: 21.0ms (17.7% of total)
ival-mult: 20.0ms (16.9% of total)
ival-div: 16.0ms (13.5% of total)
adjust: 9.0ms (7.6% of total)
ival-sqrt: 8.0ms (6.8% of total)
ival-sub: 4.0ms (3.4% of total)
ival-pow2: 4.0ms (3.4% of total)
ival-neg: 2.0ms (1.7% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series404.0ms (4.5%)

Memory
-26.9MiB live, 369.7MiB allocated
Counts
21 → 648
Calls
Call 1
Inputs
#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2) a) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2) a) #<representation binary64>) () ())
#s(alt (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2) (patch (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)) (patch (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) (patch #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)) (patch (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 c b_2) (patch (/.f64 c b_2) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a) (patch (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a) #<representation binary64>) () ())
#s(alt #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) (patch #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c) (patch (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c) #<representation binary64>) () ())
#s(alt (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) (patch (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) a))) (patch (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) a))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) a)))) (patch #s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) a)))) #<representation binary64>) () ())
#s(alt (neg.f64 b_2) (patch (neg.f64 b_2) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) a)) (patch (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (*.f64 c #s(literal -1/8 binary64)) (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b_2)) c) (patch (*.f64 (fma.f64 (*.f64 c #s(literal -1/8 binary64)) (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b_2)) c) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (*.f64 c #s(literal -1/8 binary64)) (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b_2)) c)) (patch #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (*.f64 c #s(literal -1/8 binary64)) (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b_2)) c)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 c #s(literal -1/8 binary64)) (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b_2)) (patch (fma.f64 (*.f64 c #s(literal -1/8 binary64)) (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b_2)) #<representation binary64>) () ())
#s(alt (*.f64 c #s(literal -1/8 binary64)) (patch (*.f64 c #s(literal -1/8 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 c (*.f64 b_2 b_2)) (patch (/.f64 c (*.f64 b_2 b_2)) #<representation binary64>) () ())
#s(alt (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) (patch (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) #<representation binary64>) () ())
Outputs
#s(alt (* -1/2 (/ c b_2)) (taylor 0 a) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2) a) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))) (taylor 0 a) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2) a) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2) a) #<representation binary64>) () ())) ())
#s(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)))))) (taylor 0 a) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2) a) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2) a) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor 0 a) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2) a) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2) a) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a c) b_2)) (taylor 0 a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2) (patch (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))) (taylor 0 a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2) (patch (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2) #<representation binary64>) () ())) ())
#s(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))))))) (taylor 0 a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2) (patch (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2) #<representation binary64>) () ())) ())
#s(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))))))))) (taylor 0 a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2) (patch (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2) #<representation binary64>) () ())) ())
#s(alt b_2 (taylor 0 a) (#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(alt (+ b_2 (* -1/2 (/ (* a c) b_2))) (taylor 0 a) (#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(alt (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))) (taylor 0 a) (#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor 0 a) (#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(alt (pow b_2 2) (taylor 0 a) (#s(alt (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)) (patch (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a c)) (pow b_2 2)) (taylor 0 a) (#s(alt (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)) (patch (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a c)) (pow b_2 2)) (taylor 0 a) (#s(alt (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)) (patch (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a c)) (pow b_2 2)) (taylor 0 a) (#s(alt (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)) (patch (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b_2)) (taylor 0 a) (#s(alt #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) (patch #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))) (taylor 0 a) (#s(alt #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) (patch #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor 0 a) (#s(alt #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) (patch #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor 0 a) (#s(alt #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) (patch #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b_2)) (taylor 0 a) (#s(alt (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a) (patch (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))) (taylor 0 a) (#s(alt (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a) (patch (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a) #<representation binary64>) () ())) ())
#s(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)))))) (taylor 0 a) (#s(alt (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a) (patch (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor 0 a) (#s(alt (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a) (patch (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a c) b_2)) (taylor 0 a) (#s(alt #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) (patch #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))) (taylor -inf b_2) (#s(alt #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (*.f64 c #s(literal -1/8 binary64)) (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b_2)) c)) (patch #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (*.f64 c #s(literal -1/8 binary64)) (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b_2)) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a)))))) (taylor -inf b_2) (#s(alt #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (*.f64 c #s(literal -1/8 binary64)) (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b_2)) c)) (patch #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (*.f64 c #s(literal -1/8 binary64)) (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b_2)) c)) #<representation binary64>) () ())) ())
#s(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))))))) (taylor -inf b_2) (#s(alt #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (*.f64 c #s(literal -1/8 binary64)) (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b_2)) c)) (patch #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (*.f64 c #s(literal -1/8 binary64)) (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b_2)) c)) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 b_2) (taylor -inf b_2) (#s(alt (fma.f64 (*.f64 c #s(literal -1/8 binary64)) (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b_2)) (patch (fma.f64 (*.f64 c #s(literal -1/8 binary64)) (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b_2)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1/2 (* 1/8 (/ (* a c) (pow b_2 2)))) b_2)) (taylor -inf b_2) (#s(alt (fma.f64 (*.f64 c #s(literal -1/8 binary64)) (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b_2)) (patch (fma.f64 (*.f64 c #s(literal -1/8 binary64)) (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b_2)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1/2 (* 1/8 (/ (* a c) (pow b_2 2)))) b_2)) (taylor -inf b_2) (#s(alt (fma.f64 (*.f64 c #s(literal -1/8 binary64)) (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b_2)) (patch (fma.f64 (*.f64 c #s(literal -1/8 binary64)) (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b_2)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1/2 (* 1/8 (/ (* a c) (pow b_2 2)))) b_2)) (taylor -inf b_2) (#s(alt (fma.f64 (*.f64 c #s(literal -1/8 binary64)) (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b_2)) (patch (fma.f64 (*.f64 c #s(literal -1/8 binary64)) (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b_2)) #<representation binary64>) () ())) ())
#s(alt (/ c (pow b_2 2)) (taylor -inf b_2) (#s(alt (/.f64 c (*.f64 b_2 b_2)) (patch (/.f64 c (*.f64 b_2 b_2)) #<representation binary64>) () ())) ())
#s(alt (/ c (pow b_2 2)) (taylor -inf b_2) (#s(alt (/.f64 c (*.f64 b_2 b_2)) (patch (/.f64 c (*.f64 b_2 b_2)) #<representation binary64>) () ())) ())
#s(alt (/ c (pow b_2 2)) (taylor -inf b_2) (#s(alt (/.f64 c (*.f64 b_2 b_2)) (patch (/.f64 c (*.f64 b_2 b_2)) #<representation binary64>) () ())) ())
#s(alt (/ c (pow b_2 2)) (taylor -inf b_2) (#s(alt (/.f64 c (*.f64 b_2 b_2)) (patch (/.f64 c (*.f64 b_2 b_2)) #<representation binary64>) () ())) ())
#s(alt (/ a (pow b_2 3)) (taylor -inf b_2) (#s(alt (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) (patch (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ a (pow b_2 3)) (taylor -inf b_2) (#s(alt (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) (patch (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ a (pow b_2 3)) (taylor -inf b_2) (#s(alt (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) (patch (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ a (pow b_2 3)) (taylor -inf b_2) (#s(alt (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) (patch (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
228.0ms
c
@0
((/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2))) (+ (* (neg a) c) (* b_2 b_2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* a (/ -1/2 b_2)) c) (* a (/ -1/2 b_2)) (* (neg b_2) (+ (* (/ c (* b_2 b_2)) 1/2) (/ 2 a))) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (neg b_2) (+ (* (/ c (* b_2 b_2)) 1/2) (/ 2 a)) (* (+ (* (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) c) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) (* c -1/8) (/ c (* b_2 b_2)) (/ a (pow b_2 3)))
24.0ms
c
@-inf
((/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2))) (+ (* (neg a) c) (* b_2 b_2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* a (/ -1/2 b_2)) c) (* a (/ -1/2 b_2)) (* (neg b_2) (+ (* (/ c (* b_2 b_2)) 1/2) (/ 2 a))) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (neg b_2) (+ (* (/ c (* b_2 b_2)) 1/2) (/ 2 a)) (* (+ (* (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) c) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) (* c -1/8) (/ c (* b_2 b_2)) (/ a (pow b_2 3)))
23.0ms
a
@-inf
((/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2))) (+ (* (neg a) c) (* b_2 b_2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* a (/ -1/2 b_2)) c) (* a (/ -1/2 b_2)) (* (neg b_2) (+ (* (/ c (* b_2 b_2)) 1/2) (/ 2 a))) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (neg b_2) (+ (* (/ c (* b_2 b_2)) 1/2) (/ 2 a)) (* (+ (* (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) c) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) (* c -1/8) (/ c (* b_2 b_2)) (/ a (pow b_2 3)))
18.0ms
b_2
@0
((/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2))) (+ (* (neg a) c) (* b_2 b_2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* a (/ -1/2 b_2)) c) (* a (/ -1/2 b_2)) (* (neg b_2) (+ (* (/ c (* b_2 b_2)) 1/2) (/ 2 a))) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (neg b_2) (+ (* (/ c (* b_2 b_2)) 1/2) (/ 2 a)) (* (+ (* (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) c) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) (* c -1/8) (/ c (* b_2 b_2)) (/ a (pow b_2 3)))
18.0ms
b_2
@inf
((/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2))) (+ (* (neg a) c) (* b_2 b_2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* a (/ -1/2 b_2)) c) (* a (/ -1/2 b_2)) (* (neg b_2) (+ (* (/ c (* b_2 b_2)) 1/2) (/ 2 a))) (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (neg b_2) (+ (* (/ c (* b_2 b_2)) 1/2) (/ 2 a)) (* (+ (* (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) c) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) (* c -1/8) (/ c (* b_2 b_2)) (/ a (pow b_2 3)))

simplify273.0ms (3%)

Memory
38.8MiB live, 308.1MiB allocated
Algorithm
egg-herbie
Rules
17 320×lower-fma.f64
17 320×lower-fma.f32
8 610×lower-*.f64
8 610×lower-*.f32
3 896×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071610349
1224710172
2738710124
084019691
Stop Event
iter limit
node limit
Counts
648 → 645
Calls
Call 1
Inputs
(* -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))))))))
(* -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)))))))))
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))))))))
(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))
(* -1/2 (/ 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))))))))
(* -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))))))))
(* -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)))))))))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ a b_2))
(* -1/2 (/ a b_2))
(* -1/2 (/ a b_2))
(* -1/2 (/ a b_2))
(* -2 (/ b_2 a))
(/ (+ (* -2 b_2) (* -1/2 (/ (* a c) b_2))) a)
(/ (+ (* -2 b_2) (* -1/2 (/ (* a c) b_2))) a)
(/ (+ (* -2 b_2) (* -1/2 (/ (* a c) b_2))) 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))))))))
(/ 2 a)
(/ (+ 2 (* 1/2 (/ (* a c) (pow b_2 2)))) a)
(/ (+ 2 (* 1/2 (/ (* a c) (pow b_2 2)))) a)
(/ (+ 2 (* 1/2 (/ (* a c) (pow b_2 2)))) 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)) (* -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))
(+ (* -1/2 (/ 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))))))))
(/ -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)))
(/ a (pow b_2 3))
(/ a (pow b_2 3))
(/ a (pow b_2 3))
(/ a (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)) (+ (* -1/8 (* (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)))))
(* (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)))
(* (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 (* a c))
(* a (+ (* -1 c) (/ (pow b_2 2) a)))
(* a (+ (* -1 c) (/ (pow b_2 2) a)))
(* a (+ (* -1 c) (/ (pow b_2 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) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* (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)))))
(* (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)))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ a b_2))
(* -1/2 (/ a b_2))
(* -1/2 (/ a b_2))
(* -1/2 (/ a b_2))
(* -1/2 (/ c b_2))
(+ (* -2 (/ b_2 a)) (* -1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* -1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* -1/2 (/ c b_2)))
(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))))))
(* 1/2 (/ c (pow b_2 2)))
(+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(* -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)))))
(* (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)))))
(* -1/8 (/ (* 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)))))
(/ a (pow b_2 3))
(/ a (pow b_2 3))
(/ a (pow b_2 3))
(/ a (pow b_2 3))
(* -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 (* (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 (* (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)))))))
(* -1 (* a c))
(* -1 (* a (+ c (* -1 (/ (pow b_2 2) a)))))
(* -1 (* a (+ c (* -1 (/ (pow b_2 2) a)))))
(* -1 (* a (+ c (* -1 (/ (pow b_2 2) a)))))
(* -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 (* (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 (* (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))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ a b_2))
(* -1/2 (/ a b_2))
(* -1/2 (/ a b_2))
(* -1/2 (/ a b_2))
(* -1/2 (/ c b_2))
(+ (* -2 (/ b_2 a)) (* -1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* -1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* -1/2 (/ c b_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 (pow b_2 2)))
(+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(* -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 (* (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)))
(* -1/8 (/ (* 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))))))
(/ a (pow b_2 3))
(/ a (pow b_2 3))
(/ a (pow b_2 3))
(/ a (pow b_2 3))
(* -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))))
(* -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)))))))))
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))))))))
(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))
(* -1/2 (/ 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))))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(/ c b_2)
(/ c b_2)
(/ c b_2)
(/ c b_2)
(* -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))))
(* -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)))))))))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -2 (/ b_2 a))
(+ (* -2 (/ b_2 a)) (* -1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* -1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* -1/2 (/ c b_2)))
(* 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))))
(/ 2 a)
(+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(* -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))))
(* -1/2 (/ 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))))
(/ -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 c)
(* -1/8 c)
(* -1/8 c)
(* -1/8 c)
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 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))))))
(* (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)))
(* (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 (* a c))
(* c (+ (* -1 a) (/ (pow b_2 2) c)))
(* c (+ (* -1 a) (/ (pow b_2 2) c)))
(* c (+ (* -1 a) (/ (pow b_2 2) c)))
(* (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))))))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(/ c b_2)
(/ c b_2)
(/ c b_2)
(/ c 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))))))
(* (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)))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ c b_2))
(* c (- (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* c (- (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* c (- (* -2 (/ b_2 (* a c))) (* 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)))))))
(* 1/2 (/ c (pow b_2 2)))
(* c (+ (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2)))))
(* c (+ (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2)))))
(* c (+ (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 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)))))
(* (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))))))
(* -1/8 (/ (* 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 c)
(* -1/8 c)
(* -1/8 c)
(* -1/8 c)
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(* -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)))))
(* -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)))))
(* -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))
(* -1 (* c (+ a (* -1 (/ (pow b_2 2) c)))))
(* -1 (* c (+ a (* -1 (/ (pow b_2 2) c)))))
(* -1 (* c (+ a (* -1 (/ (pow b_2 2) c)))))
(* -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)))))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(/ c b_2)
(/ c b_2)
(/ c b_2)
(/ c b_2)
(* -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)))))
(* -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)))))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ c b_2))
(* -1 (* c (+ (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -1 (* c (+ (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -1 (* c (+ (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_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)))))
(* 1/2 (/ c (pow b_2 2)))
(* c (+ (* 1/2 (/ 1 (pow b_2 2))) (* 2 (/ 1 (* a c)))))
(* c (+ (* 1/2 (/ 1 (pow b_2 2))) (* 2 (/ 1 (* a c)))))
(* c (+ (* 1/2 (/ 1 (pow b_2 2))) (* 2 (/ 1 (* a 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 (* (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)))))
(* -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))))))
(* -1/8 c)
(* -1/8 c)
(* -1/8 c)
(* -1/8 c)
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(* (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)))
(* (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)))
(* (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)))))))))
(* -1 (* a c))
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(* (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 b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(/ c b_2)
(/ c b_2)
(/ c b_2)
(/ c b_2)
(* (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)))
(* (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) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ a b_2))
(* -1/2 (/ a b_2))
(* -1/2 (/ a b_2))
(* -1/2 (/ a b_2))
(* -1/2 (/ c b_2))
(/ (+ (* -2 (/ (pow b_2 2) a)) (* -1/2 c)) b_2)
(/ (+ (* -2 (/ (pow b_2 2) a)) (* -1/2 c)) b_2)
(/ (+ (* -2 (/ (pow b_2 2) a)) (* -1/2 c)) b_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 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* 1/2 (/ c (pow b_2 2)))
(/ (+ (* 1/2 c) (* 2 (/ (pow b_2 2) a))) (pow b_2 2))
(/ (+ (* 1/2 c) (* 2 (/ (pow b_2 2) a))) (pow b_2 2))
(/ (+ (* 1/2 c) (* 2 (/ (pow b_2 2) a))) (pow b_2 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))
(* (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)))
(* -1/8 (/ (* 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))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ a (pow b_2 3))
(/ a (pow b_2 3))
(/ a (pow b_2 3))
(/ a (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))) (* -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)
(* -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)
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)))))))
(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)))))
(* -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)
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(/ c b_2)
(/ c b_2)
(/ c b_2)
(/ c b_2)
(* -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)
(* -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)
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ a b_2))
(* -1/2 (/ a b_2))
(* -1/2 (/ a b_2))
(* -1/2 (/ a b_2))
(* -2 (/ b_2 a))
(* b_2 (- (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (- (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (- (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 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)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(/ 2 a)
(+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(* -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))
(/ (+ (* -1/2 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)
(/ -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)
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ a (pow b_2 3))
(/ a (pow b_2 3))
(/ a (pow b_2 3))
(/ a (pow b_2 3))
(* -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)))))))
(* -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 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))))))))
(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)))))
(* -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))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(/ c b_2)
(/ c b_2)
(/ c b_2)
(/ c b_2)
(* -2 (/ b_2 a))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ 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)))))))
(* -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))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ a b_2))
(* -1/2 (/ a b_2))
(* -1/2 (/ a b_2))
(* -1/2 (/ a 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))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -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 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(/ 2 a)
(+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(* -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))
(* -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 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))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ a (pow b_2 3))
(/ a (pow b_2 3))
(/ a (pow b_2 3))
(/ a (pow b_2 3))
Outputs
(* -1/2 (/ c b_2))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(fma.f64 (*.f64 (*.f64 (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64)) c) c (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(+ (* -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 (fma.f64 (*.f64 a #s(literal -1/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(+ (* -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 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (*.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 (pow.f64 c #s(literal 3 binary64)) #s(literal -1/16 binary64)) (pow.f64 b_2 #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(* -1/2 (/ (* a c) b_2))
(*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64)) c) c (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a)
(* 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 (fma.f64 (fma.f64 (*.f64 a #s(literal -1/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a)
(* 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 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (*.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 (pow.f64 c #s(literal 3 binary64)) #s(literal -1/16 binary64)) (pow.f64 b_2 #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a)
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 c b_2) b_2)
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64)) c) c (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a 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 (fma.f64 (fma.f64 (*.f64 a #s(literal -1/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a b_2)
(pow b_2 2)
(*.f64 b_2 b_2)
(+ (* -1 (* a c)) (pow b_2 2))
(fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))
(+ (* -1 (* a c)) (pow b_2 2))
(fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))
(+ (* -1 (* a c)) (pow b_2 2))
(fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))
(* -1/2 (/ c b_2))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(fma.f64 (*.f64 (*.f64 (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64)) c) c (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(+ (* -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 (fma.f64 (*.f64 a #s(literal -1/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(+ (* -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 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (*.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 (pow.f64 c #s(literal 3 binary64)) #s(literal -1/16 binary64)) (pow.f64 b_2 #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(* -1/2 (/ c b_2))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(fma.f64 (*.f64 (*.f64 (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64)) c) c (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(+ (* -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 (fma.f64 (*.f64 a #s(literal -1/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(+ (* -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 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (*.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 (pow.f64 c #s(literal 3 binary64)) #s(literal -1/16 binary64)) (pow.f64 b_2 #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(* -1/2 (/ (* a c) b_2))
(*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64)) c) c (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a)
(* 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 (fma.f64 (fma.f64 (*.f64 a #s(literal -1/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a)
(* 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 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (*.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 (pow.f64 c #s(literal 3 binary64)) #s(literal -1/16 binary64)) (pow.f64 b_2 #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a)
(* -1/2 (/ (* a c) b_2))
(*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)
(* -1/2 (/ (* a c) b_2))
(*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)
(* -1/2 (/ (* a c) b_2))
(*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)
(* -1/2 (/ (* a c) b_2))
(*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)
(* -1/2 (/ a b_2))
(*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))
(* -1/2 (/ a b_2))
(*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))
(* -1/2 (/ a b_2))
(*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))
(* -1/2 (/ a b_2))
(*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))
(* -2 (/ b_2 a))
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(/ (+ (* -2 b_2) (* -1/2 (/ (* a c) b_2))) a)
(/.f64 (fma.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c (*.f64 #s(literal -2 binary64) b_2)) a)
(/ (+ (* -2 b_2) (* -1/2 (/ (* a c) b_2))) a)
(/.f64 (fma.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c (*.f64 #s(literal -2 binary64) b_2)) a)
(/ (+ (* -2 b_2) (* -1/2 (/ (* a c) b_2))) a)
(/.f64 (fma.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c (*.f64 #s(literal -2 binary64) b_2)) 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 3))) (* 1/2 (/ c b_2)))
(*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64)) c (/.f64 #s(literal 1/2 binary64) b_2)) c)
(+ (* 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 (fma.f64 (*.f64 #s(literal 1/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal 1/2 binary64) (/.f64 c 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 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (*.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 (pow.f64 c #s(literal 3 binary64)) #s(literal 1/16 binary64)) (pow.f64 b_2 #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a))
(/ 2 a)
(/.f64 #s(literal 2 binary64) a)
(/ (+ 2 (* 1/2 (/ (* a c) (pow b_2 2)))) a)
(/.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b_2)) b_2) #s(literal 1/2 binary64) #s(literal 2 binary64)) a)
(/ (+ 2 (* 1/2 (/ (* a c) (pow b_2 2)))) a)
(/.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b_2)) b_2) #s(literal 1/2 binary64) #s(literal 2 binary64)) a)
(/ (+ 2 (* 1/2 (/ (* a c) (pow b_2 2)))) a)
(/.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b_2)) b_2) #s(literal 1/2 binary64) #s(literal 2 binary64)) a)
(* -1/2 (/ c b_2))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(fma.f64 (*.f64 (*.f64 (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64)) c) c (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(fma.f64 (*.f64 (*.f64 (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64)) c) c (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(fma.f64 (*.f64 (*.f64 (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64)) c) c (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(* -1/2 (/ c b_2))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(fma.f64 (*.f64 (*.f64 (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64)) c) c (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(+ (* -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 (fma.f64 (*.f64 a #s(literal -1/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(+ (* -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 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (*.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 (pow.f64 c #s(literal 3 binary64)) #s(literal -1/16 binary64)) (pow.f64 b_2 #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(/ -1/2 b_2)
(/.f64 #s(literal -1/2 binary64) b_2)
(- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))
(/.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b_2)) b_2) #s(literal -1/8 binary64) #s(literal -1/2 binary64)) b_2)
(- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))
(/.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b_2)) b_2) #s(literal -1/8 binary64) #s(literal -1/2 binary64)) b_2)
(- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))
(/.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b_2)) b_2) #s(literal -1/8 binary64) #s(literal -1/2 binary64)) b_2)
(/ a (pow b_2 3))
(/.f64 a (pow.f64 b_2 #s(literal 3 binary64)))
(/ a (pow b_2 3))
(/.f64 a (pow.f64 b_2 #s(literal 3 binary64)))
(/ a (pow b_2 3))
(/.f64 a (pow.f64 b_2 #s(literal 3 binary64)))
(/ a (pow b_2 3))
(/.f64 a (pow.f64 b_2 #s(literal 3 binary64)))
(* (sqrt (/ c a)) (sqrt -1))
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(* -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 (neg.f64 b_2) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 a (/.f64 c b_2)) b_2) #s(literal -1/2 binary64) #s(literal 2 binary64))))
(* -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 (neg.f64 b_2) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 a (/.f64 c b_2)) b_2) #s(literal -1/2 binary64) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64))))))
(* -1/2 (/ (* a c) b_2))
(*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)
(* -1/2 (/ (* a c) b_2))
(*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)
(* -1/2 (/ (* a c) b_2))
(*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)
(* -1/2 (/ (* a c) b_2))
(*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)
(* -1/2 (/ a b_2))
(*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))
(* -1/2 (/ a b_2))
(*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))
(* -1/2 (/ a b_2))
(*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))
(* -1/2 (/ a b_2))
(*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))
(* -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 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) a)))
(* -1 (* b_2 (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) a)))
(* -1 (* b_2 (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) a)))
(* -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 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal 1/2 binary64) (/.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 (neg.f64 b_2) (fma.f64 (*.f64 (*.f64 c c) (/.f64 a (pow.f64 b_2 #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal 1/2 binary64) (/.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)))))))
(*.f64 (neg.f64 b_2) (fma.f64 (*.f64 (*.f64 c c) a) (/.f64 #s(literal -1/8 binary64) (pow.f64 b_2 #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) a)))))
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(/ 2 a)
(/.f64 #s(literal 2 binary64) a)
(+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) a))
(+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) a))
(+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) a))
(* -1/2 (/ c b_2))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 c c) b_2)) (/.f64 a b_2) (*.f64 #s(literal 1/2 binary64) c)) (neg.f64 b_2))
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 c c) b_2)) (/.f64 a b_2) (*.f64 #s(literal 1/2 binary64) c)) (neg.f64 b_2))
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 c c) b_2)) (/.f64 a b_2) (*.f64 #s(literal 1/2 binary64) c)) (neg.f64 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 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.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))) (* 2 (/ 1 a))))))
(*.f64 (neg.f64 b_2) (fma.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 c b_2) (fma.f64 (*.f64 (*.f64 c c) (/.f64 a (pow.f64 b_2 #s(literal 4 binary64)))) #s(literal -1/8 binary64) (/.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 (neg.f64 b_2) (fma.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 c b_2) (fma.f64 (*.f64 (*.f64 c c) a) (/.f64 #s(literal -1/8 binary64) (pow.f64 b_2 #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1/16 binary64) (/.f64 #s(literal 2 binary64) a)))))
(/ -1/2 b_2)
(/.f64 #s(literal -1/2 binary64) b_2)
(* -1 (/ (+ 1/2 (* 1/8 (/ (* a c) (pow b_2 2)))) b_2))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 a (/.f64 c b_2)) b_2) #s(literal 1/2 binary64)) (neg.f64 b_2))
(* -1 (/ (+ 1/2 (* 1/8 (/ (* a c) (pow b_2 2)))) b_2))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 a (/.f64 c b_2)) b_2) #s(literal 1/2 binary64)) (neg.f64 b_2))
(* -1 (/ (+ 1/2 (* 1/8 (/ (* a c) (pow b_2 2)))) b_2))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 a (/.f64 c b_2)) b_2) #s(literal 1/2 binary64)) (neg.f64 b_2))
(/ c (pow b_2 2))
(/.f64 (/.f64 c b_2) b_2)
(/ c (pow b_2 2))
(/.f64 (/.f64 c b_2) b_2)
(/ c (pow b_2 2))
(/.f64 (/.f64 c b_2) b_2)
(/ c (pow b_2 2))
(/.f64 (/.f64 c b_2) b_2)
(/ a (pow b_2 3))
(/.f64 a (pow.f64 b_2 #s(literal 3 binary64)))
(/ a (pow b_2 3))
(/.f64 a (pow.f64 b_2 #s(literal 3 binary64)))
(/ a (pow b_2 3))
(/.f64 a (pow.f64 b_2 #s(literal 3 binary64)))
(/ a (pow b_2 3))
(/.f64 a (pow.f64 b_2 #s(literal 3 binary64)))

rewrite268.0ms (3%)

Memory
-31.0MiB live, 328.5MiB allocated
Rules
5 356×lower-*.f32
5 342×lower-*.f64
4 404×lower-/.f32
4 390×lower-/.f64
4 256×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048238
074232
1303230
22185230
09116229
Stop Event
iter limit
node limit
iter limit
Counts
21 → 719
Calls
Call 1
Inputs
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2) a)
(-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2)
(sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)))
(fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(/.f64 c b_2)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c))
(*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)
(*.f64 a (/.f64 #s(literal -1/2 binary64) b_2))
(*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) a)))
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
(neg.f64 b_2)
(fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) a))
(*.f64 (fma.f64 (*.f64 c #s(literal -1/8 binary64)) (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b_2)) c)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (*.f64 c #s(literal -1/8 binary64)) (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b_2)) c))
(fma.f64 (*.f64 c #s(literal -1/8 binary64)) (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b_2))
(*.f64 c #s(literal -1/8 binary64))
(/.f64 c (*.f64 b_2 b_2))
(/.f64 a (pow.f64 b_2 #s(literal 3 binary64)))
Outputs
(*.f64 (pow.f64 (/.f64 a (-.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2)) (*.f64 b_2 b_2))) #s(literal -1 binary64)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) b_2) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 a (-.f64 (*.f64 b_2 b_2) (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 a (-.f64 (pow.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 b_2 (+.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) b_2) (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 a (-.f64 (pow.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 b_2 b_2 (+.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) b_2))) #s(literal -1 binary64)))
(*.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) b_2) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 a #s(literal -1 binary64)) (-.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) b_2))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) b_2) a))
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) b_2)) (pow.f64 (neg.f64 a) #s(literal -1 binary64)))
(*.f64 (-.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) b_2) (pow.f64 a #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) b_2)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) b_2)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2)))) (/.f64 a b_2)) (*.f64 (neg.f64 a) #s(literal 1 binary64))) (*.f64 (neg.f64 a) (/.f64 a b_2)))
(/.f64 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2)))) (neg.f64 a)) (*.f64 (neg.f64 a) (neg.f64 b_2))) (*.f64 a a))
(/.f64 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2)))) a) (*.f64 (neg.f64 a) b_2)) (*.f64 (neg.f64 a) a))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 a b_2)) (*.f64 (/.f64 a (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2)))) #s(literal 1 binary64))) (*.f64 (/.f64 a (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2)))) (/.f64 a b_2)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 a)) (*.f64 (/.f64 a (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2)))) (neg.f64 b_2))) (*.f64 (/.f64 a (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2)))) (neg.f64 a)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 a (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2)))) b_2)) (*.f64 (/.f64 a (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2)))) a))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) (/.f64 a b_2)) (*.f64 a #s(literal 1 binary64))) (*.f64 a (/.f64 a b_2)))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) (neg.f64 a)) (*.f64 a (neg.f64 b_2))) (*.f64 a (neg.f64 a)))
(/.f64 (-.f64 (neg.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2)))) (neg.f64 b_2)) (neg.f64 a))
(/.f64 (/.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) b_2)) #s(literal -1 binary64)) a)
(/.f64 (*.f64 (-.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2)) (*.f64 b_2 b_2)) (pow.f64 a #s(literal -1 binary64))) (+.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) b_2))
(/.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) (pow.f64 a #s(literal -1 binary64))) (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (pow.f64 a #s(literal -1 binary64))) (fma.f64 b_2 (+.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) b_2) (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (pow.f64 a #s(literal -1 binary64))) (fma.f64 b_2 b_2 (+.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) b_2))))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) b_2) #s(literal 1 binary64)) a)
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a) #s(literal 2 binary64)) (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64))) (+.f64 (/.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a) (/.f64 b_2 a)))
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a) #s(literal 3 binary64)) (pow.f64 (/.f64 b_2 a) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a) (/.f64 b_2 a)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) b_2))) (neg.f64 (neg.f64 a)))
(/.f64 (*.f64 (-.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2)) (*.f64 b_2 b_2)) #s(literal 1 binary64)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) b_2) a))
(/.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) #s(literal 1 binary64)) (*.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2)))) a))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 b_2 (+.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) b_2) (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 b_2 b_2 (+.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) b_2))) a))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a) (*.f64 a b_2)) (*.f64 a a))
(/.f64 (-.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2)) (*.f64 b_2 b_2)) (*.f64 a (+.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) b_2)))
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(/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 b_2 #s(literal 3 binary64)) (*.f64 b_2 (*.f64 (*.f64 #s(literal -1/8 binary64) c) a))) (pow.f64 b_2 #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) c) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) b_2) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) c) #s(literal -1/8 binary64)) (/.f64 #s(literal -1/2 binary64) b_2)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) c) #s(literal -1/8 binary64)) (/.f64 #s(literal -1/2 binary64) b_2)) (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) c) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) b_2) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) c) #s(literal 2 binary64)) #s(literal 1/64 binary64) (-.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) b_2) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) c) a) #s(literal -1/2 binary64)) (pow.f64 b_2 #s(literal 4 binary64))))) (fma.f64 (pow.f64 (*.f64 (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) c) #s(literal 3 binary64)) #s(literal -1/512 binary64) (pow.f64 (/.f64 #s(literal -1/2 binary64) b_2) #s(literal 3 binary64)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) c) #s(literal 3 binary64)) #s(literal -1/512 binary64) (pow.f64 (/.f64 #s(literal -1/2 binary64) b_2) #s(literal 3 binary64))) (fma.f64 (pow.f64 b_2 #s(literal -2 binary64)) #s(literal 1/4 binary64) (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) c) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) c) a) #s(literal -1/2 binary64)) (pow.f64 b_2 #s(literal 4 binary64))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) c) #s(literal 3 binary64)) #s(literal -1/512 binary64) (pow.f64 (/.f64 #s(literal -1/2 binary64) b_2) #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) c) #s(literal 2 binary64)) #s(literal 1/64 binary64) (-.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) b_2) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) c) a) #s(literal -1/2 binary64)) (pow.f64 b_2 #s(literal 4 binary64))))))
(fma.f64 (*.f64 (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) c) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) b_2))
(fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) c) (pow.f64 b_2 #s(literal 3/2 binary64))) (/.f64 a (pow.f64 b_2 #s(literal 3/2 binary64))) (/.f64 #s(literal -1/2 binary64) b_2))
(fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) c) (*.f64 b_2 b_2)) (/.f64 a b_2) (/.f64 #s(literal -1/2 binary64) b_2))
(fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) c) b_2) (/.f64 a (*.f64 b_2 b_2)) (/.f64 #s(literal -1/2 binary64) b_2))
(fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) c) a) (pow.f64 b_2 #s(literal -3 binary64)) (/.f64 #s(literal -1/2 binary64) b_2))
(fma.f64 (*.f64 (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b_2))
(fma.f64 (pow.f64 b_2 #s(literal -1 binary64)) #s(literal -1/2 binary64) (*.f64 (*.f64 (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) c) #s(literal -1/8 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) b_2) (*.f64 (*.f64 (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) c) #s(literal -1/8 binary64)))
(fma.f64 (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) (*.f64 #s(literal -1/8 binary64) c) (/.f64 #s(literal -1/2 binary64) b_2))
(fma.f64 (*.f64 #s(literal -1/8 binary64) c) (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b_2))
(fma.f64 #s(literal -1/8 binary64) (*.f64 c (/.f64 a (pow.f64 b_2 #s(literal 3 binary64)))) (/.f64 #s(literal -1/2 binary64) b_2))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (neg.f64 b_2) #s(literal -1 binary64)) (*.f64 (*.f64 (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) c) #s(literal -1/8 binary64)))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 b_2 #s(literal -1 binary64)) (*.f64 (*.f64 (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) c) #s(literal -1/8 binary64)))
(fma.f64 c (*.f64 (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64)) (/.f64 #s(literal -1/2 binary64) b_2))
(fma.f64 a (*.f64 (pow.f64 b_2 #s(literal -3 binary64)) (*.f64 #s(literal -1/8 binary64) c)) (/.f64 #s(literal -1/2 binary64) b_2))
(-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) c) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) c) #s(literal -1/8 binary64)) (/.f64 #s(literal -1/2 binary64) b_2))) (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) b_2) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) c) #s(literal -1/8 binary64)) (/.f64 #s(literal -1/2 binary64) b_2))))
(+.f64 (*.f64 (*.f64 (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) c) #s(literal -1/8 binary64)) (/.f64 #s(literal -1/2 binary64) b_2))
(+.f64 (/.f64 #s(literal -1/2 binary64) b_2) (*.f64 (*.f64 (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) c) #s(literal -1/8 binary64)))
(*.f64 #s(literal -1/8 binary64) c)
(*.f64 c #s(literal -1/8 binary64))
(*.f64 (pow.f64 b_2 #s(literal -2 binary64)) (pow.f64 (pow.f64 c #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 b_2 #s(literal -2 binary64)) c)
(*.f64 (pow.f64 b_2 #s(literal -1 binary64)) (/.f64 c b_2))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 c b_2) b_2))
(*.f64 (neg.f64 c) (pow.f64 (*.f64 (neg.f64 b_2) b_2) #s(literal -1 binary64)))
(*.f64 (/.f64 c b_2) (pow.f64 b_2 #s(literal -1 binary64)))
(*.f64 c (pow.f64 b_2 #s(literal -2 binary64)))
(pow.f64 (*.f64 (/.f64 b_2 c) b_2) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 b_2 (/.f64 b_2 c)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 b_2 (/.f64 c b_2)) #s(literal -1 binary64))
(pow.f64 (*.f64 b_2 (/.f64 b_2 c)) #s(literal -1 binary64))
(/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 b_2 b_2))
(/.f64 (neg.f64 (/.f64 c b_2)) (neg.f64 b_2))
(/.f64 (neg.f64 (neg.f64 c)) (*.f64 b_2 b_2))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 b_2 (/.f64 b_2 c))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 (/.f64 b_2 c)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 b_2 (/.f64 c b_2)))
(/.f64 #s(literal 1 binary64) (*.f64 b_2 (/.f64 b_2 c)))
(/.f64 (neg.f64 c) (*.f64 (neg.f64 b_2) b_2))
(/.f64 (/.f64 c b_2) b_2)
(/.f64 c (*.f64 b_2 b_2))
(neg.f64 (/.f64 (neg.f64 c) (*.f64 b_2 b_2)))
(neg.f64 (/.f64 c (*.f64 (neg.f64 b_2) b_2)))
(exp.f64 (*.f64 (log.f64 (*.f64 b_2 (/.f64 b_2 c))) #s(literal -1 binary64)))
(*.f64 (pow.f64 b_2 #s(literal -3/2 binary64)) (pow.f64 (/.f64 (pow.f64 b_2 #s(literal 3/2 binary64)) a) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))))
(*.f64 (pow.f64 b_2 #s(literal -3 binary64)) (pow.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 b_2 #s(literal -3 binary64)) a)
(*.f64 (pow.f64 b_2 #s(literal -2 binary64)) (pow.f64 (/.f64 b_2 a) #s(literal -1 binary64)))
(*.f64 (pow.f64 b_2 #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))))
(*.f64 (neg.f64 a) (pow.f64 b_2 #s(literal -3 binary64)))
(*.f64 a (pow.f64 b_2 #s(literal -3 binary64)))
(pow.f64 (/.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) a) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) a) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (pow.f64 b_2 #s(literal 3 binary64))) (*.f64 (pow.f64 b_2 #s(literal 3 binary64)) a)) (pow.f64 b_2 #s(literal 6 binary64)))
(/.f64 (*.f64 a #s(literal 1 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))
(/.f64 (/.f64 a (pow.f64 b_2 #s(literal 3/2 binary64))) (pow.f64 b_2 #s(literal 3/2 binary64)))
(/.f64 (/.f64 a b_2) (*.f64 b_2 b_2))
(/.f64 (/.f64 a (*.f64 b_2 b_2)) b_2)
(/.f64 (neg.f64 (neg.f64 a)) (pow.f64 b_2 #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) a) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) a))
(/.f64 (neg.f64 a) (pow.f64 b_2 #s(literal 3 binary64)))
(/.f64 a (pow.f64 b_2 #s(literal 3 binary64)))
(neg.f64 (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) a)) #s(literal -1 binary64)))

eval300.0ms (3.3%)

Memory
50.8MiB live, 510.8MiB allocated
Compiler

Compiled 29 651 to 3 995 computations (86.5% saved)

prune483.0ms (5.4%)

Memory
-119.4MiB live, 420.5MiB allocated
Pruning

30 alts after pruning (25 fresh and 5 done)

PrunedKeptTotal
New1 348161 364
Fresh7916
Picked145
Done011
Total1 356301 386
Accuracy
90.9%
Counts
1 386 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.7%
(/.f64 (/.f64 (-.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2)) (*.f64 b_2 b_2)) (+.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) b_2)) a)
26.1%
(/.f64 (-.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2)) (*.f64 b_2 b_2)) (*.f64 a (+.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) b_2)))
33.7%
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a) (*.f64 a b_2)) (*.f64 a a))
36.8%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 a (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2)))) b_2)) (*.f64 (/.f64 a (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2)))) a))
57.1%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2) a)
38.0%
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c))) b_2) a)
30.6%
(/.f64 (*.f64 (-.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2)) (*.f64 b_2 b_2)) (pow.f64 a #s(literal -1 binary64))) (+.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) b_2))
23.5%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c)) a)
23.5%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a)
57.0%
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2)))
23.5%
(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c))))
8.3%
(exp.f64 (*.f64 (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c)))) #s(literal -1 binary64)))
32.2%
#s(approx (/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b_2)) b_2) #s(literal -1/8 binary64) #s(literal -1/2 binary64)) b_2) c))
12.6%
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (/.f64 (*.f64 (fma.f64 (pow.f64 a #s(literal -3 binary64)) #s(literal 8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 c b_2) b_2)) #s(literal 3 binary64))) (neg.f64 b_2)) (fma.f64 (pow.f64 (*.f64 b_2 (/.f64 b_2 c)) #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 2 binary64) a) (-.f64 (/.f64 #s(literal 2 binary64) a) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 c b_2) b_2)))))))
10.6%
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
33.3%
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
15.7%
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (*.f64 (neg.f64 b_2) (fma.f64 (exp.f64 (*.f64 (log.f64 (*.f64 b_2 (/.f64 b_2 c))) #s(literal -1 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
34.4%
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (*.f64 (neg.f64 b_2) #s(approx (+ (* (/ c (* b_2 b_2)) 1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a))))
12.8%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 b_2) #s(literal -1/2 binary64)) (/.f64 (/.f64 c b_2) b_2)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (neg.f64 b_2) #s(literal -1/2 binary64)) (/.f64 (/.f64 c b_2) b_2)) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))))
32.1%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
34.4%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -2 binary64) (/.f64 a b_2)))
20.7%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) c) a) (*.f64 b_2 b_2)) b_2 (*.f64 b_2 #s(literal -1/2 binary64))) (*.f64 b_2 b_2)) c))
32.3%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
32.3%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
10.6%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) #s(approx (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (*.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64)))))
17.9%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64))) #s(literal -1/2 binary64)))
34.5%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
14.9%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64)))))
34.5%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))))
34.3%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 c b_2) (/.f64 #s(literal -2 binary64) a)) b_2)))
Compiler

Compiled 860 to 634 computations (26.3% saved)

simplify106.0ms (1.2%)

Memory
33.1MiB live, 148.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 (/.f64 a b_2))
cost-diff0
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64)))))
cost-diff320
(*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64))
cost-diff12800
(exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64)))
cost-diff0
(sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2)))
cost-diff0
(*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a)
cost-diff320
(-.f64 (*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a) (*.f64 a b_2))
cost-diff640
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a) (*.f64 a b_2)) (*.f64 a a))
cost-diff0
#s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c))
cost-diff0
(sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c)))
cost-diff0
(-.f64 (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c))) b_2)
cost-diff0
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c))) b_2) a)
cost-diff0
(/.f64 #s(literal -1/2 binary64) b_2)
cost-diff0
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
cost-diff0
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
cost-diff0
(sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)))
cost-diff0
(-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2)
cost-diff0
(/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2)))
Rules
4 684×lower-fma.f32
4 680×lower-fma.f64
2 762×lower-*.f32
2 746×lower-*.f64
2 692×lower-/.f32
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
045283
072271
1116268
2186260
3351258
4673258
51427258
64588257
77398257
08102257
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2)))
#s(literal 1 binary64)
(/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2))
a
(-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2)
(sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)))
(fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))
(neg.f64 a)
c
(*.f64 b_2 b_2)
b_2
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
(/.f64 #s(literal -1/2 binary64) b_2)
#s(literal -1/2 binary64)
b_2
c
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c))) b_2) a)
(-.f64 (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c))) b_2)
(sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c)))
#s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c))
(*.f64 (neg.f64 a) c)
(neg.f64 a)
a
c
b_2
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a) (*.f64 a b_2)) (*.f64 a a))
(-.f64 (*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a) (*.f64 a b_2))
(*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a)
(sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2)))
(fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))
c
(neg.f64 a)
a
(*.f64 b_2 b_2)
b_2
(*.f64 a b_2)
(*.f64 a a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64)))))
(*.f64 #s(literal -2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64))))
#s(literal -2 binary64)
(exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64)))
(*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64))
(log.f64 (/.f64 a b_2))
(/.f64 a b_2)
a
b_2
#s(literal -1 binary64)
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) b_2) a)
#s(literal 1 binary64)
(/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2))
(/.f64 a (-.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) b_2))
a
(-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2)
(-.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) b_2)
(sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)))
(sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2)))
(fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))
(fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))
(neg.f64 a)
c
(*.f64 b_2 b_2)
b_2
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
(/.f64 #s(literal -1/2 binary64) b_2)
#s(literal -1/2 binary64)
b_2
c
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 c (neg.f64 a)))) b_2) a)
(-.f64 (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c))) b_2)
(-.f64 (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 c (neg.f64 a)))) b_2)
(sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c)))
(sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 c (neg.f64 a))))
#s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c))
#s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 c (neg.f64 a)))
(*.f64 (neg.f64 a) c)
(*.f64 c (neg.f64 a))
(neg.f64 a)
a
c
b_2
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a) (*.f64 a b_2)) (*.f64 a a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) b_2) a)
(-.f64 (*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a) (*.f64 a b_2))
(*.f64 (-.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) b_2) a)
(*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a)
(sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2)))
(fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))
c
(neg.f64 a)
a
(*.f64 b_2 b_2)
b_2
(*.f64 a b_2)
(*.f64 b_2 a)
(*.f64 a a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -2 binary64) (/.f64 a b_2)))
(*.f64 #s(literal -2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64))))
(/.f64 #s(literal -2 binary64) (/.f64 a b_2))
#s(literal -2 binary64)
(exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64)))
(/.f64 b_2 a)
(*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64))
(log.f64 (/.f64 b_2 a))
(log.f64 (/.f64 a b_2))
(/.f64 a b_2)
a
b_2
#s(literal -1 binary64)

localize226.0ms (2.5%)

Memory
-35.6MiB live, 203.7MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 #s(literal -2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64))))
accuracy2.190491317374843
(exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64)))
accuracy7.113939803118509
(log.f64 (/.f64 a b_2))
accuracy21.14822505421261
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64)))))
accuracy0.0234375
(*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a)
accuracy5.518781750907617
(-.f64 (*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a) (*.f64 a b_2))
accuracy13.77626206004302
(sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2)))
accuracy13.862065440388509
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a) (*.f64 a b_2)) (*.f64 a a))
accuracy1.9992712440184068
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c))) b_2) a)
accuracy5.485681564410741
(-.f64 (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c))) b_2)
accuracy13.77626206004302
(sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c)))
accuracy18.310604869654732
#s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c))
accuracy0
(/.f64 #s(literal -1/2 binary64) b_2)
accuracy0.1015625
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
accuracy20.576824385370646
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
accuracy0.18850273310955795
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2)))
accuracy1.944124189885483
(/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2))
accuracy5.485681564410741
(-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2)
accuracy13.77626206004302
(sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)))
Samples
136.0ms131×0invalid
25.0ms85×0valid
17.0ms14×1valid
11.0ms17×2valid
7.0ms3valid
Compiler

Compiled 263 to 39 computations (85.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 170.0ms
ival-div: 113.0ms (66.4% of total)
ival-mult: 20.0ms (11.8% of total)
ival-sqrt: 16.0ms (9.4% of total)
ival-add: 5.0ms (2.9% of total)
ival-sub: 4.0ms (2.4% of total)
adjust: 3.0ms (1.8% of total)
ival-exp: 3.0ms (1.8% of total)
ival-log: 3.0ms (1.8% of total)
ival-neg: 2.0ms (1.2% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series184.0ms (2%)

Memory
28.4MiB live, 194.0MiB allocated
Counts
20 → 636
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2))) (patch (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2))) #<representation binary64>) () ())
#s(alt (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2)) (patch (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2)) #<representation binary64>) () ())
#s(alt (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2) (patch (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)) (patch #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c) (patch (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1/2 binary64) b_2) (patch (/.f64 #s(literal -1/2 binary64) b_2) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c))) b_2) a) (patch (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c))) b_2) a) #<representation binary64>) () ())
#s(alt (-.f64 (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c))) b_2) (patch (-.f64 (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c))) b_2) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c))) (patch (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c)) (patch #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a) (*.f64 a b_2)) (*.f64 a a)) (patch (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a) (*.f64 a b_2)) (*.f64 a a)) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a) (*.f64 a b_2)) (patch (-.f64 (*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a) (*.f64 a b_2)) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a) (patch (*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) (patch (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) #<representation binary64>) () ())
#s(alt (exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64))) (patch (exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64)) (patch (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64))))) (patch #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64))))) #<representation binary64>) () ())
#s(alt (log.f64 (/.f64 a b_2)) (patch (log.f64 (/.f64 a b_2)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64)))) (patch (*.f64 #s(literal -2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64)))) #<representation binary64>) () ())
Outputs
#s(alt (* -1/2 (/ c b_2)) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2))) (patch (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2))) (patch (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2))) (patch (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2))) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2))) (patch (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2))) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ b_2 c)) (taylor 0 a) (#s(alt (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2)) (patch (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2)) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2))) (taylor 0 a) (#s(alt (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2)) (patch (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2)) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (/ b_2 c)) (* a (+ (* -1 (* a (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3)))))) (* 1/2 (/ 1 b_2))))) (taylor 0 a) (#s(alt (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2)) (patch (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2)) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (/ b_2 c)) (* a (+ (* a (- (* -1 (* a (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) (pow c 2))) (+ (* -1/4 (/ (* c (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow c 2) (pow b_2 5))))))) (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3)))))) (* 1/2 (/ 1 b_2))))) (taylor 0 a) (#s(alt (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2)) (patch (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2)) #<representation binary64>) () ())) ())
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#s(alt (* a b_2) (taylor 0 a) (#s(alt (*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a) (patch (*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a) #<representation binary64>) () ())) ())
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#s(alt (* a (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))) (taylor 0 a) (#s(alt (*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a) (patch (*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a) #<representation binary64>) () ())) ())
#s(alt (* a (+ 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))))))))) (taylor 0 a) (#s(alt (*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a) (patch (*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a) #<representation binary64>) () ())) ())
#s(alt b_2 (taylor 0 a) (#s(alt (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) (patch (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(alt (+ b_2 (* -1/2 (/ (* a c) b_2))) (taylor 0 a) (#s(alt (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) (patch (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(alt (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))) (taylor 0 a) (#s(alt (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) (patch (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) #<representation binary64>) () ())) ())
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#s(alt (/ b_2 a) (taylor 0 a) (#s(alt (exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64))) (patch (exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ b_2 a) (taylor 0 a) (#s(alt (exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64))) (patch (exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ b_2 a) (taylor 0 a) (#s(alt (exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64))) (patch (exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ b_2 a) (taylor 0 a) (#s(alt (exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64))) (patch (exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (log a) (log (/ 1 b_2)))) (taylor 0 a) (#s(alt (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64)) (patch (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (log a) (log (/ 1 b_2)))) (taylor 0 a) (#s(alt (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64)) (patch (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
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#s(alt b_2 (taylor 0 c) (#s(alt (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) (patch (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(alt (+ b_2 (* -1/2 (/ (* a c) b_2))) (taylor 0 c) (#s(alt (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) (patch (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(alt (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))) (taylor 0 c) (#s(alt (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) (patch (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor 0 c) (#s(alt (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) (patch (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) #<representation binary64>) () ())) ())
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#s(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)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64))))) (patch #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(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)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64))))) (patch #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ c a)) (sqrt -1)) (taylor inf c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2))) (patch (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))) (taylor inf c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2))) (patch (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2))) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2))) (patch (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor inf c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2))) (patch (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ a c)) (/ 1 (sqrt -1))) (taylor inf c) (#s(alt (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2)) (patch (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (/ b_2 (pow (sqrt -1) 2))) c) (taylor inf c) (#s(alt (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2)) (patch (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (pow (sqrt -1) 2)))) c) (taylor inf c) (#s(alt (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2)) (patch (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b_2 3) (pow c 2)) (* a (pow (sqrt -1) 4)))) (* (sqrt (/ c a)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1 (/ b_2 (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3))))))) c) (taylor inf c) (#s(alt (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2)) (patch (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -1)) (taylor inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2) (patch (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))) (taylor inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2) (patch (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2) #<representation binary64>) () ())) ())
#s(alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c))) (taylor inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2) (patch (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2) #<representation binary64>) () ())) ())
#s(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))) (taylor inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2) (patch (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -1)) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ c a)) (sqrt -1)) (taylor inf c) (#s(alt #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)) (patch #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))) (taylor inf c) (#s(alt #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)) (patch #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf c) (#s(alt #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)) (patch #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)) #<representation binary64>) () ())) ())
#s(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)))))) (taylor inf c) (#s(alt #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)) (patch #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b_2)) (taylor inf c) (#s(alt (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c) (patch (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b_2)) (taylor inf c) (#s(alt (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c) (patch (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b_2)) (taylor inf c) (#s(alt (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c) (patch (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b_2)) (taylor inf c) (#s(alt (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c) (patch (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ c a)) (sqrt -1)) (taylor inf c) (#s(alt (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c))) b_2) a) (patch (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c))) b_2) a) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))) (taylor inf c) (#s(alt (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c))) b_2) a) (patch (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c))) b_2) a) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf c) (#s(alt (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c))) b_2) a) (patch (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c))) b_2) a) #<representation binary64>) () ())) ())
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#s(alt (* c (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))) (taylor inf c) (#s(alt (*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a) (patch (*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1))))) (taylor inf c) (#s(alt (*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a) (patch (*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))) (taylor inf c) (#s(alt (*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a) (patch (*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -1)) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) (patch (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) #<representation binary64>) () ())) ())
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#s(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)))))) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) (patch (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) #<representation binary64>) () ())) ())
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#s(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))))) (taylor inf c) (#s(alt #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64))))) (patch #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor inf c) (#s(alt #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64))))) (patch #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2))) (patch (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c))))) (taylor -inf c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2))) (patch (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2))) #<representation binary64>) () ())) ())
#s(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))))) (taylor -inf c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2))) (patch (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2))) #<representation binary64>) () ())) ())
#s(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))))) (taylor -inf c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2))) (patch (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ a c)) (sqrt -1))) (taylor -inf c) (#s(alt (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2)) (patch (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ b_2 (* (sqrt (* a c)) (sqrt -1))) c)) (taylor -inf c) (#s(alt (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2)) (patch (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) (* b_2 c)) c)) (* (sqrt (* a c)) (sqrt -1))) c)) (taylor -inf c) (#s(alt (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2)) (patch (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* (pow b_2 3) c) a)) (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1))))))))) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))))) c)) (* b_2 c)) c)) (* (sqrt (* a c)) (sqrt -1))) c)) (taylor -inf c) (#s(alt (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2)) (patch (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2) (patch (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))) (taylor -inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2) (patch (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1))))) (taylor -inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2) (patch (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2) #<representation binary64>) () ())) ())
#s(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))))) (taylor -inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2) (patch (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2) #<representation binary64>) () ())) ())
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#s(alt (* -1/2 (/ c b_2)) (taylor 0 b_2) (#s(alt (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c) (patch (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b_2)) (taylor 0 b_2) (#s(alt (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c) (patch (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b_2)) (taylor 0 b_2) (#s(alt (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c) (patch (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c) #<representation binary64>) () ())) ())
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#s(alt (/ -1/2 b_2) (taylor 0 b_2) (#s(alt (/.f64 #s(literal -1/2 binary64) b_2) (patch (/.f64 #s(literal -1/2 binary64) b_2) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 b_2) (taylor 0 b_2) (#s(alt (/.f64 #s(literal -1/2 binary64) b_2) (patch (/.f64 #s(literal -1/2 binary64) b_2) #<representation binary64>) () ())) ())
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#s(alt (* (sqrt (* a c)) (sqrt -1)) (taylor 0 b_2) (#s(alt (-.f64 (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c))) b_2) (patch (-.f64 (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c))) b_2) #<representation binary64>) () ())) ())
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#s(alt (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1))) (taylor 0 b_2) (#s(alt (-.f64 (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c))) b_2) (patch (-.f64 (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c))) b_2) #<representation binary64>) () ())) ())
#s(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))) (taylor 0 b_2) (#s(alt (-.f64 (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c))) b_2) (patch (-.f64 (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c))) b_2) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -1)) (taylor 0 b_2) (#s(alt (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c))) (patch (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1))) (taylor 0 b_2) (#s(alt (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c))) (patch (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c))) #<representation binary64>) () ())) ())
#s(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))))))) (taylor 0 b_2) (#s(alt (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c))) (patch (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c))) #<representation binary64>) () ())) ())
#s(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))))))))) (taylor 0 b_2) (#s(alt (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c))) (patch (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a c)) (taylor 0 b_2) (#s(alt #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c)) (patch #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a c)) (pow b_2 2)) (taylor 0 b_2) (#s(alt #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c)) (patch #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a c)) (pow b_2 2)) (taylor 0 b_2) (#s(alt #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c)) (patch #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a c)) (pow b_2 2)) (taylor 0 b_2) (#s(alt #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c)) (patch #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ c a)) (sqrt -1)) (taylor 0 b_2) (#s(alt (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a) (*.f64 a b_2)) (*.f64 a a)) (patch (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a) (*.f64 a b_2)) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) (taylor 0 b_2) (#s(alt (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a) (*.f64 a b_2)) (*.f64 a a)) (patch (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a) (*.f64 a b_2)) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1))) (taylor 0 b_2) (#s(alt (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a) (*.f64 a b_2)) (*.f64 a a)) (patch (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a) (*.f64 a b_2)) (*.f64 a a)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* b_2 (- (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (/ 1 a))) (/ -1 a)))) (taylor -inf b_2) (#s(alt (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a) (*.f64 a b_2)) (*.f64 a a)) (patch (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a) (*.f64 a b_2)) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(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))) (/ 1 a)))) (/ -1 a)))) (taylor -inf b_2) (#s(alt (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a) (*.f64 a b_2)) (*.f64 a a)) (patch (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a) (*.f64 a b_2)) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b_2 (- a (* -1 a)))) (taylor -inf b_2) (#s(alt (-.f64 (*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a) (*.f64 a b_2)) (patch (-.f64 (*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a) (*.f64 a b_2)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b_2 (- (+ a (* -1/2 (/ (* (pow a 2) c) (pow b_2 2)))) (* -1 a)))) (taylor -inf b_2) (#s(alt (-.f64 (*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a) (*.f64 a b_2)) (patch (-.f64 (*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a) (*.f64 a b_2)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b_2 (- (+ a (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))))) (* -1 a)))) (taylor -inf b_2) (#s(alt (-.f64 (*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a) (*.f64 a b_2)) (patch (-.f64 (*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a) (*.f64 a b_2)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b_2 (- (+ a (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 6)))))) (* -1 a)))) (taylor -inf b_2) (#s(alt (-.f64 (*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a) (*.f64 a b_2)) (patch (-.f64 (*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a) (*.f64 a b_2)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a b_2)) (taylor -inf b_2) (#s(alt (*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a) (patch (*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b_2 (+ a (* -1/2 (/ (* (pow a 2) c) (pow b_2 2)))))) (taylor -inf b_2) (#s(alt (*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a) (patch (*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b_2 (+ a (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))))))) (taylor -inf b_2) (#s(alt (*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a) (patch (*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b_2 (+ a (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 6)))))))) (taylor -inf b_2) (#s(alt (*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a) (patch (*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a) #<representation binary64>) () ())) ())
#s(alt (* -1 b_2) (taylor -inf b_2) (#s(alt (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) (patch (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))) (taylor -inf b_2) (#s(alt (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) (patch (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(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))))))) (taylor -inf b_2) (#s(alt (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) (patch (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor -inf b_2) (#s(alt (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) (patch (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(alt (/ b_2 a) (taylor -inf b_2) (#s(alt (exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64))) (patch (exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ b_2 a) (taylor -inf b_2) (#s(alt (exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64))) (patch (exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ b_2 a) (taylor -inf b_2) (#s(alt (exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64))) (patch (exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ b_2 a) (taylor -inf b_2) (#s(alt (exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64))) (patch (exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (log (* -1 a)) (log (/ -1 b_2)))) (taylor -inf b_2) (#s(alt (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64)) (patch (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (log (* -1 a)) (log (/ -1 b_2)))) (taylor -inf b_2) (#s(alt (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64)) (patch (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (log (* -1 a)) (log (/ -1 b_2)))) (taylor -inf b_2) (#s(alt (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64)) (patch (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (log (* -1 a)) (log (/ -1 b_2)))) (taylor -inf b_2) (#s(alt (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64)) (patch (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ b_2 a)) (taylor -inf b_2) (#s(alt #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64))))) (patch #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))) (taylor -inf b_2) (#s(alt #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64))))) (patch #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a)))))) (taylor -inf b_2) (#s(alt #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64))))) (patch #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(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))))))) (taylor -inf b_2) (#s(alt #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64))))) (patch #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1 a)) (log (/ -1 b_2))) (taylor -inf b_2) (#s(alt (log.f64 (/.f64 a b_2)) (patch (log.f64 (/.f64 a b_2)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1 a)) (log (/ -1 b_2))) (taylor -inf b_2) (#s(alt (log.f64 (/.f64 a b_2)) (patch (log.f64 (/.f64 a b_2)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1 a)) (log (/ -1 b_2))) (taylor -inf b_2) (#s(alt (log.f64 (/.f64 a b_2)) (patch (log.f64 (/.f64 a b_2)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1 a)) (log (/ -1 b_2))) (taylor -inf b_2) (#s(alt (log.f64 (/.f64 a b_2)) (patch (log.f64 (/.f64 a b_2)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ b_2 a)) (taylor -inf b_2) (#s(alt (*.f64 #s(literal -2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64)))) (patch (*.f64 #s(literal -2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ b_2 a)) (taylor -inf b_2) (#s(alt (*.f64 #s(literal -2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64)))) (patch (*.f64 #s(literal -2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ b_2 a)) (taylor -inf b_2) (#s(alt (*.f64 #s(literal -2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64)))) (patch (*.f64 #s(literal -2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ b_2 a)) (taylor -inf b_2) (#s(alt (*.f64 #s(literal -2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64)))) (patch (*.f64 #s(literal -2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
49.0ms
b_2
@0
((/ 1 (/ a (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2))) (/ a (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2)) (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ -1/2 b_2) c) (/ -1/2 b_2) (/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2))) (+ (* (neg a) c) (* b_2 b_2)) (/ (- (* (sqrt (+ (* c (neg a)) (* b_2 b_2))) a) (* a b_2)) (* a a)) (- (* (sqrt (+ (* c (neg a)) (* b_2 b_2))) a) (* a b_2)) (* (sqrt (+ (* c (neg a)) (* b_2 b_2))) a) (sqrt (+ (* c (neg a)) (* b_2 b_2))) (exp (* (log (/ a b_2)) -1)) (* (log (/ a b_2)) -1) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (log (/ a b_2)) (* -2 (exp (* (log (/ a b_2)) -1))))
21.0ms
b_2
@-inf
((/ 1 (/ a (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2))) (/ a (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2)) (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ -1/2 b_2) c) (/ -1/2 b_2) (/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2))) (+ (* (neg a) c) (* b_2 b_2)) (/ (- (* (sqrt (+ (* c (neg a)) (* b_2 b_2))) a) (* a b_2)) (* a a)) (- (* (sqrt (+ (* c (neg a)) (* b_2 b_2))) a) (* a b_2)) (* (sqrt (+ (* c (neg a)) (* b_2 b_2))) a) (sqrt (+ (* c (neg a)) (* b_2 b_2))) (exp (* (log (/ a b_2)) -1)) (* (log (/ a b_2)) -1) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (log (/ a b_2)) (* -2 (exp (* (log (/ a b_2)) -1))))
17.0ms
a
@-inf
((/ 1 (/ a (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2))) (/ a (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2)) (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ -1/2 b_2) c) (/ -1/2 b_2) (/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2))) (+ (* (neg a) c) (* b_2 b_2)) (/ (- (* (sqrt (+ (* c (neg a)) (* b_2 b_2))) a) (* a b_2)) (* a a)) (- (* (sqrt (+ (* c (neg a)) (* b_2 b_2))) a) (* a b_2)) (* (sqrt (+ (* c (neg a)) (* b_2 b_2))) a) (sqrt (+ (* c (neg a)) (* b_2 b_2))) (exp (* (log (/ a b_2)) -1)) (* (log (/ a b_2)) -1) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (log (/ a b_2)) (* -2 (exp (* (log (/ a b_2)) -1))))
16.0ms
a
@0
((/ 1 (/ a (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2))) (/ a (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2)) (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ -1/2 b_2) c) (/ -1/2 b_2) (/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2))) (+ (* (neg a) c) (* b_2 b_2)) (/ (- (* (sqrt (+ (* c (neg a)) (* b_2 b_2))) a) (* a b_2)) (* a a)) (- (* (sqrt (+ (* c (neg a)) (* b_2 b_2))) a) (* a b_2)) (* (sqrt (+ (* c (neg a)) (* b_2 b_2))) a) (sqrt (+ (* c (neg a)) (* b_2 b_2))) (exp (* (log (/ a b_2)) -1)) (* (log (/ a b_2)) -1) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (log (/ a b_2)) (* -2 (exp (* (log (/ a b_2)) -1))))
12.0ms
a
@inf
((/ 1 (/ a (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2))) (/ a (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2)) (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ -1/2 b_2) c) (/ -1/2 b_2) (/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2))) (+ (* (neg a) c) (* b_2 b_2)) (/ (- (* (sqrt (+ (* c (neg a)) (* b_2 b_2))) a) (* a b_2)) (* a a)) (- (* (sqrt (+ (* c (neg a)) (* b_2 b_2))) a) (* a b_2)) (* (sqrt (+ (* c (neg a)) (* b_2 b_2))) a) (sqrt (+ (* c (neg a)) (* b_2 b_2))) (exp (* (log (/ a b_2)) -1)) (* (log (/ a b_2)) -1) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (log (/ a b_2)) (* -2 (exp (* (log (/ a b_2)) -1))))

simplify270.0ms (3%)

Memory
16.9MiB live, 239.6MiB allocated
Algorithm
egg-herbie
Rules
9 250×lower-fma.f64
9 250×lower-fma.f32
6 420×lower-*.f64
6 420×lower-*.f32
6 056×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0102413954
1346513637
0807113062
Stop Event
iter limit
node limit
Counts
636 → 627
Calls
Call 1
Inputs
(* -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))))))))
(* -2 (/ b_2 c))
(+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))
(+ (* -2 (/ b_2 c)) (* a (+ (* -1 (* a (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3)))))) (* 1/2 (/ 1 b_2)))))
(+ (* -2 (/ b_2 c)) (* a (+ (* a (- (* -1 (* a (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) (pow c 2))) (+ (* -1/4 (/ (* c (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow c 2) (pow b_2 5))))))) (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3)))))) (* 1/2 (/ 1 b_2)))))
(* -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)))))))))
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))))))))
(* -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))))))))
(* -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))))))))
(* -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)))))))))
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))))))))
(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))
(* -1/2 (/ 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))))))))
(* -1/2 (/ (* (pow a 2) c) b_2))
(* (pow a 2) (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(* (pow a 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)))))))
(* (pow a 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)))))))))
(* a b_2)
(* a (+ b_2 (* -1/2 (/ (* a c) b_2))))
(* a (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))))
(* a (+ 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)))))))))
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))))))))
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(* -1 (+ (log a) (log (/ 1 b_2))))
(* -1 (+ (log a) (log (/ 1 b_2))))
(* -1 (+ (log a) (log (/ 1 b_2))))
(* -1 (+ (log a) (log (/ 1 b_2))))
(* -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))))))))
(+ (log a) (log (/ 1 b_2)))
(+ (log a) (log (/ 1 b_2)))
(+ (log a) (log (/ 1 b_2)))
(+ (log a) (log (/ 1 b_2)))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ 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) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* (sqrt (/ a c)) (/ 1 (sqrt -1)))
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -1))) (/ b_2 (* c (pow (sqrt -1) 2))))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))))
(- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b_2 3)) (* (pow c 2) (pow (sqrt -1) 4)))) (* (sqrt (/ a c)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 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 (- (+ (* -1/8 (* (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)))
(* (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))))))
(* (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)))))
(* (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)))))
(* (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)))
(* (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 (* a c))
(* a (+ (* -1 c) (/ (pow b_2 2) a)))
(* a (+ (* -1 c) (/ (pow b_2 2) a)))
(* a (+ (* -1 c) (/ (pow b_2 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) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* (sqrt (* (pow a 3) c)) (sqrt -1))
(* (pow a 2) (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* (pow a 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* (pow a 2) (- (+ (* -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)))
(* (sqrt (* (pow a 3) c)) (sqrt -1))
(* (pow a 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* (pow a 2) (+ (* -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)))))
(* (pow a 2) (+ (* -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))))))
(* (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))))))
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(* -1 (+ (log (/ 1 b_2)) (* -1 (log (/ 1 a)))))
(* -1 (+ (log (/ 1 b_2)) (* -1 (log (/ 1 a)))))
(* -1 (+ (log (/ 1 b_2)) (* -1 (log (/ 1 a)))))
(* -1 (+ (log (/ 1 b_2)) (* -1 (log (/ 1 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) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(+ (log (/ 1 b_2)) (* -1 (log (/ 1 a))))
(+ (log (/ 1 b_2)) (* -1 (log (/ 1 a))))
(+ (log (/ 1 b_2)) (* -1 (log (/ 1 a))))
(+ (log (/ 1 b_2)) (* -1 (log (/ 1 a))))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -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 (* (sqrt (/ a c)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ b_2 c)))
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* -1 (/ (* a b_2) c))) a)))
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* a (pow b_2 3)) (pow c 2))) (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))))))) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1))))) a)) (* -1 (/ (* a b_2) c))) 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 (* (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)))))))
(* -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 (* (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 (* (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 (* (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)))))))
(* -1 (* a c))
(* -1 (* a (+ c (* -1 (/ (pow b_2 2) a)))))
(* -1 (* a (+ c (* -1 (/ (pow b_2 2) a)))))
(* -1 (* a (+ c (* -1 (/ (pow b_2 2) a)))))
(* -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 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) (* -1 b_2)) a))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -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)) (* -1 b_2)) a))))
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (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 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(* -1 (+ (log (/ -1 b_2)) (* -1 (log (/ -1 a)))))
(* -1 (+ (log (/ -1 b_2)) (* -1 (log (/ -1 a)))))
(* -1 (+ (log (/ -1 b_2)) (* -1 (log (/ -1 a)))))
(* -1 (+ (log (/ -1 b_2)) (* -1 (log (/ -1 a)))))
(* -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)))
(+ (log (/ -1 b_2)) (* -1 (log (/ -1 a))))
(+ (log (/ -1 b_2)) (* -1 (log (/ -1 a))))
(+ (log (/ -1 b_2)) (* -1 (log (/ -1 a))))
(+ (log (/ -1 b_2)) (* -1 (log (/ -1 a))))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 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))))
(* -2 (/ b_2 c))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) c)
(/ (+ (* -2 b_2) (* c (- (* -1 (* c (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3)))))) (* -1/2 (/ a b_2))))) c)
(/ (+ (* -2 b_2) (* c (- (* c (- (* -1 (* c (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) a)) (+ (* -1/4 (/ (* a (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow a 3) (pow b_2 5))))))) (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3)))))) (* -1/2 (/ a b_2))))) c)
(* -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)))))))))
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))))))))
(* -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))))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -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))))
(* -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)))))))))
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))))))))
(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))
(* -1/2 (/ 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))))
(* -1/2 (/ (* (pow a 2) c) b_2))
(* c (+ (* -1/2 (/ (pow a 2) b_2)) (* -1/8 (/ (* (pow a 3) c) (pow b_2 3)))))
(* c (+ (* -1/2 (/ (pow a 2) b_2)) (* c (+ (* -1/8 (/ (pow a 3) (pow b_2 3))) (* -1/16 (/ (* (pow a 4) c) (pow b_2 5)))))))
(* c (+ (* -1/2 (/ (pow a 2) b_2)) (* c (+ (* -1/8 (/ (pow a 3) (pow b_2 3))) (* c (+ (* -1/2 (/ (* a (* 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 4) (pow b_2 5)))))))))
(* a b_2)
(+ (* -1/2 (/ (* (pow a 2) c) b_2)) (* a b_2))
(+ (* a b_2) (* c (+ (* -1/2 (/ (pow a 2) b_2)) (* -1/8 (/ (* (pow a 3) c) (pow b_2 3))))))
(+ (* a b_2) (* c (+ (* -1/2 (/ (pow a 2) b_2)) (* c (+ (* -1/8 (/ (pow a 3) (pow b_2 3))) (* -1/16 (/ (* (pow a 4) c) (pow b_2 5))))))))
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))))))))
(* -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))))))
(* (sqrt (/ a c)) (/ 1 (sqrt -1)))
(/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (/ b_2 (pow (sqrt -1) 2))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (pow (sqrt -1) 2)))) c)
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b_2 3) (pow c 2)) (* a (pow (sqrt -1) 4)))) (* (sqrt (/ c a)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1 (/ b_2 (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3))))))) c)
(* (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)))
(* (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))))))
(* (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))))))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c 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))))))
(* (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)))
(* (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 (* a c))
(* c (+ (* -1 a) (/ (pow b_2 2) c)))
(* c (+ (* -1 a) (/ (pow b_2 2) c)))
(* c (+ (* -1 a) (/ (pow b_2 2) c)))
(* (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))))))
(* (sqrt (* (pow a 3) c)) (sqrt -1))
(* c (+ (* -1 (/ (* a b_2) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1))))
(* c (- (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (/ (* a b_2) c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))) (/ (* a b_2) c)))
(* (sqrt (* (pow a 3) c)) (sqrt -1))
(* c (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1))))))
(* (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))))))
(* (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)))))
(* -1 (* (sqrt (/ a c)) (sqrt -1)))
(* -1 (/ (+ b_2 (* (sqrt (* a c)) (sqrt -1))) c))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) (* b_2 c)) c)) (* (sqrt (* a c)) (sqrt -1))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* (pow b_2 3) c) a)) (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1))))))))) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))))) c)) (* b_2 c)) c)) (* (sqrt (* a c)) (sqrt -1))) 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)))))
(* -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 (* (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)))))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -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)))))
(* -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)))))
(* -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))
(* -1 (* c (+ a (* -1 (/ (pow b_2 2) c)))))
(* -1 (* c (+ a (* -1 (/ (pow b_2 2) c)))))
(* -1 (* c (+ a (* -1 (/ (pow b_2 2) c)))))
(* -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)))))
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ (pow a 3) c)) (sqrt -1)) (/ (* a b_2) c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* a b_2)) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (* a c)) (* (pow b_2 2) (sqrt -1))))) c)) (* a b_2)) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) 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 (* (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 (/ 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)))
(* (sqrt (/ a c)) (/ 1 (sqrt -1)))
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -1))) (/ b_2 (* c (pow (sqrt -1) 2))))
(+ (* b_2 (+ (* -1 (* b_2 (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* c (pow (sqrt -1) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -1))))
(+ (* b_2 (+ (* b_2 (- (* -1 (* b_2 (+ (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -1) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* c (pow (sqrt -1) 2))))) (* (sqrt (/ a c)) (/ 1 (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)))
(* (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)))))))))
(* (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 b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(/ -1/2 b_2)
(/ -1/2 b_2)
(/ -1/2 b_2)
(/ -1/2 b_2)
(* (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)))
(* (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)))
(* (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)))))))))
(* -1 (* a c))
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(* (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)))
(* (sqrt (* (pow a 3) c)) (sqrt -1))
(+ (* -1 (* a b_2)) (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ a c)) (/ b_2 (sqrt -1)))) a)) (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))))) a)) (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(* (sqrt (* (pow a 3) c)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(+ (* (sqrt (* (pow a 3) c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* (pow a 3) c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
(* (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 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(* -1 (+ (log a) (* -1 (log b_2))))
(* -1 (+ (log a) (* -1 (log b_2))))
(* -1 (+ (log a) (* -1 (log b_2))))
(* -1 (+ (log a) (* -1 (log b_2))))
(* (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)))
(+ (log a) (* -1 (log b_2)))
(+ (log a) (* -1 (log b_2)))
(+ (log a) (* -1 (log b_2)))
(+ (log a) (* -1 (log b_2)))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -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 c))
(* b_2 (- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c))))
(* b_2 (- (* -1 (/ (+ (* -1/4 (* (pow a 2) c)) (* 1/8 (* (pow a 2) c))) (pow b_2 4))) (+ (* -1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))))
(* b_2 (- (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (+ (* -1/4 (* a (* c (+ (* -1/4 (* (pow a 2) c)) (* 1/8 (* (pow a 2) c)))))) (* 1/16 (* (pow a 3) (pow c 2))))) (pow b_2 6))) (+ (* -1/2 (/ a (pow b_2 2))) (+ (* -1/4 (/ (* (pow a 2) c) (pow b_2 4))) (+ (* 1/8 (/ (* (pow a 2) c) (pow b_2 4))) (* 2 (/ 1 c)))))))
(* -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)
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)))))))
(* -1/2 (/ 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)
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(/ -1/2 b_2)
(/ -1/2 b_2)
(/ -1/2 b_2)
(/ -1/2 b_2)
(* -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)
(* -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)
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)))))))
(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)))))
(* -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)
(* -1/2 (/ (* (pow a 2) c) b_2))
(/ (+ (* -1/2 (* (pow a 2) c)) (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 (* (pow a 2) c)) (+ (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 (* (pow a 2) c)) (+ (* -1/2 (/ (* a (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4))))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 4)))))) b_2)
(* a b_2)
(* b_2 (+ a (* -1/2 (/ (* (pow a 2) c) (pow b_2 2)))))
(* b_2 (+ a (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))))))
(* b_2 (+ a (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 6)))))))
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)))))))
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(* -1 (+ (log a) (log (/ 1 b_2))))
(* -1 (+ (log a) (log (/ 1 b_2))))
(* -1 (+ (log a) (log (/ 1 b_2))))
(* -1 (+ (log a) (log (/ 1 b_2))))
(* -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)
(+ (log a) (log (/ 1 b_2)))
(+ (log a) (log (/ 1 b_2)))
(+ (log a) (log (/ 1 b_2)))
(+ (log a) (log (/ 1 b_2)))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -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 (/ a b_2))
(* -1 (/ (+ (* 1/8 (/ (* (pow a 2) c) (pow b_2 2))) (* 1/2 a)) b_2))
(* -1 (/ (- (+ (* 1/16 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 1/2 a)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 2)))) b_2))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/32 (* (pow a 4) (pow c 3))) (* -1/128 (* (pow a 4) (pow c 3)))) (pow b_2 6))) (* 1/2 a)) (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (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))) (* -1/8 (/ (* (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 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))))))))
(* -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))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(/ -1/2 b_2)
(/ -1/2 b_2)
(/ -1/2 b_2)
(/ -1/2 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)))))))
(* -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 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))))))))
(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)))))
(* -1 (/ (* b_2 (- a (* -1 a))) (pow a 2)))
(* -1 (* b_2 (- (+ (* -1/2 (/ c (pow b_2 2))) (/ 1 a)) (/ -1 a))))
(* -1 (* b_2 (- (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (/ 1 a))) (/ -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))) (/ 1 a)))) (/ -1 a))))
(* -1 (* b_2 (- a (* -1 a))))
(* -1 (* b_2 (- (+ a (* -1/2 (/ (* (pow a 2) c) (pow b_2 2)))) (* -1 a))))
(* -1 (* b_2 (- (+ a (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))))) (* -1 a))))
(* -1 (* b_2 (- (+ a (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 6)))))) (* -1 a))))
(* -1 (* a b_2))
(* -1 (* b_2 (+ a (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))))))
(* -1 (* b_2 (+ a (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ a (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 4) (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 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(* -1 (+ (log (* -1 a)) (log (/ -1 b_2))))
(* -1 (+ (log (* -1 a)) (log (/ -1 b_2))))
(* -1 (+ (log (* -1 a)) (log (/ -1 b_2))))
(* -1 (+ (log (* -1 a)) (log (/ -1 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)))))))
(+ (log (* -1 a)) (log (/ -1 b_2)))
(+ (log (* -1 a)) (log (/ -1 b_2)))
(+ (log (* -1 a)) (log (/ -1 b_2)))
(+ (log (* -1 a)) (log (/ -1 b_2)))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
Outputs
(* -1/2 (/ c b_2))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(+ (* -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 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(+ (* -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 (fma.f64 (fma.f64 (*.f64 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)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(* -2 (/ b_2 c))
(*.f64 (/.f64 b_2 c) #s(literal -2 binary64))
(+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))
(fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 c) #s(literal -2 binary64)))
(+ (* -2 (/ b_2 c)) (* a (+ (* -1 (* a (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3)))))) (* 1/2 (/ 1 b_2)))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 c (pow.f64 b_2 #s(literal 3 binary64)))) a (/.f64 #s(literal 1/2 binary64) b_2)) a (*.f64 (/.f64 b_2 c) #s(literal -2 binary64)))
(+ (* -2 (/ b_2 c)) (* a (+ (* a (- (* -1 (* a (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) (pow c 2))) (+ (* -1/4 (/ (* c (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow c 2) (pow b_2 5))))))) (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3)))))) (* 1/2 (/ 1 b_2)))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 #s(literal -2 binary64) c) (/.f64 (*.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) c) (fma.f64 (/.f64 #s(literal -1/4 binary64) b_2) (/.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64)) c) b_2) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 5 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 c (pow.f64 b_2 #s(literal 3 binary64))))) a (/.f64 #s(literal 1/2 binary64) b_2)) a (*.f64 (/.f64 b_2 c) #s(literal -2 binary64)))
(* -1/2 (/ (* a c) b_2))
(*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a)
(* 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 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a)
(* 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 (fma.f64 (fma.f64 (fma.f64 (*.f64 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)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a)
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(fma.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64) b_2)
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a 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 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a b_2)
(* -1/2 (/ c b_2))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(+ (* -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 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(+ (* -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 (fma.f64 (fma.f64 (*.f64 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)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(* -1/2 (/ c b_2))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(+ (* -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 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(+ (* -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 (fma.f64 (fma.f64 (*.f64 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)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(* -1/2 (/ (* a c) b_2))
(*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a)
(* 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 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a)
(* 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 (fma.f64 (fma.f64 (fma.f64 (*.f64 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)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a)
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(fma.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64) b_2)
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a 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 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a b_2)
(pow b_2 2)
(*.f64 b_2 b_2)
(+ (* -1 (* a c)) (pow b_2 2))
(fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))
(+ (* -1 (* a c)) (pow b_2 2))
(fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))
(+ (* -1 (* a c)) (pow b_2 2))
(fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))
(* -1/2 (/ c b_2))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(+ (* -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 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(+ (* -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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b_2
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(* -1/2 (/ c b_2))
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(* -2 (/ b_2 c))
(*.f64 (/.f64 b_2 c) #s(literal -2 binary64))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) c)
(/.f64 (fma.f64 (*.f64 a (/.f64 c b_2)) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) b_2)) c)
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(* -1/2 (/ (* a c) b_2))
(*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))
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(* 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 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b_2 #s(literal 5 binary64)))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (pow.f64 b_2 #s(literal 3 binary64)))) c (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) c)
(* 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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b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(fma.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64) b_2)
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b_2 #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) c 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 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b_2 #s(literal 5 binary64)))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (pow.f64 b_2 #s(literal 3 binary64)))) c (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) c b_2)
(* -1/2 (/ c b_2))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(*.f64 (fma.f64 (*.f64 a (/.f64 c (pow.f64 b_2 #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) b_2)) c)
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(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b_2 #s(literal 5 binary64)))) #s(literal -1/16 binary64) (*.f64 (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b_2)) c)
(* 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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(* -1/2 (/ c b_2))
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(* -1/2 (/ c b_2))
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(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b_2 #s(literal 5 binary64)))) #s(literal -1/16 binary64) (*.f64 (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b_2)) c)
(* 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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(* -1/2 (/ (* a c) b_2))
(*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))
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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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b_2
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(pow b_2 2)
(*.f64 b_2 b_2)
(+ (* -1 (* a c)) (pow b_2 2))
(fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))
(+ (* -1 (* a c)) (pow b_2 2))
(fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))
(+ (* -1 (* a c)) (pow b_2 2))
(fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))
(* -1/2 (/ c b_2))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
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(*.f64 (fma.f64 (*.f64 a (/.f64 c (pow.f64 b_2 #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) b_2)) c)
(* 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 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b_2 #s(literal 5 binary64)))) #s(literal -1/16 binary64) (*.f64 (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b_2)) c)
(* 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 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #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 a a)) (pow.f64 b_2 #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b_2)) c)
(* -1/2 (/ (* (pow a 2) c) b_2))
(*.f64 (/.f64 (*.f64 (*.f64 a a) c) b_2) #s(literal -1/2 binary64))
(* c (+ (* -1/2 (/ (pow a 2) b_2)) (* -1/8 (/ (* (pow a 3) c) (pow b_2 3)))))
(*.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b_2 #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 a a) b_2) #s(literal -1/2 binary64))) c)
(* c (+ (* -1/2 (/ (pow a 2) b_2)) (* c (+ (* -1/8 (/ (pow a 3) (pow b_2 3))) (* -1/16 (/ (* (pow a 4) c) (pow b_2 5)))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (/.f64 c (pow.f64 b_2 #s(literal 5 binary64)))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 3 binary64)))) c (*.f64 (/.f64 (*.f64 a a) b_2) #s(literal -1/2 binary64))) c)
(* c (+ (* -1/2 (/ (pow a 2) b_2)) (* c (+ (* -1/8 (/ (pow a 3) (pow b_2 3))) (* c (+ (* -1/2 (/ (* a (* 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 4) (pow b_2 5)))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64))) b_2) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 b_2 #s(literal 5 binary64)))) c (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 3 binary64)))) c (*.f64 (/.f64 (*.f64 a a) b_2) #s(literal -1/2 binary64))) c)
(* a b_2)
(*.f64 a b_2)
(+ (* -1/2 (/ (* (pow a 2) c) b_2)) (* a b_2))
(fma.f64 (/.f64 (*.f64 (*.f64 a a) c) b_2) #s(literal -1/2 binary64) (*.f64 a b_2))
(+ (* a b_2) (* c (+ (* -1/2 (/ (pow a 2) b_2)) (* -1/8 (/ (* (pow a 3) c) (pow b_2 3))))))
(fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b_2 #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 a a) b_2) #s(literal -1/2 binary64))) c (*.f64 a b_2))
(+ (* a b_2) (* c (+ (* -1/2 (/ (pow a 2) b_2)) (* c (+ (* -1/8 (/ (pow a 3) (pow b_2 3))) (* -1/16 (/ (* (pow a 4) c) (pow b_2 5))))))))
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b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(fma.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64) b_2)
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
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(+ 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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(* -1/2 (/ c b_2))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 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))) (+ (* -1/8 (* (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))))))
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(* (sqrt (/ a c)) (/ 1 (sqrt -1)))
(/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (/ b_2 (pow (sqrt -1) 2))) c)
(/.f64 (-.f64 (/.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 #s(literal 1 binary64))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (pow (sqrt -1) 2)))) c)
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(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b_2 3) (pow c 2)) (* a (pow (sqrt -1) 4)))) (* (sqrt (/ c a)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1 (/ b_2 (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3))))))) c)
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(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (neg.f64 b_2) c)) c)
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (neg.f64 b_2) c))) 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)))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (neg.f64 b_2) c)))) c)
(* (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 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) 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 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))) 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 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (/.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 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))))) c)
(* (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))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (neg.f64 b_2) (*.f64 a c))) 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)))))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64)))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (neg.f64 b_2) (*.f64 a c)))) c)
(* 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))))))
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(* -1/2 (/ c b_2))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(* -1/2 (/ c b_2))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(* -1/2 (/ c b_2))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(* -1/2 (/ c b_2))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(* (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))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (neg.f64 b_2) (*.f64 a c))) 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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(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
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(* (sqrt (* a c)) (sqrt -1))
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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)))))
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(/.f64 #s(literal -1/2 binary64) 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 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)) (neg.f64 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 (fma.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 c b_2) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 2 binary64) a))) (neg.f64 b_2))
(* -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 (fma.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 c b_2) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 2 binary64) a)))) (neg.f64 b_2))
(* -2 b_2)
(*.f64 #s(literal -2 binary64) b_2)
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(*.f64 (fma.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) (/.f64 c b_2) #s(literal 2 binary64)) (neg.f64 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 (*.f64 a a) (*.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) (/.f64 c b_2) #s(literal 2 binary64))) (neg.f64 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 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) (/.f64 c b_2) #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1/16 binary64))) (neg.f64 b_2))
(* -1 b_2)
(neg.f64 b_2)
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(*.f64 (fma.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) (/.f64 c b_2) #s(literal 1 binary64)) (neg.f64 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 (*.f64 a a) (*.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) (/.f64 c b_2) #s(literal 1 binary64))) (neg.f64 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))))))))
(neg.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) (*.f64 a (/.f64 c b_2))))) 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 (fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) #s(literal 1 binary64)) (*.f64 b_2 b_2))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(*.f64 (fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) #s(literal 1 binary64)) (*.f64 b_2 b_2))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(*.f64 (fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) #s(literal 1 binary64)) (*.f64 b_2 b_2))
(* -1 (/ (* b_2 (- a (* -1 a))) (pow a 2)))
(*.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (*.f64 #s(literal 2 binary64) a) a))
(* -1 (* b_2 (- (+ (* -1/2 (/ c (pow b_2 2))) (/ 1 a)) (/ -1 a))))
(*.f64 (-.f64 (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal -1 binary64) a)) (neg.f64 b_2))
(* -1 (* b_2 (- (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (/ 1 a))) (/ -1 a))))
(*.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 c b_2) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) a))) (/.f64 #s(literal -1 binary64) a)) (neg.f64 b_2))
(* -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))) (/ 1 a)))) (/ -1 a))))
(*.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 c b_2) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) a)))) (/.f64 #s(literal -1 binary64) a)) (neg.f64 b_2))
(* -1 (* b_2 (- a (* -1 a))))
(*.f64 (*.f64 #s(literal 2 binary64) a) (neg.f64 b_2))
(* -1 (* b_2 (- (+ a (* -1/2 (/ (* (pow a 2) c) (pow b_2 2)))) (* -1 a))))
(*.f64 (+.f64 (fma.f64 (*.f64 (/.f64 (*.f64 a a) b_2) #s(literal -1/2 binary64)) (/.f64 c b_2) a) a) (neg.f64 b_2))
(* -1 (* b_2 (- (+ a (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))))) (* -1 a))))
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 a a) b_2) #s(literal -1/2 binary64)) (/.f64 c b_2) a)) a) (neg.f64 b_2))
(* -1 (* b_2 (- (+ a (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 6)))))) (* -1 a))))
(*.f64 (+.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 a a) b_2) #s(literal -1/2 binary64)) (/.f64 c b_2) a)) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1/16 binary64))) a) (neg.f64 b_2))
(* -1 (* a b_2))
(*.f64 (neg.f64 a) b_2)
(* -1 (* b_2 (+ a (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))))))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 a a) b_2) #s(literal -1/2 binary64)) (/.f64 c b_2) a) (neg.f64 b_2))
(* -1 (* b_2 (+ a (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4)))))))
(*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 a a) b_2) #s(literal -1/2 binary64)) (/.f64 c b_2) a)) (neg.f64 b_2))
(* -1 (* b_2 (+ a (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 6))))))))
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 a a) b_2) #s(literal -1/2 binary64)) (/.f64 c b_2) a)) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1/16 binary64))) (neg.f64 b_2))
(* -1 b_2)
(neg.f64 b_2)
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(*.f64 (fma.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) (/.f64 c b_2) #s(literal 1 binary64)) (neg.f64 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 (*.f64 a a) (*.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) (/.f64 c b_2) #s(literal 1 binary64))) (neg.f64 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))))))))
(neg.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) (*.f64 a (/.f64 c b_2))))) b_2 b_2))
(/ b_2 a)
(/.f64 b_2 a)
(/ b_2 a)
(/.f64 b_2 a)
(/ b_2 a)
(/.f64 b_2 a)
(/ b_2 a)
(/.f64 b_2 a)
(* -1 (+ (log (* -1 a)) (log (/ -1 b_2))))
(neg.f64 (+.f64 (log.f64 (neg.f64 a)) (log.f64 (/.f64 #s(literal -1 binary64) b_2))))
(* -1 (+ (log (* -1 a)) (log (/ -1 b_2))))
(neg.f64 (+.f64 (log.f64 (neg.f64 a)) (log.f64 (/.f64 #s(literal -1 binary64) b_2))))
(* -1 (+ (log (* -1 a)) (log (/ -1 b_2))))
(neg.f64 (+.f64 (log.f64 (neg.f64 a)) (log.f64 (/.f64 #s(literal -1 binary64) b_2))))
(* -1 (+ (log (* -1 a)) (log (/ -1 b_2))))
(neg.f64 (+.f64 (log.f64 (neg.f64 a)) (log.f64 (/.f64 #s(literal -1 binary64) 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 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)) (neg.f64 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 (fma.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 c b_2) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 2 binary64) a))) (neg.f64 b_2))
(* -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 (fma.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 c b_2) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 2 binary64) a)))) (neg.f64 b_2))
(+ (log (* -1 a)) (log (/ -1 b_2)))
(+.f64 (log.f64 (neg.f64 a)) (log.f64 (/.f64 #s(literal -1 binary64) b_2)))
(+ (log (* -1 a)) (log (/ -1 b_2)))
(+.f64 (log.f64 (neg.f64 a)) (log.f64 (/.f64 #s(literal -1 binary64) b_2)))
(+ (log (* -1 a)) (log (/ -1 b_2)))
(+.f64 (log.f64 (neg.f64 a)) (log.f64 (/.f64 #s(literal -1 binary64) b_2)))
(+ (log (* -1 a)) (log (/ -1 b_2)))
(+.f64 (log.f64 (neg.f64 a)) (log.f64 (/.f64 #s(literal -1 binary64) b_2)))
(* -2 (/ b_2 a))
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(* -2 (/ b_2 a))
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(* -2 (/ b_2 a))
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(* -2 (/ b_2 a))
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))

rewrite299.0ms (3.3%)

Memory
-16.8MiB live, 428.6MiB allocated
Rules
4 186×lower-fma.f32
4 182×lower-fma.f64
4 080×lower-/.f32
4 068×lower-/.f64
3 658×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
045227
072211
1255202
21559201
08650201
Stop Event
iter limit
node limit
iter limit
Counts
20 → 1 080
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2)))
(/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2))
(-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2)
(sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
(/.f64 #s(literal -1/2 binary64) b_2)
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c))) b_2) a)
(-.f64 (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c))) b_2)
(sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c)))
#s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a) (*.f64 a b_2)) (*.f64 a a))
(-.f64 (*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a) (*.f64 a b_2))
(*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a)
(sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2)))
(exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64)))
(*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64)))))
(log.f64 (/.f64 a b_2))
(*.f64 #s(literal -2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64))))
Outputs
(*.f64 (/.f64 (*.f64 a (+.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) b_2)) (*.f64 a a)) (/.f64 (*.f64 a (-.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) b_2)) (*.f64 a (+.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) b_2))))
(*.f64 (/.f64 (fma.f64 (*.f64 a a) (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2)) (*.f64 (*.f64 b_2 a) (*.f64 a (+.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) b_2)))) (*.f64 a a)) (/.f64 (*.f64 a (-.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) b_2)) (fma.f64 (*.f64 a a) (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2)) (*.f64 (*.f64 b_2 a) (*.f64 a (+.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) b_2))))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 a a) (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) (pow.f64 (*.f64 b_2 a) #s(literal 2 binary64))) a) (/.f64 (pow.f64 a #s(literal -2 binary64)) (+.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) b_2)))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 a a) (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) (pow.f64 (*.f64 b_2 a) #s(literal 2 binary64))) a) (/.f64 (pow.f64 (*.f64 a (+.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) b_2)) #s(literal -1 binary64)) a))
(*.f64 (/.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 b_2 a) #s(literal 3 binary64))) a) (/.f64 (pow.f64 (fma.f64 (*.f64 a a) (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2)) (*.f64 (*.f64 b_2 a) (*.f64 a (+.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) b_2)))) #s(literal -1 binary64)) a))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) b_2) a) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) b_2) (+.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) b_2)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2)) (*.f64 b_2 b_2)) #s(literal -1 binary64))) (/.f64 (pow.f64 a #s(literal -1 binary64)) (+.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) b_2)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) #s(literal -1 binary64))) (/.f64 (pow.f64 a #s(literal -1 binary64)) (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 (pow.f64 a #s(literal -1 binary64)) (fma.f64 b_2 (+.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) b_2) (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2)))))
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(/.f64 (-.f64 (pow.f64 (log.f64 a) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 b_2)) (neg.f64 (log.f64 b_2)))) (-.f64 (log.f64 a) (neg.f64 (log.f64 b_2))))
(/.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 a)) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 b_2)) #s(literal 3 binary64))) (fma.f64 (log.f64 (neg.f64 a)) (log.f64 (neg.f64 a)) (fma.f64 (log.f64 (neg.f64 b_2)) (log.f64 (neg.f64 b_2)) (*.f64 (log.f64 (neg.f64 a)) (log.f64 (neg.f64 b_2))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 b_2 a)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (log.f64 (/.f64 b_2 a)) (log.f64 (/.f64 b_2 a)) (*.f64 #s(literal 0 binary64) (log.f64 (/.f64 b_2 a))))))
(/.f64 (+.f64 (pow.f64 (log.f64 a) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 b_2)) #s(literal 3 binary64))) (fma.f64 (log.f64 a) (log.f64 a) (-.f64 (*.f64 (neg.f64 (log.f64 b_2)) (neg.f64 (log.f64 b_2))) (*.f64 (log.f64 a) (neg.f64 (log.f64 b_2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 a) #s(literal 2 binary64)) (pow.f64 (log.f64 b_2) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 b_2 a))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 a) #s(literal 3 binary64)) (pow.f64 (log.f64 b_2) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 a) (log.f64 a) (fma.f64 (log.f64 b_2) (log.f64 b_2) (*.f64 (log.f64 a) (log.f64 b_2))))))
(/.f64 (-.f64 (pow.f64 (log.f64 a) #s(literal 2 binary64)) (pow.f64 (log.f64 b_2) #s(literal 2 binary64))) (log.f64 (*.f64 b_2 a)))
(/.f64 (-.f64 (pow.f64 (log.f64 a) #s(literal 3 binary64)) (pow.f64 (log.f64 b_2) #s(literal 3 binary64))) (fma.f64 (log.f64 a) (log.f64 a) (fma.f64 (log.f64 b_2) (log.f64 b_2) (*.f64 (log.f64 a) (log.f64 b_2)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 b_2 a)) (-.f64 (pow.f64 (log.f64 a) #s(literal 2 binary64)) (pow.f64 (log.f64 b_2) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 a) (log.f64 a) (fma.f64 (log.f64 b_2) (log.f64 b_2) (*.f64 (log.f64 a) (log.f64 b_2)))) (-.f64 (pow.f64 (log.f64 a) #s(literal 3 binary64)) (pow.f64 (log.f64 b_2) #s(literal 3 binary64)))))
(neg.f64 (log.f64 (/.f64 b_2 a)))
(fma.f64 #s(literal -1 binary64) (log.f64 b_2) (log.f64 a))
(-.f64 (/.f64 (pow.f64 (log.f64 a) #s(literal 2 binary64)) (log.f64 (*.f64 b_2 a))) (/.f64 (pow.f64 (log.f64 b_2) #s(literal 2 binary64)) (log.f64 (*.f64 b_2 a))))
(-.f64 (/.f64 (pow.f64 (log.f64 a) #s(literal 3 binary64)) (fma.f64 (log.f64 a) (log.f64 a) (fma.f64 (log.f64 b_2) (log.f64 b_2) (*.f64 (log.f64 a) (log.f64 b_2))))) (/.f64 (pow.f64 (log.f64 b_2) #s(literal 3 binary64)) (fma.f64 (log.f64 a) (log.f64 a) (fma.f64 (log.f64 b_2) (log.f64 b_2) (*.f64 (log.f64 a) (log.f64 b_2))))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 b_2 a))))
(-.f64 (log.f64 (neg.f64 a)) (log.f64 (neg.f64 b_2)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 b_2 a)))
(-.f64 (log.f64 a) (log.f64 b_2))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (neg.f64 a) b_2)))
(+.f64 (neg.f64 (log.f64 b_2)) (log.f64 a))
(+.f64 (log.f64 (neg.f64 a)) (neg.f64 (log.f64 (neg.f64 b_2))))
(+.f64 (log.f64 (neg.f64 a)) (log.f64 (/.f64 #s(literal -1 binary64) b_2)))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 a b_2)))
(+.f64 (log.f64 a) (neg.f64 (log.f64 b_2)))
(log.f64 (/.f64 a b_2))
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(/.f64 #s(literal -2 binary64) (/.f64 a b_2))

eval217.0ms (2.4%)

Memory
27.0MiB live, 385.8MiB allocated
Compiler

Compiled 47 770 to 4 323 computations (91% saved)

prune225.0ms (2.5%)

Memory
-7.6MiB live, 420.4MiB allocated
Pruning

36 alts after pruning (29 fresh and 7 done)

PrunedKeptTotal
New1 691161 707
Fresh71320
Picked325
Done055
Total1 701361 737
Accuracy
90.9%
Counts
1 737 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.2%
(/.f64 (fma.f64 (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 c (neg.f64 a)))) a (*.f64 (neg.f64 b_2) a)) (*.f64 a a))
37.1%
(/.f64 (/.f64 (-.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 c (neg.f64 a))) (*.f64 b_2 b_2)) a) (+.f64 (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 c (neg.f64 a)))) b_2))
33.4%
(/.f64 (-.f64 (/.f64 (-.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 c (neg.f64 a))) #s(literal 0 binary64)) (-.f64 (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 c (neg.f64 a)))) #s(literal 0 binary64))) b_2) a)
57.1%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2) a)
38.0%
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c))) b_2) a)
32.3%
(/.f64 (-.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 c (neg.f64 a))) (*.f64 b_2 b_2)) (*.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 c (neg.f64 a)))) b_2) a))
23.5%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c)) a)
23.5%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a)
37.9%
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 c (neg.f64 a)))) b_2)))
23.5%
(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c))))
32.5%
(/.f64 #s(literal 1 binary64) #s(approx (/ a (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2)) (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 c) #s(literal -2 binary64)))))
32.5%
(/.f64 #s(literal 1 binary64) #s(approx (/ a (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2)) (/.f64 (fma.f64 (*.f64 a (/.f64 c b_2)) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) b_2)) c)))
31.7%
(/.f64 #s(literal 1 binary64) #s(approx (/ a (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2)) (*.f64 (fma.f64 (/.f64 a (*.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) c)) b_2)))
37.9%
(*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 c (neg.f64 a)))) b_2) (/.f64 #s(literal -1 binary64) a))
31.5%
(*.f64 (-.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 c (neg.f64 a))) (*.f64 b_2 b_2)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 c (neg.f64 a)))) b_2) a)))
8.3%
(exp.f64 (*.f64 (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c)))) #s(literal -1 binary64)))
12.6%
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (/.f64 (*.f64 (fma.f64 (pow.f64 a #s(literal -3 binary64)) #s(literal 8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 c b_2) b_2)) #s(literal 3 binary64))) (neg.f64 b_2)) (fma.f64 (pow.f64 (*.f64 b_2 (/.f64 b_2 c)) #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 2 binary64) a) (-.f64 (/.f64 #s(literal 2 binary64) a) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 c b_2) b_2)))))))
10.6%
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
33.3%
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
34.4%
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (*.f64 (neg.f64 b_2) #s(approx (+ (* (/ c (* b_2 b_2)) 1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a))))
12.8%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 b_2) #s(literal -1/2 binary64)) (/.f64 (/.f64 c b_2) b_2)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (neg.f64 b_2) #s(literal -1/2 binary64)) (/.f64 (/.f64 c b_2) b_2)) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))))
32.1%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
34.4%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -2 binary64) (/.f64 a b_2)))
32.3%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
32.3%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
10.6%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) #s(approx (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (*.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64)))))
17.9%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64))) #s(literal -1/2 binary64)))
14.9%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 a b_2)))))
14.0%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 a))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 b_2))))))
22.1%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 b_2 a) (*.f64 a a))))
34.5%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
14.0%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (exp.f64 (-.f64 (log.f64 (neg.f64 b_2)) (log.f64 (neg.f64 a))))))
13.9%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (exp.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 a)) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 b_2)) #s(literal 3 binary64))) (fma.f64 (log.f64 (neg.f64 a)) (log.f64 (neg.f64 a)) (fma.f64 (log.f64 (neg.f64 b_2)) (log.f64 (neg.f64 b_2)) (*.f64 (log.f64 (neg.f64 a)) (log.f64 (neg.f64 b_2)))))) #s(literal -1 binary64)))))
15.1%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (exp.f64 (log.f64 (/.f64 b_2 a)))))
34.5%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))))
34.3%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 c b_2) (/.f64 #s(literal -2 binary64) a)) b_2)))
Compiler

Compiled 1 515 to 721 computations (52.4% saved)

regimes73.0ms (0.8%)

Memory
-22.7MiB live, 94.0MiB allocated
Counts
61 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal 2 binary64) a) (neg.f64 b_2)))
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (*.f64 (neg.f64 b_2) #s(approx (+ (* (/ c (* b_2 b_2)) 1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -2 binary64) (/.f64 a b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 b_2 a) (*.f64 a a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) #s(approx (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (*.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c))) b_2) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) a) c) b_2)) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c)) a)
(*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 c (neg.f64 a)))) b_2) (/.f64 #s(literal -1 binary64) a))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 c (neg.f64 a)))) b_2)))
(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 c b_2) (/.f64 #s(literal -2 binary64) a)) b_2)))
(/.f64 #s(literal 1 binary64) #s(approx (/ a (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2)) (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 c) #s(literal -2 binary64)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
(/.f64 (fma.f64 (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 c (neg.f64 a)))) a (*.f64 (neg.f64 b_2) a)) (*.f64 a a))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2)))
#s(approx (/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b_2)) b_2) #s(literal -1/8 binary64) #s(literal -1/2 binary64)) b_2) c))
(/.f64 #s(literal 1 binary64) #s(approx (/ a (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2)) (*.f64 (fma.f64 (/.f64 a (*.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) c)) b_2)))
(/.f64 #s(literal 1 binary64) #s(approx (/ a (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2)) (/.f64 (fma.f64 (*.f64 a (/.f64 c b_2)) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) b_2)) c)))
(/.f64 (-.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 c (neg.f64 a))) (*.f64 b_2 b_2)) (*.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 c (neg.f64 a)))) b_2) a))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) a) (*.f64 a b_2)) (*.f64 a a))
(/.f64 (-.f64 (/.f64 (-.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 c (neg.f64 a))) #s(literal 0 binary64)) (-.f64 (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 c (neg.f64 a)))) #s(literal 0 binary64))) b_2) a)
(*.f64 (-.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 c (neg.f64 a))) (*.f64 b_2 b_2)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 c (neg.f64 a)))) b_2) a)))
(/.f64 (/.f64 (-.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 c (neg.f64 a))) (*.f64 b_2 b_2)) a) (+.f64 (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 c (neg.f64 a)))) b_2))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) c) a) (*.f64 b_2 b_2)) b_2 (*.f64 b_2 #s(literal -1/2 binary64))) (*.f64 b_2 b_2)) c))
(/.f64 (-.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2)) (*.f64 b_2 b_2)) (*.f64 a (+.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) b_2)))
(/.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) (*.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))))))
(/.f64 (/.f64 (-.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2)) (*.f64 b_2 b_2)) (+.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) b_2)) a)
(/.f64 (/.f64 (-.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)) (*.f64 b_2 b_2)) (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) (neg.f64 b_2))) a)
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 a (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2)))) b_2)) (*.f64 (/.f64 a (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2)))) a))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (*.f64 c #s(literal -1/8 binary64)) (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b_2)) c))
(/.f64 (*.f64 (-.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2)) (*.f64 b_2 b_2)) (pow.f64 a #s(literal -1 binary64))) (+.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) b_2))
(/.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) (pow.f64 a #s(literal -1 binary64))) (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)))))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))))) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (exp.f64 (log.f64 (/.f64 b_2 a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64))) #s(literal -1/2 binary64)))
(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) a)
(exp.f64 (*.f64 (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a b_2)) c)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c)))) #s(literal -1 binary64)))
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (*.f64 (neg.f64 b_2) (fma.f64 (exp.f64 (*.f64 (log.f64 (*.f64 b_2 (/.f64 b_2 c))) #s(literal -1 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (exp.f64 (-.f64 (log.f64 (neg.f64 b_2)) (log.f64 (neg.f64 a))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 a b_2)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 b_2) #s(literal -1/2 binary64)) (/.f64 (/.f64 c b_2) b_2)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (neg.f64 b_2) #s(literal -1/2 binary64)) (/.f64 (/.f64 c b_2) b_2)) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))))) a)
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (/.f64 (*.f64 (fma.f64 (pow.f64 a #s(literal -3 binary64)) #s(literal 8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 c b_2) b_2)) #s(literal 3 binary64))) (neg.f64 b_2)) (fma.f64 (pow.f64 (*.f64 b_2 (/.f64 b_2 c)) #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 2 binary64) a) (-.f64 (/.f64 #s(literal 2 binary64) a) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 c b_2) b_2)))))))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))))) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 a))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 b_2))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (exp.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 a)) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 b_2)) #s(literal 3 binary64))) (fma.f64 (log.f64 (neg.f64 a)) (log.f64 (neg.f64 a)) (fma.f64 (log.f64 (neg.f64 b_2)) (log.f64 (neg.f64 b_2)) (*.f64 (log.f64 (neg.f64 a)) (log.f64 (neg.f64 b_2)))))) #s(literal -1 binary64)))))
Outputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
Calls

4 calls:

17.0ms
b_2
17.0ms
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
16.0ms
c
16.0ms
a
Results
AccuracySegmentsBranch
57.1%1a
85.4%3b_2
57.1%1c
74.0%5(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Compiler

Compiled 16 to 19 computations (-18.8% saved)

regimes6.0ms (0.1%)

Memory
12.4MiB live, 12.4MiB allocated
Counts
16 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal 2 binary64) a) (neg.f64 b_2)))
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (*.f64 (neg.f64 b_2) #s(approx (+ (* (/ c (* b_2 b_2)) 1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -2 binary64) (/.f64 a b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 b_2 a) (*.f64 a a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) #s(approx (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (*.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c))) b_2) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) a) c) b_2)) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
Outputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c))) b_2) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
Calls

1 calls:

5.0ms
b_2
Results
AccuracySegmentsBranch
82.5%3b_2
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes5.0ms (0.1%)

Memory
9.3MiB live, 9.3MiB allocated
Counts
14 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal 2 binary64) a) (neg.f64 b_2)))
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (*.f64 (neg.f64 b_2) #s(approx (+ (* (/ c (* b_2 b_2)) 1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -2 binary64) (/.f64 a b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 b_2 a) (*.f64 a a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) #s(approx (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (*.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c))) b_2) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) a) c) b_2)) a)
Outputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c))) b_2) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
Calls

1 calls:

5.0ms
b_2
Results
AccuracySegmentsBranch
82.3%3b_2
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes8.0ms (0.1%)

Memory
13.1MiB live, 13.1MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal 2 binary64) a) (neg.f64 b_2)))
#s(approx (/ (+ (neg b_2) (pow (pow (+ (* c a) (* b_2 b_2)) 2) 1/4)) a) (*.f64 (neg.f64 b_2) #s(approx (+ (* (/ c (* b_2 b_2)) 1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -2 binary64) (/.f64 a b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 b_2 a) (*.f64 a a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) #s(approx (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (*.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64)))))
Outputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
Calls

2 calls:

4.0ms
b_2
3.0ms
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Results
AccuracySegmentsBranch
47.0%3(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
64.4%2b_2
Compiler

Compiled 14 to 13 computations (7.1% saved)

regimes18.0ms (0.2%)

Memory
-36.0MiB live, 2.8MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
Outputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
Calls

1 calls:

17.0ms
b_2
Results
AccuracySegmentsBranch
64.3%2b_2
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0.1%)

Memory
12.4MiB live, 12.4MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
Outputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
Calls

4 calls:

1.0ms
b_2
1.0ms
a
1.0ms
c
1.0ms
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Results
AccuracySegmentsBranch
34.5%1(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
34.5%1a
34.5%1c
34.5%1b_2
Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch54.0ms (0.6%)

Memory
12.0MiB live, 50.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
predicate-same
Steps
TimeLeftRight
36.0ms
1.0588632972860714e-44
1.0403551655910478e-42
14.0ms
-5.6603149352759065e+140
-1.2890315908115053e+131
Samples
30.0ms183×0valid
4.0ms36×1valid
4.0ms21×2valid
2.0ms22×0invalid
Compiler

Compiled 334 to 318 computations (4.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-mult: 22.0ms (67.1% of total)
ival-div: 2.0ms (6.1% of total)
ival-add: 2.0ms (6.1% of total)
ival-sqrt: 2.0ms (6.1% of total)
ival-sub: 2.0ms (6.1% of total)
adjust: 1.0ms (3% of total)
ival-neg: 1.0ms (3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch19.0ms (0.2%)

Memory
-3.9MiB live, 33.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.0588632972860714e-44
1.0403551655910478e-42
17.0ms
-1.8486289025945753e-33
-2.3707684310310676e-35
Samples
7.0ms112×0valid
1.0ms17×0invalid
Compiler

Compiled 282 to 296 computations (-5% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 2.0ms (36.9% of total)
ival-sub: 1.0ms (18.5% of total)
ival-div: 1.0ms (18.5% of total)
ival-add: 1.0ms (18.5% of total)
ival-sqrt: 1.0ms (18.5% of total)
ival-neg: 1.0ms (18.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
3.3MiB live, 3.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.0588632972860714e-44
1.0403551655910478e-42
1.0ms
-1.8486289025945753e-33
-2.3707684310310676e-35
Compiler

Compiled 240 to 268 computations (-11.7% saved)

bsearch29.0ms (0.3%)

Memory
-4.2MiB live, 36.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
27.0ms
-2.1102588008713933e-296
8.388236322990937e-308
Samples
15.0ms160×0valid
4.0ms65×0invalid
Compiler

Compiled 136 to 176 computations (-29.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-add: 5.0ms (37.4% of total)
ival-mult: 3.0ms (22.5% of total)
ival-sub: 1.0ms (7.5% of total)
ival-div: 1.0ms (7.5% of total)
ival-sqrt: 1.0ms (7.5% of total)
ival-neg: 1.0ms (7.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-2.1102588008713933e-296
8.388236322990937e-308
Compiler

Compiled 136 to 176 computations (-29.4% saved)

simplify27.0ms (0.3%)

Memory
14.9MiB live, 51.5MiB allocated
Algorithm
egg-herbie
Rules
20×*-commutative-binary64-*.f64
12×+-commutative-binary64-+.f64
12×sub-neg-binary64-neg.f64-+.f64--.f64
neg-sub0-binary64--.f64-neg.f64
neg-mul-1-binary64-*.f64-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062329
176329
288329
397329
4101329
5102329
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 b_2 #s(literal -179999999999999997648281638178779207318720911535092107337157879673059220183671898267847846359099111468245780364736977809266578001366089728 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))) (if (<=.f64 b_2 #s(literal 2812141577453233/100433627766186892221372630771322662657637687111424552206336 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2) a) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -1730417938599789/46768052394588893382517914646921056628989841375232 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))) (if (<=.f64 b_2 #s(literal 2812141577453233/100433627766186892221372630771322662657637687111424552206336 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c))) b_2) a) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -1730417938599789/46768052394588893382517914646921056628989841375232 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a))) (if (<=.f64 b_2 #s(literal 2812141577453233/100433627766186892221372630771322662657637687111424552206336 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c))) b_2) a) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a))) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
(if (<=.f64 b_2 #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a))) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
Outputs
(if (<=.f64 b_2 #s(literal -179999999999999997648281638178779207318720911535092107337157879673059220183671898267847846359099111468245780364736977809266578001366089728 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))) (if (<=.f64 b_2 #s(literal 2812141577453233/100433627766186892221372630771322662657637687111424552206336 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2) a) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -179999999999999997648281638178779207318720911535092107337157879673059220183671898267847846359099111468245780364736977809266578001366089728 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))) (if (<=.f64 b_2 #s(literal 2812141577453233/100433627766186892221372630771322662657637687111424552206336 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2) a) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -1730417938599789/46768052394588893382517914646921056628989841375232 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))) (if (<=.f64 b_2 #s(literal 2812141577453233/100433627766186892221372630771322662657637687111424552206336 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c))) b_2) a) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -1730417938599789/46768052394588893382517914646921056628989841375232 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))) (if (<=.f64 b_2 #s(literal 2812141577453233/100433627766186892221372630771322662657637687111424552206336 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c))) b_2) a) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -1730417938599789/46768052394588893382517914646921056628989841375232 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a))) (if (<=.f64 b_2 #s(literal 2812141577453233/100433627766186892221372630771322662657637687111424552206336 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) c))) b_2) a) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a))) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
(if (<=.f64 b_2 #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a))) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))

soundness1.0s (11.5%)

Memory
-22.3MiB live, 590.4MiB allocated
Rules
17 320×lower-fma.f64
17 320×lower-fma.f32
11 022×lower-fma.f64
11 022×lower-fma.f32
8 610×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05083200
116063160
255233144
087873008
044294
073288
1291217
22205217
08535214
0134813420
1441712463
0842811958
071610349
1224710172
2738710124
084019691
01041
01741
16439
246338
3588838
0861134
048238
074232
1303230
22185230
09116229
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 432 to 204 computations (52.8% saved)

preprocess64.0ms (0.7%)

Memory
15.5MiB live, 94.0MiB allocated
Compiler

Compiled 488 to 162 computations (66.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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