quad2m (problem 3.2.1, negative)

Time bar (total: 12.3s)

analyze141.0ms (1.1%)

Memory
20.7MiB live, 175.9MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
37.5%37.4%62.4%0.1%0%0%0%5
37.5%37.4%62.4%0.1%0%0%0%6
42.6%40.6%54.6%0.1%0%4.7%0%7
51.2%48.4%46%0.1%0%5.5%0%8
54.5%49.9%41.7%0.1%0%8.2%0%9
60.2%53.4%35.3%0.1%0%11.1%0%10
67.6%58.7%28.2%0.1%0%13%0%11
71.4%60.6%24.2%0.1%0%15.1%0%12
Compiler

Compiled 15 to 12 computations (20% saved)

sample1.7s (13.5%)

Memory
19.4MiB live, 2 556.9MiB allocated
Samples
490.0ms5 548×0valid
314.0ms1 210×2valid
239.0ms1 331×1valid
96.0ms1 049×0invalid
72.0ms167×3valid
Precisions
Click to see histograms. Total time spent on operations: 824.0ms
ival-mult: 230.0ms (27.9% of total)
ival-sub: 175.0ms (21.2% of total)
ival-neg: 134.0ms (16.3% of total)
ival-sqrt: 118.0ms (14.3% of total)
ival-div: 112.0ms (13.6% of total)
adjust: 46.0ms (5.6% of total)
ival-true: 7.0ms (0.8% of total)
ival-assert: 4.0ms (0.5% of total)
Bogosity

preprocess146.0ms (1.2%)

Memory
-22.5MiB live, 132.6MiB allocated
Algorithm
egg-herbie
Rules
890×div-sub
836×times-frac
416×accelerator-lowering-fma.f32
416×accelerator-lowering-fma.f64
398×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048131
1151131
2364126
31109126
42541126
53374126
63431126
73561126
83661126
93661126
103661126
01013
12513
25213
311413
419313
534613
658213
768913
875213
976813
1076913
076913
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
Outputs
(/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 a c #s(literal 0 binary64))))) a)
Call 2
Inputs
(/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
(/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* (neg a) c)))) (neg a))
(/ (- (neg (neg b_2)) (sqrt (- (* (neg b_2) (neg b_2)) (* a c)))) a)
(/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a (neg c))))) a)
(neg (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* (neg a) c)))) (neg a)))
(neg (/ (- (neg (neg b_2)) (sqrt (- (* (neg b_2) (neg b_2)) (* a c)))) a))
(neg (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a (neg c))))) a))
(/ (- (neg a) (sqrt (- (* a a) (* b_2 c)))) b_2)
(/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* c a)))) c)
(/ (- (neg c) (sqrt (- (* c c) (* a b_2)))) a)
Outputs
(/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
(/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* (neg a) c)))) (neg a))
(/ (+ b_2 (sqrt (+ (* b_2 b_2) (* a c)))) a)
(/ (- (neg (neg b_2)) (sqrt (- (* (neg b_2) (neg b_2)) (* a c)))) a)
(/ (- b_2 (sqrt (- (* b_2 b_2) (* a c)))) a)
(/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a (neg c))))) a)
(/ (+ b_2 (sqrt (+ (* b_2 b_2) (* a c)))) (neg a))
(neg (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* (neg a) c)))) (neg a)))
(/ (+ b_2 (sqrt (+ (* b_2 b_2) (* a c)))) (neg a))
(neg (/ (- (neg (neg b_2)) (sqrt (- (* (neg b_2) (neg b_2)) (* a c)))) a))
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
(neg (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a (neg c))))) a))
(/ (+ b_2 (sqrt (+ (* b_2 b_2) (* a c)))) a)
(/ (- (neg a) (sqrt (- (* a a) (* b_2 c)))) b_2)
(/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* c a)))) c)
(/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) c)
(/ (- (neg c) (sqrt (- (* c c) (* a b_2)))) a)
(/ (- (neg c) (sqrt (- (* c c) (* b_2 a)))) a)

explain192.0ms (1.6%)

Memory
-7.0MiB live, 223.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1030-0-(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
491(-7.839031793635677e-203 -1.0338454859719054e+201 1.49096382379582e+80)0-(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
190-2(-7.839031793635677e-203 -1.0338454859719054e+201 1.49096382379582e+80)(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
40-0-(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
00-0-(*.f64 b_2 b_2)
00-0-a
00-0-(neg.f64 b_2)
00-0-b_2
00-0-(*.f64 a c)
00-0-c
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))oflow-rescue980
(*.f64 b_2 b_2)overflow86
(*.f64 a c)overflow24
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))overflow98
-.f64(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))cancellation500
/.f64(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)u/n170
(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))underflow33
(*.f64 b_2 b_2)underflow49
(*.f64 a c)underflow36
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))underflow5
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))uflow-rescue50
(*.f64 b_2 b_2)underflow49
(*.f64 a c)underflow36
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))underflow5
-.f64(-.f64 (*.f64 b_2 b_2) (*.f64 a c))nan-rescue40
(*.f64 b_2 b_2)overflow86
(*.f64 a c)overflow24
Confusion
Predicted +Predicted -
+1170
-21118
Precision
0.8478260869565217
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+11700
-210118
Precision?
0.8478260869565217
Recall?
1.0
Freqs
test
numberfreq
0118
1104
232
32
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
41.0ms348×0valid
18.0ms84×2valid
10.0ms66×1valid
4.0ms14×3valid
Compiler

Compiled 136 to 44 computations (67.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-sub: 22.0ms (43.6% of total)
ival-mult: 9.0ms (17.8% of total)
ival-div: 6.0ms (11.9% of total)
ival-sqrt: 6.0ms (11.9% of total)
ival-neg: 4.0ms (7.9% of total)
adjust: 3.0ms (5.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.3%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify32.0ms (0.3%)

Memory
-7.9MiB live, 30.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01050
12550
25250
311450
419350
534650
658250
768950
875250
976850
1076950
076950
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
(- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))
(neg b_2)
b_2
(sqrt (- (* b_2 b_2) (* a c)))
(- (* b_2 b_2) (* a c))
(* b_2 b_2)
(* a c)
a
c
Outputs
(/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 a c #s(literal 0 binary64))))) a)
(- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))
(-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 a c #s(literal 0 binary64)))))
(neg b_2)
(-.f64 #s(literal 0 binary64) b_2)
b_2
(sqrt (- (* b_2 b_2) (* a c)))
(sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 a c #s(literal 0 binary64))))
(- (* b_2 b_2) (* a c))
(-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 a c #s(literal 0 binary64)))
(* b_2 b_2)
(fma.f64 b_2 b_2 #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
a
c

localize47.0ms (0.4%)

Memory
5.4MiB live, 85.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy98.7%
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
accuracy93.2%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
accuracy82.5%
(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
accuracy62.5%
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
Samples
16.0ms174×0valid
12.0ms42×2valid
5.0ms33×1valid
2.0ms3valid
Compiler

Compiled 52 to 12 computations (76.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-sub: 4.0ms (19.7% of total)
ival-mult: 4.0ms (19.7% of total)
ival-neg: 4.0ms (19.7% of total)
ival-sqrt: 4.0ms (19.7% of total)
ival-div: 3.0ms (14.8% of total)
adjust: 1.0ms (4.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series20.0ms (0.2%)

Memory
-1.1MiB live, 38.0MiB allocated
Counts
4 → 144
Calls
Call 1
Inputs
#<alt (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)>
#<alt (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))>
#<alt (sqrt (- (* b_2 b_2) (* a c)))>
#<alt (- (* b_2 b_2) (* a c))>
Outputs
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a))))>
#<alt (* -2 (/ b_2 a))>
#<alt (* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))>
#<alt (* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a))))>
#<alt (* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))) (* 2 (/ 1 a))))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))>
#<alt (* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2))>
#<alt (* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 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))))))) b_2))>
#<alt (* -2 (/ b_2 a))>
#<alt (/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)>
#<alt (/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)>
#<alt (/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a)>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ b_2 (* -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))) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -2 (/ b_2 a))>
#<alt (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))>
#<alt (+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))))>
#<alt (+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2)))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))>
#<alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))))))>
#<alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c)))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (- (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (- (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (- (* b_2 (- (* b_2 (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -2 b_2)>
#<alt (* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))>
#<alt (* b_2 (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* b_2 (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1 (/ (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/2 (* a c))) b_2))>
#<alt (* -1 (/ (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))))) b_2))>
#<alt (* -1 (/ (- (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2))>
#<alt (* -2 b_2)>
#<alt (- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))>
#<alt (- (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 b_2))>
#<alt (- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))>
#<alt (* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* -1 (* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* a (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -2 b_2)>
#<alt (- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))>
#<alt (- (* c (- (* 1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* -1/2 (/ a b_2)))) (* 2 b_2))>
#<alt (- (* c (- (* c (- (* 1/16 (/ (* (pow a 3) c) (pow b_2 5))) (* -1/8 (/ (pow a 2) (pow b_2 3))))) (* -1/2 (/ a b_2)))) (* 2 b_2))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* c (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))>
#<alt (* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -1 (* c (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))>
#<alt (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))>
#<alt b_2>
#<alt (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))>
#<alt (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))>
#<alt (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))>
#<alt (* -1 b_2)>
#<alt (* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))>
#<alt (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))>
#<alt b_2>
#<alt (+ b_2 (* -1/2 (/ (* a c) b_2)))>
#<alt (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))>
#<alt (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))>
#<alt b_2>
#<alt (+ b_2 (* -1/2 (/ (* a c) b_2)))>
#<alt (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))>
#<alt (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))>
#<alt (* -1 (* a c))>
#<alt (- (pow b_2 2) (* a c))>
#<alt (- (pow b_2 2) (* a c))>
#<alt (- (pow b_2 2) (* a c))>
#<alt (pow b_2 2)>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (pow b_2 2)>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (pow b_2 2)>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (* -1 (* a c))>
#<alt (* a (- (/ (pow b_2 2) a) c))>
#<alt (* a (- (/ (pow b_2 2) a) c))>
#<alt (* a (- (/ (pow b_2 2) a) c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))>
#<alt (* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))>
#<alt (* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))>
#<alt (pow b_2 2)>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (* -1 (* a c))>
#<alt (* c (- (/ (pow b_2 2) c) a))>
#<alt (* c (- (/ (pow b_2 2) c) a))>
#<alt (* c (- (/ (pow b_2 2) c) a))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))>
#<alt (* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))>
#<alt (* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))>
Calls

36 calls:

TimeVariablePointExpression
2.0ms
a
@-inf
(/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
1.0ms
a
@inf
(/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
1.0ms
b_2
@0
(/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
1.0ms
c
@inf
(/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
1.0ms
c
@-inf
(sqrt (- (* b_2 b_2) (* a c)))

rewrite362.0ms (2.9%)

Memory
-8.6MiB live, 578.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 618×accelerator-lowering-fma.f32
4 618×accelerator-lowering-fma.f64
3 760×*-lowering-*.f32
3 760×*-lowering-*.f64
2 318×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01039
16139
249637
3659237
0841537
Stop Event
iter limit
node limit
Counts
4 → 410
Calls
Call 1
Inputs
(/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
(- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))
(sqrt (- (* b_2 b_2) (* a c)))
(- (* b_2 b_2) (* a c))
Outputs
(+.f64 (/.f64 b_2 a) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) a)))
(+.f64 (/.f64 b_2 a) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) a))))
(+.f64 (/.f64 b_2 a) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) a)) (/.f64 b_2 a))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))) (/.f64 b_2 a))
(+.f64 (*.f64 (/.f64 b_2 a) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) a)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))) #s(literal -1 binary64)))
(-.f64 (/.f64 b_2 a) (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) a))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) a))
(-.f64 (/.f64 (/.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))) a) (/.f64 (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (+.f64 (fma.f64 b_2 b_2 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (*.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))) a))
(-.f64 (/.f64 (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))) a) (/.f64 (/.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))) a))
(-.f64 (/.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 a (fma.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (*.f64 a (fma.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))))
(-.f64 (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (*.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))))
(-.f64 (/.f64 (*.f64 b_2 a) (*.f64 a a)) (/.f64 (*.f64 a (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (*.f64 a a)))
(-.f64 (/.f64 (/.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 a (*.f64 a a))) (fma.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) a) (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) a) (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a a)))) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (*.f64 a (*.f64 a a))) (fma.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) a) (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) a) (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a a)))))
(-.f64 (/.f64 (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a a)) (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (*.f64 a a)) (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) a)))
(fma.f64 b_2 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) a)))
(fma.f64 b_2 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) a))))
(fma.f64 b_2 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))
(fma.f64 b_2 (/.f64 #s(literal -1 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) a)))
(fma.f64 b_2 (/.f64 #s(literal -1 binary64) a) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) a))))
(fma.f64 b_2 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))
(fma.f64 b_2 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) a)))
(fma.f64 b_2 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) a))))
(fma.f64 b_2 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a)) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (/.f64 #s(literal -1 binary64) a) (/.f64 b_2 a))
(fma.f64 (/.f64 b_2 a) #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) a)) #s(literal 1 binary64)))
(fma.f64 (/.f64 b_2 a) #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) a)))
(fma.f64 (/.f64 b_2 a) #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) a))))
(fma.f64 (/.f64 b_2 a) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))
(fma.f64 #s(literal 1 binary64) (/.f64 b_2 a) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) a)))
(fma.f64 #s(literal 1 binary64) (/.f64 b_2 a) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) a))))
(fma.f64 #s(literal 1 binary64) (/.f64 b_2 a) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))
(fma.f64 (/.f64 #s(literal 1 binary64) a) b_2 (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) a)))
(fma.f64 (/.f64 #s(literal 1 binary64) a) b_2 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) a))))
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(fma.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) b_2)
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(fma.f64 (pow.f64 b_2 #s(literal 1/2 binary64)) (pow.f64 b_2 #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(fma.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) #s(literal 1/4 binary64)) b_2)
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) #s(literal 1/4 binary64)) b_2)
(fma.f64 (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 b_2 b_2 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (neg.f64 (/.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))))
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(neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
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(/.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
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(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
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(fabs.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))
(neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (sqrt.f64 (-.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (sqrt.f64 (fma.f64 a (*.f64 c (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 b_2 (*.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (sqrt.f64 (-.f64 (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (*.f64 a (*.f64 c (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))))) (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (neg.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (sqrt.f64 (-.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))
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(+.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 a c)))
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) (fma.f64 b_2 b_2 #s(literal 0 binary64)))
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(+.f64 (/.f64 (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (neg.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) #s(literal -1 binary64)))
(hypot.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))
(hypot.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 a c)))
(hypot.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (pow.f64 (*.f64 a c) #s(literal 1 binary64)))
(hypot.f64 (*.f64 a c) (fma.f64 b_2 b_2 #s(literal 0 binary64)))
(hypot.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) (fma.f64 b_2 b_2 #s(literal 0 binary64)))
(hypot.f64 (pow.f64 (*.f64 a c) #s(literal 1 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64)))
(fabs.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))
(-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a c))
(-.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) (fma.f64 b_2 b_2 #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))
(-.f64 (/.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (fma.f64 a (*.f64 c (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (fma.f64 a (*.f64 c (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(-.f64 (/.f64 (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))
(sqrt.f64 (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))
(fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (*.f64 a c)))
(fma.f64 b_2 (/.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (neg.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 a c)))
(fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 a c)))
(fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (neg.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (/.f64 (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (fma.f64 a (*.f64 c (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (neg.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (fma.f64 a (*.f64 c (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))
(fma.f64 a (-.f64 #s(literal 0 binary64) c) (fma.f64 b_2 b_2 #s(literal 0 binary64)))
(fma.f64 c (-.f64 #s(literal 0 binary64) a) (fma.f64 b_2 b_2 #s(literal 0 binary64)))
(fma.f64 (*.f64 a c) #s(literal -1 binary64) (fma.f64 b_2 b_2 #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) a) c (fma.f64 b_2 b_2 #s(literal 0 binary64)))
(fma.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (/.f64 b_2 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (neg.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(fma.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (/.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a (*.f64 c (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (neg.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (fma.f64 a (*.f64 c (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))
(fma.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (neg.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (fma.f64 a (*.f64 c (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))
(fma.f64 (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (neg.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(fma.f64 (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 a (*.f64 c (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (neg.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (fma.f64 a (*.f64 c (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))
(fma.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 a c)))
(fma.f64 #s(literal -1 binary64) (fma.f64 b_2 b_2 #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 a c)))
(fma.f64 #s(literal -1 binary64) (*.f64 a c) (fma.f64 b_2 b_2 #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) c) a (fma.f64 b_2 b_2 #s(literal 0 binary64)))
(fma.f64 (exp.f64 (log.f64 b_2)) (exp.f64 (log.f64 b_2)) (-.f64 #s(literal 0 binary64) (*.f64 a c)))
(fma.f64 (*.f64 c #s(literal -1 binary64)) a (fma.f64 b_2 b_2 #s(literal 0 binary64)))
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(*.f64 (pow.f64 (-.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (fma.f64 b_2 (*.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (fma.f64 a (*.f64 c (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(*.f64 (/.f64 (-.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))) (fma.f64 (*.f64 a (*.f64 c (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (*.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (*.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))) (fma.f64 b_2 (*.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (*.f64 (*.f64 a (*.f64 c (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (-.f64 (*.f64 a (*.f64 c (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))
(*.f64 (/.f64 (-.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))) (*.f64 (fma.f64 a (*.f64 c (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (-.f64 (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (*.f64 a (*.f64 c (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))) (-.f64 (*.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (*.f64 a (*.f64 c (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))

simplify452.0ms (3.7%)

Memory
40.2MiB live, 689.6MiB allocated
Algorithm
egg-herbie
Rules
8 494×accelerator-lowering-fma.f32
8 494×accelerator-lowering-fma.f64
6 878×*-lowering-*.f32
6 878×*-lowering-*.f64
2 476×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05283081
116573043
255133021
082892889
Stop Event
iter limit
node limit
Counts
144 → 144
Calls
Call 1
Inputs
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a))))
(* -2 (/ b_2 a))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 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 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 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))))))) b_2))
(* -2 (/ b_2 a))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) 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 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -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))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -2 (/ b_2 a))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))))
(+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c)))))
(* -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)))
(* -2 b_2)
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))
(* b_2 (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* b_2 (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1/2 (/ (* a c) b_2))
(* -1 (/ (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/2 (* a c))) b_2))
(* -1 (/ (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))))) b_2))
(* -1 (/ (- (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -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))
(* -2 b_2)
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(- (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(* -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))
(* -1 (* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1)))))
(* -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)))))
(* -2 b_2)
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(- (* c (- (* 1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(- (* c (- (* c (- (* 1/16 (/ (* (pow a 3) c) (pow b_2 5))) (* -1/8 (/ (pow a 2) (pow b_2 3))))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(* -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))
(* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* (sqrt (* a c)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
b_2
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))
(* -1 b_2)
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* a c))
(- (pow b_2 2) (* a c))
(- (pow b_2 2) (* a c))
(- (pow b_2 2) (* a c))
(pow b_2 2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(pow b_2 2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(* -1 (* a c))
(* a (- (/ (pow b_2 2) a) c))
(* a (- (/ (pow b_2 2) a) c))
(* a (- (/ (pow b_2 2) a) c))
(* -1 (* a c))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(* -1 (* a c))
(* c (- (/ (pow b_2 2) c) a))
(* c (- (/ (pow b_2 2) c) a))
(* c (- (/ (pow b_2 2) c) a))
(* -1 (* a c))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
Outputs
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (sqrt.f64 (/.f64 c a)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 b_2 a)))
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(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(*.f64 a (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64))) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 b_2 a))))
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))))
(*.f64 a (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 (/.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/8 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 b_2 a)))))
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))
(* -1 (* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1)))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a)) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(*.f64 a (+.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) b_2)) a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))))
(* -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 a (+.f64 (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 a c)))) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a))))))))) (-.f64 #s(literal 0 binary64) a)) b_2) a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))))
(* -2 b_2)
(*.f64 b_2 #s(literal -2 binary64))
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(fma.f64 c (/.f64 (*.f64 a #s(literal 1/2 binary64)) b_2) (*.f64 b_2 #s(literal -2 binary64)))
(- (* c (- (* 1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(fma.f64 c (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b_2)) (*.f64 b_2 #s(literal -2 binary64)))
(- (* c (- (* c (- (* 1/16 (/ (* (pow a 3) c) (pow b_2 5))) (* -1/8 (/ (pow a 2) (pow b_2 3))))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(fma.f64 c (fma.f64 c (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (/.f64 c (pow.f64 b_2 #s(literal 5 binary64))) #s(literal 1/16 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a a)) (*.f64 b_2 (*.f64 b_2 b_2)))) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b_2)) (*.f64 b_2 #s(literal -2 binary64)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a)))
(* c (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(*.f64 c (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 b_2 c))))
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(*.f64 c (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a)))))) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 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)))))
(*.f64 c (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a)))))) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 b_2 c)))))
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))
(* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1)))))
(*.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 b_2 c)) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(*.f64 c (+.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) b_2)) c) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(*.f64 c (+.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) #s(literal 1/8 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 (/.f64 c a)) #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) c)) b_2) c) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (sqrt.f64 #s(literal -1 binary64)))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(fma.f64 (*.f64 b_2 b_2) (fma.f64 (/.f64 (*.f64 b_2 b_2) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 c (*.f64 c (*.f64 c a)))))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
(fma.f64 (*.f64 b_2 b_2) (fma.f64 b_2 (*.f64 b_2 (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 c (*.f64 c (*.f64 c a))))))) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (/.f64 (*.f64 b_2 b_2) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))))
b_2
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(*.f64 b_2 (fma.f64 (*.f64 c a) (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)) #s(literal 1 binary64)))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(*.f64 b_2 (fma.f64 a (*.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) #s(literal 1 binary64))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))
(fma.f64 b_2 (fma.f64 (*.f64 a a) (*.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) #s(literal -1/8 binary64)) (fma.f64 (*.f64 c a) (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)) (*.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b_2 #s(literal 6 binary64)))))) b_2)
(* -1 b_2)
(-.f64 #s(literal 0 binary64) b_2)
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(*.f64 b_2 (fma.f64 (*.f64 a #s(literal 1/2 binary64)) (/.f64 c (*.f64 b_2 b_2)) #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 b_2 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) (fma.f64 (*.f64 a #s(literal 1/2 binary64)) (/.f64 c (*.f64 b_2 b_2)) #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))))))))
(-.f64 #s(literal 0 binary64) (fma.f64 b_2 (fma.f64 (*.f64 a a) (*.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) #s(literal -1/8 binary64)) (fma.f64 (*.f64 c a) (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)) (*.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b_2 #s(literal 6 binary64)))))) b_2))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(fma.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) b_2)
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(fma.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 c b_2) (/.f64 (*.f64 (*.f64 c (*.f64 c a)) #s(literal -1/8 binary64)) (*.f64 b_2 (*.f64 b_2 b_2)))) b_2)
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(fma.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 c a))) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -1/8 binary64)) (*.f64 b_2 (*.f64 b_2 b_2)))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)) b_2)
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 (/.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 (/.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #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)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (-.f64 #s(literal 0 binary64) (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 #s(literal 0 binary64) (*.f64 a (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) #s(literal 1/2 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 #s(literal 0 binary64) (*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) #s(literal -1/8 binary64)) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) #s(literal 1/2 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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) #s(literal 1/2 binary64)))))) (-.f64 #s(literal 0 binary64) a))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(fma.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) b_2)
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(fma.f64 c (fma.f64 #s(literal -1/2 binary64) (/.f64 a b_2) (/.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -1/8 binary64)) c) (*.f64 b_2 (*.f64 b_2 b_2)))) b_2)
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(fma.f64 c (fma.f64 c (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (/.f64 c (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64)) (/.f64 (*.f64 (*.f64 a a) #s(literal -1/8 binary64)) (*.f64 b_2 (*.f64 b_2 b_2)))) (/.f64 (*.f64 a #s(literal -1/2 binary64)) b_2)) b_2)
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(*.f64 c (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a)))))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(*.f64 c (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a)))))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 c (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a)))))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a)))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64))))) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
(*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 b_2 #s(literal 6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)))))) (-.f64 #s(literal 0 binary64) c))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 c a))
(- (pow b_2 2) (* a c))
(fma.f64 c (-.f64 #s(literal 0 binary64) a) (*.f64 b_2 b_2))
(- (pow b_2 2) (* a c))
(fma.f64 c (-.f64 #s(literal 0 binary64) a) (*.f64 b_2 b_2))
(- (pow b_2 2) (* a c))
(fma.f64 c (-.f64 #s(literal 0 binary64) a) (*.f64 b_2 b_2))
(pow b_2 2)
(*.f64 b_2 b_2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(*.f64 (*.f64 b_2 b_2) (fma.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 a (*.f64 b_2 b_2)) #s(literal 1 binary64)))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(*.f64 (*.f64 b_2 b_2) (fma.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 a (*.f64 b_2 b_2)) #s(literal 1 binary64)))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(*.f64 (*.f64 b_2 b_2) (fma.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 a (*.f64 b_2 b_2)) #s(literal 1 binary64)))
(pow b_2 2)
(*.f64 b_2 b_2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(*.f64 (*.f64 b_2 b_2) (fma.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 a (*.f64 b_2 b_2)) #s(literal 1 binary64)))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(*.f64 (*.f64 b_2 b_2) (fma.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 a (*.f64 b_2 b_2)) #s(literal 1 binary64)))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(*.f64 (*.f64 b_2 b_2) (fma.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 a (*.f64 b_2 b_2)) #s(literal 1 binary64)))
(pow b_2 2)
(*.f64 b_2 b_2)
(+ (* -1 (* a c)) (pow b_2 2))
(fma.f64 c (-.f64 #s(literal 0 binary64) a) (*.f64 b_2 b_2))
(+ (* -1 (* a c)) (pow b_2 2))
(fma.f64 c (-.f64 #s(literal 0 binary64) a) (*.f64 b_2 b_2))
(+ (* -1 (* a c)) (pow b_2 2))
(fma.f64 c (-.f64 #s(literal 0 binary64) a) (*.f64 b_2 b_2))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 c a))
(* a (- (/ (pow b_2 2) a) c))
(*.f64 a (-.f64 (/.f64 (*.f64 b_2 b_2) a) c))
(* a (- (/ (pow b_2 2) a) c))
(*.f64 a (-.f64 (/.f64 (*.f64 b_2 b_2) a) c))
(* a (- (/ (pow b_2 2) a) c))
(*.f64 a (-.f64 (/.f64 (*.f64 b_2 b_2) a) c))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 c a))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(*.f64 a (-.f64 (/.f64 (*.f64 b_2 b_2) a) c))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(*.f64 a (-.f64 (/.f64 (*.f64 b_2 b_2) a) c))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(*.f64 a (-.f64 (/.f64 (*.f64 b_2 b_2) a) c))
(pow b_2 2)
(*.f64 b_2 b_2)
(+ (* -1 (* a c)) (pow b_2 2))
(fma.f64 c (-.f64 #s(literal 0 binary64) a) (*.f64 b_2 b_2))
(+ (* -1 (* a c)) (pow b_2 2))
(fma.f64 c (-.f64 #s(literal 0 binary64) a) (*.f64 b_2 b_2))
(+ (* -1 (* a c)) (pow b_2 2))
(fma.f64 c (-.f64 #s(literal 0 binary64) a) (*.f64 b_2 b_2))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 c a))
(* c (- (/ (pow b_2 2) c) a))
(*.f64 c (-.f64 (/.f64 (*.f64 b_2 b_2) c) a))
(* c (- (/ (pow b_2 2) c) a))
(*.f64 c (-.f64 (/.f64 (*.f64 b_2 b_2) c) a))
(* c (- (/ (pow b_2 2) c) a))
(*.f64 c (-.f64 (/.f64 (*.f64 b_2 b_2) c) a))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 c a))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(*.f64 c (-.f64 (/.f64 (*.f64 b_2 b_2) c) a))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(*.f64 c (-.f64 (/.f64 (*.f64 b_2 b_2) c) a))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(*.f64 c (-.f64 (/.f64 (*.f64 b_2 b_2) c) a))

eval67.0ms (0.5%)

Memory
30.6MiB live, 143.1MiB allocated
Compiler

Compiled 22 167 to 1 920 computations (91.3% saved)

prune85.0ms (0.7%)

Memory
4.1MiB live, 203.2MiB allocated
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New53717554
Fresh000
Picked011
Done000
Total53718555
Accuracy
93.5%
Counts
555 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.0%
(fma.f64 c (/.f64 #s(literal 1/2 binary64) b_2) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
25.7%
(/.f64 (fma.f64 b_2 b_2 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (*.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))
30.5%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))
17.4%
(/.f64 (-.f64 (*.f64 b_2 a) (*.f64 a (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))) (*.f64 a a))
30.3%
(/.f64 (-.f64 (neg.f64 b_2) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))) a)
31.1%
(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))) a)
41.6%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (exp.f64 (log.f64 b_2)) (exp.f64 (log.f64 b_2)) (-.f64 #s(literal 0 binary64) (*.f64 a c))))) a)
56.3%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
38.7%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)))) a)
26.3%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 b_2))) a)
32.2%
(/.f64 (-.f64 (neg.f64 b_2) b_2) a)
34.0%
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
27.4%
(/.f64 (*.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)) a)
30.5%
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))
30.5%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))) (-.f64 #s(literal 0 binary64) a)))
30.6%
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
31.1%
(*.f64 b_2 (fma.f64 c (/.f64 #s(literal 1/2 binary64) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)))
32.2%
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
Compiler

Compiled 606 to 368 computations (39.3% saved)

simplify211.0ms (1.7%)

Memory
-45.5MiB live, 248.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
cost-diff0
(/.f64 #s(literal 1 binary64) a)
cost-diff1408
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))
cost-diff0
(sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))
cost-diff0
(-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
cost-diff0
(/.f64 #s(literal 1 binary64) a)
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
cost-diff-64
(*.f64 c #s(literal -1/2 binary64))
cost-diff-64
(*.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
cost-diff0
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
cost-diff1088
(/.f64 (*.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)) a)
cost-diff-64
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
cost-diff0
(/.f64 #s(literal -2 binary64) a)
cost-diff0
(sqrt.f64 (fma.f64 (exp.f64 (log.f64 b_2)) (exp.f64 (log.f64 b_2)) (-.f64 #s(literal 0 binary64) (*.f64 a c))))
cost-diff0
(-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (exp.f64 (log.f64 b_2)) (exp.f64 (log.f64 b_2)) (-.f64 #s(literal 0 binary64) (*.f64 a c)))))
cost-diff0
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (exp.f64 (log.f64 b_2)) (exp.f64 (log.f64 b_2)) (-.f64 #s(literal 0 binary64) (*.f64 a c))))) a)
cost-diff12800
(exp.f64 (log.f64 b_2))
Rules
2 754×accelerator-lowering-fma.f32
2 754×accelerator-lowering-fma.f64
2 418×*-lowering-*.f32
2 418×*-lowering-*.f64
1 700×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033233
186229
2187225
3410221
4909221
51683221
62513221
75039221
87206221
97766221
107853221
117948221
08011210
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (- (neg b_2) (sqrt (+ (* (exp (log b_2)) (exp (log b_2))) (- 0 (* a c))))) a)
(- (neg b_2) (sqrt (+ (* (exp (log b_2)) (exp (log b_2))) (- 0 (* a c)))))
(neg b_2)
b_2
(sqrt (+ (* (exp (log b_2)) (exp (log b_2))) (- 0 (* a c))))
(+ (* (exp (log b_2)) (exp (log b_2))) (- 0 (* a c)))
(exp (log b_2))
(log b_2)
(- 0 (* a c))
0
(* a c)
a
c
(* b_2 (/ -2 a))
b_2
(/ -2 a)
-2
a
(/ (* a (/ (* c -1/2) b_2)) a)
(* a (/ (* c -1/2) b_2))
a
(/ (* c -1/2) b_2)
(* c -1/2)
c
-1/2
b_2
(* (/ 1 a) (- b_2 (sqrt (- 0 (+ (* a c) (+ (* b_2 b_2) 0))))))
(/ 1 a)
1
a
(- b_2 (sqrt (- 0 (+ (* a c) (+ (* b_2 b_2) 0)))))
b_2
(sqrt (- 0 (+ (* a c) (+ (* b_2 b_2) 0))))
(- 0 (+ (* a c) (+ (* b_2 b_2) 0)))
0
(+ (* a c) (+ (* b_2 b_2) 0))
c
(+ (* b_2 b_2) 0)
(/ (/ 1 a) (/ 1 (- b_2 (sqrt (- 0 (+ (* a c) (+ (* b_2 b_2) 0)))))))
(/ 1 a)
1
a
(/ 1 (- b_2 (sqrt (- 0 (+ (* a c) (+ (* b_2 b_2) 0))))))
(- b_2 (sqrt (- 0 (+ (* a c) (+ (* b_2 b_2) 0)))))
b_2
(sqrt (- 0 (+ (* a c) (+ (* b_2 b_2) 0))))
(- 0 (+ (* a c) (+ (* b_2 b_2) 0)))
0
(+ (* a c) (+ (* b_2 b_2) 0))
c
(+ (* b_2 b_2) 0)
Outputs
(/ (- (neg b_2) (sqrt (+ (* (exp (log b_2)) (exp (log b_2))) (- 0 (* a c))))) a)
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))))) a)
(- (neg b_2) (sqrt (+ (* (exp (log b_2)) (exp (log b_2))) (- 0 (* a c)))))
(-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))))
(neg b_2)
(-.f64 #s(literal 0 binary64) b_2)
b_2
(sqrt (+ (* (exp (log b_2)) (exp (log b_2))) (- 0 (* a c))))
(sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))))
(+ (* (exp (log b_2)) (exp (log b_2))) (- 0 (* a c)))
(fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))
(exp (log b_2))
b_2
(log b_2)
(log.f64 b_2)
(- 0 (* a c))
(-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))
0
#s(literal 0 binary64)
(* a c)
(fma.f64 a c #s(literal 0 binary64))
a
c
(* b_2 (/ -2 a))
(fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) #s(literal 0 binary64))
b_2
(/ -2 a)
(/.f64 #s(literal -2 binary64) a)
-2
#s(literal -2 binary64)
a
(/ (* a (/ (* c -1/2) b_2)) a)
(fma.f64 #s(literal -1/2 binary64) (/.f64 c b_2) #s(literal 0 binary64))
(* a (/ (* c -1/2) b_2))
(fma.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 c b_2) #s(literal 0 binary64)) #s(literal 0 binary64))
a
(/ (* c -1/2) b_2)
(fma.f64 #s(literal -1/2 binary64) (/.f64 c b_2) #s(literal 0 binary64))
(* c -1/2)
(fma.f64 c #s(literal -1/2 binary64) #s(literal 0 binary64))
c
-1/2
#s(literal -1/2 binary64)
b_2
(* (/ 1 a) (- b_2 (sqrt (- 0 (+ (* a c) (+ (* b_2 b_2) 0))))))
(/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64)))))) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
1
#s(literal 1 binary64)
a
(- b_2 (sqrt (- 0 (+ (* a c) (+ (* b_2 b_2) 0)))))
(-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))))))
b_2
(sqrt (- 0 (+ (* a c) (+ (* b_2 b_2) 0))))
(sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64)))))
(- 0 (+ (* a c) (+ (* b_2 b_2) 0)))
(-.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))))
0
#s(literal 0 binary64)
(+ (* a c) (+ (* b_2 b_2) 0))
(fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64)))
c
(+ (* b_2 b_2) 0)
(fma.f64 b_2 b_2 #s(literal 0 binary64))
(/ (/ 1 a) (/ 1 (- b_2 (sqrt (- 0 (+ (* a c) (+ (* b_2 b_2) 0)))))))
(/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64)))))) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
1
#s(literal 1 binary64)
a
(/ 1 (- b_2 (sqrt (- 0 (+ (* a c) (+ (* b_2 b_2) 0))))))
(/.f64 #s(literal 1 binary64) (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64)))))))
(- b_2 (sqrt (- 0 (+ (* a c) (+ (* b_2 b_2) 0)))))
(-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))))))
b_2
(sqrt (- 0 (+ (* a c) (+ (* b_2 b_2) 0))))
(sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64)))))
(- 0 (+ (* a c) (+ (* b_2 b_2) 0)))
(-.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))))
0
#s(literal 0 binary64)
(+ (* a c) (+ (* b_2 b_2) 0))
(fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64)))
c
(+ (* b_2 b_2) 0)
(fma.f64 b_2 b_2 #s(literal 0 binary64))

localize112.0ms (0.9%)

Memory
35.5MiB live, 230.3MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(/.f64 #s(literal 1 binary64) (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
accuracy99.9%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))
accuracy99.6%
(fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))
accuracy96.3%
(sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))
accuracy100.0%
(-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))
accuracy99.9%
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
accuracy99.6%
(fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))
accuracy96.3%
(sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))
accuracy100.0%
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
accuracy100.0%
(*.f64 c #s(literal -1/2 binary64))
accuracy97.8%
(/.f64 (*.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)) a)
accuracy96.2%
(*.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
accuracy100.0%
(/.f64 #s(literal -2 binary64) a)
accuracy99.9%
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
accuracy100.0%
(log.f64 b_2)
accuracy99.9%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (exp.f64 (log.f64 b_2)) (exp.f64 (log.f64 b_2)) (-.f64 #s(literal 0 binary64) (*.f64 a c))))) a)
accuracy97.7%
(exp.f64 (log.f64 b_2))
accuracy96.3%
(sqrt.f64 (fma.f64 (exp.f64 (log.f64 b_2)) (exp.f64 (log.f64 b_2)) (-.f64 #s(literal 0 binary64) (*.f64 a c))))
Samples
46.0ms194×0invalid
17.0ms62×0valid
Compiler

Compiled 267 to 35 computations (86.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-div: 10.0ms (25.6% of total)
ival-mult: 10.0ms (25.6% of total)
ival-sub: 5.0ms (12.8% of total)
ival-add: 3.0ms (7.7% of total)
ival-log: 3.0ms (7.7% of total)
ival-sqrt: 3.0ms (7.7% of total)
ival-exp: 2.0ms (5.1% of total)
ival-neg: 1.0ms (2.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series308.0ms (2.5%)

Memory
0.9MiB live, 155.6MiB allocated
Counts
19 → 540
Calls
Call 1
Inputs
#<alt (exp (log b_2))>
#<alt (/ (- (neg b_2) (sqrt (+ (* (exp (log b_2)) (exp (log b_2))) (- 0 (* a c))))) a)>
#<alt (- (neg b_2) (sqrt (+ (* (exp (log b_2)) (exp (log b_2))) (- 0 (* a c)))))>
#<alt (sqrt (+ (* (exp (log b_2)) (exp (log b_2))) (- 0 (* a c))))>
#<alt (/ -2 a)>
#<alt (* b_2 (/ -2 a))>
#<alt (/ (* a (/ (* c -1/2) b_2)) a)>
#<alt (/ (* c -1/2) b_2)>
#<alt (* a (/ (* c -1/2) b_2))>
#<alt (* c -1/2)>
#<alt (* (/ 1 a) (- b_2 (sqrt (- 0 (+ (* a c) (+ (* b_2 b_2) 0))))))>
#<alt (/ 1 a)>
#<alt (- b_2 (sqrt (- 0 (+ (* a c) (+ (* b_2 b_2) 0)))))>
#<alt (sqrt (- 0 (+ (* a c) (+ (* b_2 b_2) 0))))>
#<alt (/ (/ 1 a) (/ 1 (- b_2 (sqrt (- 0 (+ (* a c) (+ (* b_2 b_2) 0)))))))>
#<alt (/ 1 (- b_2 (sqrt (- 0 (+ (* a c) (+ (* b_2 b_2) 0))))))>
#<alt (log b_2)>
#<alt (+ (* a c) (+ (* b_2 b_2) 0))>
#<alt (- 0 (+ (* a c) (+ (* b_2 b_2) 0)))>
Outputs
#<alt b_2>
#<alt b_2>
#<alt b_2>
#<alt b_2>
#<alt b_2>
#<alt b_2>
#<alt b_2>
#<alt b_2>
#<alt b_2>
#<alt b_2>
#<alt b_2>
#<alt b_2>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a))))>
#<alt (* -2 (/ b_2 a))>
#<alt (* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))>
#<alt (* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a))))>
#<alt (* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))) (* 2 (/ 1 a))))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))>
#<alt (* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2))>
#<alt (* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 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))))))) b_2))>
#<alt (* -2 (/ b_2 a))>
#<alt (/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)>
#<alt (/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)>
#<alt (/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a)>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ b_2 (* -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))) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -2 (/ b_2 a))>
#<alt (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))>
#<alt (+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))))>
#<alt (+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2)))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))>
#<alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))))))>
#<alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c)))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (- (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (- (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (- (* b_2 (- (* b_2 (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -2 b_2)>
#<alt (* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))>
#<alt (* b_2 (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* b_2 (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1 (/ (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/2 (* a c))) b_2))>
#<alt (* -1 (/ (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))))) b_2))>
#<alt (* -1 (/ (- (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2))>
#<alt (* -2 b_2)>
#<alt (- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))>
#<alt (- (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 b_2))>
#<alt (- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))>
#<alt (* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* -1 (* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* a (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -2 b_2)>
#<alt (- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))>
#<alt (- (* c (- (* 1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* -1/2 (/ a b_2)))) (* 2 b_2))>
#<alt (- (* c (- (* c (- (* 1/16 (/ (* (pow a 3) c) (pow b_2 5))) (* -1/8 (/ (pow a 2) (pow b_2 3))))) (* -1/2 (/ a b_2)))) (* 2 b_2))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* c (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))>
#<alt (* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -1 (* c (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))>
#<alt (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))>
#<alt b_2>
#<alt (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))>
#<alt (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))>
#<alt (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))>
#<alt (* -1 b_2)>
#<alt (* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))>
#<alt (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))>
#<alt b_2>
#<alt (+ b_2 (* -1/2 (/ (* a c) b_2)))>
#<alt (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))>
#<alt (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))>
#<alt b_2>
#<alt (+ b_2 (* -1/2 (/ (* a c) b_2)))>
#<alt (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))>
#<alt (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))>
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#<alt (+ (* a c) (pow b_2 2))>
#<alt (pow b_2 2)>
#<alt (* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))>
#<alt (* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))>
#<alt (* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))>
#<alt (pow b_2 2)>
#<alt (* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))>
#<alt (* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))>
#<alt (* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))>
#<alt (* -1 (pow b_2 2))>
#<alt (- (* -1 (* a c)) (pow b_2 2))>
#<alt (- (* -1 (* a c)) (pow b_2 2))>
#<alt (- (* -1 (* a c)) (pow b_2 2))>
#<alt (* -1 (* a c))>
#<alt (* a (- (* -1 (/ (pow b_2 2) a)) c))>
#<alt (* a (- (* -1 (/ (pow b_2 2) a)) c))>
#<alt (* a (- (* -1 (/ (pow b_2 2) a)) c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a (- (/ (pow b_2 2) a) (* -1 c))))>
#<alt (* -1 (* a (- (/ (pow b_2 2) a) (* -1 c))))>
#<alt (* -1 (* a (- (/ (pow b_2 2) a) (* -1 c))))>
#<alt (* -1 (pow b_2 2))>
#<alt (- (* -1 (* a c)) (pow b_2 2))>
#<alt (- (* -1 (* a c)) (pow b_2 2))>
#<alt (- (* -1 (* a c)) (pow b_2 2))>
#<alt (* -1 (* a c))>
#<alt (* c (- (* -1 (/ (pow b_2 2) c)) a))>
#<alt (* c (- (* -1 (/ (pow b_2 2) c)) a))>
#<alt (* c (- (* -1 (/ (pow b_2 2) c)) a))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* c (- (/ (pow b_2 2) c) (* -1 a))))>
#<alt (* -1 (* c (- (/ (pow b_2 2) c) (* -1 a))))>
#<alt (* -1 (* c (- (/ (pow b_2 2) c) (* -1 a))))>
#<alt (* -1 (* a c))>
#<alt (- (* -1 (pow b_2 2)) (* a c))>
#<alt (- (* -1 (pow b_2 2)) (* a c))>
#<alt (- (* -1 (pow b_2 2)) (* a c))>
#<alt (* -1 (pow b_2 2))>
#<alt (* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))>
#<alt (* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))>
#<alt (* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))>
#<alt (* -1 (pow b_2 2))>
#<alt (* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))>
#<alt (* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))>
#<alt (* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))>
Calls

135 calls:

TimeVariablePointExpression
201.0ms
b_2
@-inf
(- (neg b_2) (sqrt (+ (* (exp (log b_2)) (exp (log b_2))) (- 0 (* a c)))))
32.0ms
b_2
@0
(log b_2)
13.0ms
b_2
@-inf
(log b_2)
9.0ms
a
@inf
(/ 1 (- b_2 (sqrt (- 0 (+ (* a c) (+ (* b_2 b_2) 0))))))
6.0ms
b_2
@inf
(log b_2)

rewrite592.0ms (4.8%)

Memory
-16.7MiB live, 838.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
10 732×accelerator-lowering-fma.f32
10 732×accelerator-lowering-fma.f64
5 084×/-lowering-/.f32
5 084×/-lowering-/.f64
3 304×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033148
1219144
21901144
08527137
Stop Event
iter limit
node limit
Counts
19 → 1 214
Calls
Call 1
Inputs
(exp (log b_2))
(/ (- (neg b_2) (sqrt (+ (* (exp (log b_2)) (exp (log b_2))) (- 0 (* a c))))) a)
(- (neg b_2) (sqrt (+ (* (exp (log b_2)) (exp (log b_2))) (- 0 (* a c)))))
(sqrt (+ (* (exp (log b_2)) (exp (log b_2))) (- 0 (* a c))))
(/ -2 a)
(* b_2 (/ -2 a))
(/ (* a (/ (* c -1/2) b_2)) a)
(/ (* c -1/2) b_2)
(* a (/ (* c -1/2) b_2))
(* c -1/2)
(* (/ 1 a) (- b_2 (sqrt (- 0 (+ (* a c) (+ (* b_2 b_2) 0))))))
(/ 1 a)
(- b_2 (sqrt (- 0 (+ (* a c) (+ (* b_2 b_2) 0)))))
(sqrt (- 0 (+ (* a c) (+ (* b_2 b_2) 0))))
(/ (/ 1 a) (/ 1 (- b_2 (sqrt (- 0 (+ (* a c) (+ (* b_2 b_2) 0)))))))
(/ 1 (- b_2 (sqrt (- 0 (+ (* a c) (+ (* b_2 b_2) 0))))))
(log b_2)
(+ (* a c) (+ (* b_2 b_2) 0))
(- 0 (+ (* a c) (+ (* b_2 b_2) 0)))
Outputs
b_2
(exp.f64 (log.f64 b_2))
(exp.f64 (*.f64 (log.f64 b_2) #s(literal 1 binary64)))
(pow.f64 b_2 #s(literal 1 binary64))
(+.f64 (/.f64 (-.f64 #s(literal 0 binary64) b_2) a) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))) a)))
(exp.f64 (*.f64 (log.f64 (/.f64 a (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) b_2) a) (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))) a))
(-.f64 (/.f64 #s(literal 0 binary64) a) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))))) (-.f64 #s(literal 0 binary64) a)))
(-.f64 (/.f64 #s(literal 0 binary64) a) (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))))) a))
(-.f64 (/.f64 #s(literal 0 binary64) a) (/.f64 (-.f64 b_2 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))))) a))
(-.f64 (/.f64 (/.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 b_2 b_2 (fma.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))) (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))))) a) (/.f64 (/.f64 (*.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))) (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))))) (fma.f64 b_2 b_2 (fma.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))) (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))))) a))
(-.f64 (/.f64 (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))))) a) (/.f64 (/.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))) (+.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))))) a))
(-.f64 (/.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 a (fma.f64 b_2 b_2 (fma.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))) (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))))))) (/.f64 (*.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))) (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))))) (*.f64 a (fma.f64 b_2 b_2 (fma.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))) (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))))))))
(-.f64 (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a (+.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))))))) (/.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))) (*.f64 a (+.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))))))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b_2) a) (*.f64 a a)) (/.f64 (*.f64 a (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))))) (*.f64 a a)))
(-.f64 (/.f64 (/.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 a (*.f64 a a))) (fma.f64 (/.f64 b_2 a) (/.f64 b_2 a) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))) a) (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))) a) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) b_2) a) (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))) a))))) (/.f64 (/.f64 (*.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))) (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))))) (*.f64 a (*.f64 a a))) (fma.f64 (/.f64 b_2 a) (/.f64 b_2 a) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))) a) (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))) a) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) b_2) a) (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))) a))))))
(-.f64 (/.f64 (*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) b_2) a) (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))) a))) (/.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))) a) (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))) a)) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) b_2) a) (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))) a))))
(fma.f64 (-.f64 #s(literal 0 binary64) b_2) (/.f64 #s(literal 1 binary64) a) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))) a)))
(fma.f64 #s(literal -1 binary64) (/.f64 b_2 a) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))) a)))
(fma.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b_2 #s(literal 1 binary64)) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))) a)))
(fma.f64 (/.f64 b_2 a) #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))) a)))
(neg.f64 (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))))) (-.f64 #s(literal 0 binary64) a)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))))) a))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))))) a)
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 a (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (fma.f64 b_2 b_2 (fma.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))) (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))))) (-.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))) (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (+.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))))) (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) b_2) a) (*.f64 a (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 b_2 b_2 (fma.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))) (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))))) a) (*.f64 (-.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))) (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 b_2 b_2 (fma.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))) (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))))) (-.f64 #s(literal 0 binary64) a)) (*.f64 (-.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))) (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))))) a) (*.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))))) (-.f64 #s(literal 0 binary64) a)) (*.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 b_2 a) (/.f64 b_2 a) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))) a) (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))) a) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) b_2) a) (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))) a)))) (-.f64 (/.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))) (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))))) (*.f64 a (*.f64 a a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) b_2) a) (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))) a)) (-.f64 (*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))) a) (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))) a)))))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b_2 b_2 (fma.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))) (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))))) (*.f64 (-.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))) (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))))) (/.f64 #s(literal 1 binary64) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))))) (*.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))))))))
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(/.f64 (-.f64 (pow.f64 (-.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (-.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))) #s(literal 0 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(pow.f64 (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64)))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))))) #s(literal 2 binary64))
(pow.f64 (fma.f64 (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))) (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1/2 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64)))))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))))) #s(literal -1 binary64))
(*.f64 (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))) (/.f64 (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))) (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))))))
(*.f64 #s(literal -1 binary64) (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64)))))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64)))))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))) (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64)))) (sqrt.f64 (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64)))))
(*.f64 (*.f64 (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))) (fma.f64 (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))) (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))) (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))) #s(literal 0 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))) (/.f64 (-.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))))))
(*.f64 (pow.f64 (*.f64 (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))) (fma.f64 (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))) (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))) #s(literal 0 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))) (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))) #s(literal 0 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))) (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))) #s(literal 0 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64)))) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))) (fma.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 a (*.f64 c (fma.f64 a c #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 (-.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64)))))))))
(*.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))) (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))))) (/.f64 (-.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64))) (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))))))
(*.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))) (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64)))) (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))) #s(literal 3/2 binary64)) (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64)))) (/.f64 (pow.f64 (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))) #s(literal 3/2 binary64)) (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64)))))

simplify577.0ms (4.7%)

Memory
21.8MiB live, 1 030.2MiB allocated
Algorithm
egg-herbie
Rules
7 754×*-lowering-*.f32
7 754×*-lowering-*.f64
7 506×accelerator-lowering-fma.f32
7 506×accelerator-lowering-fma.f64
4 774×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0127010651
1420210336
091779961
Stop Event
iter limit
node limit
Counts
540 → 540
Calls
Call 1
Inputs
b_2
b_2
b_2
b_2
b_2
b_2
b_2
b_2
b_2
b_2
b_2
b_2
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a))))
(* -2 (/ b_2 a))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 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 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 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))))))) b_2))
(* -2 (/ b_2 a))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) 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 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -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))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -2 (/ b_2 a))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))))
(+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c)))))
(* -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)))
(* -2 b_2)
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))
(* b_2 (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* b_2 (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1/2 (/ (* a c) b_2))
(* -1 (/ (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/2 (* a c))) b_2))
(* -1 (/ (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))))) b_2))
(* -1 (/ (- (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -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))
(* -2 b_2)
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(- (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(* -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))
(* -1 (* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1)))))
(* -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)))))
(* -2 b_2)
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(- (* c (- (* 1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(- (* c (- (* c (- (* 1/16 (/ (* (pow a 3) c) (pow b_2 5))) (* -1/8 (/ (pow a 2) (pow b_2 3))))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(* -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))
(* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* (sqrt (* a c)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
b_2
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))
(* -1 b_2)
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
(/ -2 a)
(/ -2 a)
(/ -2 a)
(/ -2 a)
(/ -2 a)
(/ -2 a)
(/ -2 a)
(/ -2 a)
(/ -2 a)
(/ -2 a)
(/ -2 a)
(/ -2 a)
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -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))
(* -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))
(* -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))
(* -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))
(* -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))
(* -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))
(* -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))
(* -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))
(* -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))
(* -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))
(* -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))
(* -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))
(* -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 c) 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 c) 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 c) 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 c) 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 c) 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 c) 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 c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(/ (- b_2 (* b_2 (sqrt -1))) a)
(/ (- (+ b_2 (* -1/2 (/ (* a (* c (sqrt -1))) b_2))) (* b_2 (sqrt -1))) a)
(/ (- (+ b_2 (* a (+ (* -1/2 (/ (* c (sqrt -1)) b_2)) (* 1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3)))))) (* b_2 (sqrt -1))) a)
(/ (- (+ b_2 (* a (+ (* -1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))) (* 1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3)))))))) (* b_2 (sqrt -1))) a)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (/ b_2 a)))
(+ (* -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)))) (/ b_2 a))))
(* (sqrt (/ c a)) (pow (sqrt -1) 3))
(+ (* (sqrt (/ c a)) (pow (sqrt -1) 3)) (/ b_2 a))
(+ (* -1 (/ (+ (* -1 b_2) (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))
(+ (* -1 (/ (+ (* -1 b_2) (* -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))) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* b_2 (sqrt -1)))) (/ 1 a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (+ (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))))) (/ 1 a))))
(/ (* b_2 (- 1 (sqrt -1))) a)
(* b_2 (- (+ (* -1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (/ 1 a)) (/ (sqrt -1) a)))
(* b_2 (- (+ (* -1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (+ (* 1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (/ 1 a))) (/ (sqrt -1) a)))
(* b_2 (- (+ (* -1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (+ (* -1/16 (/ (* (pow a 2) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (+ (* 1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (/ 1 a)))) (/ (sqrt -1) a)))
(/ (* b_2 (+ 1 (sqrt -1))) a)
(* -1 (* b_2 (+ (* -1 (/ (+ 1 (sqrt -1)) a)) (* -1/2 (/ (* c (sqrt -1)) (pow b_2 2))))))
(* -1 (* b_2 (+ (* -1 (/ (+ 1 (sqrt -1)) a)) (+ (* -1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (* 1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4)))))))
(* -1 (* b_2 (+ (* -1 (/ (+ 1 (sqrt -1)) a)) (+ (* -1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (+ (* -1/16 (/ (* (pow a 2) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))))))))
(/ (- b_2 (* b_2 (sqrt -1))) a)
(- (+ (* -1/2 (/ (* c (sqrt -1)) b_2)) (/ b_2 a)) (/ (* b_2 (sqrt -1)) a))
(- (+ (* c (+ (* -1/2 (/ (sqrt -1) b_2)) (* 1/8 (/ (* a (* c (sqrt -1))) (pow b_2 3))))) (/ b_2 a)) (/ (* b_2 (sqrt -1)) a))
(- (+ (* c (+ (* -1/2 (/ (sqrt -1) b_2)) (* c (+ (* -1/16 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 5))) (* 1/8 (/ (* a (sqrt -1)) (pow b_2 3))))))) (/ b_2 a)) (/ (* b_2 (sqrt -1)) a))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (/ b_2 (* a c)))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (/ b_2 (* a c))))))
(* (sqrt (/ c a)) (pow (sqrt -1) 3))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3))) (* -1 (/ b_2 (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3))) (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (/ b_2 a)) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b_2 4) (sqrt -1))))) c)) (/ b_2 a)) c)))))
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(- b_2 (* (sqrt (* a c)) (sqrt -1)))
(- (* b_2 (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (* b_2 (sqrt -1)))))) (* (sqrt (* a c)) (sqrt -1)))
(- (* b_2 (+ 1 (* b_2 (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))) (* (sqrt (* a c)) (sqrt -1)))
(* b_2 (- 1 (sqrt -1)))
(* b_2 (- (+ 1 (* -1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))) (sqrt -1)))
(* b_2 (- (+ 1 (* 1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4)))) (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))
(* b_2 (- (+ 1 (* -1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6)))) (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))
(* b_2 (+ 1 (sqrt -1)))
(* -1 (* b_2 (- (* -1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))) (+ 1 (sqrt -1)))))
(* -1 (* b_2 (- (* 1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ 1 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))))
(* -1 (* b_2 (- (* -1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (+ 1 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))))
(- b_2 (* b_2 (sqrt -1)))
(- (+ b_2 (* -1/2 (/ (* a (* c (sqrt -1))) b_2))) (* b_2 (sqrt -1)))
(- (+ b_2 (* a (- (* 1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2))))) (* b_2 (sqrt -1)))
(- (+ b_2 (* a (- (* a (- (* -1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))) (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))))) (* 1/2 (/ (* c (sqrt -1)) b_2))))) (* b_2 (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* (sqrt (* a c)) (pow (sqrt -1) 3))
(* -1 (* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))
(* -1 (* a (- (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))
(* -1 (* a (- (* -1 (/ (+ b_2 (* -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))) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))
(- b_2 (* b_2 (sqrt -1)))
(- (+ b_2 (* -1/2 (/ (* a (* c (sqrt -1))) b_2))) (* b_2 (sqrt -1)))
(- (+ b_2 (* c (- (* 1/8 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* a (sqrt -1)) b_2))))) (* b_2 (sqrt -1)))
(- (+ b_2 (* c (- (* c (- (* -1/16 (/ (* (pow a 3) (* c (sqrt -1))) (pow b_2 5))) (* -1/8 (/ (* (pow a 2) (sqrt -1)) (pow b_2 3))))) (* 1/2 (/ (* a (sqrt -1)) b_2))))) (* b_2 (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (/ b_2 c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* (sqrt (* a c)) (pow (sqrt -1) 3))
(* -1 (* c (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))
(* -1 (* c (- (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))
(* -1 (* c (- (* -1 (/ (+ b_2 (* -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))) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))
(* b_2 (sqrt -1))
(+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1)))
(+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1)))
(+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1)))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 3)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))))
(* b_2 (sqrt -1))
(+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1)))
(+ (* b_2 (sqrt -1)) (* c (+ (* -1/8 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* a (sqrt -1)) b_2)))))
(+ (* b_2 (sqrt -1)) (* c (+ (* 1/2 (/ (* a (sqrt -1)) b_2)) (* c (+ (* -1/8 (/ (* (pow a 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* (pow a 3) (* c (sqrt -1))) (pow b_2 5))))))))
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 3)))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))))
(* (sqrt (* a c)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (sqrt -1))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 2) (sqrt -1)))))))))
(* b_2 (sqrt -1))
(* b_2 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))
(* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))
(* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))
(* -1 (* b_2 (sqrt -1)))
(* -1 (* b_2 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))
(* -1 (* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))
(* -1 (* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))))
(/ (- b_2 (* b_2 (sqrt -1))) a)
(/ (- (+ b_2 (* -1/2 (/ (* a (* c (sqrt -1))) b_2))) (* b_2 (sqrt -1))) a)
(/ (- (+ b_2 (* a (+ (* -1/2 (/ (* c (sqrt -1)) b_2)) (* 1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3)))))) (* b_2 (sqrt -1))) a)
(/ (- (+ b_2 (* a (+ (* -1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))) (* 1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3)))))))) (* b_2 (sqrt -1))) a)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (/ b_2 a)))
(+ (* -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)))) (/ b_2 a))))
(* (sqrt (/ c a)) (pow (sqrt -1) 3))
(+ (* (sqrt (/ c a)) (pow (sqrt -1) 3)) (/ b_2 a))
(+ (* -1 (/ (+ (* -1 b_2) (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))
(+ (* -1 (/ (+ (* -1 b_2) (* -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))) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* b_2 (sqrt -1)))) (/ 1 a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (+ (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))))) (/ 1 a))))
(/ (* b_2 (- 1 (sqrt -1))) a)
(* b_2 (- (+ (* -1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (/ 1 a)) (/ (sqrt -1) a)))
(* b_2 (- (+ (* -1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (+ (* 1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (/ 1 a))) (/ (sqrt -1) a)))
(* b_2 (- (+ (* -1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (+ (* -1/16 (/ (* (pow a 2) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (+ (* 1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (/ 1 a)))) (/ (sqrt -1) a)))
(/ (* b_2 (+ 1 (sqrt -1))) a)
(* -1 (* b_2 (+ (* -1 (/ (+ 1 (sqrt -1)) a)) (* -1/2 (/ (* c (sqrt -1)) (pow b_2 2))))))
(* -1 (* b_2 (+ (* -1 (/ (+ 1 (sqrt -1)) a)) (+ (* -1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (* 1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4)))))))
(* -1 (* b_2 (+ (* -1 (/ (+ 1 (sqrt -1)) a)) (+ (* -1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (+ (* -1/16 (/ (* (pow a 2) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))))))))
(/ (- b_2 (* b_2 (sqrt -1))) a)
(- (+ (* -1/2 (/ (* c (sqrt -1)) b_2)) (/ b_2 a)) (/ (* b_2 (sqrt -1)) a))
(- (+ (* c (+ (* -1/2 (/ (sqrt -1) b_2)) (* 1/8 (/ (* a (* c (sqrt -1))) (pow b_2 3))))) (/ b_2 a)) (/ (* b_2 (sqrt -1)) a))
(- (+ (* c (+ (* -1/2 (/ (sqrt -1) b_2)) (* c (+ (* -1/16 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 5))) (* 1/8 (/ (* a (sqrt -1)) (pow b_2 3))))))) (/ b_2 a)) (/ (* b_2 (sqrt -1)) a))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (/ b_2 (* a c)))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (/ b_2 (* a c))))))
(* (sqrt (/ c a)) (pow (sqrt -1) 3))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3))) (* -1 (/ b_2 (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3))) (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (/ b_2 a)) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b_2 4) (sqrt -1))))) c)) (/ b_2 a)) c)))))
(* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1))))
(+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (* a (* c (pow (sqrt -1) 2))))))
(+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* b_2 (- (* -1 (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (* a (* c (pow (sqrt -1) 2)))))))
(+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* b_2 (- (* b_2 (- (* b_2 (- (* 1/2 (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -1) 2))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (* a (* c (pow (sqrt -1) 2)))))))
(/ 1 (* b_2 (- 1 (sqrt -1))))
(/ (+ (* 1/2 (/ (* a (* c (sqrt -1))) (* (pow b_2 2) (pow (- 1 (sqrt -1)) 2)))) (/ 1 (- 1 (sqrt -1)))) b_2)
(/ (- (+ (* -1 (/ (+ (* -1/4 (/ (* (pow a 2) (* (pow c 2) (pow (sqrt -1) 2))) (pow (- 1 (sqrt -1)) 3))) (* 1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow (- 1 (sqrt -1)) 2)))) (pow b_2 4))) (/ 1 (- 1 (sqrt -1)))) (* -1/2 (/ (* a (* c (sqrt -1))) (* (pow b_2 2) (pow (- 1 (sqrt -1)) 2))))) b_2)
(/ (- (+ (* -1 (/ (+ (* -1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow (- 1 (sqrt -1)) 2))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (pow (sqrt -1) 2))) (pow (- 1 (sqrt -1)) 3))) (* 1/2 (/ (* a (* c (* (sqrt -1) (+ (* -1/4 (/ (* (pow a 2) (* (pow c 2) (pow (sqrt -1) 2))) (pow (- 1 (sqrt -1)) 3))) (* 1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow (- 1 (sqrt -1)) 2))))))) (- 1 (sqrt -1)))))) (pow b_2 6))) (/ 1 (- 1 (sqrt -1)))) (+ (* -1/2 (/ (* a (* c (sqrt -1))) (* (pow b_2 2) (pow (- 1 (sqrt -1)) 2)))) (+ (* -1/4 (/ (* (pow a 2) (* (pow c 2) (pow (sqrt -1) 2))) (* (pow b_2 4) (pow (- 1 (sqrt -1)) 3)))) (* 1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (* (pow b_2 4) (pow (- 1 (sqrt -1)) 2))))))) b_2)
(/ 1 (* b_2 (+ 1 (sqrt -1))))
(* -1 (/ (- (* 1/2 (/ (* a (* c (sqrt -1))) (* (pow b_2 2) (pow (+ 1 (sqrt -1)) 2)))) (/ 1 (+ 1 (sqrt -1)))) b_2))
(* -1 (/ (- (* -1 (/ (+ (* 1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow (+ 1 (sqrt -1)) 2))) (* 1/4 (/ (* (pow a 2) (* (pow c 2) (pow (sqrt -1) 2))) (pow (+ 1 (sqrt -1)) 3)))) (pow b_2 4))) (+ (* -1/2 (/ (* a (* c (sqrt -1))) (* (pow b_2 2) (pow (+ 1 (sqrt -1)) 2)))) (/ 1 (+ 1 (sqrt -1))))) b_2))
(* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (* a (* c (* (sqrt -1) (+ (* 1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow (+ 1 (sqrt -1)) 2))) (* 1/4 (/ (* (pow a 2) (* (pow c 2) (pow (sqrt -1) 2))) (pow (+ 1 (sqrt -1)) 3))))))) (+ 1 (sqrt -1)))) (+ (* -1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow (+ 1 (sqrt -1)) 2))) (* -1/16 (/ (* (pow a 3) (* (pow c 3) (pow (sqrt -1) 2))) (pow (+ 1 (sqrt -1)) 3))))) (pow b_2 6))) (+ (* -1/2 (/ (* a (* c (sqrt -1))) (* (pow b_2 2) (pow (+ 1 (sqrt -1)) 2)))) (+ (* 1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (* (pow b_2 4) (pow (+ 1 (sqrt -1)) 2)))) (+ (* 1/4 (/ (* (pow a 2) (* (pow c 2) (pow (sqrt -1) 2))) (* (pow b_2 4) (pow (+ 1 (sqrt -1)) 3)))) (/ 1 (+ 1 (sqrt -1))))))) b_2))
(/ 1 (- b_2 (* b_2 (sqrt -1))))
(+ (* 1/2 (/ (* a (* c (sqrt -1))) (* b_2 (pow (- b_2 (* b_2 (sqrt -1))) 2)))) (/ 1 (- b_2 (* b_2 (sqrt -1)))))
(+ (* a (- (* -1 (* a (+ (* -1/4 (/ (* (pow c 2) (pow (sqrt -1) 2)) (* (pow b_2 2) (pow (- b_2 (* b_2 (sqrt -1))) 3)))) (* 1/8 (/ (* (pow c 2) (sqrt -1)) (* (pow b_2 3) (pow (- b_2 (* b_2 (sqrt -1))) 2))))))) (* -1/2 (/ (* c (sqrt -1)) (* b_2 (pow (- b_2 (* b_2 (sqrt -1))) 2)))))) (/ 1 (- b_2 (* b_2 (sqrt -1)))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/16 (/ (* (pow c 3) (sqrt -1)) (* (pow b_2 5) (pow (- b_2 (* b_2 (sqrt -1))) 2)))) (+ (* 1/16 (/ (* (pow c 3) (pow (sqrt -1) 2)) (* (pow b_2 4) (pow (- b_2 (* b_2 (sqrt -1))) 3)))) (* 1/2 (/ (* c (* (sqrt -1) (+ (* -1/4 (/ (* (pow c 2) (pow (sqrt -1) 2)) (* (pow b_2 2) (pow (- b_2 (* b_2 (sqrt -1))) 3)))) (* 1/8 (/ (* (pow c 2) (sqrt -1)) (* (pow b_2 3) (pow (- b_2 (* b_2 (sqrt -1))) 2))))))) (* b_2 (- b_2 (* b_2 (sqrt -1)))))))))) (+ (* -1/4 (/ (* (pow c 2) (pow (sqrt -1) 2)) (* (pow b_2 2) (pow (- b_2 (* b_2 (sqrt -1))) 3)))) (* 1/8 (/ (* (pow c 2) (sqrt -1)) (* (pow b_2 3) (pow (- b_2 (* b_2 (sqrt -1))) 2))))))) (* -1/2 (/ (* c (sqrt -1)) (* b_2 (pow (- b_2 (* b_2 (sqrt -1))) 2)))))) (/ 1 (- b_2 (* b_2 (sqrt -1)))))
(* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1))))
(/ (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (* c (pow (sqrt -1) 2))))) a)
(/ (- (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -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) (pow (sqrt -1) 3)))) (pow a 2)))) (/ b_2 (* c (pow (sqrt -1) 2)))) a)
(/ (- (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (pow b_2 3)) (* (pow c 2) (pow (sqrt -1) 2)))) (* (sqrt (/ a c)) (/ (* b_2 (+ (* -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) (pow (sqrt -1) 3))))) (sqrt -1)))) (pow a 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3))) (/ b_2 (* c (pow (sqrt -1) 2)))))) a)
(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))
(* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (* c (pow (sqrt -1) 4))))) a))
(* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 5)))) (* -1 (/ (* a b_2) (* c (pow (sqrt -1) 4))))) a))) a))
(* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* a (pow b_2 3)) (* (pow c 2) (pow (sqrt -1) 6)))) (* (sqrt (/ 1 (* a c))) (/ (* b_2 (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 5))))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 5))))) a)) (* -1 (/ (* a b_2) (* c (pow (sqrt -1) 4))))) a))) a))
(/ 1 (- b_2 (* b_2 (sqrt -1))))
(+ (* 1/2 (/ (* a (* c (sqrt -1))) (* b_2 (pow (- b_2 (* b_2 (sqrt -1))) 2)))) (/ 1 (- b_2 (* b_2 (sqrt -1)))))
(+ (* c (- (* -1 (* c (+ (* -1/4 (/ (* (pow a 2) (pow (sqrt -1) 2)) (* (pow b_2 2) (pow (- b_2 (* b_2 (sqrt -1))) 3)))) (* 1/8 (/ (* (pow a 2) (sqrt -1)) (* (pow b_2 3) (pow (- b_2 (* b_2 (sqrt -1))) 2))))))) (* -1/2 (/ (* a (sqrt -1)) (* b_2 (pow (- b_2 (* b_2 (sqrt -1))) 2)))))) (/ 1 (- b_2 (* b_2 (sqrt -1)))))
(+ (* c (- (* c (- (* -1 (* c (+ (* -1/16 (/ (* (pow a 3) (sqrt -1)) (* (pow b_2 5) (pow (- b_2 (* b_2 (sqrt -1))) 2)))) (+ (* 1/16 (/ (* (pow a 3) (pow (sqrt -1) 2)) (* (pow b_2 4) (pow (- b_2 (* b_2 (sqrt -1))) 3)))) (* 1/2 (/ (* a (* (sqrt -1) (+ (* -1/4 (/ (* (pow a 2) (pow (sqrt -1) 2)) (* (pow b_2 2) (pow (- b_2 (* b_2 (sqrt -1))) 3)))) (* 1/8 (/ (* (pow a 2) (sqrt -1)) (* (pow b_2 3) (pow (- b_2 (* b_2 (sqrt -1))) 2))))))) (* b_2 (- b_2 (* b_2 (sqrt -1)))))))))) (+ (* -1/4 (/ (* (pow a 2) (pow (sqrt -1) 2)) (* (pow b_2 2) (pow (- b_2 (* b_2 (sqrt -1))) 3)))) (* 1/8 (/ (* (pow a 2) (sqrt -1)) (* (pow b_2 3) (pow (- b_2 (* b_2 (sqrt -1))) 2))))))) (* -1/2 (/ (* a (sqrt -1)) (* b_2 (pow (- b_2 (* b_2 (sqrt -1))) 2)))))) (/ 1 (- b_2 (* b_2 (sqrt -1)))))
(* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1))))
(/ (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (* a (pow (sqrt -1) 2))))) c)
(/ (- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (pow c 2)))) (/ b_2 (* a (pow (sqrt -1) 2)))) c)
(/ (- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* -1 (/ (+ (* -1/2 (/ (* (pow b_2 3) (pow c 2)) (* (pow a 2) (pow (sqrt -1) 2)))) (* (sqrt (/ c a)) (/ (* b_2 (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (sqrt -1)))) (pow c 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (pow (sqrt -1) 3))) (/ b_2 (* a (pow (sqrt -1) 2)))))) c)
(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))
(* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (* a (pow (sqrt -1) 4))))) c))
(* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 5)))) (* -1 (/ (* b_2 c) (* a (pow (sqrt -1) 4))))) c))) c))
(* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow b_2 3) c) (* (pow a 2) (pow (sqrt -1) 6)))) (* (sqrt (/ 1 (* a c))) (/ (* b_2 (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 5))))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 5))))) c)) (* -1 (/ (* b_2 c) (* a (pow (sqrt -1) 4))))) c))) c))
(log b_2)
(log b_2)
(log b_2)
(log b_2)
(* -1 (log (/ 1 b_2)))
(* -1 (log (/ 1 b_2)))
(* -1 (log (/ 1 b_2)))
(* -1 (log (/ 1 b_2)))
(+ (log -1) (* -1 (log (/ -1 b_2))))
(+ (log -1) (* -1 (log (/ -1 b_2))))
(+ (log -1) (* -1 (log (/ -1 b_2))))
(+ (log -1) (* -1 (log (/ -1 b_2))))
(pow b_2 2)
(+ (* a c) (pow b_2 2))
(+ (* a c) (pow b_2 2))
(+ (* a c) (pow b_2 2))
(* a c)
(* a (+ c (/ (pow b_2 2) a)))
(* a (+ c (/ (pow b_2 2) a)))
(* a (+ c (/ (pow b_2 2) a)))
(* a c)
(* -1 (* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a)))))
(pow b_2 2)
(+ (* a c) (pow b_2 2))
(+ (* a c) (pow b_2 2))
(+ (* a c) (pow b_2 2))
(* a c)
(* c (+ a (/ (pow b_2 2) c)))
(* c (+ a (/ (pow b_2 2) c)))
(* c (+ a (/ (pow b_2 2) c)))
(* a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))))
(* a c)
(+ (* a c) (pow b_2 2))
(+ (* a c) (pow b_2 2))
(+ (* a c) (pow b_2 2))
(pow b_2 2)
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(pow b_2 2)
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(* -1 (pow b_2 2))
(- (* -1 (* a c)) (pow b_2 2))
(- (* -1 (* a c)) (pow b_2 2))
(- (* -1 (* a c)) (pow b_2 2))
(* -1 (* a c))
(* a (- (* -1 (/ (pow b_2 2) a)) c))
(* a (- (* -1 (/ (pow b_2 2) a)) c))
(* a (- (* -1 (/ (pow b_2 2) a)) c))
(* -1 (* a c))
(* -1 (* a (- (/ (pow b_2 2) a) (* -1 c))))
(* -1 (* a (- (/ (pow b_2 2) a) (* -1 c))))
(* -1 (* a (- (/ (pow b_2 2) a) (* -1 c))))
(* -1 (pow b_2 2))
(- (* -1 (* a c)) (pow b_2 2))
(- (* -1 (* a c)) (pow b_2 2))
(- (* -1 (* a c)) (pow b_2 2))
(* -1 (* a c))
(* c (- (* -1 (/ (pow b_2 2) c)) a))
(* c (- (* -1 (/ (pow b_2 2) c)) a))
(* c (- (* -1 (/ (pow b_2 2) c)) a))
(* -1 (* a c))
(* -1 (* c (- (/ (pow b_2 2) c) (* -1 a))))
(* -1 (* c (- (/ (pow b_2 2) c) (* -1 a))))
(* -1 (* c (- (/ (pow b_2 2) c) (* -1 a))))
(* -1 (* a c))
(- (* -1 (pow b_2 2)) (* a c))
(- (* -1 (pow b_2 2)) (* a c))
(- (* -1 (pow b_2 2)) (* a c))
(* -1 (pow b_2 2))
(* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))
(* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))
(* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))
(* -1 (pow b_2 2))
(* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))
(* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))
(* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))
Outputs
b_2
b_2
b_2
b_2
b_2
b_2
b_2
b_2
b_2
b_2
b_2
b_2
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))))
(fma.f64 b_2 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) a)) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a))))
(fma.f64 b_2 (fma.f64 b_2 (fma.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (/.f64 (*.f64 b_2 b_2) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) a)) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))))
(* -2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(*.f64 b_2 (fma.f64 #s(literal 1/2 binary64) (/.f64 c (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)))
(* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a))))
(*.f64 b_2 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a))))
(* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))) (* 2 (/ 1 a))))
(*.f64 b_2 (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (pow.f64 b_2 #s(literal 6 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)))))
(* -1/2 (/ c b_2))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(/.f64 (fma.f64 c #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (pow.f64 b_2 #s(literal 4 binary64))) (fma.f64 c #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b_2 b_2)))) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 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))))))) b_2))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (pow.f64 b_2 #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (+.f64 c (/.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 5/64 binary64)) (*.f64 a (pow.f64 b_2 #s(literal 6 binary64))))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b_2 b_2)))) (-.f64 #s(literal 0 binary64) b_2))
(* -2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c a) b_2) (*.f64 b_2 #s(literal -2 binary64))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)
(/.f64 (fma.f64 a (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)) (*.f64 b_2 #s(literal -2 binary64))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a)
(/.f64 (fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c c)) (*.f64 b_2 (*.f64 b_2 b_2)))) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)) (*.f64 b_2 #s(literal -2 binary64))) a)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(-.f64 #s(literal 0 binary64) (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 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))
(-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 (-.f64 #s(literal 0 binary64) a))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))
(+.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 b_2 a))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a))
(+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2))) b_2) a))
(+ (* -1 (/ (+ b_2 (* -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))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 b_2 (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 a c))))) a)) a))
(* -2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a))
(+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))))
(fma.f64 c (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 c a) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 #s(literal 1/2 binary64) b_2)) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a))
(+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2)))))
(fma.f64 c (fma.f64 c (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 c (*.f64 a a)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal 1/8 binary64) a) (*.f64 b_2 (*.f64 b_2 b_2)))) (/.f64 #s(literal 1/2 binary64) b_2)) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))
(*.f64 c (neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 b_2 (*.f64 c a)))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))))))
(*.f64 c (+.f64 (neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 b_2 (*.f64 c a)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))))))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))
(*.f64 c (+.f64 (neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 b_2 (*.f64 c a)))) (fma.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64)))))) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))))))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))
(*.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 b_2 (*.f64 c a))) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)))))
(*.f64 (neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2))) (/.f64 b_2 (-.f64 #s(literal 0 binary64) a))) c))) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c)))))
(*.f64 (neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 (-.f64 (/.f64 b_2 (-.f64 #s(literal 0 binary64) a)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64)))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)))) c)) c))) (-.f64 #s(literal 0 binary64) c))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))))
(- (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(-.f64 (-.f64 #s(literal 0 binary64) b_2) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))))
(- (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(fma.f64 b_2 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))))
(- (* b_2 (- (* b_2 (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(fma.f64 b_2 (fma.f64 b_2 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (*.f64 b_2 b_2)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64))))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))))
(* -2 b_2)
(*.f64 b_2 #s(literal -2 binary64))
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))
(*.f64 b_2 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c a) (*.f64 b_2 b_2)) #s(literal -2 binary64)))
(* b_2 (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(*.f64 b_2 (-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 c c) (*.f64 a a))) (pow.f64 b_2 #s(literal 4 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 c a) (*.f64 b_2 b_2)) #s(literal 2 binary64))))
(* b_2 (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(*.f64 b_2 (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) (*.f64 b_2 b_2)))))
(* -1/2 (/ (* a c) b_2))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 c a) b_2))
(* -1 (/ (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/2 (* a c))) b_2))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (*.f64 b_2 b_2)) (*.f64 #s(literal 1/2 binary64) (*.f64 c a))) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (/ (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))))) b_2))
(/.f64 (+.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b_2 #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 c a))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (*.f64 b_2 b_2)))) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (/ (- (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -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 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 5/64 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 c a) (fma.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/16 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (*.f64 b_2 b_2)))))) (-.f64 #s(literal 0 binary64) b_2))
(* -2 b_2)
(*.f64 b_2 #s(literal -2 binary64))
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c a) b_2) (*.f64 b_2 #s(literal -2 binary64)))
(- (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(fma.f64 a (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)) (*.f64 b_2 #s(literal -2 binary64)))
(- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c c)) (*.f64 b_2 (*.f64 b_2 b_2)))) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)) (*.f64 b_2 #s(literal -2 binary64)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))))
(* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(*.f64 a (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 b_2 a))))
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(*.f64 a (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))))) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 b_2 a))))
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))))
(*.f64 a (fma.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))) (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 b_2 a))))))
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))
(* -1 (* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1)))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a)) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) b_2)) (-.f64 #s(literal 0 binary64) a)) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) 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 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 a c))))) (-.f64 #s(literal 0 binary64) a)) b_2) (-.f64 #s(literal 0 binary64) a)) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) a))
(* -2 b_2)
(*.f64 b_2 #s(literal -2 binary64))
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c a) b_2) (*.f64 b_2 #s(literal -2 binary64)))
(- (* c (- (* 1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(fma.f64 c (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 #s(literal 1/2 binary64) (/.f64 a b_2))) (*.f64 b_2 #s(literal -2 binary64)))
(- (* c (- (* c (- (* 1/16 (/ (* (pow a 3) c) (pow b_2 5))) (* -1/8 (/ (pow a 2) (pow b_2 3))))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(fma.f64 c (fma.f64 c (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (pow.f64 b_2 #s(literal 5 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 a a) (*.f64 b_2 (*.f64 b_2 b_2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 a b_2))) (*.f64 b_2 #s(literal -2 binary64)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))))
(* c (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(*.f64 c (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 b_2 c))))
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(*.f64 c (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 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)))))
(*.f64 c (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (pow.f64 b_2 #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 b_2 c)))))
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))
(* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1)))))
(*.f64 (-.f64 (/.f64 b_2 c) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(-.f64 #s(literal 0 binary64) (*.f64 c (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) b_2)) (-.f64 #s(literal 0 binary64) c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(-.f64 #s(literal 0 binary64) (*.f64 c (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (pow.f64 b_2 #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))))) (-.f64 #s(literal 0 binary64) c)) b_2) (-.f64 #s(literal 0 binary64) c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))))
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(fma.f64 (*.f64 b_2 b_2) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (*.f64 b_2 b_2)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
(fma.f64 (*.f64 b_2 b_2) (fma.f64 (*.f64 b_2 b_2) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))) (/.f64 (*.f64 b_2 b_2) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))))
b_2
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(*.f64 b_2 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 c a) (*.f64 b_2 b_2)) #s(literal 1 binary64)))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(fma.f64 b_2 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) (*.f64 b_2 b_2))) 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 b_2 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 c a) (*.f64 b_2 b_2)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 #s(literal 4 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1/16 binary64)))) b_2)
(* -1 b_2)
(-.f64 #s(literal 0 binary64) b_2)
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(*.f64 (-.f64 #s(literal 0 binary64) b_2) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 c a) (*.f64 b_2 b_2)) #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 #s(literal 0 binary64) (fma.f64 b_2 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) (*.f64 b_2 b_2))) b_2))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(-.f64 #s(literal 0 binary64) (fma.f64 b_2 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 c a) (*.f64 b_2 b_2)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 #s(literal 4 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1/16 binary64)))) b_2))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 c a) b_2) b_2)
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(fma.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 c b_2) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b_2 (*.f64 b_2 b_2)))) b_2)
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(fma.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 b_2 (*.f64 b_2 b_2)))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)) b_2)
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(*.f64 a (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(*.f64 a (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 a (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))) #s(literal -1/8 binary64) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #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)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(-.f64 #s(literal 0 binary64) (*.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 #s(literal 0 binary64) (*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2))) (*.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 #s(literal 0 binary64) (*.f64 a (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2))) (*.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 #s(literal 0 binary64) (*.f64 a (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 c a) b_2) b_2)
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(*.f64 c (-.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (*.f64 b_2 b_2) c)))
(* -1 (* c (- (/ (pow b_2 2) c) (* -1 a))))
(*.f64 c (-.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (*.f64 b_2 b_2) c)))
(* -1 (* c (- (/ (pow b_2 2) c) (* -1 a))))
(*.f64 c (-.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (*.f64 b_2 b_2) c)))
(* -1 (* a c))
(*.f64 c (-.f64 #s(literal 0 binary64) a))
(- (* -1 (pow b_2 2)) (* a c))
(neg.f64 (fma.f64 b_2 b_2 (*.f64 c a)))
(- (* -1 (pow b_2 2)) (* a c))
(neg.f64 (fma.f64 b_2 b_2 (*.f64 c a)))
(- (* -1 (pow b_2 2)) (* a c))
(neg.f64 (fma.f64 b_2 b_2 (*.f64 c a)))
(* -1 (pow b_2 2))
(-.f64 #s(literal 0 binary64) (*.f64 b_2 b_2))
(* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))
(*.f64 (*.f64 b_2 b_2) (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 c (*.f64 b_2 b_2)) #s(literal -1 binary64)))
(* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))
(*.f64 (*.f64 b_2 b_2) (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 c (*.f64 b_2 b_2)) #s(literal -1 binary64)))
(* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))
(*.f64 (*.f64 b_2 b_2) (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 c (*.f64 b_2 b_2)) #s(literal -1 binary64)))
(* -1 (pow b_2 2))
(-.f64 #s(literal 0 binary64) (*.f64 b_2 b_2))
(* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))
(*.f64 (*.f64 b_2 b_2) (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 c (*.f64 b_2 b_2)) #s(literal -1 binary64)))
(* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))
(*.f64 (*.f64 b_2 b_2) (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 c (*.f64 b_2 b_2)) #s(literal -1 binary64)))
(* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))
(*.f64 (*.f64 b_2 b_2) (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 c (*.f64 b_2 b_2)) #s(literal -1 binary64)))

eval614.0ms (5%)

Memory
-72.9MiB live, 700.1MiB allocated
Compiler

Compiled 85 390 to 6 886 computations (91.9% saved)

prune522.0ms (4.3%)

Memory
-0.8MiB live, 787.5MiB allocated
Pruning

30 alts after pruning (27 fresh and 3 done)

PrunedKeptTotal
New2 536192 555
Fresh4812
Picked325
Done011
Total2 543302 573
Accuracy
93.6%
Counts
2 573 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.0%
(fma.f64 c (/.f64 #s(literal 1/2 binary64) b_2) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
32.1%
(fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a))
25.7%
(/.f64 (fma.f64 b_2 b_2 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (*.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))
26.8%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 c)) a)) a)
31.4%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))))))
17.4%
(/.f64 (-.f64 (*.f64 b_2 a) (*.f64 a (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))) (*.f64 a a))
30.3%
(/.f64 (-.f64 (neg.f64 b_2) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))) a)
55.8%
(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))))))) a)
56.3%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
38.7%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)))) a)
26.3%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 b_2))) a)
27.6%
(/.f64 (*.f64 (fma.f64 a c #s(literal 0 binary64)) #s(literal -1/2 binary64)) (*.f64 a b_2))
25.4%
(/.f64 (*.f64 c (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) a)) a)
34.0%
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
27.4%
(/.f64 (*.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)) a)
14.1%
(/.f64 (*.f64 a (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 c))) #s(literal -1 binary64)))) a)
27.6%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b_2) (*.f64 (fma.f64 a c #s(literal 0 binary64)) #s(literal -1/2 binary64))))
32.1%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -1/2 binary64)) b_2))
30.7%
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))))))))
55.7%
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) b_2) a) (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))) a))
36.9%
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b_2) a) (*.f64 a a)) (/.f64 (*.f64 a (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))))) (*.f64 a a)))
29.9%
(*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 a b_2)) a)
25.5%
(*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) a) (/.f64 a b_2))
32.2%
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
31.4%
(*.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) a))
56.2%
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))))))
31.4%
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)))))
34.0%
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) (*.f64 a (/.f64 #s(literal 1 binary64) a)))
31.1%
(*.f64 b_2 (fma.f64 c (/.f64 #s(literal 1/2 binary64) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)))
32.2%
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
Compiler

Compiled 914 to 582 computations (36.3% saved)

simplify205.0ms (1.7%)

Memory
-17.5MiB live, 179.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))) a)
cost-diff0
(-.f64 #s(literal 0 binary64) b_2)
cost-diff0
(/.f64 (-.f64 #s(literal 0 binary64) b_2) a)
cost-diff704
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) b_2) a) (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))) a))
cost-diff0
(sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)))
cost-diff0
(-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))))
cost-diff0
(/.f64 #s(literal 1 binary64) a)
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)))))
cost-diff-64
(*.f64 c #s(literal -1/2 binary64))
cost-diff0
(/.f64 a b_2)
cost-diff0
(/.f64 (*.f64 c #s(literal -1/2 binary64)) a)
cost-diff1024
(*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) a) (/.f64 a b_2))
cost-diff-64
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
cost-diff0
(/.f64 b_2 a)
cost-diff0
(-.f64 #s(literal 0 binary64) b_2)
cost-diff0
(-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))))
cost-diff0
(/.f64 #s(literal 1 binary64) a)
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))))))
Rules
3 048×*-lowering-*.f32
3 048×*-lowering-*.f64
2 494×accelerator-lowering-fma.f32
2 494×accelerator-lowering-fma.f64
1 722×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
031196
178182
2190182
3441178
4842178
51604178
62909178
75447178
08216178
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (/ 1 a) (- (- 0 b_2) (sqrt (+ (* b_2 b_2) (- 0 (+ (* a c) 0))))))
(/ 1 a)
1
a
(- (- 0 b_2) (sqrt (+ (* b_2 b_2) (- 0 (+ (* a c) 0)))))
(- 0 b_2)
0
b_2
(sqrt (+ (* b_2 b_2) (- 0 (+ (* a c) 0))))
(+ (* b_2 b_2) (- 0 (+ (* a c) 0)))
(- 0 (+ (* a c) 0))
(+ (* a c) 0)
c
(* (/ b_2 a) -2)
(/ b_2 a)
b_2
a
-2
(* (/ (* c -1/2) a) (/ a b_2))
(/ (* c -1/2) a)
(* c -1/2)
c
-1/2
a
(/ a b_2)
b_2
(* (/ 1 a) (- b_2 (sqrt (- 0 (* c a)))))
(/ 1 a)
1
a
(- b_2 (sqrt (- 0 (* c a))))
b_2
(sqrt (- 0 (* c a)))
(- 0 (* c a))
0
(* c a)
c
(- (/ (- 0 b_2) a) (/ (sqrt (+ (* b_2 b_2) (- 0 (+ (* a c) 0)))) a))
(/ (- 0 b_2) a)
(- 0 b_2)
0
b_2
a
(/ (sqrt (+ (* b_2 b_2) (- 0 (+ (* a c) 0)))) a)
(sqrt (+ (* b_2 b_2) (- 0 (+ (* a c) 0))))
(+ (* b_2 b_2) (- 0 (+ (* a c) 0)))
(- 0 (+ (* a c) 0))
(+ (* a c) 0)
c
Outputs
(* (/ 1 a) (- (- 0 b_2) (sqrt (+ (* b_2 b_2) (- 0 (+ (* a c) 0))))))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 a c #s(literal 0 binary64))))) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
1
#s(literal 1 binary64)
a
(- (- 0 b_2) (sqrt (+ (* b_2 b_2) (- 0 (+ (* a c) 0)))))
(-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 a c #s(literal 0 binary64)))))
(- 0 b_2)
(-.f64 #s(literal 0 binary64) b_2)
0
#s(literal 0 binary64)
b_2
(sqrt (+ (* b_2 b_2) (- 0 (+ (* a c) 0))))
(sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 a c #s(literal 0 binary64))))
(+ (* b_2 b_2) (- 0 (+ (* a c) 0)))
(-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 a c #s(literal 0 binary64)))
(- 0 (+ (* a c) 0))
(-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))
(+ (* a c) 0)
(fma.f64 a c #s(literal 0 binary64))
c
(* (/ b_2 a) -2)
(fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) #s(literal 0 binary64))
(/ b_2 a)
(/.f64 b_2 a)
b_2
a
-2
#s(literal -2 binary64)
(* (/ (* c -1/2) a) (/ a b_2))
(fma.f64 c (/.f64 #s(literal -1/2 binary64) b_2) #s(literal 0 binary64))
(/ (* c -1/2) a)
(/.f64 (fma.f64 c #s(literal -1/2 binary64) #s(literal 0 binary64)) a)
(* c -1/2)
(fma.f64 c #s(literal -1/2 binary64) #s(literal 0 binary64))
c
-1/2
#s(literal -1/2 binary64)
a
(/ a b_2)
(/.f64 a b_2)
b_2
(* (/ 1 a) (- b_2 (sqrt (- 0 (* c a)))))
(/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
1
#s(literal 1 binary64)
a
(- b_2 (sqrt (- 0 (* c a))))
(-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))))
b_2
(sqrt (- 0 (* c a)))
(sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))
(- 0 (* c a))
(-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))
0
#s(literal 0 binary64)
(* c a)
(fma.f64 a c #s(literal 0 binary64))
c
(- (/ (- 0 b_2) a) (/ (sqrt (+ (* b_2 b_2) (- 0 (+ (* a c) 0)))) a))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 a c #s(literal 0 binary64))))) a)
(/ (- 0 b_2) a)
(/.f64 b_2 (-.f64 #s(literal 0 binary64) a))
(- 0 b_2)
(-.f64 #s(literal 0 binary64) b_2)
0
#s(literal 0 binary64)
b_2
a
(/ (sqrt (+ (* b_2 b_2) (- 0 (+ (* a c) 0)))) a)
(/.f64 (sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 a c #s(literal 0 binary64)))) a)
(sqrt (+ (* b_2 b_2) (- 0 (+ (* a c) 0))))
(sqrt.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 a c #s(literal 0 binary64))))
(+ (* b_2 b_2) (- 0 (+ (* a c) 0)))
(-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 a c #s(literal 0 binary64)))
(- 0 (+ (* a c) 0))
(-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))
(+ (* a c) 0)
(fma.f64 a c #s(literal 0 binary64))
c

localize160.0ms (1.3%)

Memory
28.4MiB live, 256.6MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 #s(literal 0 binary64) b_2)
accuracy99.9%
(/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))) a)
accuracy86.8%
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) b_2) a) (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))) a))
accuracy77.5%
(sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))))
accuracy100.0%
(-.f64 #s(literal 0 binary64) (*.f64 c a))
accuracy100.0%
(*.f64 c a)
accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)))))
accuracy84.7%
(sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)))
accuracy100.0%
(/.f64 (*.f64 c #s(literal -1/2 binary64)) a)
accuracy100.0%
(/.f64 a b_2)
accuracy100.0%
(*.f64 c #s(literal -1/2 binary64))
accuracy86.1%
(*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) a) (/.f64 a b_2))
accuracy100.0%
(/.f64 b_2 a)
accuracy100.0%
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
accuracy100.0%
(-.f64 #s(literal 0 binary64) b_2)
accuracy96.8%
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))))))
accuracy90.8%
(-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))))
accuracy77.5%
(sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))))
Samples
40.0ms136×0valid
30.0ms23×2valid
18.0ms21×1valid
17.0ms76×0invalid
Compiler

Compiled 222 to 33 computations (85.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 72.0ms
ival-mult: 41.0ms (57.3% of total)
ival-div: 12.0ms (16.8% of total)
ival-sub: 8.0ms (11.2% of total)
ival-sqrt: 4.0ms (5.6% of total)
ival-add: 3.0ms (4.2% of total)
adjust: 2.0ms (2.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series29.0ms (0.2%)

Memory
1.0MiB live, 77.1MiB allocated
Counts
19 → 516
Calls
Call 1
Inputs
#<alt (* (/ 1 a) (- (- 0 b_2) (sqrt (+ (* b_2 b_2) (- 0 (+ (* a c) 0))))))>
#<alt (/ 1 a)>
#<alt (- (- 0 b_2) (sqrt (+ (* b_2 b_2) (- 0 (+ (* a c) 0)))))>
#<alt (- 0 b_2)>
#<alt (/ b_2 a)>
#<alt (* (/ b_2 a) -2)>
#<alt (* (/ (* c -1/2) a) (/ a b_2))>
#<alt (/ (* c -1/2) a)>
#<alt (/ a b_2)>
#<alt (* c -1/2)>
#<alt (* (/ 1 a) (- b_2 (sqrt (- 0 (* c a)))))>
#<alt (- b_2 (sqrt (- 0 (* c a))))>
#<alt (sqrt (- 0 (* c a)))>
#<alt (- (/ (- 0 b_2) a) (/ (sqrt (+ (* b_2 b_2) (- 0 (+ (* a c) 0)))) a))>
#<alt (/ (- 0 b_2) a)>
#<alt (/ (sqrt (+ (* b_2 b_2) (- 0 (+ (* a c) 0)))) a)>
#<alt (sqrt (+ (* b_2 b_2) (- 0 (+ (* a c) 0))))>
#<alt (* c a)>
#<alt (- 0 (* c a))>
Outputs
#<alt (* -2 (/ b_2 a))>
#<alt (/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)>
#<alt (/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)>
#<alt (/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a)>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ b_2 (* -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))) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))))>
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#<alt (* -1 (/ (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/2 c)) b_2))>
#<alt (* -1 (/ (- (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))))) b_2))>
#<alt (* -1 (/ (- (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2))>
#<alt (/ (- (* -1 b_2) b_2) a)>
#<alt (/ (- (+ (* -1 b_2) (* 1/2 (/ (* a c) b_2))) b_2) a)>
#<alt (/ (- (+ (* -1 b_2) (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2))))) b_2) a)>
#<alt (/ (- (+ (* -1 b_2) (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2))))) b_2) a)>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (- (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (- (+ (* -1 (/ b_2 a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (- (* -1 (/ b_2 a)) (* -1 (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (- (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* -1 (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (- (* -1 (/ (+ b_2 (* -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))) a)) (* -1 (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (- (* -1 (/ b_2 a)) (/ b_2 a))>
#<alt (- (+ (* -1 (/ b_2 a)) (* 1/2 (/ c b_2))) (/ b_2 a))>
#<alt (- (+ (* -1 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))) (/ b_2 a))>
#<alt (- (+ (* -1 (/ b_2 a)) (* c (+ (* c (- (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* -1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2))))) (/ b_2 a))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* c (- (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* c (- (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1))))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* c (- (+ (* -1 (/ b_2 (* a c))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* -1 (* c (- (/ b_2 (* a c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (- (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (- (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* (sqrt (/ c a)) (sqrt -1)) (* (pow b_2 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)))))))>
#<alt (+ (* (sqrt (/ c a)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))>
#<alt (/ b_2 a)>
#<alt (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (/ 1 a)))>
#<alt (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (/ 1 a))))>
#<alt (* 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)))))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (/ 1 a))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (/ 1 a)))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (/ 1 a))))))>
#<alt (/ b_2 a)>
#<alt (/ (+ b_2 (* -1/2 (/ (* a c) b_2))) a)>
#<alt (/ (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))) a)>
#<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)))))))) a)>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))))>
#<alt (+ (* -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))))))>
#<alt (+ (* -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)))))))>
#<alt (/ b_2 a)>
#<alt (+ (* -1/2 (/ c b_2)) (/ b_2 a))>
#<alt (+ (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))) (/ b_2 a))>
#<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)))) (/ b_2 a))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))>
#<alt (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))>
#<alt b_2>
#<alt (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))>
#<alt (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))>
#<alt (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))>
#<alt (* -1 b_2)>
#<alt (* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))>
#<alt (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))>
#<alt b_2>
#<alt (+ b_2 (* -1/2 (/ (* a c) b_2)))>
#<alt (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))>
#<alt (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))>
#<alt b_2>
#<alt (+ b_2 (* -1/2 (/ (* a c) b_2)))>
#<alt (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))>
#<alt (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
Calls

129 calls:

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

rewrite688.0ms (5.6%)

Memory
9.7MiB live, 895.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
7 430×accelerator-lowering-fma.f32
7 430×accelerator-lowering-fma.f64
3 814×/-lowering-/.f32
3 814×/-lowering-/.f64
3 388×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031129
1219118
22032109
0905799
Stop Event
iter limit
node limit
Counts
19 → 1 860
Calls
Call 1
Inputs
(* (/ 1 a) (- (- 0 b_2) (sqrt (+ (* b_2 b_2) (- 0 (+ (* a c) 0))))))
(/ 1 a)
(- (- 0 b_2) (sqrt (+ (* b_2 b_2) (- 0 (+ (* a c) 0)))))
(- 0 b_2)
(/ b_2 a)
(* (/ b_2 a) -2)
(* (/ (* c -1/2) a) (/ a b_2))
(/ (* c -1/2) a)
(/ a b_2)
(* c -1/2)
(* (/ 1 a) (- b_2 (sqrt (- 0 (* c a)))))
(- b_2 (sqrt (- 0 (* c a))))
(sqrt (- 0 (* c a)))
(- (/ (- 0 b_2) a) (/ (sqrt (+ (* b_2 b_2) (- 0 (+ (* a c) 0)))) a))
(/ (- 0 b_2) a)
(/ (sqrt (+ (* b_2 b_2) (- 0 (+ (* a c) 0)))) a)
(sqrt (+ (* b_2 b_2) (- 0 (+ (* a c) 0))))
(* c a)
(- 0 (* c a))
Outputs
(+.f64 (/.f64 b_2 a) (/.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) a)))
(+.f64 (/.f64 b_2 a) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(+.f64 (/.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) a)) (/.f64 b_2 a))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) a)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) a))
(-.f64 (/.f64 b_2 a) (/.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) a))
(-.f64 (/.f64 (*.f64 a b_2) (*.f64 a a)) (/.f64 (*.f64 a (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (*.f64 a a)))
(-.f64 (/.f64 (/.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 a (*.f64 a a))) (+.f64 (+.f64 (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a a)) (/.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 a a))) (/.f64 (*.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (*.f64 a a)))) (/.f64 (/.f64 (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (*.f64 a (*.f64 a a))) (+.f64 (+.f64 (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a a)) (/.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 a a))) (/.f64 (*.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (*.f64 a a)))))
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(-.f64 (/.f64 (*.f64 b_2 (/.f64 a (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (*.f64 a (/.f64 a (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))) (/.f64 a (*.f64 a (/.f64 a (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))
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(-.f64 (/.f64 (*.f64 b_2 (/.f64 a (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 a (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 a (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))
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(fma.f64 #s(literal 1 binary64) (/.f64 b_2 a) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) a) b_2 (/.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) a)))
(fma.f64 (/.f64 #s(literal 1 binary64) a) b_2 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(fma.f64 b_2 (/.f64 #s(literal 1 binary64) a) (/.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) a)))
(fma.f64 b_2 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(fma.f64 b_2 (/.f64 #s(literal -1 binary64) a) (/.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) a)))
(fma.f64 b_2 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) a) b_2) (/.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) a)))
(fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) a) b_2) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(fma.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 b_2 a))
(fma.f64 (/.f64 b_2 a) #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) a)))
(fma.f64 (/.f64 b_2 a) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(fma.f64 (/.f64 b_2 a) (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64))) (/.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) a)))
(fma.f64 (/.f64 b_2 a) (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) a) (/.f64 b_2 a))
(fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b_2)) (/.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) a)))
(fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b_2)) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) a) (/.f64 b_2 a))
(fma.f64 (/.f64 b_2 #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) a) (/.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) a)))
(fma.f64 (/.f64 b_2 #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(fma.f64 (/.f64 #s(literal -1 binary64) a) b_2 (/.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) a)))
(fma.f64 (/.f64 #s(literal -1 binary64) a) b_2 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(fma.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b_2 #s(literal 1 binary64)) (/.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) a)))
(fma.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b_2 #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(fma.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) #s(literal 1 binary64)) (/.f64 b_2 a))
(fma.f64 (*.f64 b_2 #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) a) (/.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) a)))
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(fma.f64 (pow.f64 (/.f64 a (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 #s(literal 0 binary64))) (/.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) a)))
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(fma.f64 (pow.f64 (/.f64 a (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) b_2) (/.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) a)))
(fma.f64 (pow.f64 (/.f64 a (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) b_2) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(fma.f64 (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) a) b_2) (/.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) a)))
(fma.f64 (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) a) b_2) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(fma.f64 (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) b_2) a) (/.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) a)))
(fma.f64 (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) b_2) a) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(fma.f64 (/.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) a) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) a)))
(fma.f64 (/.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) a) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(fma.f64 (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) a) (/.f64 #s(literal 1 binary64) b_2) (/.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) a)))
(fma.f64 (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) a) (/.f64 #s(literal 1 binary64) b_2) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(fma.f64 (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) a) (/.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (/.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) a)))
(fma.f64 (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) a) (/.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(fma.f64 (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) a) (/.f64 (/.f64 #s(literal 1 binary64) b_2) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) a)))
(fma.f64 (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) a) (/.f64 (/.f64 #s(literal 1 binary64) b_2) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(fma.f64 (/.f64 (pow.f64 b_2 #s(literal 3/2 binary64)) a) (/.f64 (pow.f64 b_2 #s(literal 3/2 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64))) (/.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) a)))
(fma.f64 (/.f64 (pow.f64 b_2 #s(literal 3/2 binary64)) a) (/.f64 (pow.f64 b_2 #s(literal 3/2 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) b_2 (/.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) a)))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) b_2 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
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(fma.f64 (/.f64 (pow.f64 b_2 #s(literal 3/2 binary64)) b_2) (/.f64 (pow.f64 b_2 #s(literal 3/2 binary64)) b_2) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(neg.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (-.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (-.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(/.f64 (-.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (fma.f64 b_2 b_2 (fma.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(/.f64 (-.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (fma.f64 b_2 b_2 (-.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 b_2 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))))
(/.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(/.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (-.f64 b_2 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))) (fma.f64 b_2 b_2 (fma.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))) (neg.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))) (neg.f64 (fma.f64 b_2 b_2 (-.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 b_2 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))))
(/.f64 (neg.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (-.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(/.f64 (neg.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (neg.f64 (-.f64 b_2 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (*.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))) (+.f64 #s(literal 0 binary64) (fma.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (*.f64 #s(literal 0 binary64) (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))) (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))) (neg.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (-.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))) (neg.f64 (neg.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (neg.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (*.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (*.f64 #s(literal 0 binary64) (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))) (-.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (-.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (*.f64 #s(literal 0 binary64) (-.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))))
(/.f64 (fma.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (+.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) b_2))))
(/.f64 (+.f64 (pow.f64 (*.f64 b_2 #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 b_2 #s(literal 1 binary64)) (*.f64 b_2 #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) #s(literal 1 binary64))) (*.f64 (*.f64 b_2 #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) b_2) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) b_2) (*.f64 #s(literal 1 binary64) b_2) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))) (*.f64 (*.f64 #s(literal 1 binary64) b_2) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 b_2 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 b_2 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (-.f64 b_2 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (*.f64 #s(literal 0 binary64) (-.f64 b_2 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 b_2 b_2 (fma.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (fma.f64 b_2 b_2 (fma.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 b_2 b_2 (fma.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (/.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 b_2 b_2 (fma.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (fma.f64 (/.f64 (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (fma.f64 b_2 b_2 (fma.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (/.f64 (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (fma.f64 b_2 b_2 (fma.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (*.f64 (/.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 b_2 b_2 (fma.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (/.f64 (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (fma.f64 b_2 b_2 (fma.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (-.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (-.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (-.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (fma.f64 (/.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (/.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (*.f64 (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (-.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (/.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))))
(pow.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (-.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(*.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (fma.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(*.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
b_2
(+.f64 #s(literal 0 binary64) b_2)
(+.f64 b_2 #s(literal 0 binary64))
(exp.f64 (*.f64 (log.f64 b_2) #s(literal 1 binary64)))
(exp.f64 (-.f64 (*.f64 (log.f64 b_2) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 b_2))))
(-.f64 #s(literal 0 binary64) b_2)
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 #s(literal 0 binary64))) b_2)
(-.f64 (/.f64 #s(literal 0 binary64) b_2) b_2)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)))) b_2)
(fma.f64 b_2 (/.f64 b_2 b_2) #s(literal 0 binary64))
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(-.f64 (/.f64 (*.f64 b_2 (/.f64 a (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 a (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 a (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))
(-.f64 (/.f64 (*.f64 a b_2) (*.f64 (-.f64 #s(literal 0 binary64) a) a)) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) a) a)))
(-.f64 (/.f64 (*.f64 b_2 (-.f64 #s(literal 0 binary64) a)) (*.f64 a a)) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (*.f64 a a)))
(-.f64 (/.f64 (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a a)) (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) a)) (/.f64 (/.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 a a)) (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) a)))
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(fma.f64 #s(literal 1 binary64) (/.f64 b_2 a) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) a) b_2 (/.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) a)))
(fma.f64 (/.f64 #s(literal 1 binary64) a) b_2 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(fma.f64 b_2 (/.f64 #s(literal 1 binary64) a) (/.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) a)))
(fma.f64 b_2 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(fma.f64 b_2 (/.f64 #s(literal -1 binary64) a) (/.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) a)))
(fma.f64 b_2 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) a) b_2) (/.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) a)))
(fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) a) b_2) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(fma.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 b_2 a))
(fma.f64 (/.f64 b_2 a) #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) a)))
(fma.f64 (/.f64 b_2 a) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(fma.f64 (/.f64 b_2 a) (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64))) (/.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) a)))
(fma.f64 (/.f64 b_2 a) (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) a) (/.f64 b_2 a))
(fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b_2)) (/.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) a)))
(fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b_2)) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) a) (/.f64 b_2 a))
(fma.f64 (/.f64 b_2 #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) a) (/.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) a)))
(fma.f64 (/.f64 b_2 #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(fma.f64 (/.f64 #s(literal -1 binary64) a) b_2 (/.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) a)))
(fma.f64 (/.f64 #s(literal -1 binary64) a) b_2 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(fma.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b_2 #s(literal 1 binary64)) (/.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) a)))
(fma.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b_2 #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(fma.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) #s(literal 1 binary64)) (/.f64 b_2 a))
(fma.f64 (*.f64 b_2 #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) a) (/.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) a)))
(fma.f64 (*.f64 b_2 #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(fma.f64 (pow.f64 (/.f64 a (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 #s(literal 0 binary64))) (/.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) a)))
(fma.f64 (pow.f64 (/.f64 a (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(fma.f64 (pow.f64 (/.f64 a (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) b_2) (/.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) a)))
(fma.f64 (pow.f64 (/.f64 a (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) b_2) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(fma.f64 (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) a) b_2) (/.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) a)))
(fma.f64 (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) a) b_2) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(fma.f64 (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) b_2) a) (/.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) a)))
(fma.f64 (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) b_2) a) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(fma.f64 (/.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) a) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) a)))
(fma.f64 (/.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) a) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(fma.f64 (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) a) (/.f64 #s(literal 1 binary64) b_2) (/.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) a)))
(fma.f64 (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) a) (/.f64 #s(literal 1 binary64) b_2) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(fma.f64 (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) a) (/.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (/.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) a)))
(fma.f64 (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) a) (/.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(fma.f64 (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) a) (/.f64 (/.f64 #s(literal 1 binary64) b_2) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) a)))
(fma.f64 (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) a) (/.f64 (/.f64 #s(literal 1 binary64) b_2) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(fma.f64 (/.f64 (pow.f64 b_2 #s(literal 3/2 binary64)) a) (/.f64 (pow.f64 b_2 #s(literal 3/2 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64))) (/.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) a)))
(fma.f64 (/.f64 (pow.f64 b_2 #s(literal 3/2 binary64)) a) (/.f64 (pow.f64 b_2 #s(literal 3/2 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) b_2 (/.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) a)))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) b_2 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(fma.f64 (/.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) b_2)) (/.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) a)))
(fma.f64 (/.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) b_2)) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(fma.f64 (/.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 #s(literal 0 binary64))) a) (/.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) a)))
(fma.f64 (/.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 #s(literal 0 binary64))) a) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(fma.f64 (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) a)) (/.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (/.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) a)))
(fma.f64 (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) a)) (/.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(fma.f64 (/.f64 (pow.f64 b_2 #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) a)) (/.f64 (pow.f64 b_2 #s(literal 3/2 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64))) (/.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) a)))
(fma.f64 (/.f64 (pow.f64 b_2 #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) a)) (/.f64 (pow.f64 b_2 #s(literal 3/2 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(fma.f64 (/.f64 (pow.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal 1/4 binary64)) a) (/.f64 b_2 a))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) (-.f64 (*.f64 a b_2) (*.f64 a (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a a)) (/.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 a a))) (/.f64 (*.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (*.f64 a a))) (/.f64 (-.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (*.f64 a (*.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) a)) (/.f64 (-.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (*.f64 a a))))
(/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) a)
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(*.f64 (/.f64 a (/.f64 (fma.f64 a (*.f64 c (fma.f64 a c #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 a (*.f64 c (fma.f64 a c #s(literal 0 binary64))) #s(literal 0 binary64)))) (/.f64 (*.f64 c (fma.f64 a c #s(literal 0 binary64))) (fma.f64 a c #s(literal 0 binary64))))
(*.f64 (/.f64 c (sqrt.f64 (fma.f64 a c #s(literal 0 binary64)))) (/.f64 (*.f64 a (fma.f64 a c #s(literal 0 binary64))) (sqrt.f64 (fma.f64 a c #s(literal 0 binary64)))))
(*.f64 (/.f64 c (-.f64 #s(literal 0 binary64) a)) (/.f64 (*.f64 a (fma.f64 a c #s(literal 0 binary64))) c))
(*.f64 (/.f64 c (-.f64 #s(literal 0 binary64) c)) (/.f64 (*.f64 a (fma.f64 a c #s(literal 0 binary64))) a))
(*.f64 (/.f64 c (/.f64 (fma.f64 a (*.f64 c (fma.f64 a c #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 a (*.f64 c (fma.f64 a c #s(literal 0 binary64))) #s(literal 0 binary64)))) (/.f64 (*.f64 a (fma.f64 a c #s(literal 0 binary64))) (fma.f64 a c #s(literal 0 binary64))))
(*.f64 (/.f64 (fma.f64 a c #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) c)) (/.f64 (fma.f64 a c #s(literal 0 binary64)) a))
(*.f64 (/.f64 (fma.f64 a c #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) a)) (/.f64 (fma.f64 a c #s(literal 0 binary64)) c))
(*.f64 (/.f64 (fma.f64 a c #s(literal 0 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 a c #s(literal 0 binary64))))
(*.f64 (/.f64 (fma.f64 a c #s(literal 0 binary64)) (/.f64 (fma.f64 a (*.f64 c (fma.f64 a c #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 a (*.f64 c (fma.f64 a c #s(literal 0 binary64))) #s(literal 0 binary64)))) (/.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 a c #s(literal 0 binary64))))
(*.f64 (/.f64 (*.f64 c c) (-.f64 #s(literal 0 binary64) c)) (/.f64 (*.f64 a a) a))
(*.f64 (/.f64 (*.f64 c c) (-.f64 #s(literal 0 binary64) a)) (/.f64 (*.f64 a a) c))
(*.f64 (/.f64 (*.f64 a a) (sqrt.f64 (fma.f64 a c #s(literal 0 binary64)))) (/.f64 (*.f64 c c) (sqrt.f64 (fma.f64 a c #s(literal 0 binary64)))))
(*.f64 (/.f64 (*.f64 c c) (sqrt.f64 (fma.f64 a c #s(literal 0 binary64)))) (/.f64 (*.f64 a a) (sqrt.f64 (fma.f64 a c #s(literal 0 binary64)))))
(*.f64 (/.f64 (*.f64 a a) #s(literal -1 binary64)) (/.f64 (*.f64 c c) (fma.f64 a c #s(literal 0 binary64))))
(*.f64 (/.f64 (*.f64 a a) (-.f64 #s(literal 0 binary64) a)) (/.f64 (*.f64 c c) c))
(*.f64 (/.f64 (*.f64 a a) (-.f64 #s(literal 0 binary64) c)) (/.f64 (*.f64 c c) a))
(*.f64 (/.f64 (*.f64 a a) (/.f64 (fma.f64 a (*.f64 c (fma.f64 a c #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 a (*.f64 c (fma.f64 a c #s(literal 0 binary64))) #s(literal 0 binary64)))) (/.f64 (*.f64 c c) (fma.f64 a c #s(literal 0 binary64))))
(*.f64 (/.f64 (*.f64 c c) #s(literal -1 binary64)) (/.f64 (*.f64 a a) (fma.f64 a c #s(literal 0 binary64))))
(*.f64 (/.f64 (*.f64 c c) (/.f64 (fma.f64 a (*.f64 c (fma.f64 a c #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 a (*.f64 c (fma.f64 a c #s(literal 0 binary64))) #s(literal 0 binary64)))) (/.f64 (*.f64 a a) (fma.f64 a c #s(literal 0 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 a c #s(literal 0 binary64)) a) (sqrt.f64 (fma.f64 a c #s(literal 0 binary64)))) (/.f64 c (sqrt.f64 (fma.f64 a c #s(literal 0 binary64)))))
(*.f64 (/.f64 (*.f64 (fma.f64 a c #s(literal 0 binary64)) a) #s(literal -1 binary64)) (/.f64 c (fma.f64 a c #s(literal 0 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 a c #s(literal 0 binary64)) a) (-.f64 #s(literal 0 binary64) a)) (/.f64 c c))
(*.f64 (/.f64 (*.f64 (fma.f64 a c #s(literal 0 binary64)) a) (-.f64 #s(literal 0 binary64) c)) (/.f64 c a))
(*.f64 (/.f64 (*.f64 (fma.f64 a c #s(literal 0 binary64)) a) (/.f64 #s(literal 1 binary64) (fma.f64 a c #s(literal 0 binary64)))) (/.f64 c (fma.f64 a (*.f64 c (fma.f64 a c #s(literal 0 binary64))) #s(literal 0 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 a c #s(literal 0 binary64)) a) (/.f64 (fma.f64 a (*.f64 c (fma.f64 a c #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 a (*.f64 c (fma.f64 a c #s(literal 0 binary64))) #s(literal 0 binary64)))) (/.f64 c (fma.f64 a c #s(literal 0 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 a c #s(literal 0 binary64)) c) (sqrt.f64 (fma.f64 a c #s(literal 0 binary64)))) (/.f64 a (sqrt.f64 (fma.f64 a c #s(literal 0 binary64)))))
(*.f64 (/.f64 (*.f64 (fma.f64 a c #s(literal 0 binary64)) c) #s(literal -1 binary64)) (/.f64 a (fma.f64 a c #s(literal 0 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 a c #s(literal 0 binary64)) c) (-.f64 #s(literal 0 binary64) a)) (/.f64 a c))
(*.f64 (/.f64 (*.f64 (fma.f64 a c #s(literal 0 binary64)) c) (-.f64 #s(literal 0 binary64) c)) (/.f64 a a))
(*.f64 (/.f64 (*.f64 (fma.f64 a c #s(literal 0 binary64)) c) (/.f64 #s(literal 1 binary64) (fma.f64 a c #s(literal 0 binary64)))) (/.f64 a (fma.f64 a (*.f64 c (fma.f64 a c #s(literal 0 binary64))) #s(literal 0 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 a c #s(literal 0 binary64)) c) (/.f64 (fma.f64 a (*.f64 c (fma.f64 a c #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 a (*.f64 c (fma.f64 a c #s(literal 0 binary64))) #s(literal 0 binary64)))) (/.f64 a (fma.f64 a c #s(literal 0 binary64))))

simplify611.0ms (5%)

Memory
-29.7MiB live, 1 182.9MiB allocated
Algorithm
egg-herbie
Rules
14 688×accelerator-lowering-fma.f32
14 688×accelerator-lowering-fma.f64
8 168×*-lowering-*.f32
8 168×*-lowering-*.f64
3 568×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06986667
122526617
272316575
083376341
Stop Event
iter limit
node limit
Counts
516 → 516
Calls
Call 1
Inputs
(* -2 (/ b_2 a))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) 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 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -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))) 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))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a))))
(* -2 (/ b_2 a))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 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 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 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))))))) b_2))
(* -2 (/ b_2 a))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))))
(+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c)))))
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(* -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)))
(* -2 b_2)
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))
(* b_2 (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* b_2 (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1/2 (/ (* a c) b_2))
(* -1 (/ (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/2 (* a c))) b_2))
(* -1 (/ (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))))) b_2))
(* -1 (/ (- (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -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))
(* -2 b_2)
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(- (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(* -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))
(* -1 (* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1)))))
(* -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)))))
(* -2 b_2)
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(- (* c (- (* 1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(- (* c (- (* c (- (* 1/16 (/ (* (pow a 3) c) (pow b_2 5))) (* -1/8 (/ (pow a 2) (pow b_2 3))))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(* -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))
(* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1)))))
(* -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 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -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))
(* -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))
(* -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))
(* -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))
(* -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))
(* -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))
(* -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))
(* -1/2 (/ c b_2))
(* -1/2 (/ c a))
(* -1/2 (/ c a))
(* -1/2 (/ c a))
(* -1/2 (/ c a))
(* -1/2 (/ c a))
(* -1/2 (/ c a))
(* -1/2 (/ c a))
(* -1/2 (/ c a))
(* -1/2 (/ c a))
(* -1/2 (/ c a))
(* -1/2 (/ c a))
(* -1/2 (/ c a))
(* -1/2 (/ c a))
(* -1/2 (/ c a))
(* -1/2 (/ c a))
(* -1/2 (/ c a))
(* -1/2 (/ c a))
(* -1/2 (/ c a))
(* -1/2 (/ c a))
(* -1/2 (/ c a))
(* -1/2 (/ c a))
(* -1/2 (/ c a))
(* -1/2 (/ c a))
(* -1/2 (/ c a))
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(/ (- b_2 (* (sqrt (* a c)) (sqrt -1))) a)
(/ (- b_2 (* (sqrt (* a c)) (sqrt -1))) a)
(/ (- b_2 (* (sqrt (* a c)) (sqrt -1))) a)
(/ (- b_2 (* (sqrt (* a c)) (sqrt -1))) a)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))
(+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))
(+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))
(/ b_2 a)
(* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a)))
(* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a)))
(* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a)))
(/ b_2 a)
(* -1 (* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a))))
(* -1 (* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a))))
(* -1 (* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a))))
(/ (- b_2 (* (sqrt (* a c)) (sqrt -1))) a)
(/ (- b_2 (* (sqrt (* a c)) (sqrt -1))) a)
(/ (- b_2 (* (sqrt (* a c)) (sqrt -1))) a)
(/ (- b_2 (* (sqrt (* a c)) (sqrt -1))) a)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(- b_2 (* (sqrt (* a c)) (sqrt -1)))
(- b_2 (* (sqrt (* a c)) (sqrt -1)))
(- b_2 (* (sqrt (* a c)) (sqrt -1)))
b_2
(* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2)))))
(* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2)))))
(* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2)))))
b_2
(* -1 (* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1)))
(* -1 (* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1)))
(* -1 (* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1)))
(- b_2 (* (sqrt (* a c)) (sqrt -1)))
(- b_2 (* (sqrt (* a c)) (sqrt -1)))
(- b_2 (* (sqrt (* a c)) (sqrt -1)))
(- b_2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1))))
(* (sqrt (* a c)) (sqrt -1))
(* -1 (* c (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))))
(- b_2 (* (sqrt (* a c)) (sqrt -1)))
(- b_2 (* (sqrt (* a c)) (sqrt -1)))
(- b_2 (* (sqrt (* a c)) (sqrt -1)))
(- b_2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1))))
(* (sqrt (* a c)) (sqrt -1))
(* -1 (* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -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)))
(* -2 (/ b_2 a))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* b_2 (- (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 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 (/ (- (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))))) b_2))
(* -1 (/ (- (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -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 b_2) b_2) a)
(/ (- (+ (* -1 b_2) (* 1/2 (/ (* a c) b_2))) b_2) a)
(/ (- (+ (* -1 b_2) (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2))))) b_2) a)
(/ (- (+ (* -1 b_2) (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2))))) b_2) a)
(* -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)) (* -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 (/ (- (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* -1 (* (sqrt (/ c a)) (sqrt -1))))
(- (* -1 (/ b_2 a)) (/ b_2 a))
(- (+ (* -1 (/ b_2 a)) (* 1/2 (/ c b_2))) (/ b_2 a))
(- (+ (* -1 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))) (/ b_2 a))
(- (+ (* -1 (/ b_2 a)) (* c (+ (* c (- (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* -1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2))))) (/ b_2 a))
(* -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 (/ c a)) (sqrt -1))
(* -1 (* c (- (/ b_2 (* a c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -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 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* (sqrt (/ c a)) (sqrt -1)) (* (pow b_2 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)))))))
(+ (* (sqrt (/ c a)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
(/ b_2 a)
(* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (/ 1 a)))
(* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (/ 1 a))))
(* 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 (/ b_2 a))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (/ 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 (* 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))))))
(/ 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)))))))) a)
(* (sqrt (/ c a)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -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 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))))
(+ (* -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))))))
(+ (* -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)))))))
(/ b_2 a)
(+ (* -1/2 (/ c b_2)) (/ b_2 a))
(+ (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))) (/ b_2 a))
(+ (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2)))) (/ b_2 a))
(* (sqrt (/ c a)) (sqrt -1))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1/8 (* (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)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 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 (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 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))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
b_2
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))
(* -1 b_2)
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
Outputs
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/.f64 (fma.f64 #s(literal -2 binary64) b_2 (/.f64 (*.f64 a (*.f64 #s(literal 1/2 binary64) c)) b_2)) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)
(/.f64 (fma.f64 a (/.f64 (fma.f64 a (*.f64 (*.f64 c (/.f64 c (*.f64 b_2 b_2))) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/2 binary64) c)) b_2) (*.f64 #s(literal -2 binary64) b_2)) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a)
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(+ (* -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))))))
(-.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 c (pow.f64 a #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (*.f64 b_2 (*.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -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)))))))
(-.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 c (pow.f64 a #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 b_2 (*.f64 b_2 (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1/16 binary64))))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(/ b_2 a)
(/.f64 b_2 a)
(+ (* -1/2 (/ c b_2)) (/ b_2 a))
(fma.f64 c (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 b_2 a))
(+ (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))) (/ b_2 a))
(fma.f64 c (fma.f64 c (*.f64 #s(literal -1/8 binary64) (/.f64 a (*.f64 b_2 (*.f64 b_2 b_2)))) (/.f64 #s(literal -1/2 binary64) b_2)) (/.f64 b_2 a))
(+ (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2)))) (/ b_2 a))
(fma.f64 c (fma.f64 c (fma.f64 (*.f64 a a) (*.f64 (/.f64 c (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64)) (*.f64 #s(literal -1/8 binary64) (/.f64 a (*.f64 b_2 (*.f64 b_2 b_2))))) (/.f64 #s(literal -1/2 binary64) b_2)) (/.f64 b_2 a))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(*.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 a (*.f64 a (*.f64 a c)))))) (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(*.f64 c (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))) (pow.f64 b_2 #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 a (*.f64 a (*.f64 a c)))))) (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(*.f64 c (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))) (pow.f64 b_2 #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 7 binary64)) (pow.f64 c #s(literal 7 binary64)))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 a (*.f64 a (*.f64 a c)))))) (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(-.f64 #s(literal 0 binary64) (*.f64 c (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b_2 (*.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 a (*.f64 a (*.f64 a c))))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b_2 (*.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 a (*.f64 a (*.f64 a c))))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))))) (neg.f64 c))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 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 #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64)))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 7 binary64)) (pow.f64 c #s(literal 7 binary64))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 1/16 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b_2 (*.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 a (*.f64 a (*.f64 a c))))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))))))) (neg.f64 c))
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c)))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(fma.f64 (*.f64 b_2 b_2) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 a (*.f64 a (*.f64 a c)))))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
(fma.f64 (*.f64 b_2 b_2) (fma.f64 b_2 (*.f64 b_2 (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 a (*.f64 a (*.f64 a c)))))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (/.f64 (*.f64 b_2 b_2) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c))))
b_2
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(*.f64 b_2 (fma.f64 (*.f64 a c) (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)) #s(literal 1 binary64)))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(*.f64 b_2 (fma.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 b_2)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal 1 binary64))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))
(fma.f64 b_2 (fma.f64 (*.f64 a c) (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)) (fma.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b_2 #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a (*.f64 a (*.f64 c c)))) (pow.f64 b_2 #s(literal 4 binary64))))) b_2)
(* -1 b_2)
(-.f64 #s(literal 0 binary64) b_2)
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(-.f64 #s(literal 0 binary64) (*.f64 b_2 (fma.f64 (*.f64 a c) (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)) #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 (-.f64 #s(literal 0 binary64) b_2) (fma.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 b_2)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (pow.f64 b_2 #s(literal 4 binary64))) #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))))))))
(-.f64 #s(literal 0 binary64) (fma.f64 b_2 (fma.f64 (*.f64 a c) (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)) (fma.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b_2 #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a (*.f64 a (*.f64 c c)))) (pow.f64 b_2 #s(literal 4 binary64))))) b_2))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(fma.f64 c (/.f64 (*.f64 #s(literal -1/2 binary64) a) b_2) b_2)
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(fma.f64 a (fma.f64 c (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 (*.f64 a (*.f64 #s(literal -1/8 binary64) (*.f64 c c))) (*.f64 b_2 (*.f64 b_2 b_2)))) b_2)
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(fma.f64 a (fma.f64 a (fma.f64 (*.f64 #s(literal -1/16 binary64) a) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 b_2 (*.f64 b_2 b_2)))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)) b_2)
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(*.f64 a (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 c (pow.f64 a #s(literal 5 binary64)))))) (pow.f64 b_2 #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 a (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 c (pow.f64 a #s(literal 5 binary64)))))) (pow.f64 b_2 #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #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)))) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (*.f64 b_2 (*.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64)))) (neg.f64 a))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 c (pow.f64 a #s(literal 5 binary64)))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64)) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (*.f64 b_2 (*.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64)))))))
(* -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 (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 c (pow.f64 a #s(literal 5 binary64)))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64)) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (*.f64 b_2 (*.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64)))))) (neg.f64 a))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(fma.f64 c (/.f64 (*.f64 #s(literal -1/2 binary64) a) b_2) b_2)
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(fma.f64 c (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 a (/.f64 a (*.f64 b_2 (*.f64 b_2 b_2)))) c) (/.f64 (*.f64 #s(literal -1/2 binary64) a) b_2)) b_2)
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(fma.f64 c (fma.f64 c (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (/.f64 c (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (*.f64 b_2 (*.f64 b_2 b_2)))) (/.f64 (*.f64 #s(literal -1/2 binary64) a) b_2)) b_2)
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(*.f64 c (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(*.f64 c (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (pow.f64 b_2 #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 c (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (pow.f64 b_2 #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (neg.f64 c))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))) (neg.f64 c))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 1/16 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))) (neg.f64 c))
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 a c))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 a c))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 a c))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 a c))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 a c))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 a c))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 a c))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 a c))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 a c))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 a c))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 a c))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 a c))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 a c))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 a c))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 a c))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 a c))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 a c))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 a c))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 a c))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 a c))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 a c))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 a c))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 a c))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 a c))

eval361.0ms (2.9%)

Memory
38.3MiB live, 578.0MiB allocated
Compiler

Compiled 60 871 to 6 196 computations (89.8% saved)

prune448.0ms (3.6%)

Memory
8.6MiB live, 559.5MiB allocated
Pruning

34 alts after pruning (30 fresh and 4 done)

PrunedKeptTotal
New2 502192 521
Fresh111122
Picked325
Done123
Total2 517342 551
Accuracy
99.8%
Counts
2 551 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.0%
(fma.f64 c (/.f64 #s(literal 1/2 binary64) b_2) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
25.7%
(/.f64 (fma.f64 b_2 b_2 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (*.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))
12.5%
(/.f64 (/.f64 a b_2) (neg.f64 (/.f64 a (*.f64 c #s(literal -1/2 binary64)))))
26.8%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 c)) a)) a)
31.4%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))))))
17.4%
(/.f64 (-.f64 (*.f64 b_2 a) (*.f64 a (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))) (*.f64 a a))
30.3%
(/.f64 (-.f64 (neg.f64 b_2) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))) a)
56.3%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
38.7%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)))) a)
13.9%
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 1 binary64)) (*.f64 b_2 (/.f64 a (*.f64 c #s(literal -1/2 binary64)))))
34.0%
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
14.1%
(/.f64 (*.f64 a (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 c))) #s(literal -1 binary64)))) a)
12.7%
(/.f64 (neg.f64 (*.f64 (*.f64 c #s(literal -1/2 binary64)) #s(literal 1 binary64))) b_2)
12.4%
(/.f64 (neg.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64)))) (*.f64 a b_2))
2.5%
(/.f64 b_2 a)
27.6%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b_2) (*.f64 a (*.f64 c #s(literal -1/2 binary64)))))
30.7%
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))))))))
32.1%
(/.f64 #s(literal -2 binary64) (/.f64 a b_2))
55.7%
(-.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))) a))
55.2%
(-.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) b_2) (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))) a))
22.1%
(*.f64 (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a b_2)) #s(literal -2 binary64))
12.7%
(*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) b_2))
2.3%
(*.f64 (/.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (neg.f64 (*.f64 a (fma.f64 b_2 b_2 #s(literal 0 binary64))))) #s(literal -2 binary64))
32.2%
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
56.2%
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))))))
18.5%
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 b_2 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) c)) (sqrt.f64 a))))
19.1%
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 b_2 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) a)) (sqrt.f64 c))))
31.4%
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)))))
25.5%
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) c) (/.f64 a b_2))
2.5%
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) b_2) #s(literal -2 binary64))
33.9%
(*.f64 (*.f64 (*.f64 c #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b_2))
31.1%
(*.f64 b_2 (fma.f64 c (/.f64 #s(literal 1/2 binary64) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)))
32.2%
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
2.5%
(*.f64 #s(literal 2 binary64) (/.f64 b_2 a))
Compiler

Compiled 957 to 633 computations (33.9% saved)

simplify227.0ms (1.8%)

Memory
-5.9MiB live, 167.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64)))))
cost-diff0
(-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))))))
cost-diff0
(/.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64)))))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))))))))
cost-diff0
(/.f64 #s(literal -2 binary64) a)
cost-diff0
(/.f64 #s(literal 1/2 binary64) (*.f64 b_2 b_2))
cost-diff0
(fma.f64 c (/.f64 #s(literal 1/2 binary64) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a))
cost-diff320
(*.f64 b_2 (fma.f64 c (/.f64 #s(literal 1/2 binary64) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)))
cost-diff-64
(*.f64 a b_2)
cost-diff-64
(*.f64 (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a b_2)) #s(literal -2 binary64))
cost-diff0
(fma.f64 b_2 b_2 #s(literal 0 binary64))
cost-diff768
(/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a b_2))
cost-diff0
(/.f64 b_2 a)
cost-diff0
(sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))))
cost-diff0
(-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))))
cost-diff0
(/.f64 #s(literal 1 binary64) a)
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))))))
Rules
3 370×accelerator-lowering-fma.f32
3 370×accelerator-lowering-fma.f64
2 882×*-lowering-*.f32
2 882×*-lowering-*.f64
1 850×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033196
185194
2215188
3502186
41051186
52892186
65881186
08107178
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (/ 1 a) (- (neg b_2) (sqrt (+ (* b_2 b_2) (- 0 (+ (* a c) 0))))))
(/ 1 a)
1
a
(- (neg b_2) (sqrt (+ (* b_2 b_2) (- 0 (+ (* a c) 0)))))
(neg b_2)
b_2
(sqrt (+ (* b_2 b_2) (- 0 (+ (* a c) 0))))
(+ (* b_2 b_2) (- 0 (+ (* a c) 0)))
(- 0 (+ (* a c) 0))
0
(+ (* a c) 0)
c
(/ b_2 a)
b_2
a
(* (/ (+ (* b_2 b_2) 0) (* a b_2)) -2)
(/ (+ (* b_2 b_2) 0) (* a b_2))
(+ (* b_2 b_2) 0)
b_2
0
(* a b_2)
a
-2
(* b_2 (+ (* c (/ 1/2 (* b_2 b_2))) (/ -2 a)))
b_2
(+ (* c (/ 1/2 (* b_2 b_2))) (/ -2 a))
c
(/ 1/2 (* b_2 b_2))
1/2
(* b_2 b_2)
(/ -2 a)
-2
a
(/ 1 (/ a (- b_2 (sqrt (- 0 (+ (* b_2 b_2) (+ (* a c) 0)))))))
1
(/ a (- b_2 (sqrt (- 0 (+ (* b_2 b_2) (+ (* a c) 0))))))
a
(- b_2 (sqrt (- 0 (+ (* b_2 b_2) (+ (* a c) 0)))))
b_2
(sqrt (- 0 (+ (* b_2 b_2) (+ (* a c) 0))))
(- 0 (+ (* b_2 b_2) (+ (* a c) 0)))
0
(+ (* b_2 b_2) (+ (* a c) 0))
(+ (* a c) 0)
c
Outputs
(* (/ 1 a) (- (neg b_2) (sqrt (+ (* b_2 b_2) (- 0 (+ (* a c) 0))))))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (fma.f64 a (-.f64 #s(literal 0 binary64) c) (fma.f64 b_2 b_2 #s(literal 0 binary64))))) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
1
#s(literal 1 binary64)
a
(- (neg b_2) (sqrt (+ (* b_2 b_2) (- 0 (+ (* a c) 0)))))
(-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (fma.f64 a (-.f64 #s(literal 0 binary64) c) (fma.f64 b_2 b_2 #s(literal 0 binary64)))))
(neg b_2)
(-.f64 #s(literal 0 binary64) b_2)
b_2
(sqrt (+ (* b_2 b_2) (- 0 (+ (* a c) 0))))
(sqrt.f64 (fma.f64 a (-.f64 #s(literal 0 binary64) c) (fma.f64 b_2 b_2 #s(literal 0 binary64))))
(+ (* b_2 b_2) (- 0 (+ (* a c) 0)))
(fma.f64 a (-.f64 #s(literal 0 binary64) c) (fma.f64 b_2 b_2 #s(literal 0 binary64)))
(- 0 (+ (* a c) 0))
(fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64))
0
#s(literal 0 binary64)
(+ (* a c) 0)
(fma.f64 a c #s(literal 0 binary64))
c
(/ b_2 a)
(/.f64 b_2 a)
b_2
a
(* (/ (+ (* b_2 b_2) 0) (* a b_2)) -2)
(fma.f64 #s(literal -2 binary64) (/.f64 b_2 a) #s(literal 0 binary64))
(/ (+ (* b_2 b_2) 0) (* a b_2))
(/.f64 b_2 a)
(+ (* b_2 b_2) 0)
(fma.f64 b_2 b_2 #s(literal 0 binary64))
b_2
0
#s(literal 0 binary64)
(* a b_2)
(fma.f64 a b_2 #s(literal 0 binary64))
a
-2
#s(literal -2 binary64)
(* b_2 (+ (* c (/ 1/2 (* b_2 b_2))) (/ -2 a)))
(fma.f64 c (/.f64 #s(literal 1/2 binary64) b_2) (fma.f64 #s(literal -2 binary64) (/.f64 b_2 a) #s(literal 0 binary64)))
b_2
(+ (* c (/ 1/2 (* b_2 b_2))) (/ -2 a))
(fma.f64 c (/.f64 #s(literal 1/2 binary64) (fma.f64 b_2 b_2 #s(literal 0 binary64))) (/.f64 #s(literal -2 binary64) a))
c
(/ 1/2 (* b_2 b_2))
(/.f64 #s(literal 1/2 binary64) (fma.f64 b_2 b_2 #s(literal 0 binary64)))
1/2
#s(literal 1/2 binary64)
(* b_2 b_2)
(fma.f64 b_2 b_2 #s(literal 0 binary64))
(/ -2 a)
(/.f64 #s(literal -2 binary64) a)
-2
#s(literal -2 binary64)
a
(/ 1 (/ a (- b_2 (sqrt (- 0 (+ (* b_2 b_2) (+ (* a c) 0)))))))
(/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) a)
1
#s(literal 1 binary64)
(/ a (- b_2 (sqrt (- 0 (+ (* b_2 b_2) (+ (* a c) 0))))))
(/.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
a
(- b_2 (sqrt (- 0 (+ (* b_2 b_2) (+ (* a c) 0)))))
(-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
b_2
(sqrt (- 0 (+ (* b_2 b_2) (+ (* a c) 0))))
(sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))
(- 0 (+ (* b_2 b_2) (+ (* a c) 0)))
(-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))
0
#s(literal 0 binary64)
(+ (* b_2 b_2) (+ (* a c) 0))
(fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))
(+ (* a c) 0)
(fma.f64 a c #s(literal 0 binary64))
c

localize119.0ms (1%)

Memory
-19.8MiB live, 99.4MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))))
accuracy99.9%
(/.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64)))))))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))))))))
accuracy93.7%
(sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64)))))
accuracy100.0%
(*.f64 b_2 b_2)
accuracy99.8%
(/.f64 #s(literal 1/2 binary64) (*.f64 b_2 b_2))
accuracy96.5%
(fma.f64 c (/.f64 #s(literal 1/2 binary64) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a))
accuracy91.1%
(*.f64 b_2 (fma.f64 c (/.f64 #s(literal 1/2 binary64) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)))
accuracy100.0%
(fma.f64 b_2 b_2 #s(literal 0 binary64))
accuracy100.0%
(*.f64 a b_2)
accuracy100.0%
(*.f64 (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a b_2)) #s(literal -2 binary64))
accuracy83.8%
(/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a b_2))
accuracy100.0%
(/.f64 b_2 a)
accuracy100.0%
(neg.f64 b_2)
accuracy100.0%
(-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))))
accuracy99.8%
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))))))
accuracy93.7%
(sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))))
Samples
34.0ms160×0invalid
23.0ms96×0valid
Compiler

Compiled 220 to 35 computations (84.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-div: 11.0ms (30.2% of total)
ival-mult: 10.0ms (27.5% of total)
ival-add: 5.0ms (13.7% of total)
ival-sub: 5.0ms (13.7% of total)
ival-sqrt: 3.0ms (8.2% of total)
ival-neg: 1.0ms (2.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series119.0ms (1%)

Memory
1.5MiB live, 38.0MiB allocated
Counts
20 → 528
Calls
Call 1
Inputs
#<alt (* (/ 1 a) (- (neg b_2) (sqrt (+ (* b_2 b_2) (- 0 (+ (* a c) 0))))))>
#<alt (/ 1 a)>
#<alt (- (neg b_2) (sqrt (+ (* b_2 b_2) (- 0 (+ (* a c) 0)))))>
#<alt (sqrt (+ (* b_2 b_2) (- 0 (+ (* a c) 0))))>
#<alt (/ b_2 a)>
#<alt (/ (+ (* b_2 b_2) 0) (* a b_2))>
#<alt (+ (* b_2 b_2) 0)>
#<alt (* (/ (+ (* b_2 b_2) 0) (* a b_2)) -2)>
#<alt (* a b_2)>
#<alt (* b_2 (+ (* c (/ 1/2 (* b_2 b_2))) (/ -2 a)))>
#<alt (+ (* c (/ 1/2 (* b_2 b_2))) (/ -2 a))>
#<alt (/ 1/2 (* b_2 b_2))>
#<alt (/ -2 a)>
#<alt (/ 1 (/ a (- b_2 (sqrt (- 0 (+ (* b_2 b_2) (+ (* a c) 0)))))))>
#<alt (/ a (- b_2 (sqrt (- 0 (+ (* b_2 b_2) (+ (* a c) 0))))))>
#<alt (- b_2 (sqrt (- 0 (+ (* b_2 b_2) (+ (* a c) 0)))))>
#<alt (sqrt (- 0 (+ (* b_2 b_2) (+ (* a c) 0))))>
#<alt (neg b_2)>
#<alt (* b_2 b_2)>
#<alt (- 0 (+ (* b_2 b_2) (+ (* a c) 0)))>
Outputs
#<alt (* -2 (/ b_2 a))>
#<alt (/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)>
#<alt (/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)>
#<alt (/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a)>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ b_2 (* -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))) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a))))>
#<alt (* -2 (/ b_2 a))>
#<alt (* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))>
#<alt (* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a))))>
#<alt (* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))) (* 2 (/ 1 a))))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))>
#<alt (* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2))>
#<alt (* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 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))))))) b_2))>
#<alt (* -2 (/ b_2 a))>
#<alt (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))>
#<alt (+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))))>
#<alt (+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2)))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))>
#<alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))))))>
#<alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c)))))>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (- (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (- (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (- (* b_2 (- (* b_2 (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -2 b_2)>
#<alt (* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))>
#<alt (* b_2 (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* b_2 (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1 (/ (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/2 (* a c))) b_2))>
#<alt (* -1 (/ (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))))) b_2))>
#<alt (* -1 (/ (- (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2))>
#<alt (* -2 b_2)>
#<alt (- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))>
#<alt (- (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 b_2))>
#<alt (- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))>
#<alt (* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* -1 (* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* a (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -2 b_2)>
#<alt (- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))>
#<alt (- (* c (- (* 1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* -1/2 (/ a b_2)))) (* 2 b_2))>
#<alt (- (* c (- (* c (- (* 1/16 (/ (* (pow a 3) c) (pow b_2 5))) (* -1/8 (/ (pow a 2) (pow b_2 3))))) (* -1/2 (/ a b_2)))) (* 2 b_2))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* c (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))>
#<alt (* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -1 (* c (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))>
#<alt (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))>
#<alt b_2>
#<alt (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))>
#<alt (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))>
#<alt (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))>
#<alt (* -1 b_2)>
#<alt (* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))>
#<alt (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))>
#<alt b_2>
#<alt (+ b_2 (* -1/2 (/ (* a c) b_2)))>
#<alt (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))>
#<alt (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))>
#<alt b_2>
#<alt (+ b_2 (* -1/2 (/ (* a c) b_2)))>
#<alt (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))>
#<alt (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
#<alt (/ b_2 a)>
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#<alt (* b_2 (- (+ (* -1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (+ (* -1/16 (/ (* (pow a 2) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (+ (* 1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (/ 1 a)))) (/ (sqrt -1) a)))>
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#<alt (* -1 (* b_2 (+ (* -1 (/ (+ 1 (sqrt -1)) a)) (+ (* -1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (+ (* -1/16 (/ (* (pow a 2) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))))))))>
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#<alt (- (+ (* c (+ (* -1/2 (/ (sqrt -1) b_2)) (* c (+ (* -1/16 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 5))) (* 1/8 (/ (* a (sqrt -1)) (pow b_2 3))))))) (/ b_2 a)) (/ (* b_2 (sqrt -1)) a))>
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#<alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (/ b_2 (* a c))))))>
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#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b_2 4) (sqrt -1))))) c)) (/ b_2 a)) c)))))>
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#<alt (* a (+ (* a (- (* a (- (* -1 (* a (+ (* -1/16 (/ (* (pow c 3) (sqrt -1)) (* (pow b_2 5) (pow (- b_2 (* b_2 (sqrt -1))) 2)))) (+ (* 1/16 (/ (* (pow c 3) (pow (sqrt -1) 2)) (* (pow b_2 4) (pow (- b_2 (* b_2 (sqrt -1))) 3)))) (* 1/2 (/ (* c (* (sqrt -1) (+ (* -1/4 (/ (* (pow c 2) (pow (sqrt -1) 2)) (* (pow b_2 2) (pow (- b_2 (* b_2 (sqrt -1))) 3)))) (* 1/8 (/ (* (pow c 2) (sqrt -1)) (* (pow b_2 3) (pow (- b_2 (* b_2 (sqrt -1))) 2))))))) (* b_2 (- b_2 (* b_2 (sqrt -1)))))))))) (+ (* -1/4 (/ (* (pow c 2) (pow (sqrt -1) 2)) (* (pow b_2 2) (pow (- b_2 (* b_2 (sqrt -1))) 3)))) (* 1/8 (/ (* (pow c 2) (sqrt -1)) (* (pow b_2 3) (pow (- b_2 (* b_2 (sqrt -1))) 2))))))) (* -1/2 (/ (* c (sqrt -1)) (* b_2 (pow (- b_2 (* b_2 (sqrt -1))) 2)))))) (/ 1 (- b_2 (* b_2 (sqrt -1))))))>
#<alt (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1))))>
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#<alt (- (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -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) (pow (sqrt -1) 3)))) (pow a 2)))) (/ b_2 (* c (pow (sqrt -1) 2))))>
#<alt (- (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (pow b_2 3)) (* (pow c 2) (pow (sqrt -1) 2)))) (* (sqrt (/ a c)) (/ (* b_2 (+ (* -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) (pow (sqrt -1) 3))))) (sqrt -1)))) (pow a 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3))) (/ b_2 (* c (pow (sqrt -1) 2))))))>
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#<alt (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* a (pow b_2 3)) (* (pow c 2) (pow (sqrt -1) 6)))) (* (sqrt (/ 1 (* a c))) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 5)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 5)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) a)) (/ (* a b_2) (* c (pow (sqrt -1) 4)))) a)) (* (sqrt (/ a c)) (/ 1 (sqrt -1))))>
#<alt (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1))))>
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#<alt (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* b_2 (- (* -1 (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (* c (pow (sqrt -1) 2))))))>
#<alt (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* b_2 (- (* b_2 (- (* b_2 (- (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -1) 2))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (* c (pow (sqrt -1) 2))))))>
#<alt (/ a (* b_2 (- 1 (sqrt -1))))>
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#<alt (/ (- (+ (* -1 (/ (+ (* -1/16 (/ (* (pow a 4) (* (pow c 3) (sqrt -1))) (pow (- 1 (sqrt -1)) 2))) (+ (* 1/16 (/ (* (pow a 4) (* (pow c 3) (pow (sqrt -1) 2))) (pow (- 1 (sqrt -1)) 3))) (* 1/2 (/ (* a (* c (* (sqrt -1) (+ (* -1/4 (/ (* (pow a 3) (* (pow c 2) (pow (sqrt -1) 2))) (pow (- 1 (sqrt -1)) 3))) (* 1/8 (/ (* (pow a 3) (* (pow c 2) (sqrt -1))) (pow (- 1 (sqrt -1)) 2))))))) (- 1 (sqrt -1)))))) (pow b_2 6))) (/ a (- 1 (sqrt -1)))) (+ (* -1/2 (/ (* (pow a 2) (* c (sqrt -1))) (* (pow b_2 2) (pow (- 1 (sqrt -1)) 2)))) (+ (* -1/4 (/ (* (pow a 3) (* (pow c 2) (pow (sqrt -1) 2))) (* (pow b_2 4) (pow (- 1 (sqrt -1)) 3)))) (* 1/8 (/ (* (pow a 3) (* (pow c 2) (sqrt -1))) (* (pow b_2 4) (pow (- 1 (sqrt -1)) 2))))))) b_2)>
#<alt (/ a (* b_2 (+ 1 (sqrt -1))))>
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#<alt (* -1 (/ (+ (* -1 (/ a (+ 1 (sqrt -1)))) (+ (* -1/4 (/ (* (pow a 3) (* (pow c 2) (pow (sqrt -1) 2))) (* (pow b_2 4) (pow (+ 1 (sqrt -1)) 3)))) (+ (* -1/8 (/ (* (pow a 3) (* (pow c 2) (sqrt -1))) (* (pow b_2 4) (pow (+ 1 (sqrt -1)) 2)))) (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) (* (pow b_2 2) (pow (+ 1 (sqrt -1)) 2))))))) b_2))>
#<alt (* -1 (/ (+ (* -1 (/ a (+ 1 (sqrt -1)))) (+ (* -1/2 (/ (* a (* c (* (sqrt -1) (+ (* -1/4 (/ (* (pow a 3) (* (pow c 2) (pow (sqrt -1) 2))) (pow (+ 1 (sqrt -1)) 3))) (* -1/8 (/ (* (pow a 3) (* (pow c 2) (sqrt -1))) (pow (+ 1 (sqrt -1)) 2))))))) (* (pow b_2 6) (+ 1 (sqrt -1))))) (+ (* -1/4 (/ (* (pow a 3) (* (pow c 2) (pow (sqrt -1) 2))) (* (pow b_2 4) (pow (+ 1 (sqrt -1)) 3)))) (+ (* -1/8 (/ (* (pow a 3) (* (pow c 2) (sqrt -1))) (* (pow b_2 4) (pow (+ 1 (sqrt -1)) 2)))) (+ (* 1/16 (/ (* (pow a 4) (* (pow c 3) (sqrt -1))) (* (pow b_2 6) (pow (+ 1 (sqrt -1)) 2)))) (+ (* 1/16 (/ (* (pow a 4) (* (pow c 3) (pow (sqrt -1) 2))) (* (pow b_2 6) (pow (+ 1 (sqrt -1)) 3)))) (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) (* (pow b_2 2) (pow (+ 1 (sqrt -1)) 2)))))))))) b_2))>
#<alt (/ a (- b_2 (* b_2 (sqrt -1))))>
#<alt (+ (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) (* b_2 (pow (- b_2 (* b_2 (sqrt -1))) 2)))) (/ a (- b_2 (* b_2 (sqrt -1)))))>
#<alt (+ (* c (- (* -1 (* c (+ (* -1/4 (/ (* (pow a 3) (pow (sqrt -1) 2)) (* (pow b_2 2) (pow (- b_2 (* b_2 (sqrt -1))) 3)))) (* 1/8 (/ (* (pow a 3) (sqrt -1)) (* (pow b_2 3) (pow (- b_2 (* b_2 (sqrt -1))) 2))))))) (* -1/2 (/ (* (pow a 2) (sqrt -1)) (* b_2 (pow (- b_2 (* b_2 (sqrt -1))) 2)))))) (/ a (- b_2 (* b_2 (sqrt -1)))))>
#<alt (+ (* c (- (* c (- (* -1 (* c (+ (* -1/16 (/ (* (pow a 4) (sqrt -1)) (* (pow b_2 5) (pow (- b_2 (* b_2 (sqrt -1))) 2)))) (+ (* 1/16 (/ (* (pow a 4) (pow (sqrt -1) 2)) (* (pow b_2 4) (pow (- b_2 (* b_2 (sqrt -1))) 3)))) (* 1/2 (/ (* a (* (sqrt -1) (+ (* -1/4 (/ (* (pow a 3) (pow (sqrt -1) 2)) (* (pow b_2 2) (pow (- b_2 (* b_2 (sqrt -1))) 3)))) (* 1/8 (/ (* (pow a 3) (sqrt -1)) (* (pow b_2 3) (pow (- b_2 (* b_2 (sqrt -1))) 2))))))) (* b_2 (- b_2 (* b_2 (sqrt -1)))))))))) (+ (* -1/4 (/ (* (pow a 3) (pow (sqrt -1) 2)) (* (pow b_2 2) (pow (- b_2 (* b_2 (sqrt -1))) 3)))) (* 1/8 (/ (* (pow a 3) (sqrt -1)) (* (pow b_2 3) (pow (- b_2 (* b_2 (sqrt -1))) 2))))))) (* -1/2 (/ (* (pow a 2) (sqrt -1)) (* b_2 (pow (- b_2 (* b_2 (sqrt -1))) 2)))))) (/ a (- b_2 (* b_2 (sqrt -1)))))>
#<alt (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1))))>
#<alt (/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (pow (sqrt -1) 2)))) c)>
#<alt (/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (pow c 2)))) (/ b_2 (pow (sqrt -1) 2))) c)>
#<alt (/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ (+ (* -1/2 (/ (* (pow b_2 3) (pow c 2)) (* a (pow (sqrt -1) 2)))) (* (sqrt (/ c a)) (/ (* b_2 (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (sqrt -1)))) (pow c 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3))) (/ b_2 (pow (sqrt -1) 2))))) c)>
#<alt (* (sqrt (/ a c)) (/ 1 (sqrt -1)))>
#<alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (pow (sqrt -1) 4)))) c))>
#<alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ c a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ c a)) (/ (pow b_2 2) (pow (sqrt -1) 5)))) (* -1 (/ (* b_2 c) (pow (sqrt -1) 4)))) c))) c))>
#<alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow b_2 3) c) (* a (pow (sqrt -1) 6)))) (* (sqrt (/ 1 (* a c))) (/ (* b_2 (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 5))))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 5))))) c)) (* -1 (/ (* b_2 c) (pow (sqrt -1) 4)))) c))) c))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (- b_2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (- (* b_2 (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (* b_2 (sqrt -1)))))) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (- (* b_2 (+ 1 (* b_2 (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* b_2 (- 1 (sqrt -1)))>
#<alt (* b_2 (- (+ 1 (* -1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))) (sqrt -1)))>
#<alt (* b_2 (- (+ 1 (* 1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4)))) (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))>
#<alt (* b_2 (- (+ 1 (* -1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6)))) (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))>
#<alt (* b_2 (+ 1 (sqrt -1)))>
#<alt (* -1 (* b_2 (- (* -1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))) (+ 1 (sqrt -1)))))>
#<alt (* -1 (* b_2 (- (* 1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ 1 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))))>
#<alt (* -1 (* b_2 (- (* -1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (+ 1 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))))>
#<alt (- b_2 (* b_2 (sqrt -1)))>
#<alt (- (+ b_2 (* -1/2 (/ (* a (* c (sqrt -1))) b_2))) (* b_2 (sqrt -1)))>
#<alt (- (+ b_2 (* a (- (* 1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2))))) (* b_2 (sqrt -1)))>
#<alt (- (+ b_2 (* a (- (* a (- (* -1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))) (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))))) (* 1/2 (/ (* c (sqrt -1)) b_2))))) (* b_2 (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* (sqrt (* a c)) (pow (sqrt -1) 3))>
#<alt (* -1 (* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))>
#<alt (* -1 (* a (- (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))>
#<alt (* -1 (* a (- (* -1 (/ (+ b_2 (* -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))) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))>
#<alt (- b_2 (* b_2 (sqrt -1)))>
#<alt (- (+ b_2 (* -1/2 (/ (* a (* c (sqrt -1))) b_2))) (* b_2 (sqrt -1)))>
#<alt (- (+ b_2 (* c (- (* 1/8 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* a (sqrt -1)) b_2))))) (* b_2 (sqrt -1)))>
#<alt (- (+ b_2 (* c (- (* c (- (* -1/16 (/ (* (pow a 3) (* c (sqrt -1))) (pow b_2 5))) (* -1/8 (/ (* (pow a 2) (sqrt -1)) (pow b_2 3))))) (* 1/2 (/ (* a (sqrt -1)) b_2))))) (* b_2 (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (/ b_2 c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* (sqrt (* a c)) (pow (sqrt -1) 3))>
#<alt (* -1 (* c (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))>
#<alt (* -1 (* c (- (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))>
#<alt (* -1 (* c (- (* -1 (/ (+ b_2 (* -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))) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))>
#<alt (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (sqrt -1))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 2) (sqrt -1)))))))))>
#<alt (* b_2 (sqrt -1))>
#<alt (* b_2 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))>
#<alt (* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))>
#<alt (* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))>
#<alt (* -1 (* b_2 (sqrt -1)))>
#<alt (* -1 (* b_2 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))>
#<alt (* -1 (* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))>
#<alt (* -1 (* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))))>
#<alt (* b_2 (sqrt -1))>
#<alt (+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1)))>
#<alt (+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1)))>
#<alt (+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1)))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (* a c)) (pow (sqrt -1) 3)))>
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))>
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3))))))>
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))))>
#<alt (* b_2 (sqrt -1))>
#<alt (+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1)))>
#<alt (+ (* b_2 (sqrt -1)) (* c (+ (* -1/8 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* a (sqrt -1)) b_2)))))>
#<alt (+ (* b_2 (sqrt -1)) (* c (+ (* 1/2 (/ (* a (sqrt -1)) b_2)) (* c (+ (* -1/8 (/ (* (pow a 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* (pow a 3) (* c (sqrt -1))) (pow b_2 5))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (* a c)) (pow (sqrt -1) 3)))>
#<alt (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))>
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3))))))>
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))))>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (* -1 (* a c))>
#<alt (- (* -1 (pow b_2 2)) (* a c))>
#<alt (- (* -1 (pow b_2 2)) (* a c))>
#<alt (- (* -1 (pow b_2 2)) (* a c))>
#<alt (* -1 (pow b_2 2))>
#<alt (* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))>
#<alt (* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))>
#<alt (* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))>
#<alt (* -1 (pow b_2 2))>
#<alt (* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))>
#<alt (* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))>
#<alt (* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))>
#<alt (* -1 (pow b_2 2))>
#<alt (- (* -1 (* a c)) (pow b_2 2))>
#<alt (- (* -1 (* a c)) (pow b_2 2))>
#<alt (- (* -1 (* a c)) (pow b_2 2))>
#<alt (* -1 (* a c))>
#<alt (* a (- (* -1 (/ (pow b_2 2) a)) c))>
#<alt (* a (- (* -1 (/ (pow b_2 2) a)) c))>
#<alt (* a (- (* -1 (/ (pow b_2 2) a)) c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a (- (/ (pow b_2 2) a) (* -1 c))))>
#<alt (* -1 (* a (- (/ (pow b_2 2) a) (* -1 c))))>
#<alt (* -1 (* a (- (/ (pow b_2 2) a) (* -1 c))))>
#<alt (* -1 (pow b_2 2))>
#<alt (- (* -1 (* a c)) (pow b_2 2))>
#<alt (- (* -1 (* a c)) (pow b_2 2))>
#<alt (- (* -1 (* a c)) (pow b_2 2))>
#<alt (* -1 (* a c))>
#<alt (* c (- (* -1 (/ (pow b_2 2) c)) a))>
#<alt (* c (- (* -1 (/ (pow b_2 2) c)) a))>
#<alt (* c (- (* -1 (/ (pow b_2 2) c)) a))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* c (- (/ (pow b_2 2) c) (* -1 a))))>
#<alt (* -1 (* c (- (/ (pow b_2 2) c) (* -1 a))))>
#<alt (* -1 (* c (- (/ (pow b_2 2) c) (* -1 a))))>
Calls

132 calls:

TimeVariablePointExpression
92.0ms
c
@-inf
(/ a (- b_2 (sqrt (- 0 (+ (* b_2 b_2) (+ (* a c) 0))))))
2.0ms
b_2
@-inf
(/ a (- b_2 (sqrt (- 0 (+ (* b_2 b_2) (+ (* a c) 0))))))
1.0ms
b_2
@inf
(/ a (- b_2 (sqrt (- 0 (+ (* b_2 b_2) (+ (* a c) 0))))))
1.0ms
a
@-inf
(/ a (- b_2 (sqrt (- 0 (+ (* b_2 b_2) (+ (* a c) 0))))))
1.0ms
c
@0
(/ a (- b_2 (sqrt (- 0 (+ (* b_2 b_2) (+ (* a c) 0))))))

rewrite395.0ms (3.2%)

Memory
-10.1MiB live, 483.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
3 612×accelerator-lowering-fma.f32
3 612×accelerator-lowering-fma.f64
2 878×/-lowering-/.f32
2 878×/-lowering-/.f64
2 386×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033154
1235150
22435144
09086134
Stop Event
iter limit
node limit
Counts
20 → 880
Calls
Call 1
Inputs
(* (/ 1 a) (- (neg b_2) (sqrt (+ (* b_2 b_2) (- 0 (+ (* a c) 0))))))
(/ 1 a)
(- (neg b_2) (sqrt (+ (* b_2 b_2) (- 0 (+ (* a c) 0)))))
(sqrt (+ (* b_2 b_2) (- 0 (+ (* a c) 0))))
(/ b_2 a)
(/ (+ (* b_2 b_2) 0) (* a b_2))
(+ (* b_2 b_2) 0)
(* (/ (+ (* b_2 b_2) 0) (* a b_2)) -2)
(* a b_2)
(* b_2 (+ (* c (/ 1/2 (* b_2 b_2))) (/ -2 a)))
(+ (* c (/ 1/2 (* b_2 b_2))) (/ -2 a))
(/ 1/2 (* b_2 b_2))
(/ -2 a)
(/ 1 (/ a (- b_2 (sqrt (- 0 (+ (* b_2 b_2) (+ (* a c) 0)))))))
(/ a (- b_2 (sqrt (- 0 (+ (* b_2 b_2) (+ (* a c) 0))))))
(- b_2 (sqrt (- 0 (+ (* b_2 b_2) (+ (* a c) 0)))))
(sqrt (- 0 (+ (* b_2 b_2) (+ (* a c) 0))))
(neg b_2)
(* b_2 b_2)
(- 0 (+ (* b_2 b_2) (+ (* a c) 0)))
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) b_2)) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) b_2) (/.f64 #s(literal 1 binary64) a)) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) a)))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) b_2) a) (/.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) a))
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(fma.f64 (/.f64 #s(literal 1 binary64) a) b_2 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) a) b_2 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) a)))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) b_2) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) b_2) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) a)))
(fma.f64 b_2 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(fma.f64 b_2 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) a)))
(fma.f64 (-.f64 #s(literal 0 binary64) b_2) (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(fma.f64 (-.f64 #s(literal 0 binary64) b_2) (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) a)))
(fma.f64 #s(literal -1 binary64) (/.f64 b_2 (-.f64 #s(literal 0 binary64) a)) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(fma.f64 #s(literal -1 binary64) (/.f64 b_2 (-.f64 #s(literal 0 binary64) a)) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) a)))
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(neg.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) a))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(/.f64 #s(literal -1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(/.f64 (-.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (*.f64 a (fma.f64 b_2 b_2 (fma.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) a)
(/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (-.f64 #s(literal 0 binary64) a))
(/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) a)))
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(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (*.f64 a (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
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(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))) (fma.f64 b_2 b_2 (fma.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
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(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) a)
(/.f64 (-.f64 (*.f64 b_2 #s(literal 1 binary64)) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) a)
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(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (neg.f64 (*.f64 a (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a)) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))
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(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (fma.f64 b_2 b_2 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))) (neg.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 b_2 b_2 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 b_2 a) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 b_2 a) (/.f64 b_2 a) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))) (*.f64 (/.f64 b_2 a) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))))
(/.f64 (+.f64 (pow.f64 (/.f64 b_2 a) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64))) (fma.f64 (/.f64 b_2 a) (/.f64 b_2 a) (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) a)) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) a))) (*.f64 (/.f64 b_2 a) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) a))))))
(/.f64 (-.f64 (pow.f64 (/.f64 b_2 a) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) a) #s(literal 3 binary64))) (fma.f64 (/.f64 b_2 a) (/.f64 b_2 a) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) a) (/.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) a) (*.f64 (/.f64 b_2 a) (/.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) a)))))
(pow.f64 (/.f64 a (-.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) a) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 a (-.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 a (-.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (/.f64 a (-.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 a (-.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) a))
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) a))
(*.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) a) #s(literal 1 binary64))
(*.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))
(*.f64 (pow.f64 (/.f64 a (-.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 a (-.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 a (-.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (fma.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(*.f64 (pow.f64 (/.f64 a (fma.f64 b_2 b_2 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) a)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 a (-.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 a (-.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (-.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))) (/.f64 a (-.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) (/.f64 a (-.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(neg.f64 (/.f64 a (-.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) a))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))) a) #s(literal 1 binary64)))
(/.f64 a (-.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(/.f64 a (*.f64 #s(literal 1 binary64) (-.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(/.f64 (/.f64 a (-.f64 b_2 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))) #s(literal 1 binary64))
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(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))
(fabs.f64 (sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))
(sqrt.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))
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(*.f64 (/.f64 (fma.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 a c #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (/.f64 (fma.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))
(*.f64 (pow.f64 (*.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal 0 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) #s(literal 0 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 a c #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))) (fma.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 1 binary64)))

simplify463.0ms (3.8%)

Memory
9.8MiB live, 876.5MiB allocated
Algorithm
egg-herbie
Rules
7 906×*-lowering-*.f32
7 906×*-lowering-*.f64
7 144×accelerator-lowering-fma.f32
7 144×accelerator-lowering-fma.f64
4 742×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012709799
142129515
090999148
Stop Event
iter limit
node limit
Counts
528 → 528
Calls
Call 1
Inputs
(* -2 (/ b_2 a))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) 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 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -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))) 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))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a))))
(* -2 (/ b_2 a))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 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 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 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))))))) b_2))
(* -2 (/ b_2 a))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))))
(+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c)))))
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(* -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)))
(* -2 b_2)
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))
(* b_2 (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* b_2 (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1/2 (/ (* a c) b_2))
(* -1 (/ (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/2 (* a c))) b_2))
(* -1 (/ (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))))) b_2))
(* -1 (/ (- (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -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))
(* -2 b_2)
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(- (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(* -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))
(* -1 (* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1)))))
(* -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)))))
(* -2 b_2)
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(- (* c (- (* 1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(- (* c (- (* c (- (* 1/16 (/ (* (pow a 3) c) (pow b_2 5))) (* -1/8 (/ (pow a 2) (pow b_2 3))))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(* -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))
(* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* (sqrt (* a c)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
b_2
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))
(* -1 b_2)
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* a b_2)
(* a b_2)
(* a b_2)
(* a b_2)
(* a b_2)
(* a b_2)
(* a b_2)
(* a b_2)
(* a b_2)
(* a b_2)
(* a b_2)
(* a b_2)
(* a b_2)
(* a b_2)
(* a b_2)
(* a b_2)
(* a b_2)
(* a b_2)
(* a b_2)
(* a b_2)
(* a b_2)
(* a b_2)
(* a b_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)
(* -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))))
(* -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))
(+ (* -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 (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
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(/ (+ (* -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))
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(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c 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)))
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(/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) (pow b_2 2))
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(/ 1/2 (pow b_2 2))
(/ 1/2 (pow b_2 2))
(/ 1/2 (pow b_2 2))
(/ 1/2 (pow b_2 2))
(/ -2 a)
(/ -2 a)
(/ -2 a)
(/ -2 a)
(/ -2 a)
(/ -2 a)
(/ -2 a)
(/ -2 a)
(/ -2 a)
(/ -2 a)
(/ -2 a)
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(/ (- (+ b_2 (* a (+ (* -1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))) (* 1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3)))))))) (* b_2 (sqrt -1))) a)
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(* (sqrt (/ c a)) (pow (sqrt -1) 3))
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(* -1 (* (sqrt (/ c a)) (sqrt -1)))
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(* (sqrt (/ c a)) (pow (sqrt -1) 3))
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(/ a (- b_2 (* b_2 (sqrt -1))))
(* a (+ (* 1/2 (/ (* a (* c (sqrt -1))) (* b_2 (pow (- b_2 (* b_2 (sqrt -1))) 2)))) (/ 1 (- b_2 (* b_2 (sqrt -1))))))
(* a (+ (* a (- (* -1 (* a (+ (* -1/4 (/ (* (pow c 2) (pow (sqrt -1) 2)) (* (pow b_2 2) (pow (- b_2 (* b_2 (sqrt -1))) 3)))) (* 1/8 (/ (* (pow c 2) (sqrt -1)) (* (pow b_2 3) (pow (- b_2 (* b_2 (sqrt -1))) 2))))))) (* -1/2 (/ (* c (sqrt -1)) (* b_2 (pow (- b_2 (* b_2 (sqrt -1))) 2)))))) (/ 1 (- b_2 (* b_2 (sqrt -1))))))
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(* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1))))
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))))
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(* (sqrt (/ a c)) (/ 1 (sqrt -1)))
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -1))) (/ b_2 (* c (pow (sqrt -1) 4))))
(+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 5)))) (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (/ (* a b_2) (* c (pow (sqrt -1) 4)))) a)) (* (sqrt (/ a c)) (/ 1 (sqrt -1))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* a (pow b_2 3)) (* (pow c 2) (pow (sqrt -1) 6)))) (* (sqrt (/ 1 (* a c))) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 5)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 5)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) a)) (/ (* a b_2) (* c (pow (sqrt -1) 4)))) a)) (* (sqrt (/ a c)) (/ 1 (sqrt -1))))
(* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1))))
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))))
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(/ a (* b_2 (- 1 (sqrt -1))))
(/ (+ (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) (* (pow b_2 2) (pow (- 1 (sqrt -1)) 2)))) (/ a (- 1 (sqrt -1)))) b_2)
(/ (- (+ (* -1 (/ (+ (* -1/4 (/ (* (pow a 3) (* (pow c 2) (pow (sqrt -1) 2))) (pow (- 1 (sqrt -1)) 3))) (* 1/8 (/ (* (pow a 3) (* (pow c 2) (sqrt -1))) (pow (- 1 (sqrt -1)) 2)))) (pow b_2 4))) (/ a (- 1 (sqrt -1)))) (* -1/2 (/ (* (pow a 2) (* c (sqrt -1))) (* (pow b_2 2) (pow (- 1 (sqrt -1)) 2))))) b_2)
(/ (- (+ (* -1 (/ (+ (* -1/16 (/ (* (pow a 4) (* (pow c 3) (sqrt -1))) (pow (- 1 (sqrt -1)) 2))) (+ (* 1/16 (/ (* (pow a 4) (* (pow c 3) (pow (sqrt -1) 2))) (pow (- 1 (sqrt -1)) 3))) (* 1/2 (/ (* a (* c (* (sqrt -1) (+ (* -1/4 (/ (* (pow a 3) (* (pow c 2) (pow (sqrt -1) 2))) (pow (- 1 (sqrt -1)) 3))) (* 1/8 (/ (* (pow a 3) (* (pow c 2) (sqrt -1))) (pow (- 1 (sqrt -1)) 2))))))) (- 1 (sqrt -1)))))) (pow b_2 6))) (/ a (- 1 (sqrt -1)))) (+ (* -1/2 (/ (* (pow a 2) (* c (sqrt -1))) (* (pow b_2 2) (pow (- 1 (sqrt -1)) 2)))) (+ (* -1/4 (/ (* (pow a 3) (* (pow c 2) (pow (sqrt -1) 2))) (* (pow b_2 4) (pow (- 1 (sqrt -1)) 3)))) (* 1/8 (/ (* (pow a 3) (* (pow c 2) (sqrt -1))) (* (pow b_2 4) (pow (- 1 (sqrt -1)) 2))))))) b_2)
(/ a (* b_2 (+ 1 (sqrt -1))))
(* -1 (/ (+ (* -1 (/ a (+ 1 (sqrt -1)))) (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) (* (pow b_2 2) (pow (+ 1 (sqrt -1)) 2))))) b_2))
(* -1 (/ (+ (* -1 (/ a (+ 1 (sqrt -1)))) (+ (* -1/4 (/ (* (pow a 3) (* (pow c 2) (pow (sqrt -1) 2))) (* (pow b_2 4) (pow (+ 1 (sqrt -1)) 3)))) (+ (* -1/8 (/ (* (pow a 3) (* (pow c 2) (sqrt -1))) (* (pow b_2 4) (pow (+ 1 (sqrt -1)) 2)))) (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) (* (pow b_2 2) (pow (+ 1 (sqrt -1)) 2))))))) b_2))
(* -1 (/ (+ (* -1 (/ a (+ 1 (sqrt -1)))) (+ (* -1/2 (/ (* a (* c (* (sqrt -1) (+ (* -1/4 (/ (* (pow a 3) (* (pow c 2) (pow (sqrt -1) 2))) (pow (+ 1 (sqrt -1)) 3))) (* -1/8 (/ (* (pow a 3) (* (pow c 2) (sqrt -1))) (pow (+ 1 (sqrt -1)) 2))))))) (* (pow b_2 6) (+ 1 (sqrt -1))))) (+ (* -1/4 (/ (* (pow a 3) (* (pow c 2) (pow (sqrt -1) 2))) (* (pow b_2 4) (pow (+ 1 (sqrt -1)) 3)))) (+ (* -1/8 (/ (* (pow a 3) (* (pow c 2) (sqrt -1))) (* (pow b_2 4) (pow (+ 1 (sqrt -1)) 2)))) (+ (* 1/16 (/ (* (pow a 4) (* (pow c 3) (sqrt -1))) (* (pow b_2 6) (pow (+ 1 (sqrt -1)) 2)))) (+ (* 1/16 (/ (* (pow a 4) (* (pow c 3) (pow (sqrt -1) 2))) (* (pow b_2 6) (pow (+ 1 (sqrt -1)) 3)))) (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) (* (pow b_2 2) (pow (+ 1 (sqrt -1)) 2)))))))))) b_2))
(/ a (- b_2 (* b_2 (sqrt -1))))
(+ (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) (* b_2 (pow (- b_2 (* b_2 (sqrt -1))) 2)))) (/ a (- b_2 (* b_2 (sqrt -1)))))
(+ (* c (- (* -1 (* c (+ (* -1/4 (/ (* (pow a 3) (pow (sqrt -1) 2)) (* (pow b_2 2) (pow (- b_2 (* b_2 (sqrt -1))) 3)))) (* 1/8 (/ (* (pow a 3) (sqrt -1)) (* (pow b_2 3) (pow (- b_2 (* b_2 (sqrt -1))) 2))))))) (* -1/2 (/ (* (pow a 2) (sqrt -1)) (* b_2 (pow (- b_2 (* b_2 (sqrt -1))) 2)))))) (/ a (- b_2 (* b_2 (sqrt -1)))))
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(* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1))))
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (pow (sqrt -1) 2)))) c)
(/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (pow c 2)))) (/ b_2 (pow (sqrt -1) 2))) c)
(/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ (+ (* -1/2 (/ (* (pow b_2 3) (pow c 2)) (* a (pow (sqrt -1) 2)))) (* (sqrt (/ c a)) (/ (* b_2 (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (sqrt -1)))) (pow c 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3))) (/ b_2 (pow (sqrt -1) 2))))) c)
(* (sqrt (/ a c)) (/ 1 (sqrt -1)))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (pow (sqrt -1) 4)))) c))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ c a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ c a)) (/ (pow b_2 2) (pow (sqrt -1) 5)))) (* -1 (/ (* b_2 c) (pow (sqrt -1) 4)))) c))) c))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow b_2 3) c) (* a (pow (sqrt -1) 6)))) (* (sqrt (/ 1 (* a c))) (/ (* b_2 (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 5))))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 5))))) c)) (* -1 (/ (* b_2 c) (pow (sqrt -1) 4)))) c))) c))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(- b_2 (* (sqrt (* a c)) (sqrt -1)))
(- (* b_2 (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (* b_2 (sqrt -1)))))) (* (sqrt (* a c)) (sqrt -1)))
(- (* b_2 (+ 1 (* b_2 (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))) (* (sqrt (* a c)) (sqrt -1)))
(* b_2 (- 1 (sqrt -1)))
(* b_2 (- (+ 1 (* -1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))) (sqrt -1)))
(* b_2 (- (+ 1 (* 1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4)))) (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))
(* b_2 (- (+ 1 (* -1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6)))) (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))
(* b_2 (+ 1 (sqrt -1)))
(* -1 (* b_2 (- (* -1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))) (+ 1 (sqrt -1)))))
(* -1 (* b_2 (- (* 1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ 1 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))))
(* -1 (* b_2 (- (* -1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (+ 1 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))))
(- b_2 (* b_2 (sqrt -1)))
(- (+ b_2 (* -1/2 (/ (* a (* c (sqrt -1))) b_2))) (* b_2 (sqrt -1)))
(- (+ b_2 (* a (- (* 1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2))))) (* b_2 (sqrt -1)))
(- (+ b_2 (* a (- (* a (- (* -1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))) (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))))) (* 1/2 (/ (* c (sqrt -1)) b_2))))) (* b_2 (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* (sqrt (* a c)) (pow (sqrt -1) 3))
(* -1 (* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))
(* -1 (* a (- (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))
(* -1 (* a (- (* -1 (/ (+ b_2 (* -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))) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))
(- b_2 (* b_2 (sqrt -1)))
(- (+ b_2 (* -1/2 (/ (* a (* c (sqrt -1))) b_2))) (* b_2 (sqrt -1)))
(- (+ b_2 (* c (- (* 1/8 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* a (sqrt -1)) b_2))))) (* b_2 (sqrt -1)))
(- (+ b_2 (* c (- (* c (- (* -1/16 (/ (* (pow a 3) (* c (sqrt -1))) (pow b_2 5))) (* -1/8 (/ (* (pow a 2) (sqrt -1)) (pow b_2 3))))) (* 1/2 (/ (* a (sqrt -1)) b_2))))) (* b_2 (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (/ b_2 c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* (sqrt (* a c)) (pow (sqrt -1) 3))
(* -1 (* c (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))
(* -1 (* c (- (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))
(* -1 (* c (- (* -1 (/ (+ b_2 (* -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))) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))
(* (sqrt (* a c)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (sqrt -1))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 2) (sqrt -1)))))))))
(* b_2 (sqrt -1))
(* b_2 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))
(* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))
(* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))
(* -1 (* b_2 (sqrt -1)))
(* -1 (* b_2 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))
(* -1 (* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))
(* -1 (* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))))
(* b_2 (sqrt -1))
(+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1)))
(+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1)))
(+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1)))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 3)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))))
(* b_2 (sqrt -1))
(+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1)))
(+ (* b_2 (sqrt -1)) (* c (+ (* -1/8 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* a (sqrt -1)) b_2)))))
(+ (* b_2 (sqrt -1)) (* c (+ (* 1/2 (/ (* a (sqrt -1)) b_2)) (* c (+ (* -1/8 (/ (* (pow a 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* (pow a 3) (* c (sqrt -1))) (pow b_2 5))))))))
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 3)))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))))
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(* -1 (* a c))
(- (* -1 (pow b_2 2)) (* a c))
(- (* -1 (pow b_2 2)) (* a c))
(- (* -1 (pow b_2 2)) (* a c))
(* -1 (pow b_2 2))
(* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))
(* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))
(* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))
(* -1 (pow b_2 2))
(* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))
(* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))
(* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))
(* -1 (pow b_2 2))
(- (* -1 (* a c)) (pow b_2 2))
(- (* -1 (* a c)) (pow b_2 2))
(- (* -1 (* a c)) (pow b_2 2))
(* -1 (* a c))
(* a (- (* -1 (/ (pow b_2 2) a)) c))
(* a (- (* -1 (/ (pow b_2 2) a)) c))
(* a (- (* -1 (/ (pow b_2 2) a)) c))
(* -1 (* a c))
(* -1 (* a (- (/ (pow b_2 2) a) (* -1 c))))
(* -1 (* a (- (/ (pow b_2 2) a) (* -1 c))))
(* -1 (* a (- (/ (pow b_2 2) a) (* -1 c))))
(* -1 (pow b_2 2))
(- (* -1 (* a c)) (pow b_2 2))
(- (* -1 (* a c)) (pow b_2 2))
(- (* -1 (* a c)) (pow b_2 2))
(* -1 (* a c))
(* c (- (* -1 (/ (pow b_2 2) c)) a))
(* c (- (* -1 (/ (pow b_2 2) c)) a))
(* c (- (* -1 (/ (pow b_2 2) c)) a))
(* -1 (* a c))
(* -1 (* c (- (/ (pow b_2 2) c) (* -1 a))))
(* -1 (* c (- (/ (pow b_2 2) c) (* -1 a))))
(* -1 (* c (- (/ (pow b_2 2) c) (* -1 a))))
Outputs
(* -2 (/ b_2 a))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/.f64 (fma.f64 #s(literal -2 binary64) b_2 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a c)) b_2)) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)
(/.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 #s(literal -2 binary64) b_2)) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a)
(/.f64 (fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c c)) (*.f64 b_2 (*.f64 b_2 b_2)))) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2)) (*.f64 #s(literal -2 binary64) b_2)) a)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (sqrt.f64 (/.f64 c a)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(-.f64 #s(literal 0 binary64) (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 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))
(-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 b_2 (-.f64 #s(literal 0 binary64) a))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))
(+.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 b_2 a))) (fma.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))))))
(* (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 b_2 (-.f64 #s(literal 0 binary64) a)))
(+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) b_2) a))
(+ (* -1 (/ (+ b_2 (* -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))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 b_2 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))))) a)) a))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (sqrt.f64 (/.f64 c a)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))))
(fma.f64 b_2 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) a)) (*.f64 (sqrt.f64 (/.f64 c a)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a))))
(fma.f64 b_2 (fma.f64 b_2 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (*.f64 b_2 b_2)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) a)) (*.f64 (sqrt.f64 (/.f64 c a)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(* -2 (/ b_2 a))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(*.f64 b_2 (fma.f64 #s(literal 1/2 binary64) (/.f64 c (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)))
(* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a))))
(*.f64 b_2 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a))))
(* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))) (* 2 (/ 1 a))))
(*.f64 b_2 (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (pow.f64 b_2 #s(literal 6 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)))))
(* -1/2 (/ 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 #s(literal 1/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b_2 b_2)) (*.f64 #s(literal 1/2 binary64) c)) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (pow.f64 b_2 #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b_2 b_2)) (*.f64 #s(literal 1/2 binary64) c))) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 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))))))) b_2))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (pow.f64 b_2 #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (+.f64 c (/.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 5/64 binary64)) (*.f64 a (pow.f64 b_2 #s(literal 6 binary64))))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b_2 b_2)))) (-.f64 #s(literal 0 binary64) b_2))
(* -2 (/ b_2 a))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(fma.f64 #s(literal -2 binary64) (/.f64 b_2 a) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2))
(+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))))
(fma.f64 c (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 a c) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 #s(literal 1/2 binary64) b_2)) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
(+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2)))))
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(fma.f64 (*.f64 b_2 b_2) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a)))))) (/.f64 (*.f64 b_2 b_2) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
(fma.f64 (*.f64 b_2 b_2) (fma.f64 (*.f64 b_2 b_2) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))))) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))) (/.f64 (*.f64 b_2 b_2) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c))))
b_2
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(*.f64 b_2 (fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal 1 binary64)))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
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(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))
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(* -1 b_2)
(-.f64 #s(literal 0 binary64) b_2)
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
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(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(-.f64 #s(literal 0 binary64) (fma.f64 b_2 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (pow.f64 b_2 #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 c (*.f64 b_2 b_2))))) 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))))))))
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b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(fma.f64 (/.f64 (*.f64 a c) b_2) #s(literal -1/2 binary64) b_2)
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
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(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(fma.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) b_2)
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
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(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
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(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
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(* -1 (* (sqrt (* a c)) (sqrt -1)))
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(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
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(* -1 (* 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))))))
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(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
(-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(fma.f64 (/.f64 (*.f64 a c) b_2) #s(literal -1/2 binary64) b_2)
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(fma.f64 c (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 (*.f64 #s(literal -1/2 binary64) a) b_2)) b_2)
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 a (*.f64 a a)) (/.f64 c (pow.f64 b_2 #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (*.f64 b_2 (*.f64 b_2 b_2)))) (/.f64 (*.f64 #s(literal -1/2 binary64) a) b_2)) b_2)
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (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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(* 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))))))
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(* -1 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 a c)))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
(-.f64 #s(literal 0 binary64) (*.f64 c (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))))))
(/ b_2 a)
(/.f64 b_2 a)
(/ b_2 a)
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(/ b_2 a)
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(/ b_2 a)
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(/ b_2 a)
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(/ b_2 a)
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(/ b_2 a)
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(/ b_2 a)
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(/ b_2 a)
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(/ b_2 a)
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(/ b_2 a)
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(/ b_2 a)
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(/ b_2 a)
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(/ b_2 a)
(/.f64 b_2 a)
(/ b_2 a)
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(/ b_2 a)
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(/ b_2 a)
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(/ b_2 a)
(/.f64 b_2 a)
(pow b_2 2)
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(pow b_2 2)
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(pow b_2 2)
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(pow b_2 2)
(*.f64 b_2 b_2)
(pow b_2 2)
(*.f64 b_2 b_2)
(pow b_2 2)
(*.f64 b_2 b_2)
(pow b_2 2)
(*.f64 b_2 b_2)
(pow b_2 2)
(*.f64 b_2 b_2)
(pow b_2 2)
(*.f64 b_2 b_2)
(pow b_2 2)
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(* -2 (/ b_2 a))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(* -2 (/ b_2 a))
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(* -2 (/ b_2 a))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(* -2 (/ b_2 a))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(* -2 (/ b_2 a))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
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(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 a c))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)))) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3))))))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c))))) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64)))))) (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)))))) (-.f64 #s(literal 0 binary64) c))
(* -1 b_2)
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(* -1 (* a c))
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(- (* -1 (pow b_2 2)) (* a c))
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(- (* -1 (pow b_2 2)) (* a c))
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(- (* -1 (pow b_2 2)) (* a c))
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(* -1 (pow b_2 2))
(-.f64 #s(literal 0 binary64) (*.f64 b_2 b_2))
(* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))
(*.f64 (*.f64 b_2 b_2) (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 c (*.f64 b_2 b_2)) #s(literal -1 binary64)))
(* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))
(*.f64 (*.f64 b_2 b_2) (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 c (*.f64 b_2 b_2)) #s(literal -1 binary64)))
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(neg.f64 (fma.f64 a c (*.f64 b_2 b_2)))
(- (* -1 (* a c)) (pow b_2 2))
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eval189.0ms (1.5%)

Memory
41.9MiB live, 452.9MiB allocated
Compiler

Compiled 41 086 to 4 334 computations (89.5% saved)

prune356.0ms (2.9%)

Memory
10.2MiB live, 448.7MiB allocated
Pruning

37 alts after pruning (30 fresh and 7 done)

PrunedKeptTotal
New1 40261 408
Fresh12425
Picked235
Done044
Total1 405371 442
Accuracy
99.9%
Counts
1 442 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.0%
(fma.f64 c (/.f64 #s(literal 1/2 binary64) b_2) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
25.7%
(/.f64 (fma.f64 b_2 b_2 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (*.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))
23.8%
(/.f64 (/.f64 (*.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal -2 binary64)) b_2) a)
12.5%
(/.f64 (/.f64 a b_2) (neg.f64 (/.f64 a (*.f64 c #s(literal -1/2 binary64)))))
26.8%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 c)) a)) a)
31.4%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))))))
17.4%
(/.f64 (-.f64 (*.f64 b_2 a) (*.f64 a (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))) (*.f64 a a))
30.3%
(/.f64 (-.f64 (neg.f64 b_2) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))) a)
56.3%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
38.7%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)))) a)
13.9%
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 1 binary64)) (*.f64 b_2 (/.f64 a (*.f64 c #s(literal -1/2 binary64)))))
34.0%
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
14.1%
(/.f64 (*.f64 a (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 c))) #s(literal -1 binary64)))) a)
12.7%
(/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2)
12.4%
(/.f64 (neg.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64)))) (*.f64 a b_2))
2.5%
(/.f64 b_2 a)
27.6%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b_2) (*.f64 a (*.f64 c #s(literal -1/2 binary64)))))
31.4%
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))))))
32.1%
(/.f64 #s(literal -2 binary64) (/.f64 a b_2))
55.7%
(-.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))) a))
55.2%
(-.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) b_2) (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))) a))
12.7%
(*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) b_2))
2.3%
(*.f64 (/.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (neg.f64 (*.f64 a (fma.f64 b_2 b_2 #s(literal 0 binary64))))) #s(literal -2 binary64))
22.1%
(*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a b_2)) #s(literal -2 binary64))
32.2%
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
22.6%
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 b_2 b_2)) (*.f64 #s(literal 1/2 binary64) (*.f64 a c))) (-.f64 #s(literal 0 binary64) b_2)))
56.2%
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))))))
18.5%
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 b_2 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) c)) (sqrt.f64 a))))
19.1%
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 b_2 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) a)) (sqrt.f64 c))))
31.4%
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)))))
25.5%
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) c) (/.f64 a b_2))
2.5%
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) b_2) #s(literal -2 binary64))
33.9%
(*.f64 (*.f64 (*.f64 c #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b_2))
28.6%
(*.f64 (*.f64 b_2 (*.f64 b_2 (/.f64 #s(literal 1 binary64) (*.f64 a b_2)))) #s(literal -2 binary64))
31.1%
(*.f64 b_2 (fma.f64 c (/.f64 #s(literal 1/2 binary64) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)))
32.2%
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
2.5%
(*.f64 #s(literal 2 binary64) (/.f64 b_2 a))
Compiler

Compiled 1 327 to 581 computations (56.2% saved)

regimes83.0ms (0.7%)

Memory
-43.3MiB live, 92.9MiB allocated
Counts
62 → 3
Calls
Call 1
Inputs
(/.f64 b_2 a)
(*.f64 #s(literal 2 binary64) (/.f64 b_2 a))
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/.f64 (-.f64 (neg.f64 b_2) b_2) a)
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) b_2) #s(literal -2 binary64))
(/.f64 #s(literal -2 binary64) (/.f64 a b_2))
(/.f64 (neg.f64 (*.f64 (*.f64 c #s(literal -1/2 binary64)) #s(literal 1 binary64))) b_2)
(*.f64 (*.f64 (*.f64 c #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b_2))
(*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a b_2)) #s(literal -2 binary64))
(*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 a b_2)) a)
(*.f64 (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a b_2)) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -1/2 binary64)) b_2))
(/.f64 (*.f64 (fma.f64 a c #s(literal 0 binary64)) #s(literal -1/2 binary64)) (*.f64 a b_2))
(/.f64 (neg.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64)))) (*.f64 a b_2))
(*.f64 (*.f64 b_2 (*.f64 b_2 (/.f64 #s(literal 1 binary64) (*.f64 a b_2)))) #s(literal -2 binary64))
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 b_2))) a)
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) c) (/.f64 a b_2))
(*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) b_2))
(*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) a) (/.f64 a b_2))
(/.f64 (*.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)) a)
(/.f64 (*.f64 c (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) a)) a)
(/.f64 (/.f64 (*.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal -2 binary64)) b_2) a)
(fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a))
(fma.f64 c (/.f64 #s(literal 1/2 binary64) b_2) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)))) a)
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) (*.f64 a (/.f64 #s(literal 1 binary64) a)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b_2) (*.f64 a (*.f64 c #s(literal -1/2 binary64)))))
(*.f64 b_2 (fma.f64 c (/.f64 #s(literal 1/2 binary64) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b_2) (*.f64 (fma.f64 a c #s(literal 0 binary64)) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(*.f64 (/.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (neg.f64 (*.f64 a (fma.f64 b_2 b_2 #s(literal 0 binary64))))) #s(literal -2 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 1 binary64)) (*.f64 b_2 (/.f64 a (*.f64 c #s(literal -1/2 binary64)))))
(/.f64 (/.f64 a b_2) (neg.f64 (/.f64 a (*.f64 c #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))))))
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(*.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) a))
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 b_2 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) a)) (sqrt.f64 c))))
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 b_2 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) c)) (sqrt.f64 a))))
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 c)) a)) a)
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))))))))
(-.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))) a))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) b_2) a) (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))) a))
(/.f64 (-.f64 (*.f64 b_2 a) (*.f64 a (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))) (*.f64 a a))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))))))
(-.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) b_2) (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))) a))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))
(/.f64 (fma.f64 b_2 b_2 (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (*.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))
(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))) a)
(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))))))) a)
(/.f64 (-.f64 (neg.f64 b_2) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))) a)
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b_2) a) (*.f64 a a)) (/.f64 (*.f64 a (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))))) (*.f64 a a)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 b_2 b_2)) (*.f64 #s(literal 1/2 binary64) (*.f64 a c))) (-.f64 #s(literal 0 binary64) b_2)))
(/.f64 (*.f64 a (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 c))) #s(literal -1 binary64)))) a)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (exp.f64 (log.f64 b_2)) (exp.f64 (log.f64 b_2)) (-.f64 #s(literal 0 binary64) (*.f64 a c))))) a)
Outputs
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(-.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))) a))
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
Calls

4 calls:

22.0ms
c
22.0ms
a
18.0ms
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
17.0ms
b_2
Results
AccuracySegmentsBranch
56.3%1a
90.8%3b_2
59.6%3c
75.6%5(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Compiler

Compiled 28 to 19 computations (32.1% saved)

regimes16.0ms (0.1%)

Memory
26.0MiB live, 26.0MiB allocated
Counts
47 → 3
Calls
Call 1
Inputs
(/.f64 b_2 a)
(*.f64 #s(literal 2 binary64) (/.f64 b_2 a))
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/.f64 (-.f64 (neg.f64 b_2) b_2) a)
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) b_2) #s(literal -2 binary64))
(/.f64 #s(literal -2 binary64) (/.f64 a b_2))
(/.f64 (neg.f64 (*.f64 (*.f64 c #s(literal -1/2 binary64)) #s(literal 1 binary64))) b_2)
(*.f64 (*.f64 (*.f64 c #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b_2))
(*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a b_2)) #s(literal -2 binary64))
(*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 a b_2)) a)
(*.f64 (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a b_2)) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -1/2 binary64)) b_2))
(/.f64 (*.f64 (fma.f64 a c #s(literal 0 binary64)) #s(literal -1/2 binary64)) (*.f64 a b_2))
(/.f64 (neg.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64)))) (*.f64 a b_2))
(*.f64 (*.f64 b_2 (*.f64 b_2 (/.f64 #s(literal 1 binary64) (*.f64 a b_2)))) #s(literal -2 binary64))
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 b_2))) a)
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) c) (/.f64 a b_2))
(*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) b_2))
(*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) a) (/.f64 a b_2))
(/.f64 (*.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)) a)
(/.f64 (*.f64 c (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) a)) a)
(/.f64 (/.f64 (*.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal -2 binary64)) b_2) a)
(fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a))
(fma.f64 c (/.f64 #s(literal 1/2 binary64) b_2) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)))) a)
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) (*.f64 a (/.f64 #s(literal 1 binary64) a)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b_2) (*.f64 a (*.f64 c #s(literal -1/2 binary64)))))
(*.f64 b_2 (fma.f64 c (/.f64 #s(literal 1/2 binary64) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b_2) (*.f64 (fma.f64 a c #s(literal 0 binary64)) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(*.f64 (/.f64 (*.f64 b_2 (fma.f64 b_2 b_2 #s(literal 0 binary64))) (neg.f64 (*.f64 a (fma.f64 b_2 b_2 #s(literal 0 binary64))))) #s(literal -2 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 1 binary64)) (*.f64 b_2 (/.f64 a (*.f64 c #s(literal -1/2 binary64)))))
(/.f64 (/.f64 a b_2) (neg.f64 (/.f64 a (*.f64 c #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))))))
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64)))))))
(*.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) a))
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 b_2 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) a)) (sqrt.f64 c))))
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 b_2 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) c)) (sqrt.f64 a))))
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64)))))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 c)) a)) a)
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a c (fma.f64 b_2 b_2 #s(literal 0 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (fma.f64 a c #s(literal 0 binary64))))))))
Outputs
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
Calls

1 calls:

13.0ms
b_2
Results
AccuracySegmentsBranch
90.8%3b_2
Compiler

Compiled 4 to 3 computations (25% saved)

regimes16.0ms (0.1%)

Memory
-18.3MiB live, 16.6MiB allocated
Counts
33 → 3
Calls
Call 1
Inputs
(/.f64 b_2 a)
(*.f64 #s(literal 2 binary64) (/.f64 b_2 a))
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/.f64 (-.f64 (neg.f64 b_2) b_2) a)
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) b_2) #s(literal -2 binary64))
(/.f64 #s(literal -2 binary64) (/.f64 a b_2))
(/.f64 (neg.f64 (*.f64 (*.f64 c #s(literal -1/2 binary64)) #s(literal 1 binary64))) b_2)
(*.f64 (*.f64 (*.f64 c #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b_2))
(*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a b_2)) #s(literal -2 binary64))
(*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 a b_2)) a)
(*.f64 (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a b_2)) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -1/2 binary64)) b_2))
(/.f64 (*.f64 (fma.f64 a c #s(literal 0 binary64)) #s(literal -1/2 binary64)) (*.f64 a b_2))
(/.f64 (neg.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64)))) (*.f64 a b_2))
(*.f64 (*.f64 b_2 (*.f64 b_2 (/.f64 #s(literal 1 binary64) (*.f64 a b_2)))) #s(literal -2 binary64))
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 b_2))) a)
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) c) (/.f64 a b_2))
(*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) b_2))
(*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) a) (/.f64 a b_2))
(/.f64 (*.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)) a)
(/.f64 (*.f64 c (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) a)) a)
(/.f64 (/.f64 (*.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal -2 binary64)) b_2) a)
(fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a))
(fma.f64 c (/.f64 #s(literal 1/2 binary64) b_2) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)))) a)
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) (*.f64 a (/.f64 #s(literal 1 binary64) a)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b_2) (*.f64 a (*.f64 c #s(literal -1/2 binary64)))))
(*.f64 b_2 (fma.f64 c (/.f64 #s(literal 1/2 binary64) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b_2) (*.f64 (fma.f64 a c #s(literal 0 binary64)) #s(literal -1/2 binary64))))
Outputs
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)))) a)
(fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a))
Calls

1 calls:

14.0ms
b_2
Results
AccuracySegmentsBranch
87.0%3b_2
Compiler

Compiled 4 to 3 computations (25% saved)

regimes20.0ms (0.2%)

Memory
-3.6MiB live, 33.4MiB allocated
Counts
27 → 2
Calls
Call 1
Inputs
(/.f64 b_2 a)
(*.f64 #s(literal 2 binary64) (/.f64 b_2 a))
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/.f64 (-.f64 (neg.f64 b_2) b_2) a)
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) b_2) #s(literal -2 binary64))
(/.f64 #s(literal -2 binary64) (/.f64 a b_2))
(/.f64 (neg.f64 (*.f64 (*.f64 c #s(literal -1/2 binary64)) #s(literal 1 binary64))) b_2)
(*.f64 (*.f64 (*.f64 c #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b_2))
(*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a b_2)) #s(literal -2 binary64))
(*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 a b_2)) a)
(*.f64 (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a b_2)) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -1/2 binary64)) b_2))
(/.f64 (*.f64 (fma.f64 a c #s(literal 0 binary64)) #s(literal -1/2 binary64)) (*.f64 a b_2))
(/.f64 (neg.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64)))) (*.f64 a b_2))
(*.f64 (*.f64 b_2 (*.f64 b_2 (/.f64 #s(literal 1 binary64) (*.f64 a b_2)))) #s(literal -2 binary64))
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 b_2))) a)
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) c) (/.f64 a b_2))
(*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) b_2))
(*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) a) (/.f64 a b_2))
(/.f64 (*.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)) a)
(/.f64 (*.f64 c (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) a)) a)
(/.f64 (/.f64 (*.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal -2 binary64)) b_2) a)
(fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a))
(fma.f64 c (/.f64 #s(literal 1/2 binary64) b_2) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
Outputs
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a))
Calls

2 calls:

10.0ms
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
8.0ms
b_2
Results
AccuracySegmentsBranch
45.5%3(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
63.9%2b_2
Compiler

Compiled 20 to 13 computations (35% saved)

regimes9.0ms (0.1%)

Memory
17.6MiB live, 17.6MiB allocated
Counts
25 → 2
Calls
Call 1
Inputs
(/.f64 b_2 a)
(*.f64 #s(literal 2 binary64) (/.f64 b_2 a))
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/.f64 (-.f64 (neg.f64 b_2) b_2) a)
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) b_2) #s(literal -2 binary64))
(/.f64 #s(literal -2 binary64) (/.f64 a b_2))
(/.f64 (neg.f64 (*.f64 (*.f64 c #s(literal -1/2 binary64)) #s(literal 1 binary64))) b_2)
(*.f64 (*.f64 (*.f64 c #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b_2))
(*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a b_2)) #s(literal -2 binary64))
(*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 a b_2)) a)
(*.f64 (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 a b_2)) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -1/2 binary64)) b_2))
(/.f64 (*.f64 (fma.f64 a c #s(literal 0 binary64)) #s(literal -1/2 binary64)) (*.f64 a b_2))
(/.f64 (neg.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64)))) (*.f64 a b_2))
(*.f64 (*.f64 b_2 (*.f64 b_2 (/.f64 #s(literal 1 binary64) (*.f64 a b_2)))) #s(literal -2 binary64))
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 b_2))) a)
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) c) (/.f64 a b_2))
(*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) b_2))
(*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) a) (/.f64 a b_2))
(/.f64 (*.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)) a)
(/.f64 (*.f64 c (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) a)) a)
(/.f64 (/.f64 (*.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) #s(literal -2 binary64)) b_2) a)
Outputs
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
Calls

1 calls:

8.0ms
b_2
Results
AccuracySegmentsBranch
63.9%2b_2
Compiler

Compiled 4 to 3 computations (25% saved)

regimes14.0ms (0.1%)

Memory
-25.4MiB live, 22.6MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
(/.f64 b_2 a)
(*.f64 #s(literal 2 binary64) (/.f64 b_2 a))
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2)
Outputs
(/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2)
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
Calls

4 calls:

6.0ms
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
3.0ms
a
2.0ms
b_2
2.0ms
c
Results
AccuracySegmentsBranch
32.2%1(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
32.2%1a
32.2%1c
41.8%2b_2
Compiler

Compiled 28 to 19 computations (32.1% saved)

regimes7.0ms (0.1%)

Memory
15.5MiB live, 15.5MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
(/.f64 b_2 a)
(*.f64 #s(literal 2 binary64) (/.f64 b_2 a))
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
Outputs
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
Calls

3 calls:

2.0ms
c
2.0ms
b_2
2.0ms
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Results
AccuracySegmentsBranch
32.2%1c
32.2%1(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
32.2%1b_2
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory
18.0MiB live, 18.0MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
(/.f64 b_2 a)
(*.f64 #s(literal 2 binary64) (/.f64 b_2 a))
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
Outputs
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
Calls

4 calls:

2.0ms
a
2.0ms
c
2.0ms
b_2
2.0ms
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Results
AccuracySegmentsBranch
32.2%1a
32.2%1b_2
32.2%1c
32.2%1(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Compiler

Compiled 28 to 19 computations (32.1% saved)

regimes8.0ms (0.1%)

Memory
-22.9MiB live, 16.0MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

3.0ms
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
2.0ms
c
1.0ms
b_2
1.0ms
a
Results
AccuracySegmentsBranch
2.5%1a
2.5%1b_2
2.5%1c
2.5%1(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Compiler

Compiled 28 to 19 computations (32.1% saved)

bsearch43.0ms (0.4%)

Memory
20.7MiB live, 57.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
5.724360432566722e+112
6.412229980574204e+117
25.0ms
-1.5068295806832575e-52
-3.889992602735304e-61
Samples
15.0ms230×0valid
6.0ms33×2valid
3.0ms25×1valid
2.0ms31×0invalid
Compiler

Compiled 559 to 376 computations (32.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 5.0ms (28.7% of total)
ival-sub: 4.0ms (22.9% of total)
ival-div: 3.0ms (17.2% of total)
ival-sqrt: 3.0ms (17.2% of total)
ival-neg: 2.0ms (11.5% of total)
adjust: 1.0ms (5.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch43.0ms (0.3%)

Memory
-30.8MiB live, 49.0MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
Steps
TimeLeftRight
9.0ms
5.724360432566722e+112
6.412229980574204e+117
26.0ms
-1.5068295806832575e-52
-3.889992602735304e-61
Samples
12.0ms185×0valid
7.0ms20×2valid
5.0ms35×1valid
3.0ms38×0invalid
Compiler

Compiled 409 to 286 computations (30.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-div: 6.0ms (32% of total)
ival-mult: 4.0ms (21.3% of total)
ival-sub: 3.0ms (16% of total)
ival-neg: 2.0ms (10.7% of total)
ival-sqrt: 2.0ms (10.7% of total)
adjust: 1.0ms (5.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch40.0ms (0.3%)

Memory
38.1MiB live, 77.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
2.054883567907685e-13
2.740746173380148e-11
24.0ms
-1.5068295806832575e-52
-3.889992602735304e-61
Samples
14.0ms192×0valid
6.0ms34×2valid
4.0ms30×1valid
3.0ms42×0invalid
Compiler

Compiled 438 to 325 computations (25.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 5.0ms (29.2% of total)
ival-sub: 4.0ms (23.4% of total)
ival-div: 3.0ms (17.5% of total)
ival-sqrt: 3.0ms (17.5% of total)
ival-neg: 2.0ms (11.7% of total)
adjust: 1.0ms (5.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch29.0ms (0.2%)

Memory
-21.1MiB live, 57.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
27.0ms
-1.1546040007748519e-294
3.3575607126428713e-302
Samples
12.0ms176×0valid
7.0ms81×0invalid
Compiler

Compiled 272 to 203 computations (25.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 3.0ms (28.9% of total)
ival-sub: 2.0ms (19.3% of total)
ival-div: 2.0ms (19.3% of total)
ival-sqrt: 2.0ms (19.3% of total)
ival-neg: 1.0ms (9.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch27.0ms (0.2%)

Memory
-4.5MiB live, 38.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
24.0ms
-1.1546040007748519e-294
3.3575607126428713e-302
Samples
12.0ms176×0valid
4.0ms62×0invalid
Compiler

Compiled 217 to 170 computations (21.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 3.0ms (31.1% of total)
ival-sub: 2.0ms (20.7% of total)
ival-div: 2.0ms (20.7% of total)
ival-sqrt: 2.0ms (20.7% of total)
ival-neg: 1.0ms (10.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch25.0ms (0.2%)

Memory
25.2MiB live, 25.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
22.0ms
-4.388914897039927e-29
-2.7434071248642393e-36
Samples
5.0ms79×0valid
5.0ms27×2valid
5.0ms37×1valid
2.0ms30×0invalid
0.0ms3valid
Compiler

Compiled 181 to 142 computations (21.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 3.0ms (25.5% of total)
ival-div: 2.0ms (17% of total)
ival-sub: 2.0ms (17% of total)
ival-sqrt: 2.0ms (17% of total)
adjust: 1.0ms (8.5% of total)
ival-neg: 1.0ms (8.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

simplify15.0ms (0.1%)

Memory
-24.0MiB live, 14.3MiB allocated
Algorithm
egg-herbie
Rules
44×+-commutative_binary64
42×*-commutative_binary64
38×sub-neg_binary64
30×neg-mul-1_binary64
26×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065158
196158
2131158
3167158
4187158
5195158
6197158
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 b_2 #s(literal -7067388259113537/14134776518227074636666380005943348126619871175004951664972849610340958208 binary64)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 980000000000000042588861866665155218439115207952907271616993054987372560863593169324098172108945539016596868038656 binary64)) (-.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))) a)) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
(if (<=.f64 b_2 #s(literal -1051437920018875/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 15000000000000000233391241942002645364023020953815921500546558706462506717471335548974780848725711715143094213017600 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
(if (<=.f64 b_2 #s(literal -3588908100331093/27606985387162255149739023449108101809804435888681546220650096895197184 binary64)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 8318957063997755/39614081257132168796771975168 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)))) a) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a))))
(if (<=.f64 b_2 #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)))
(if (<=.f64 b_2 #s(literal -8703296892214357/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
(if (<=.f64 b_2 #s(literal -4192540097323757/178405961588244985132285746181186892047843328 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
(/.f64 b_2 a)
Outputs
(if (<=.f64 b_2 #s(literal -7067388259113537/14134776518227074636666380005943348126619871175004951664972849610340958208 binary64)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 980000000000000042588861866665155218439115207952907271616993054987372560863593169324098172108945539016596868038656 binary64)) (-.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))) a)) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
(if (<=.f64 b_2 #s(literal -7067388259113537/14134776518227074636666380005943348126619871175004951664972849610340958208 binary64)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 980000000000000042588861866665155218439115207952907271616993054987372560863593169324098172108945539016596868038656 binary64)) (-.f64 (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (fma.f64 a c #s(literal 0 binary64))))) (-.f64 #s(literal 0 binary64) a)) (/.f64 b_2 a)) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
(if (<=.f64 b_2 #s(literal -1051437920018875/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 15000000000000000233391241942002645364023020953815921500546558706462506717471335548974780848725711715143094213017600 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
(if (<=.f64 b_2 #s(literal -1051437920018875/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 15000000000000000233391241942002645364023020953815921500546558706462506717471335548974780848725711715143094213017600 binary64)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))) a) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
(if (<=.f64 b_2 #s(literal -3588908100331093/27606985387162255149739023449108101809804435888681546220650096895197184 binary64)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 8318957063997755/39614081257132168796771975168 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)))) a) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a))))
(if (<=.f64 b_2 #s(literal -3588908100331093/27606985387162255149739023449108101809804435888681546220650096895197184 binary64)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 8318957063997755/39614081257132168796771975168 binary64)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)))) a) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a))))
(if (<=.f64 b_2 #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)))
(if (<=.f64 b_2 #s(literal -8703296892214357/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
(if (<=.f64 b_2 #s(literal -4192540097323757/178405961588244985132285746181186892047843328 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
(if (<=.f64 b_2 #s(literal -4192540097323757/178405961588244985132285746181186892047843328 binary64)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
(/.f64 b_2 a)

soundness1.3s (10.4%)

Memory
13.4MiB live, 860.6MiB allocated
Rules
14 688×accelerator-lowering-fma.f32
14 688×accelerator-lowering-fma.f64
10 732×accelerator-lowering-fma.f32
10 732×accelerator-lowering-fma.f64
8 494×accelerator-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033148
1219144
21901144
08527137
05283081
116573043
255133021
082892889
01039
16139
249637
3659237
0841537
06986667
122526617
272316575
083376341
012709799
142129515
090999148
0127010651
1420210336
091779961
031129
1219118
22032109
0905799
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 482 to 282 computations (41.5% saved)

preprocess85.0ms (0.7%)

Memory
-10.9MiB live, 143.0MiB allocated
Compiler

Compiled 548 to 200 computations (63.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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