quad2p (problem 3.2.1, positive)

Time bar (total: 12.7s)

analyze174.0ms (1.4%)

Algorithm
1×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 17 to 11 computations (35.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 81.0ms
ival-add: 29.0ms (35.9% of total)
ival-mult: 18.0ms (22.3% of total)
ival-div: 9.0ms (11.1% of total)
ival-sqrt: 9.0ms (11.1% of total)
ival-sub: 7.0ms (8.7% of total)
ival-neg: 7.0ms (8.7% of total)
const: 1.0ms (1.2% of total)
backward-pass: 1.0ms (1.2% of total)

sample1.7s (13.5%)

Results
577.0ms1941×2valid
539.0ms5505×0valid
144.0ms810×1valid
114.0ms1146×0invalid
Precisions
Click to see histograms. Total time spent on operations: 846.0ms
ival-mult: 226.0ms (26.7% of total)
ival-div: 146.0ms (17.3% of total)
ival-sqrt: 136.0ms (16.1% of total)
ival-neg: 86.0ms (10.2% of total)
backward-pass: 86.0ms (10.2% of total)
ival-add: 83.0ms (9.8% of total)
ival-sub: 76.0ms (9% of total)
const: 9.0ms (1.1% of total)
Bogosity

preprocess156.0ms (1.2%)

Algorithm
2×egg-herbie
Rules
1914×fnmsub-define
1824×sum3-define
1694×sum5-define
1650×fmm-def
1308×sum5-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
048121
1139113
2302101
3874101
42841101
55839101
01012
12411
24310
38110
414510
529010
656610
7112710
8192910
9298510
10401210
11409310
12411210
13412010
0412010
Stop Event
1×iter limit
1×saturated
1×node limit
Calls
Call 1
Inputs
(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
Outputs
(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
Call 2
Inputs
(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* (neg a) c)))) (neg a))
(/ (+ (neg (neg b_2)) (sqrt (- (* (neg b_2) (neg b_2)) (* a c)))) a)
(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a (neg c))))) a)
(neg (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* (neg a) c)))) (neg a)))
(neg (/ (+ (neg (neg b_2)) (sqrt (- (* (neg b_2) (neg b_2)) (* a c)))) a))
(neg (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a (neg c))))) a))
(/ (+ (neg a) (sqrt (- (* a a) (* b_2 c)))) b_2)
(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* c a)))) c)
(/ (+ (neg c) (sqrt (- (* c c) (* a b_2)))) a)
Outputs
(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
(/ (- (sqrt (fnmadd a c (square b_2))) b_2) a)
(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* (neg a) c)))) (neg a))
(/ (- b_2 (sqrt (fma a c (square b_2)))) a)
(/ (+ (neg (neg b_2)) (sqrt (- (* (neg b_2) (neg b_2)) (* a c)))) a)
(/ (+ b_2 (sqrt (fnmadd a c (square b_2)))) a)
(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a (neg c))))) a)
(/ (- (sqrt (fma a c (square b_2))) b_2) a)
(neg (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* (neg a) c)))) (neg a)))
(/ (- (sqrt (fma a c (square b_2))) b_2) a)
(neg (/ (+ (neg (neg b_2)) (sqrt (- (* (neg b_2) (neg b_2)) (* a c)))) a))
(/ (+ b_2 (sqrt (fnmadd a c (square b_2)))) (neg a))
(neg (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a (neg c))))) a))
(/ (- b_2 (sqrt (fma a c (square b_2)))) a)
(/ (+ (neg a) (sqrt (- (* a a) (* b_2 c)))) b_2)
(/ (- (sqrt (fnmadd b_2 c (square a))) a) b_2)
(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* c a)))) c)
(/ (- (sqrt (fnmadd a c (square b_2))) b_2) c)
(/ (+ (neg c) (sqrt (- (* c c) (* a b_2)))) a)
(/ (- (sqrt (fnmadd b_2 a (square c))) c) a)

explain271.0ms (2.1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1100-0-(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
511(-2.0773334262986123e+20 5.6930001114427973e+191 1.7019045034155131e-152)0-(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
120-2(2.904094559839055e-9 1.6867003673283895e+244 -2.373764191867721e-69)(/.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-c
00-0-(*.f64 a c)
00-0-b_2
00-0-(neg.f64 b_2)
00-0-a
00-0-(*.f64 b_2 b_2)
Results
55.0ms362×0valid
45.0ms112×2valid
22.0ms38×1valid
Compiler

Compiled 124 to 32 computations (74.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-mult: 11.0ms (26% of total)
ival-sqrt: 6.0ms (14.2% of total)
ival-div: 6.0ms (14.2% of total)
backward-pass: 6.0ms (14.2% of total)
ival-neg: 5.0ms (11.8% of total)
ival-sub: 4.0ms (9.4% of total)
ival-add: 4.0ms (9.4% of total)
const: 1.0ms (2.4% of total)

eval0.0ms (0%)

Compiler

Compiled 15 to 9 computations (40% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶55.9%
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
Compiler

Compiled 15 to 9 computations (40% saved)

simplify70.0ms (0.6%)

Algorithm
1×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 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)
✓cost-diff0
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
Rules
816×fnmadd-define
682×sum3-define
584×fmsub-define
564×fnmsub-define
544×sum4-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0941
12341
24137
37237
412637
523937
646237
786437
8159237
9257037
10307037
11310437
12324837
13326437
0326437
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
(sqrt (- (* b_2 b_2) (* a c)))
(- (* b_2 b_2) (* a c))
(* b_2 b_2)
b_2
(* a c)
a
c
Outputs
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
(-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)
(sqrt (- (* b_2 b_2) (* a c)))
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
(- (* b_2 b_2) (* a c))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(* b_2 b_2)
(*.f64 b_2 b_2)
b_2
(* a c)
(*.f64 a c)
a
c

localize108.0ms (0.9%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy98.7%
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
✓accuracy96.0%
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
✓accuracy82.0%
(-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)
✓accuracy59.9%
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
Results
71.0ms56×2valid
21.0ms181×0valid
4.0ms19×1valid
Compiler

Compiled 50 to 10 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 6.0ms (31.4% of total)
ival-sub: 4.0ms (20.9% of total)
ival-div: 3.0ms (15.7% of total)
ival-sqrt: 3.0ms (15.7% of total)
backward-pass: 3.0ms (15.7% of total)
const: 0.0ms (0% of total)

series20.0ms (0.2%)

Counts
4 → 144
Calls
Call 1
Inputs
#<alt (/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)>
#<alt (- (sqrt (- (* b_2 b_2) (* a c))) b_2)>
#<alt (sqrt (- (* b_2 b_2) (* a c)))>
#<alt (- (* b_2 b_2) (* a c))>
Outputs
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1/2 (/ c b_2))>
#<alt (/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)>
#<alt (/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)>
#<alt (/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)>
#<alt (* -2 (/ b_2 a))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))>
#<alt (* -1/2 (/ c b_2))>
#<alt (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))>
#<alt (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))>
#<alt (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)>
#<alt (/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)>
#<alt (/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)>
#<alt (* -2 b_2)>
#<alt (* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))>
#<alt (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))>
#<alt (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))>
#<alt (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))>
#<alt (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))>
#<alt (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))>
#<alt (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))>
#<alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))>
#<alt (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))>
#<alt b_2>
#<alt (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))>
#<alt (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))>
#<alt (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))>
#<alt (* -1 b_2)>
#<alt (* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))>
#<alt (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))>
#<alt b_2>
#<alt (+ b_2 (* -1/2 (/ (* a c) b_2)))>
#<alt (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))>
#<alt (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))>
#<alt b_2>
#<alt (+ b_2 (* -1/2 (/ (* a c) b_2)))>
#<alt (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))>
#<alt (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))>
#<alt (* -1 (* a c))>
#<alt (- (pow b_2 2) (* a c))>
#<alt (- (pow b_2 2) (* a c))>
#<alt (- (pow b_2 2) (* a c))>
#<alt (pow b_2 2)>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<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
3.0ms
c
@0
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
1.0ms
b_2
@inf
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
1.0ms
a
@-inf
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
1.0ms
b_2
@0
(sqrt (- (* b_2 b_2) (* a c)))
1.0ms
c
@inf
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)

rewrite798.0ms (6.3%)

Algorithm
1×batch-egg-rewrite
Rules
3990×*-lowering-*.f32
3990×*-lowering-*.f64
2788×/-lowering-/.f32
2788×/-lowering-/.f64
1452×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0933
16533
250129
3726829
0809929
Stop Event
1×iter limit
1×node limit
Counts
4 → 386
Calls
Call 1
Inputs
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
(sqrt (- (* b_2 b_2) (* a c)))
(- (* b_2 b_2) (* a c))
Outputs
(+.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) b_2) (/.f64 b_2 (-.f64 #s(literal 0 binary64) a))))
(+.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (/.f64 b_2 (-.f64 #s(literal 0 binary64) a)))
(+.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (*.f64 #s(literal 1 binary64) (/.f64 b_2 (-.f64 #s(literal 0 binary64) a))))
(+.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) b_2)))
(+.f64 (/.f64 b_2 (-.f64 #s(literal 0 binary64) a)) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) b_2)) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a))
(+.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) #s(literal 1 binary64)) (*.f64 (/.f64 b_2 (-.f64 #s(literal 0 binary64) a)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))) #s(literal -1 binary64)))
(-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (/.f64 b_2 a))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a))
(-.f64 (/.f64 (/.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64)) (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))) a) (/.f64 (/.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))) a))
(-.f64 (/.f64 (/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) a) (/.f64 (/.f64 (*.f64 b_2 b_2) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) a))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) a)) (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a))
(-.f64 (/.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64)) (*.f64 a (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (/.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))))
(-.f64 (/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (/.f64 (*.f64 b_2 b_2) (*.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))
(-.f64 (/.f64 (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (*.f64 a a)) (/.f64 (*.f64 b_2 a) (*.f64 a a)))
(-.f64 (/.f64 (/.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64)) (*.f64 a (*.f64 a a))) (+.f64 (/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 a a)) (*.f64 (/.f64 b_2 a) (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (/.f64 (/.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 a a))) (+.f64 (/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 a a)) (*.f64 (/.f64 b_2 a) (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))))
(-.f64 (/.f64 (/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (/.f64 (/.f64 b_2 (*.f64 (/.f64 a b_2) a)) (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (/.f64 #s(literal 1 binary64) a) (/.f64 b_2 (-.f64 #s(literal 0 binary64) a)))
(neg.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
(/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 #s(literal 0 binary64) a))
(/.f64 (-.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64)) (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 a (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))
(/.f64 (-.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64)) (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (-.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64)) (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 (-.f64 #s(literal 0 binary64) b_2) (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) a))
(/.f64 (-.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64)) (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 a (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 (-.f64 #s(literal 0 binary64) b_2) (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))
(/.f64 (-.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64)) (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) (-.f64 (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (*.f64 b_2 a))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 a a)) (*.f64 (/.f64 b_2 a) (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))) (-.f64 (/.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64)) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 a a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (-.f64 (/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 a a)) (/.f64 b_2 (*.f64 (/.f64 a b_2) a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (/.f64 (-.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64)) (*.f64 b_2 (*.f64 b_2 b_2))) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (/.f64 (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)) a)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)))
(/.f64 (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)) (*.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(/.f64 (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)) (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))
(/.f64 #s(literal -1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (-.f64 (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (*.f64 b_2 a)) (*.f64 a a))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64)) (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 a (-.f64 #s(literal 0 binary64) (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64)) (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64)) (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 (-.f64 #s(literal 0 binary64) b_2) (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64)) (*.f64 b_2 (*.f64 b_2 b_2)))) (neg.f64 (*.f64 a (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))))
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(pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal 2 binary64))
(pow.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
(*.f64 (-.f64 (*.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 a (*.f64 c (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))
(*.f64 (-.f64 (*.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) (*.f64 b_2 b_2))))))
(*.f64 (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 a (*.f64 c (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 a (*.f64 c (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))
(*.f64 (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 a (*.f64 c (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 a (*.f64 c (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
(*.f64 (-.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 a (*.f64 a (*.f64 c c)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))
(*.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(*.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 a (*.f64 c (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))
(*.f64 (+.f64 (neg.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 a (*.f64 a (*.f64 c c)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(*.f64 (+.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 a c)) (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 a c)) (*.f64 #s(literal 0 binary64) (*.f64 a c))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 a c)) (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 a c)) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 a (*.f64 c (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (-.f64 (*.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 a (*.f64 a (*.f64 c c)))))
(*.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (-.f64 (*.f64 b_2 b_2) (+.f64 (*.f64 a c) (*.f64 #s(literal 0 binary64) (*.f64 a c))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (+.f64 (*.f64 a c) (*.f64 #s(literal 0 binary64) (*.f64 a c))))))
(*.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 a (*.f64 c (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 a (*.f64 a (*.f64 c c)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 1/4 binary64)))
(*.f64 (/.f64 (-.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 a (*.f64 a (*.f64 c c)))) (-.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 a (*.f64 a (*.f64 c c))))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))) (+.f64 (*.f64 (*.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a (*.f64 c (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (*.f64 (*.f64 a c) (*.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 a (*.f64 c (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))) (+.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a (*.f64 c (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 a (*.f64 c (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))) (-.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a c) (*.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 a (*.f64 c (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (-.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 a (*.f64 c (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(*.f64 (/.f64 (-.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 a (*.f64 a (*.f64 c c)))) (+.f64 (*.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b_2 b_2)))))

simplify295.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
5242×*-lowering-*.f32
5242×*-lowering-*.f64
2332×+-lowering-+.f64
2332×+-lowering-+.f32
1496×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05082984
117542788
264642763
080422763
Stop Event
1×iter limit
1×node limit
Counts
144 → 144
Calls
Call 1
Inputs
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(* -1/2 (/ c b_2))
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(* -2 (/ b_2 a))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(* -1/2 (/ c b_2))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(* (sqrt (/ c a)) (sqrt -1))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* (sqrt (* a c)) (sqrt -1))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(* -1/2 (/ (* a c) b_2))
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)
(* -2 b_2)
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* -1/2 (/ (* a c) b_2))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1/2 (/ (* a c) b_2))
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* (sqrt (* a c)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
b_2
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))
(* -1 b_2)
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* a c))
(- (pow b_2 2) (* a c))
(- (pow b_2 2) (* a c))
(- (pow b_2 2) (* a c))
(pow b_2 2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(pow b_2 2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(* -1 (* a c))
(* a (- (/ (pow b_2 2) a) c))
(* a (- (/ (pow b_2 2) a) c))
(* a (- (/ (pow b_2 2) a) c))
(* -1 (* a c))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(* -1 (* a c))
(* c (- (/ (pow b_2 2) c) a))
(* c (- (/ (pow b_2 2) c) a))
(* c (- (/ (pow b_2 2) c) a))
(* -1 (* a c))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
Outputs
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b_2 (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c)) (*.f64 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) a))))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b_2 (+.f64 (*.f64 b_2 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) c) (*.f64 c c))) (/.f64 (*.f64 b_2 b_2) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c))) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) a))))
(* -1/2 (/ c b_2))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/.f64 (+.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b_2 b_2))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/.f64 (+.f64 (+.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b_2 b_2))) (/.f64 (*.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b_2 #s(literal 4 binary64)))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(/.f64 (+.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b_2 b_2)) (/.f64 (*.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b_2 #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (+.f64 c (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 5/64 binary64))) (*.f64 a (pow.f64 b_2 #s(literal 6 binary64))))))) b_2)
(* -2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(*.f64 (+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(-.f64 #s(literal 0 binary64) (*.f64 b_2 (+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 b_2)) (+.f64 (/.f64 #s(literal 2 binary64) a) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 c a))) (pow.f64 b_2 #s(literal 4 binary64)))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(*.f64 (+.f64 (+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 b_2)) (+.f64 (/.f64 #s(literal 2 binary64) a) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 c a))) (pow.f64 b_2 #s(literal 4 binary64))))) (/.f64 (*.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b_2 #s(literal 6 binary64)))) (-.f64 #s(literal 0 binary64) b_2))
(* -1/2 (/ c b_2))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b_2 (*.f64 b_2 b_2))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 (*.f64 (*.f64 #s(literal -1/16 binary64) a) (*.f64 c (*.f64 c c))) (pow.f64 b_2 #s(literal 5 binary64))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 a (+.f64 (*.f64 (*.f64 a #s(literal -1/2 binary64)) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) (/.f64 #s(literal 5/64 binary64) b_2))) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -1/16 binary64)) (pow.f64 b_2 #s(literal 5 binary64))))))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c)) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))))) (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a)))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c)) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))))) (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) c) (*.f64 c c))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) (/.f64 b_2 a)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 b_2 a))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 b_2 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))))) a))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 b_2 (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c c))) a))))) a)) a))
(* -1/2 (/ c b_2))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(*.f64 c (+.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c a)) (*.f64 b_2 (*.f64 b_2 b_2)))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(*.f64 c (+.f64 (*.f64 c (+.f64 (/.f64 (*.f64 a #s(literal -1/8 binary64)) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 (*.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a a)) c) (pow.f64 b_2 #s(literal 5 binary64))))) (/.f64 #s(literal -1/2 binary64) b_2)))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(*.f64 c (+.f64 (*.f64 c (+.f64 (/.f64 (*.f64 a #s(literal -1/8 binary64)) (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 c (+.f64 (*.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) (/.f64 #s(literal 5/64 binary64) (*.f64 a b_2)))) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a a)) (pow.f64 b_2 #s(literal 5 binary64))))))) (/.f64 #s(literal -1/2 binary64) b_2)))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(*.f64 c (-.f64 (*.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 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(*.f64 c (+.f64 (-.f64 (*.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 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c) (*.f64 c c)))))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(*.f64 c (+.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c) (*.f64 c c)))))) (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64)))))) (/.f64 b_2 (*.f64 c a)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(*.f64 (+.f64 (/.f64 b_2 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(*.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) #s(literal -1/2 binary64))) (/.f64 b_2 a)) c)) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(*.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 b_2 a)) (/.f64 (+.f64 (*.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 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) c)))) (*.f64 (sqrt.f64 (/.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)))) c)) c)) (-.f64 #s(literal 0 binary64) c))
(* (sqrt (* a c)) (sqrt -1))
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(* (sqrt (* a c)) (sqrt -1))
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(* -1 (* (sqrt (* a c)) (sqrt -1)))
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(* -1/2 (/ (* a c) b_2))
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(* (sqrt (* a c)) (sqrt -1))
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(* -1 (* (sqrt (* a c)) (sqrt -1)))
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(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
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(* (sqrt (* a c)) (sqrt -1))
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b_2
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(* -1 b_2)
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(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a (*.f64 c (*.f64 c a)))) (pow.f64 b_2 #s(literal 4 binary64))))) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(*.f64 (+.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a (*.f64 c (*.f64 c a)))) (pow.f64 b_2 #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -1/16 binary64)) (*.f64 a (*.f64 a a))) (pow.f64 b_2 #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2)))) (-.f64 #s(literal 0 binary64) b_2))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+.f64 b_2 (/.f64 (*.f64 c (*.f64 a #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))))))
(+.f64 b_2 (*.f64 a (+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b_2 (*.f64 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))))))))
(+.f64 b_2 (*.f64 a (+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 (*.f64 (*.f64 #s(literal -1/16 binary64) a) (*.f64 c (*.f64 c c))) (pow.f64 b_2 #s(literal 5 binary64))))))))
(* (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 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c)) (/.f64 (*.f64 b_2 b_2) (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 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c)) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) c) (*.f64 c c))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (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 (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c)) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) c) (*.f64 c c))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (*.f64 #s(literal -1 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 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(-.f64 #s(literal 0 binary64) (*.f64 a (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) c) (*.f64 c c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 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 (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) #s(literal 1/2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) c) (*.f64 c c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 6 binary64))))))) (-.f64 #s(literal 0 binary64) a))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+.f64 b_2 (/.f64 (*.f64 c (*.f64 a #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))))))
(+.f64 b_2 (*.f64 c (+.f64 (/.f64 (*.f64 a #s(literal -1/2 binary64)) b_2) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) c) (*.f64 a a)) (*.f64 b_2 (*.f64 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))))))))
(+.f64 b_2 (*.f64 c (+.f64 (/.f64 (*.f64 a #s(literal -1/2 binary64)) b_2) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 a a))) #s(literal -1/16 binary64)) (pow.f64 b_2 #s(literal 5 binary64))))))))
(* (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 (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c c))) a))))))
(* 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 (+.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c c))) a))))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64)))))
(* 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 (+.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c c))) a))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64))) (*.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 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (*.f64 #s(literal -1 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 (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c c))) a))))) (-.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 (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c c))) a)))) (*.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 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 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 (+.f64 (*.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 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))))) (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c c))) a)))) (*.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 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64))))))))) (-.f64 #s(literal 0 binary64) c))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 c a))
(- (pow b_2 2) (* a c))
(-.f64 (*.f64 b_2 b_2) (*.f64 c a))
(- (pow b_2 2) (* a c))
(-.f64 (*.f64 b_2 b_2) (*.f64 c a))
(- (pow b_2 2) (* a c))
(-.f64 (*.f64 b_2 b_2) (*.f64 c a))
(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) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 c a) (*.f64 b_2 b_2))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(*.f64 (*.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 c a) (*.f64 b_2 b_2))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(*.f64 (*.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 c 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) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 c a) (*.f64 b_2 b_2))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(*.f64 (*.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 c a) (*.f64 b_2 b_2))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(*.f64 (*.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 c a) (*.f64 b_2 b_2))))
(pow b_2 2)
(*.f64 b_2 b_2)
(+ (* -1 (* a c)) (pow b_2 2))
(-.f64 (*.f64 b_2 b_2) (*.f64 c a))
(+ (* -1 (* a c)) (pow b_2 2))
(-.f64 (*.f64 b_2 b_2) (*.f64 c a))
(+ (* -1 (* a c)) (pow b_2 2))
(-.f64 (*.f64 b_2 b_2) (*.f64 c a))
(* -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))
(-.f64 (*.f64 b_2 b_2) (*.f64 c a))
(+ (* -1 (* a c)) (pow b_2 2))
(-.f64 (*.f64 b_2 b_2) (*.f64 c a))
(+ (* -1 (* a c)) (pow b_2 2))
(-.f64 (*.f64 b_2 b_2) (*.f64 c a))
(* -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))

eval106.0ms (0.8%)

Compiler

Compiled 20026 to 2064 computations (89.7% saved)

prune126.0ms (1%)

Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New51416530
Fresh000
Picked011
Done000
Total51417531
Accuracy
88.5%
Counts
531 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.2%
(/.f64 (/.f64 (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)) a) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
24.6%
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) b_2) a)
55.8%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)))
12.7%
(/.f64 (-.f64 (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2)))) b_2) a)
38.9%
(/.f64 (-.f64 (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (*.f64 b_2 a)) (*.f64 a a))
✓55.9%
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
36.4%
(/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2) a)
▶32.6%
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) b_2)) a)
31.4%
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
▶35.2%
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
31.2%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (/.f64 (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)) a)))
▶55.9%
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)))
55.8%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) (-.f64 #s(literal 0 binary64) a)))
▶55.3%
(-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (/.f64 b_2 a))
55.8%
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))
▶38.2%
(*.f64 (-.f64 (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (*.f64 b_2 a)) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
34.4%
(*.f64 (+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) b_2))
Compiler

Compiled 595 to 365 computations (38.7% saved)

simplify207.0ms (1.6%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
✓cost-diff0
(*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
✓cost-diff128
(-.f64 (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (*.f64 b_2 a))
✓cost-diff384
(*.f64 (-.f64 (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (*.f64 b_2 a)) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
✓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 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)
✓cost-diff128
(-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (/.f64 b_2 a))
✓cost-diff0
(/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
✓cost-diff0
(+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2)))
✓cost-diff0
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) b_2)) a)
✓cost-diff128
(*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) b_2))
✓cost-diff0
(*.f64 b_2 #s(literal -2 binary64))
✓cost-diff0
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
✓cost-diff0
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
✓cost-diff0
(-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)
✓cost-diff0
(/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)))
Rules
2890×*-lowering-*.f32
2890×*-lowering-*.f64
1594×fma-define
1330×/-lowering-/.f32
1330×/-lowering-/.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
033237
187233
2205216
3606216
42317214
57344214
08001214
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2)))
1
(/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2))
a
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
(sqrt (- (* b_2 b_2) (* a c)))
(- (* b_2 b_2) (* a c))
(* b_2 b_2)
b_2
(* a c)
c
(/ (* b_2 -2) a)
(* b_2 -2)
b_2
-2
a
(/ (* (+ 2 (/ (* c (* a -1/2)) (* b_2 b_2))) (- 0 b_2)) a)
(* (+ 2 (/ (* c (* a -1/2)) (* b_2 b_2))) (- 0 b_2))
(+ 2 (/ (* c (* a -1/2)) (* b_2 b_2)))
2
(/ (* c (* a -1/2)) (* b_2 b_2))
(* c (* a -1/2))
c
(* a -1/2)
a
-1/2
(* b_2 b_2)
b_2
(- 0 b_2)
0
(- (/ (sqrt (- (* b_2 b_2) (* a c))) a) (/ b_2 a))
(/ (sqrt (- (* b_2 b_2) (* a c))) a)
(sqrt (- (* b_2 b_2) (* a c)))
(- (* b_2 b_2) (* a c))
(* b_2 b_2)
b_2
(* a c)
a
c
(/ b_2 a)
(* (- (* a (sqrt (- (* b_2 b_2) (* a c)))) (* b_2 a)) (/ 1 (* a a)))
(- (* a (sqrt (- (* b_2 b_2) (* a c)))) (* b_2 a))
(* a (sqrt (- (* b_2 b_2) (* a c))))
a
(sqrt (- (* b_2 b_2) (* a c)))
(- (* b_2 b_2) (* a c))
(* b_2 b_2)
b_2
(* a c)
c
(* b_2 a)
(/ 1 (* a a))
1
(* a a)
Outputs
(/ 1 (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
1
#s(literal 1 binary64)
(/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2))
(/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))
a
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
(-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)
(sqrt (- (* b_2 b_2) (* a c)))
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
(- (* b_2 b_2) (* a c))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(* b_2 b_2)
(*.f64 b_2 b_2)
b_2
(* a c)
(*.f64 a c)
c
(/ (* b_2 -2) a)
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(* b_2 -2)
(*.f64 b_2 #s(literal -2 binary64))
b_2
-2
#s(literal -2 binary64)
a
(/ (* (+ 2 (/ (* c (* a -1/2)) (* b_2 b_2))) (- 0 b_2)) a)
(*.f64 (-.f64 #s(literal 0 binary64) b_2) (+.f64 (/.f64 #s(literal 2 binary64) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)))))
(* (+ 2 (/ (* c (* a -1/2)) (* b_2 b_2))) (- 0 b_2))
(*.f64 b_2 (-.f64 #s(literal -2 binary64) (*.f64 a (*.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2))))))
(+ 2 (/ (* c (* a -1/2)) (* b_2 b_2)))
(+.f64 #s(literal 2 binary64) (*.f64 a (*.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)))))
2
#s(literal 2 binary64)
(/ (* c (* a -1/2)) (* b_2 b_2))
(*.f64 a (*.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2))))
(* c (* a -1/2))
(*.f64 a (*.f64 c #s(literal -1/2 binary64)))
c
(* a -1/2)
(*.f64 a #s(literal -1/2 binary64))
a
-1/2
#s(literal -1/2 binary64)
(* b_2 b_2)
(*.f64 b_2 b_2)
b_2
(- 0 b_2)
(-.f64 #s(literal 0 binary64) b_2)
0
#s(literal 0 binary64)
(- (/ (sqrt (- (* b_2 b_2) (* a c))) a) (/ b_2 a))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
(/ (sqrt (- (* b_2 b_2) (* a c))) a)
(/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)
(sqrt (- (* b_2 b_2) (* a c)))
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
(- (* b_2 b_2) (* a c))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(* b_2 b_2)
(*.f64 b_2 b_2)
b_2
(* a c)
(*.f64 a c)
a
c
(/ b_2 a)
(/.f64 b_2 a)
(* (- (* a (sqrt (- (* b_2 b_2) (* a c)))) (* b_2 a)) (/ 1 (* a a)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
(- (* a (sqrt (- (* b_2 b_2) (* a c)))) (* b_2 a))
(*.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))
(* a (sqrt (- (* b_2 b_2) (* a c))))
(*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
a
(sqrt (- (* b_2 b_2) (* a c)))
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
(- (* b_2 b_2) (* a c))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(* b_2 b_2)
(*.f64 b_2 b_2)
b_2
(* a c)
(*.f64 a c)
c
(* b_2 a)
(*.f64 a b_2)
(/ 1 (* a a))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
1
#s(literal 1 binary64)
(* a a)
(*.f64 a a)

localize349.0ms (2.8%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy98.7%
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
✓accuracy86.1%
(-.f64 (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (*.f64 b_2 a))
✓accuracy59.9%
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
✓accuracy55.0%
(*.f64 (-.f64 (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (*.f64 b_2 a)) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
✓accuracy99.9%
(/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)
✓accuracy98.7%
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
✓accuracy79.7%
(-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (/.f64 b_2 a))
✓accuracy59.9%
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
✓accuracy100.0%
(*.f64 a #s(literal -1/2 binary64))
✓accuracy94.0%
(*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) b_2))
✓accuracy93.6%
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) b_2)) a)
✓accuracy82.3%
(/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
✓accuracy100.0%
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
✓accuracy100.0%
(*.f64 b_2 #s(literal -2 binary64))
✓accuracy98.7%
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
✓accuracy96.5%
(/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))
✓accuracy82.0%
(-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)
✓accuracy59.9%
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
Results
138.0ms181×0valid
74.0ms18×3valid
64.0ms39×2valid
17.0ms18×1valid
Compiler

Compiled 279 to 34 computations (87.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 86.0ms
ival-div: 31.0ms (35.8% of total)
ival-mult: 24.0ms (27.8% of total)
backward-pass: 13.0ms (15% of total)
ival-sub: 12.0ms (13.9% of total)
ival-sqrt: 4.0ms (4.6% of total)
ival-add: 2.0ms (2.3% of total)
const: 1.0ms (1.2% of total)

series67.0ms (0.5%)

Counts
17 → 552
Calls
Call 1
Inputs
#<alt (/ 1 (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2)))>
#<alt (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2))>
#<alt (- (sqrt (- (* b_2 b_2) (* a c))) b_2)>
#<alt (sqrt (- (* b_2 b_2) (* a c)))>
#<alt (/ (* b_2 -2) a)>
#<alt (* b_2 -2)>
#<alt (* (+ 2 (/ (* c (* a -1/2)) (* b_2 b_2))) (- 0 b_2))>
#<alt (/ (* (+ 2 (/ (* c (* a -1/2)) (* b_2 b_2))) (- 0 b_2)) a)>
#<alt (+ 2 (/ (* c (* a -1/2)) (* b_2 b_2)))>
#<alt (/ (* c (* a -1/2)) (* b_2 b_2))>
#<alt (- (/ (sqrt (- (* b_2 b_2) (* a c))) a) (/ b_2 a))>
#<alt (/ (sqrt (- (* b_2 b_2) (* a c))) a)>
#<alt (- (* b_2 b_2) (* a c))>
#<alt (* (- (* a (sqrt (- (* b_2 b_2) (* a c)))) (* b_2 a)) (/ 1 (* a a)))>
#<alt (- (* a (sqrt (- (* b_2 b_2) (* a c)))) (* b_2 a))>
#<alt (* a (sqrt (- (* b_2 b_2) (* a c))))>
#<alt (* a -1/2)>
Outputs
#<alt (* -1/2 (/ c b_2))>
#<alt (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))>
#<alt (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))>
#<alt (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1/2 (/ c b_2))>
#<alt (/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)>
#<alt (/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)>
#<alt (/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)>
#<alt (* -2 (/ b_2 a))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -2 (/ b_2 c))>
#<alt (+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))>
#<alt (+ (* -2 (/ b_2 c)) (* a (+ (* -1 (* a (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3)))))) (* 1/2 (/ 1 b_2)))))>
#<alt (+ (* -2 (/ b_2 c)) (* a (+ (* a (- (* -1 (* a (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) (pow c 2))) (+ (* -1/4 (/ (* c (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow c 2) (pow b_2 5))))))) (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3)))))) (* 1/2 (/ 1 b_2)))))>
#<alt (* (sqrt (/ a c)) (/ 1 (sqrt -1)))>
#<alt (+ (* (sqrt (/ a c)) (/ 1 (sqrt -1))) (/ b_2 (* c (pow (sqrt -1) 2))))>
#<alt (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))))>
#<alt (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b_2 3)) (* (pow c 2) (pow (sqrt -1) 4)))) (* (sqrt (/ a c)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))))>
#<alt (* -1 (* (sqrt (/ a c)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ b_2 c)))>
#<alt (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* -1 (/ (* a b_2) c))) a)))>
#<alt (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* a (pow b_2 3)) (pow c 2))) (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))))))) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1))))) a)) (* -1 (/ (* a b_2) c))) a)))>
#<alt (* (sqrt (/ a c)) (/ 1 (sqrt -1)))>
#<alt (+ (* (sqrt (/ a c)) (/ 1 (sqrt -1))) (/ b_2 (* c (pow (sqrt -1) 2))))>
#<alt (+ (* b_2 (+ (* -1 (* b_2 (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* c (pow (sqrt -1) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -1))))>
#<alt (+ (* b_2 (+ (* b_2 (- (* -1 (* b_2 (+ (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -1) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* c (pow (sqrt -1) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -1))))>
#<alt (* -2 (/ b_2 c))>
#<alt (* b_2 (- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c))))>
#<alt (* b_2 (- (* -1 (/ (+ (* -1/4 (* (pow a 2) c)) (* 1/8 (* (pow a 2) c))) (pow b_2 4))) (+ (* -1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))))>
#<alt (* b_2 (- (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (+ (* -1/4 (* a (* c (+ (* -1/4 (* (pow a 2) c)) (* 1/8 (* (pow a 2) c)))))) (* 1/16 (* (pow a 3) (pow c 2))))) (pow b_2 6))) (+ (* -1/2 (/ a (pow b_2 2))) (+ (* -1/4 (/ (* (pow a 2) c) (pow b_2 4))) (+ (* 1/8 (/ (* (pow a 2) c) (pow b_2 4))) (* 2 (/ 1 c)))))))>
#<alt (* -1/2 (/ a b_2))>
#<alt (* -1 (/ (+ (* 1/8 (/ (* (pow a 2) c) (pow b_2 2))) (* 1/2 a)) b_2))>
#<alt (* -1 (/ (- (+ (* 1/16 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 1/2 a)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 2)))) b_2))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (* -1/32 (* (pow a 4) (pow c 3))) (* -1/128 (* (pow a 4) (pow c 3)))) (pow b_2 6))) (* 1/2 a)) (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))))) b_2))>
#<alt (* -2 (/ b_2 c))>
#<alt (/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) c)>
#<alt (/ (+ (* -2 b_2) (* c (- (* -1 (* c (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3)))))) (* -1/2 (/ a b_2))))) c)>
#<alt (/ (+ (* -2 b_2) (* c (- (* c (- (* -1 (* c (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) a)) (+ (* -1/4 (/ (* a (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow a 3) (pow b_2 5))))))) (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3)))))) (* -1/2 (/ a b_2))))) c)>
#<alt (* (sqrt (/ a c)) (/ 1 (sqrt -1)))>
#<alt (/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (/ b_2 (pow (sqrt -1) 2))) c)>
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (pow (sqrt -1) 2)))) c)>
#<alt (/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b_2 3) (pow c 2)) (* a (pow (sqrt -1) 4)))) (* (sqrt (/ c a)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1 (/ b_2 (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3))))))) c)>
#<alt (* -1 (* (sqrt (/ a c)) (sqrt -1)))>
#<alt (* -1 (/ (+ b_2 (* (sqrt (* a c)) (sqrt -1))) c))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) (* b_2 c)) c)) (* (sqrt (* a c)) (sqrt -1))) c))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* (pow b_2 3) c) a)) (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1))))))))) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))))) c)) (* b_2 c)) c)) (* (sqrt (* a c)) (sqrt -1))) c))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)>
#<alt (/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)>
#<alt (/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)>
#<alt (* -2 b_2)>
#<alt (* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))>
#<alt (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))>
#<alt (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))>
#<alt (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))>
#<alt (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))>
#<alt (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))>
#<alt (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))>
#<alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))>
#<alt (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))>
#<alt b_2>
#<alt (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))>
#<alt (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))>
#<alt (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))>
#<alt (* -1 b_2)>
#<alt (* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))>
#<alt (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))>
#<alt b_2>
#<alt (+ b_2 (* -1/2 (/ (* a c) b_2)))>
#<alt (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))>
#<alt (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
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#<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 (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2)))>
#<alt (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2)))>
#<alt (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2)))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* c (+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2))))>
#<alt (* c (+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2))))>
#<alt (* c (+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2))))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* -1 (* c (+ (* -1/2 (/ a b_2)) (* 2 (/ b_2 c)))))>
#<alt (* -1 (* c (+ (* -1/2 (/ a b_2)) (* 2 (/ b_2 c)))))>
#<alt (* -1 (* c (+ (* -1/2 (/ a b_2)) (* 2 (/ b_2 c)))))>
#<alt (* -2 b_2)>
#<alt (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2)))>
#<alt (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2)))>
#<alt (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2)))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* a (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2))))>
#<alt (* a (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2))))>
#<alt (* a (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2))))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* -1 (* a (+ (* -1/2 (/ c b_2)) (* 2 (/ b_2 a)))))>
#<alt (* -1 (* a (+ (* -1/2 (/ c b_2)) (* 2 (/ b_2 a)))))>
#<alt (* -1 (* a (+ (* -1/2 (/ c b_2)) (* 2 (/ b_2 a)))))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (/ (+ (* -2 (pow b_2 2)) (* 1/2 (* a c))) b_2)>
#<alt (/ (+ (* -2 (pow b_2 2)) (* 1/2 (* a c))) b_2)>
#<alt (/ (+ (* -2 (pow b_2 2)) (* 1/2 (* a c))) b_2)>
#<alt (* -2 b_2)>
#<alt (* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))>
#<alt (* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))>
#<alt (* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))>
#<alt (* -2 b_2)>
#<alt (* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* -2 (/ b_2 a))>
#<alt (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))>
#<alt (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))>
#<alt (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))>
#<alt (* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))>
#<alt (* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))>
#<alt (* -2 (/ b_2 a))>
#<alt (/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)>
#<alt (/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)>
#<alt (/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)>
#<alt (* 1/2 (/ c b_2))>
#<alt (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))>
#<alt (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))>
#<alt (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))>
#<alt (* 1/2 (/ c b_2))>
#<alt (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))>
#<alt (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))>
#<alt (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))>
#<alt (* 1/2 (/ c b_2))>
#<alt (/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) b_2)>
#<alt (/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) b_2)>
#<alt (/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) b_2)>
#<alt (* -2 (/ b_2 a))>
#<alt (* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))>
#<alt (* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))>
#<alt (* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))>
#<alt 2>
#<alt (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))>
#<alt (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))>
#<alt (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* c (+ (* -1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c))))>
#<alt (* c (+ (* -1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c))))>
#<alt (* c (+ (* -1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c))))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1 (* c (- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))))>
#<alt (* -1 (* c (- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))))>
#<alt (* -1 (* c (- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))))>
#<alt 2>
#<alt (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))>
#<alt (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))>
#<alt (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* a (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))>
#<alt (* a (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))>
#<alt (* a (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1 (* a (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))>
#<alt (* -1 (* a (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))>
#<alt (* -1 (* a (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (/ (+ (* -1/2 (* a c)) (* 2 (pow b_2 2))) (pow b_2 2))>
#<alt (/ (+ (* -1/2 (* a c)) (* 2 (pow b_2 2))) (pow b_2 2))>
#<alt (/ (+ (* -1/2 (* a c)) (* 2 (pow b_2 2))) (pow b_2 2))>
#<alt 2>
#<alt (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))>
#<alt (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))>
#<alt (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))>
#<alt 2>
#<alt (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))>
#<alt (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))>
#<alt (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1/2 (/ c b_2))>
#<alt (/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)>
#<alt (/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)>
#<alt (/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)>
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#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))>
#<alt (* -1/2 (/ c b_2))>
#<alt (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))>
#<alt (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))>
#<alt (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
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#<alt (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))>
#<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)))) (/ b_2 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 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) (* -1 b_2)) a)))>
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#<alt (* -1/2 (/ c b_2))>
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#<alt (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c))))>
#<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)))) (/ b_2 (* a c))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (/ b_2 a)) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -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)) (/ b_2 a)) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
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#<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)>
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#<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)))))>
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#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (/ 1 a))))>
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#<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)>
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#<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))>
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#<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 (* -1 (* a c))>
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#<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)>
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#<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))>
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#<alt (* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))>
#<alt (* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))>
#<alt (pow b_2 2)>
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#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<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))))>
#<alt (* -1/2 (/ c b_2))>
#<alt (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))>
#<alt (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))>
#<alt (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
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#<alt (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))>
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#<alt (* -1/2 (/ c b_2))>
#<alt (/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)>
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#<alt (/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)>
#<alt (* -1 (/ (* b_2 (- a (* -1 a))) (pow a 2)))>
#<alt (* -1 (* b_2 (- (+ (* -1/2 (/ c (pow b_2 2))) (/ 1 a)) (/ -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))) (/ -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)))) (/ -1 a))))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1/2 (/ (* (pow a 2) c) b_2))>
#<alt (* (pow a 2) (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))>
#<alt (* (pow a 2) (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))>
#<alt (* (pow a 2) (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))>
#<alt (* (sqrt (* (pow a 3) c)) (sqrt -1))>
#<alt (* (pow a 2) (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* (pow a 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))>
#<alt (* (pow a 2) (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))>
#<alt (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))>
#<alt (* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))))>
#<alt (* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) (* -1 b_2)) a))))>
#<alt (* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a)) (* -1 b_2)) a))))>
#<alt (* (sqrt (* (pow a 3) c)) (sqrt -1))>
#<alt (+ (* -1 (* a b_2)) (* (sqrt (* (pow a 3) c)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* 1/2 (* (sqrt (/ a c)) (/ b_2 (sqrt -1)))) a)) (* (sqrt (* (pow a 3) c)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))))) a)) (* (sqrt (* (pow a 3) c)) (sqrt -1)))>
#<alt (* -1/2 (/ (* (pow a 2) c) b_2))>
#<alt (/ (+ (* -1/2 (* (pow a 2) c)) (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 2)))) b_2)>
#<alt (/ (+ (* -1/2 (* (pow a 2) c)) (+ (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 4))))) b_2)>
#<alt (/ (+ (* -1/2 (* (pow a 2) c)) (+ (* -1/2 (/ (* a (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4))))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 4)))))) b_2)>
#<alt (* -1 (* b_2 (- a (* -1 a))))>
#<alt (* -1 (* b_2 (- (+ a (* -1/2 (/ (* (pow a 2) c) (pow b_2 2)))) (* -1 a))))>
#<alt (* -1 (* b_2 (- (+ a (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))))) (* -1 a))))>
#<alt (* -1 (* b_2 (- (+ a (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 6)))))) (* -1 a))))>
#<alt (* -1/2 (/ (* (pow a 2) c) b_2))>
#<alt (* c (+ (* -1/2 (/ (pow a 2) b_2)) (* -1/8 (/ (* (pow a 3) c) (pow b_2 3)))))>
#<alt (* c (+ (* -1/2 (/ (pow a 2) b_2)) (* c (+ (* -1/8 (/ (pow a 3) (pow b_2 3))) (* -1/16 (/ (* (pow a 4) c) (pow b_2 5)))))))>
#<alt (* c (+ (* -1/2 (/ (pow a 2) b_2)) (* c (+ (* -1/8 (/ (pow a 3) (pow b_2 3))) (* c (+ (* -1/2 (/ (* a (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6)))))) b_2)) (* -1/16 (/ (pow a 4) (pow b_2 5)))))))))>
#<alt (* (sqrt (* (pow a 3) c)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ (* a b_2) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1))))>
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (/ (* a b_2) c)))>
#<alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))) (/ (* a b_2) c)))>
#<alt (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ (pow a 3) c)) (sqrt -1)) (/ (* a b_2) c))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* a b_2)) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (* a c)) (* (pow b_2 2) (sqrt -1))))) c)) (* a b_2)) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))>
#<alt (* a b_2)>
#<alt (* a (+ b_2 (* -1/2 (/ (* a c) b_2))))>
#<alt (* a (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))))>
#<alt (* a (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))))>
#<alt (* (sqrt (* (pow a 3) c)) (sqrt -1))>
#<alt (* (pow a 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* (pow a 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* (pow a 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))>
#<alt (* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))))>
#<alt (* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))))))>
#<alt (* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1))))))))>
#<alt (* (sqrt (* (pow a 3) c)) (sqrt -1))>
#<alt (+ (* 1/2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* (pow a 3) c)) (sqrt -1)))>
#<alt (+ (* (sqrt (* (pow a 3) c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))))))>
#<alt (+ (* (sqrt (* (pow a 3) c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))>
#<alt (* a b_2)>
#<alt (* b_2 (+ a (* -1/2 (/ (* (pow a 2) c) (pow b_2 2)))))>
#<alt (* b_2 (+ a (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))))))>
#<alt (* b_2 (+ a (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 6)))))))>
#<alt (* -1 (* a b_2))>
#<alt (* -1 (* b_2 (+ a (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))))))>
#<alt (* -1 (* b_2 (+ a (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4)))))))>
#<alt (* -1 (* b_2 (+ a (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 6))))))))>
#<alt (* a b_2)>
#<alt (+ (* -1/2 (/ (* (pow a 2) c) b_2)) (* a b_2))>
#<alt (+ (* a b_2) (* c (+ (* -1/2 (/ (pow a 2) b_2)) (* -1/8 (/ (* (pow a 3) c) (pow b_2 3))))))>
#<alt (+ (* a b_2) (* c (+ (* -1/2 (/ (pow a 2) b_2)) (* c (+ (* -1/8 (/ (pow a 3) (pow b_2 3))) (* -1/16 (/ (* (pow a 4) c) (pow b_2 5))))))))>
#<alt (* (sqrt (* (pow a 3) c)) (sqrt -1))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))))>
#<alt (* -1/2 a)>
#<alt (* -1/2 a)>
#<alt (* -1/2 a)>
#<alt (* -1/2 a)>
#<alt (* -1/2 a)>
#<alt (* -1/2 a)>
#<alt (* -1/2 a)>
#<alt (* -1/2 a)>
#<alt (* -1/2 a)>
#<alt (* -1/2 a)>
#<alt (* -1/2 a)>
#<alt (* -1/2 a)>
Calls

138 calls:

TimeVariablePointExpression
5.0ms
a
@0
(* (- (* a (sqrt (- (* b_2 b_2) (* a c)))) (* b_2 a)) (/ 1 (* a a)))
2.0ms
b_2
@inf
(/ (* b_2 -2) a)
2.0ms
a
@-inf
(/ 1 (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2)))
2.0ms
c
@-inf
(/ (sqrt (- (* b_2 b_2) (* a c))) a)
2.0ms
a
@inf
(/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2))

rewrite544.0ms (4.3%)

Algorithm
1×batch-egg-rewrite
Rules
5012×*-lowering-*.f32
5012×*-lowering-*.f64
3018×/-lowering-/.f32
3018×/-lowering-/.f64
1960×--lowering--.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033156
1225149
21990139
09643139
Stop Event
1×iter limit
1×node limit
Counts
17 → 1011
Calls
Call 1
Inputs
(/ 1 (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2)))
(/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2))
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
(sqrt (- (* b_2 b_2) (* a c)))
(/ (* b_2 -2) a)
(* b_2 -2)
(* (+ 2 (/ (* c (* a -1/2)) (* b_2 b_2))) (- 0 b_2))
(/ (* (+ 2 (/ (* c (* a -1/2)) (* b_2 b_2))) (- 0 b_2)) a)
(+ 2 (/ (* c (* a -1/2)) (* b_2 b_2)))
(/ (* c (* a -1/2)) (* b_2 b_2))
(- (/ (sqrt (- (* b_2 b_2) (* a c))) a) (/ b_2 a))
(/ (sqrt (- (* b_2 b_2) (* a c))) a)
(- (* b_2 b_2) (* a c))
(* (- (* a (sqrt (- (* b_2 b_2) (* a c)))) (* b_2 a)) (/ 1 (* a a)))
(- (* a (sqrt (- (* b_2 b_2) (* a c)))) (* b_2 a))
(* a (sqrt (- (* b_2 b_2) (* a c))))
(* a -1/2)
Outputs
(+.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a)))
(+.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) b_2)))
(+.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) (+.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a)) b_2) (/.f64 b_2 a)))
(+.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b_2)) (*.f64 a b_2))))
(+.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b_2)) (*.f64 a b_2)) (/.f64 #s(literal 1 binary64) (*.f64 a a))))
(+.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) (fma.f64 (-.f64 #s(literal 0 binary64) b_2) (/.f64 #s(literal 1 binary64) a) (/.f64 b_2 a)))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 b_2 a)) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (-.f64 #s(literal 0 binary64) (*.f64 a b_2))))
(+.f64 (*.f64 (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (/.f64 #s(literal 1 binary64) (*.f64 a a))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b_2)) (/.f64 #s(literal 1 binary64) (*.f64 a a))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (neg.f64 (*.f64 (/.f64 b_2 a) #s(literal 1 binary64)))) (fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 b_2 a)) #s(literal 1 binary64) (*.f64 (/.f64 b_2 a) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) (-.f64 #s(literal 0 binary64) b_2)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a))) (-.f64 #s(literal 0 binary64) b_2) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) (-.f64 #s(literal 0 binary64) b_2))))
(+.f64 (fma.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (/.f64 #s(literal 1 binary64) a) (neg.f64 (*.f64 (/.f64 b_2 a) #s(literal 1 binary64)))) (fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 b_2 a)) #s(literal 1 binary64) (*.f64 (/.f64 b_2 a) #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (/.f64 #s(literal 1 binary64) a) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) (-.f64 #s(literal 0 binary64) b_2)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a))) (-.f64 #s(literal 0 binary64) b_2) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) (-.f64 #s(literal 0 binary64) b_2))))
(+.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) (neg.f64 (*.f64 (/.f64 b_2 a) #s(literal 1 binary64)))) (fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 b_2 a)) #s(literal 1 binary64) (*.f64 (/.f64 b_2 a) #s(literal 1 binary64))))
(+.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) (-.f64 #s(literal 0 binary64) b_2)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a))) (-.f64 #s(literal 0 binary64) b_2) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) (-.f64 #s(literal 0 binary64) b_2))))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 (*.f64 (/.f64 b_2 a) #s(literal 1 binary64)))) (fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 b_2 a)) #s(literal 1 binary64) (*.f64 (/.f64 b_2 a) #s(literal 1 binary64))))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) (-.f64 #s(literal 0 binary64) b_2)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a))) (-.f64 #s(literal 0 binary64) b_2) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) (-.f64 #s(literal 0 binary64) b_2))))
(exp.f64 (*.f64 (log.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))) #s(literal -1 binary64)))
(-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (/.f64 b_2 a))
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(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64)) (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 a (*.f64 a a)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 a a)) (*.f64 (/.f64 b_2 a) (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)) (*.f64 a a))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))
(*.f64 (pow.f64 (/.f64 a (-.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64)) (*.f64 b_2 (*.f64 b_2 b_2)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))
(*.f64 (pow.f64 (/.f64 a (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(+.f64 (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 #s(literal 0 binary64) (*.f64 a b_2)))
(+.f64 (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b_2)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b_2)) (*.f64 a b_2))))
(+.f64 (*.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b_2)) (*.f64 a b_2)))
(+.f64 (*.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) (+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b_2)) (*.f64 a b_2)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b_2)) (*.f64 a b_2))))
(+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b_2)) (*.f64 a b_2)) (*.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)))
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b_2)) (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(-.f64 (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (*.f64 a b_2))
(-.f64 (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 a b_2) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b_2)) (*.f64 a b_2))))
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 a a)) #s(literal 3/2 binary64)) (+.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 a a)) (*.f64 (*.f64 a b_2) (*.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (/.f64 (*.f64 (*.f64 a b_2) (*.f64 a (*.f64 b_2 (*.f64 a b_2)))) (+.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 a a)) (*.f64 (*.f64 a b_2) (*.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))))
(-.f64 (/.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 a a)) (*.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (/.f64 (*.f64 a (*.f64 b_2 (*.f64 a b_2))) (*.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))
(fma.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b_2)) (*.f64 a b_2)))
(fma.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) (+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b_2)) (*.f64 a b_2)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b_2)) (*.f64 a b_2))))
(fma.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 #s(literal 0 binary64) (*.f64 a b_2)))
(fma.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b_2)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b_2)) (*.f64 a b_2))))
(fma.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 (-.f64 (*.f64 a b_2) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b_2)) (*.f64 a b_2)))))
(fma.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b_2)) (*.f64 a b_2)))
(fma.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) (+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b_2)) (*.f64 a b_2)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b_2)) (*.f64 a b_2))))
(fma.f64 a (-.f64 #s(literal 0 binary64) b_2) (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(fma.f64 b_2 (-.f64 #s(literal 0 binary64) a) (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a (-.f64 #s(literal 0 binary64) (*.f64 a b_2)))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b_2)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b_2)) (*.f64 a b_2))))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a (neg.f64 (-.f64 (*.f64 a b_2) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b_2)) (*.f64 a b_2)))))
(fma.f64 (*.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b_2)) (*.f64 a b_2)))
(fma.f64 (*.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) #s(literal 1 binary64) (+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b_2)) (*.f64 a b_2)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b_2)) (*.f64 a b_2))))
(fma.f64 (-.f64 #s(literal 0 binary64) a) b_2 (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(fma.f64 #s(literal -1 binary64) (*.f64 a b_2) (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(fma.f64 (-.f64 #s(literal 0 binary64) b_2) a (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(fma.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 a a)) #s(literal 3/2 binary64)) (*.f64 (*.f64 a b_2) (*.f64 a (*.f64 b_2 (*.f64 a b_2))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 a a)) (*.f64 (*.f64 a b_2) (*.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b_2)) (*.f64 a b_2)))
(fma.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 a a)) #s(literal 3/2 binary64)) (*.f64 (*.f64 a b_2) (*.f64 a (*.f64 b_2 (*.f64 a b_2))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 a a)) (*.f64 (*.f64 a b_2) (*.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b_2)) (*.f64 a b_2)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b_2)) (*.f64 a b_2))))
(fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 a a)) (*.f64 a (*.f64 b_2 (*.f64 a b_2)))) (/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b_2)) (*.f64 a b_2)))
(fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 a a)) (*.f64 a (*.f64 b_2 (*.f64 a b_2)))) (/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b_2)) (*.f64 a b_2)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b_2)) (*.f64 a b_2))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 a a)) (*.f64 (*.f64 a b_2) (*.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))) (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 a a)) #s(literal 3/2 binary64)) (*.f64 (*.f64 a b_2) (*.f64 a (*.f64 b_2 (*.f64 a b_2)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (-.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 a a)) (*.f64 a (*.f64 b_2 (*.f64 a b_2))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 a a)) #s(literal 3/2 binary64)) (*.f64 (*.f64 a b_2) (*.f64 a (*.f64 b_2 (*.f64 a b_2))))) (+.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 a a)) (*.f64 (*.f64 a b_2) (*.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 a a)) #s(literal 3/2 binary64)) (*.f64 (*.f64 a b_2) (*.f64 a (*.f64 b_2 (*.f64 a b_2))))) (+.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 a a)) (-.f64 (*.f64 a (*.f64 b_2 (*.f64 a b_2))) (*.f64 (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 #s(literal 0 binary64) (*.f64 a b_2))))))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 a a)) (*.f64 a (*.f64 b_2 (*.f64 a b_2)))) (*.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 a a)) (*.f64 a (*.f64 b_2 (*.f64 a b_2)))) (-.f64 (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 #s(literal 0 binary64) (*.f64 a b_2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 a a)) #s(literal 3/2 binary64)) (*.f64 (*.f64 a b_2) (*.f64 a (*.f64 b_2 (*.f64 a b_2))))) #s(literal 1 binary64)) (+.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 a a)) (*.f64 (*.f64 a b_2) (*.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))
(/.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 a a)) (*.f64 a (*.f64 b_2 (*.f64 a b_2)))) #s(literal 1 binary64)) (*.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 a a)) #s(literal 3/2 binary64)) (*.f64 (*.f64 a b_2) (*.f64 a (*.f64 b_2 (*.f64 a b_2)))))) (neg.f64 (+.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 a a)) (*.f64 (*.f64 a b_2) (*.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 a a)) (*.f64 a (*.f64 b_2 (*.f64 a b_2))))) (neg.f64 (*.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) #s(literal 3 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b_2)) (*.f64 a b_2)) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b_2)) (*.f64 a b_2)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b_2)) (*.f64 a b_2))))) (+.f64 (pow.f64 (*.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b_2)) (*.f64 a b_2)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b_2)) (*.f64 a b_2))) (*.f64 (*.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b_2)) (*.f64 a b_2))))))
(/.f64 (-.f64 (pow.f64 (*.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) #s(literal 2 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b_2)) (*.f64 a b_2)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b_2)) (*.f64 a b_2)))) (-.f64 (*.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b_2)) (*.f64 a b_2))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 a a)) #s(literal 3/2 binary64)) (+.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 a a)) (*.f64 (*.f64 a b_2) (*.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 a a)) (*.f64 (*.f64 a b_2) (*.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))) (*.f64 (*.f64 a b_2) (*.f64 a (*.f64 b_2 (*.f64 a b_2)))))) (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 a a)) (*.f64 (*.f64 a b_2) (*.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))) (+.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 a a)) (*.f64 (*.f64 a b_2) (*.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 a a)) (*.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (*.f64 (*.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (*.f64 a (*.f64 b_2 (*.f64 a b_2))))) (*.f64 (*.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (*.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))
(pow.f64 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 a a)) (*.f64 (*.f64 a b_2) (*.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))) (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 a a)) #s(literal 3/2 binary64)) (*.f64 (*.f64 a b_2) (*.f64 a (*.f64 b_2 (*.f64 a b_2)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (-.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 a a)) (*.f64 a (*.f64 b_2 (*.f64 a b_2))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)))
(*.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))
(*.f64 (*.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) #s(literal 1 binary64))
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 a a)) #s(literal 3/2 binary64)) (*.f64 (*.f64 a b_2) (*.f64 a (*.f64 b_2 (*.f64 a b_2))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 a a)) (*.f64 (*.f64 a b_2) (*.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 a a)) (*.f64 a (*.f64 b_2 (*.f64 a b_2)))) (/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))
(*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)
(*.f64 a #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) a)

simplify468.0ms (3.7%)

Algorithm
1×egg-herbie
Rules
6974×*-lowering-*.f32
6974×*-lowering-*.f64
4932×+-lowering-+.f64
4932×+-lowering-+.f32
1596×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0111210451
141169805
090449805
Stop Event
1×iter limit
1×node limit
Counts
552 → 552
Calls
Call 1
Inputs
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(* -1/2 (/ c b_2))
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(* -2 (/ b_2 a))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(* -1/2 (/ c b_2))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(* (sqrt (/ c a)) (sqrt -1))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -2 (/ b_2 c))
(+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))
(+ (* -2 (/ b_2 c)) (* a (+ (* -1 (* a (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3)))))) (* 1/2 (/ 1 b_2)))))
(+ (* -2 (/ b_2 c)) (* a (+ (* a (- (* -1 (* a (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) (pow c 2))) (+ (* -1/4 (/ (* c (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow c 2) (pow b_2 5))))))) (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3)))))) (* 1/2 (/ 1 b_2)))))
(* (sqrt (/ a c)) (/ 1 (sqrt -1)))
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -1))) (/ b_2 (* c (pow (sqrt -1) 2))))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))))
(- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b_2 3)) (* (pow c 2) (pow (sqrt -1) 4)))) (* (sqrt (/ a c)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))))
(* -1 (* (sqrt (/ a c)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ b_2 c)))
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* -1 (/ (* a b_2) c))) a)))
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* a (pow b_2 3)) (pow c 2))) (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))))))) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1))))) a)) (* -1 (/ (* a b_2) c))) a)))
(* (sqrt (/ a c)) (/ 1 (sqrt -1)))
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -1))) (/ b_2 (* c (pow (sqrt -1) 2))))
(+ (* b_2 (+ (* -1 (* b_2 (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* c (pow (sqrt -1) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -1))))
(+ (* b_2 (+ (* b_2 (- (* -1 (* b_2 (+ (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -1) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* c (pow (sqrt -1) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -1))))
(* -2 (/ b_2 c))
(* b_2 (- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c))))
(* b_2 (- (* -1 (/ (+ (* -1/4 (* (pow a 2) c)) (* 1/8 (* (pow a 2) c))) (pow b_2 4))) (+ (* -1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))))
(* b_2 (- (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (+ (* -1/4 (* a (* c (+ (* -1/4 (* (pow a 2) c)) (* 1/8 (* (pow a 2) c)))))) (* 1/16 (* (pow a 3) (pow c 2))))) (pow b_2 6))) (+ (* -1/2 (/ a (pow b_2 2))) (+ (* -1/4 (/ (* (pow a 2) c) (pow b_2 4))) (+ (* 1/8 (/ (* (pow a 2) c) (pow b_2 4))) (* 2 (/ 1 c)))))))
(* -1/2 (/ a b_2))
(* -1 (/ (+ (* 1/8 (/ (* (pow a 2) c) (pow b_2 2))) (* 1/2 a)) b_2))
(* -1 (/ (- (+ (* 1/16 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 1/2 a)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 2)))) b_2))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/32 (* (pow a 4) (pow c 3))) (* -1/128 (* (pow a 4) (pow c 3)))) (pow b_2 6))) (* 1/2 a)) (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))))) b_2))
(* -2 (/ b_2 c))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) c)
(/ (+ (* -2 b_2) (* c (- (* -1 (* c (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3)))))) (* -1/2 (/ a b_2))))) c)
(/ (+ (* -2 b_2) (* c (- (* c (- (* -1 (* c (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) a)) (+ (* -1/4 (/ (* a (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow a 3) (pow b_2 5))))))) (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3)))))) (* -1/2 (/ a b_2))))) c)
(* (sqrt (/ a c)) (/ 1 (sqrt -1)))
(/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (/ b_2 (pow (sqrt -1) 2))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (pow (sqrt -1) 2)))) c)
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b_2 3) (pow c 2)) (* a (pow (sqrt -1) 4)))) (* (sqrt (/ c a)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1 (/ b_2 (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3))))))) c)
(* -1 (* (sqrt (/ a c)) (sqrt -1)))
(* -1 (/ (+ b_2 (* (sqrt (* a c)) (sqrt -1))) c))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) (* b_2 c)) c)) (* (sqrt (* a c)) (sqrt -1))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* (pow b_2 3) c) a)) (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1))))))))) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))))) c)) (* b_2 c)) c)) (* (sqrt (* a c)) (sqrt -1))) c))
(* (sqrt (* a c)) (sqrt -1))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(* -1/2 (/ (* a c) b_2))
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)
(* -2 b_2)
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* -1/2 (/ (* a c) b_2))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1/2 (/ (* a c) b_2))
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* (sqrt (* a c)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
b_2
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))
(* -1 b_2)
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
(* -2 (/ b_2 a))
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(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
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(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
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(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
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(* -2 b_2)
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(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
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(+ (* -2 b_2) (* 1/2 (/ (* a c) b_2)))
(+ (* -2 b_2) (* 1/2 (/ (* a c) b_2)))
(* 1/2 (/ (* a c) b_2))
(* c (+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2))))
(* c (+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2))))
(* c (+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2))))
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(* -1 (* c (+ (* -1/2 (/ a b_2)) (* 2 (/ b_2 c)))))
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(* a (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2))))
(* a (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2))))
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(/ (+ (* -2 (pow b_2 2)) (* 1/2 (* a c))) b_2)
(/ (+ (* -2 (pow b_2 2)) (* 1/2 (* a c))) b_2)
(/ (+ (* -2 (pow b_2 2)) (* 1/2 (* a c))) b_2)
(* -2 b_2)
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(* 1/2 (/ c 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)))
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(/ (+ (* -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))
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2
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(* -1 (* c (- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))))
2
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(* a (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* a (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* -1/2 (/ (* a c) (pow b_2 2)))
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(/ (+ (* -1/2 (* a c)) (* 2 (pow b_2 2))) (pow b_2 2))
(/ (+ (* -1/2 (* a c)) (* 2 (pow b_2 2))) (pow b_2 2))
(/ (+ (* -1/2 (* a c)) (* 2 (pow b_2 2))) (pow b_2 2))
2
(+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))
(+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))
(+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))
2
(+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))
(+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))
(+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
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(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
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(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(* -1/2 (/ c b_2))
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(* -2 (/ b_2 a))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
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(* (sqrt (/ c a)) (sqrt -1))
(+ (* -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))) (/ 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)))) (/ b_2 a))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
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(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a)) (* -1 b_2)) a)))
(* -1/2 (/ c b_2))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(* (sqrt (/ c a)) (sqrt -1))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* 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)))) (/ b_2 (* a c))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (/ b_2 a)) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -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)) (/ b_2 a)) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* (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)))))))
(* -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))))
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(* -1/2 (/ c b_2))
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(* -1 (/ (* b_2 (- a (* -1 a))) (pow a 2)))
(* -1 (* b_2 (- (+ (* -1/2 (/ c (pow b_2 2))) (/ 1 a)) (/ -1 a))))
(* -1 (* b_2 (- (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (/ 1 a))) (/ -1 a))))
(* -1 (* b_2 (- (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (/ 1 a)))) (/ -1 a))))
(* -1/2 (/ c b_2))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(* (sqrt (/ c a)) (sqrt -1))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1/2 (/ (* (pow a 2) c) b_2))
(* (pow a 2) (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(* (pow a 2) (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* (pow a 2) (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
(* (sqrt (* (pow a 3) c)) (sqrt -1))
(* (pow a 2) (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* (pow a 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* (pow a 2) (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) (* -1 b_2)) a))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a)) (* -1 b_2)) a))))
(* (sqrt (* (pow a 3) c)) (sqrt -1))
(+ (* -1 (* a b_2)) (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ a c)) (/ b_2 (sqrt -1)))) a)) (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))))) a)) (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(* -1/2 (/ (* (pow a 2) c) b_2))
(/ (+ (* -1/2 (* (pow a 2) c)) (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 (* (pow a 2) c)) (+ (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 (* (pow a 2) c)) (+ (* -1/2 (/ (* a (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4))))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 4)))))) b_2)
(* -1 (* b_2 (- a (* -1 a))))
(* -1 (* b_2 (- (+ a (* -1/2 (/ (* (pow a 2) c) (pow b_2 2)))) (* -1 a))))
(* -1 (* b_2 (- (+ a (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))))) (* -1 a))))
(* -1 (* b_2 (- (+ a (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 6)))))) (* -1 a))))
(* -1/2 (/ (* (pow a 2) c) b_2))
(* c (+ (* -1/2 (/ (pow a 2) b_2)) (* -1/8 (/ (* (pow a 3) c) (pow b_2 3)))))
(* c (+ (* -1/2 (/ (pow a 2) b_2)) (* c (+ (* -1/8 (/ (pow a 3) (pow b_2 3))) (* -1/16 (/ (* (pow a 4) c) (pow b_2 5)))))))
(* c (+ (* -1/2 (/ (pow a 2) b_2)) (* c (+ (* -1/8 (/ (pow a 3) (pow b_2 3))) (* c (+ (* -1/2 (/ (* a (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6)))))) b_2)) (* -1/16 (/ (pow a 4) (pow b_2 5)))))))))
(* (sqrt (* (pow a 3) c)) (sqrt -1))
(* c (+ (* -1 (/ (* a b_2) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1))))
(* c (- (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (/ (* a b_2) c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))) (/ (* a b_2) c)))
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ (pow a 3) c)) (sqrt -1)) (/ (* a b_2) c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* a b_2)) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (* a c)) (* (pow b_2 2) (sqrt -1))))) c)) (* a b_2)) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(* 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)))))))))
(* (sqrt (* (pow a 3) c)) (sqrt -1))
(* (pow a 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* (pow a 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* (pow a 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1))))))))
(* (sqrt (* (pow a 3) c)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(+ (* (sqrt (* (pow a 3) c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* (pow a 3) c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
(* a b_2)
(* b_2 (+ a (* -1/2 (/ (* (pow a 2) c) (pow b_2 2)))))
(* b_2 (+ a (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))))))
(* b_2 (+ a (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 6)))))))
(* -1 (* a b_2))
(* -1 (* b_2 (+ a (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))))))
(* -1 (* b_2 (+ a (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ a (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 6))))))))
(* a b_2)
(+ (* -1/2 (/ (* (pow a 2) c) b_2)) (* a b_2))
(+ (* a b_2) (* c (+ (* -1/2 (/ (pow a 2) b_2)) (* -1/8 (/ (* (pow a 3) c) (pow b_2 3))))))
(+ (* a b_2) (* c (+ (* -1/2 (/ (pow a 2) b_2)) (* c (+ (* -1/8 (/ (pow a 3) (pow b_2 3))) (* -1/16 (/ (* (pow a 4) c) (pow b_2 5))))))))
(* (sqrt (* (pow a 3) c)) (sqrt -1))
(* c (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1))))))
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))))
(* -1/2 a)
(* -1/2 a)
(* -1/2 a)
(* -1/2 a)
(* -1/2 a)
(* -1/2 a)
(* -1/2 a)
(* -1/2 a)
(* -1/2 a)
(* -1/2 a)
(* -1/2 a)
(* -1/2 a)
Outputs
(* -1/2 (/ c b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b_2 (*.f64 b_2 b_2)))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b_2 #s(literal 5 binary64))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)))) b_2) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b_2 #s(literal 5 binary64))))))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64)))) (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a)))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64)))) (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) b_2) a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 b_2 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))))) a))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 b_2 (/.f64 (+.f64 (*.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 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)))))) a)) a))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b_2 (+.f64 (*.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))))
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(* -1/2 (/ (* a c) b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) b_2)
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))
(*.f64 c (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a b_2)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 a a))) (*.f64 b_2 (*.f64 b_2 b_2)))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))
(*.f64 c (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a b_2)) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 c (*.f64 a (*.f64 a a)))) (pow.f64 b_2 #s(literal 5 binary64)))))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))
(*.f64 c (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a b_2)) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)))) b_2) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a (*.f64 a a))) (pow.f64 b_2 #s(literal 5 binary64)))))))))
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(*.f64 c (-.f64 (*.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)))) (-.f64 (*.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 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))))) (+.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)))) (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b_2 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 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(*.f64 c (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 b_2 c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(*.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64)))) b_2) c)) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(*.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 (-.f64 (/.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))))) (-.f64 #s(literal 0 binary64) c)) b_2) c)) (-.f64 #s(literal 0 binary64) 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)))
(+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64)))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) (*.f64 (*.f64 b_2 b_2) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (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) (+ (* 1/2 (* (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)))))))))
(+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) (*.f64 (*.f64 b_2 b_2) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 b_2 b_2) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c)))) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (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))))))))))
b_2
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) (*.f64 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))))))
(*.f64 b_2 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) (*.f64 b_2 b_2))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 c c) (*.f64 a a))) (pow.f64 b_2 #s(literal 4 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)))))))
(*.f64 b_2 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) (*.f64 b_2 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))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))) (pow.f64 b_2 #s(literal 6 binary64)))))))
(* -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) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) (*.f64 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)))))))
(*.f64 (-.f64 #s(literal 0 binary64) b_2) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) (*.f64 b_2 b_2))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 c c) (*.f64 a a))) (pow.f64 b_2 #s(literal 4 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 (-.f64 #s(literal 0 binary64) b_2) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) (*.f64 b_2 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))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))) (pow.f64 b_2 #s(literal 6 binary64)))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+.f64 b_2 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) b_2))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(+.f64 b_2 (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b_2 (*.f64 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))))))))
(+.f64 b_2 (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b_2 #s(literal 5 binary64))))))))
(* (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 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))))))
(* 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 (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))))))
(* 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 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 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 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (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 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (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 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (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)))))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (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 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (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))))) (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (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 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (pow.f64 b_2 #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))))))) (-.f64 #s(literal 0 binary64) a))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+.f64 b_2 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) b_2))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+.f64 b_2 (*.f64 c (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a b_2)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 a a))) (*.f64 b_2 (*.f64 b_2 b_2))))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(+.f64 b_2 (*.f64 c (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a b_2)) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 c (*.f64 a (*.f64 a a)))) (pow.f64 b_2 #s(literal 5 binary64))))))))
(* (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 (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (*.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))))))
(* 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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2
#s(literal 2 binary64)
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2
#s(literal 2 binary64)
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(* a (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
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(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) (*.f64 b_2 b_2))
(* -1 (* a (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
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(* -1 (* a (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
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(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) (*.f64 b_2 b_2))
(/ (+ (* -1/2 (* a c)) (* 2 (pow b_2 2))) (pow b_2 2))
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2
#s(literal 2 binary64)
(+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))
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2
#s(literal 2 binary64)
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(* (sqrt (/ c a)) (sqrt -1))
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(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* a b_2)) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
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(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (* a c)) (* (pow b_2 2) (sqrt -1))))) c)) (* a b_2)) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(*.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c))) (/.f64 (-.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (pow.f64 b_2 #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)))) (-.f64 #s(literal 0 binary64) c)) (*.f64 b_2 a)) c)))
(* a b_2)
(*.f64 b_2 a)
(* a (+ b_2 (* -1/2 (/ (* a c) b_2))))
(*.f64 a (+.f64 b_2 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) b_2)))
(* a (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))))
(*.f64 a (+.f64 b_2 (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b_2 (*.f64 b_2 b_2))))))))
(* 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)))))))))
(*.f64 a (+.f64 b_2 (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b_2 #s(literal 5 binary64)))))))))
(* (sqrt (* (pow a 3) c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c (*.f64 a (*.f64 a a)))))
(* (pow a 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 a a))
(* (pow a 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(*.f64 (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 a a))
(* (pow a 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 (*.f64 a a) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 c (*.f64 a (*.f64 a a)))) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))))
(*.f64 (*.f64 a a) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (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)))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))))))
(*.f64 (*.f64 a a) (+.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (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)))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (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)))))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1))))))))
(*.f64 (*.f64 a a) (+.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (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)))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (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))))) (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (pow.f64 b_2 #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))
(* (sqrt (* (pow a 3) c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c (*.f64 a (*.f64 a a)))))
(+ (* 1/2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))))
(+ (* (sqrt (* (pow a 3) c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))))))
(+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b_2 b_2) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (/.f64 (*.f64 b_2 b_2) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))))))
(+ (* (sqrt (* (pow a 3) c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
(+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b_2 b_2) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 b_2 b_2) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (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))))))))))
(* a b_2)
(*.f64 b_2 a)
(* b_2 (+ a (* -1/2 (/ (* (pow a 2) c) (pow b_2 2)))))
(*.f64 b_2 (+.f64 a (*.f64 (/.f64 (*.f64 c (*.f64 a a)) b_2) (/.f64 #s(literal -1/2 binary64) b_2))))
(* b_2 (+ a (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))))))
(*.f64 b_2 (+.f64 (+.f64 a (*.f64 (/.f64 (*.f64 c (*.f64 a a)) b_2) (/.f64 #s(literal -1/2 binary64) b_2))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 c c) (*.f64 a (*.f64 a a)))) (pow.f64 b_2 #s(literal 4 binary64)))))
(* b_2 (+ a (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 6)))))))
(*.f64 b_2 (+.f64 (+.f64 a (*.f64 (/.f64 (*.f64 c (*.f64 a a)) b_2) (/.f64 #s(literal -1/2 binary64) b_2))) (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 c c) (*.f64 a (*.f64 a a)))) (pow.f64 b_2 #s(literal 4 binary64))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 b_2 #s(literal 6 binary64)))))))
(* -1 (* a b_2))
(-.f64 #s(literal 0 binary64) (*.f64 b_2 a))
(* -1 (* b_2 (+ a (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))))))
(*.f64 (-.f64 #s(literal 0 binary64) b_2) (+.f64 a (*.f64 (/.f64 (*.f64 c (*.f64 a a)) b_2) (/.f64 #s(literal -1/2 binary64) b_2))))
(* -1 (* b_2 (+ a (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4)))))))
(*.f64 (-.f64 #s(literal 0 binary64) b_2) (+.f64 (+.f64 a (*.f64 (/.f64 (*.f64 c (*.f64 a a)) b_2) (/.f64 #s(literal -1/2 binary64) b_2))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 c c) (*.f64 a (*.f64 a a)))) (pow.f64 b_2 #s(literal 4 binary64)))))
(* -1 (* b_2 (+ a (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 6))))))))
(*.f64 (-.f64 #s(literal 0 binary64) b_2) (+.f64 (+.f64 a (*.f64 (/.f64 (*.f64 c (*.f64 a a)) b_2) (/.f64 #s(literal -1/2 binary64) b_2))) (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 c c) (*.f64 a (*.f64 a a)))) (pow.f64 b_2 #s(literal 4 binary64))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 b_2 #s(literal 6 binary64)))))))
(* a b_2)
(*.f64 b_2 a)
(+ (* -1/2 (/ (* (pow a 2) c) b_2)) (* a b_2))
(+.f64 (*.f64 b_2 a) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 a a))) b_2))
(+ (* a b_2) (* c (+ (* -1/2 (/ (pow a 2) b_2)) (* -1/8 (/ (* (pow a 3) c) (pow b_2 3))))))
(+.f64 (*.f64 b_2 a) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) b_2) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 a (*.f64 a a)))) (*.f64 b_2 (*.f64 b_2 b_2))))))
(+ (* a b_2) (* c (+ (* -1/2 (/ (pow a 2) b_2)) (* c (+ (* -1/8 (/ (pow a 3) (pow b_2 3))) (* -1/16 (/ (* (pow a 4) c) (pow b_2 5))))))))
(+.f64 (*.f64 b_2 a) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) b_2) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a (*.f64 a a))) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 c (pow.f64 a #s(literal 4 binary64)))) (pow.f64 b_2 #s(literal 5 binary64))))))))
(* (sqrt (* (pow a 3) c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c (*.f64 a (*.f64 a a)))))
(* c (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1))))
(*.f64 c (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(*.f64 c (+.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (pow.f64 c #s(literal 5 binary64)))))))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1))))))
(*.f64 c (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (pow.f64 c #s(literal 5 binary64))))))) (+.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))))) (*.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 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 7 binary64)))))))))
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 c (*.f64 a (*.f64 a a)))) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(*.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 a (*.f64 c (*.f64 c c)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1))))))
(*.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 a (*.f64 c (*.f64 c c)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)))) (*.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 a (pow.f64 c #s(literal 5 binary64)))))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))))
(*.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (*.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 a (pow.f64 c #s(literal 5 binary64))))))) (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 a (*.f64 c (*.f64 c c)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 b_2 #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 7 binary64)))))))))
(* -1/2 a)
(*.f64 #s(literal -1/2 binary64) a)
(* -1/2 a)
(*.f64 #s(literal -1/2 binary64) a)
(* -1/2 a)
(*.f64 #s(literal -1/2 binary64) a)
(* -1/2 a)
(*.f64 #s(literal -1/2 binary64) a)
(* -1/2 a)
(*.f64 #s(literal -1/2 binary64) a)
(* -1/2 a)
(*.f64 #s(literal -1/2 binary64) a)
(* -1/2 a)
(*.f64 #s(literal -1/2 binary64) a)
(* -1/2 a)
(*.f64 #s(literal -1/2 binary64) a)
(* -1/2 a)
(*.f64 #s(literal -1/2 binary64) a)
(* -1/2 a)
(*.f64 #s(literal -1/2 binary64) a)
(* -1/2 a)
(*.f64 #s(literal -1/2 binary64) a)
(* -1/2 a)
(*.f64 #s(literal -1/2 binary64) a)

eval299.0ms (2.4%)

Compiler

Compiled 56178 to 3775 computations (93.3% saved)

prune190.0ms (1.5%)

Pruning

29 alts after pruning (27 fresh and 2 done)

PrunedKeptTotal
New1841201861
Fresh4711
Picked415
Done011
Total1849291878
Accuracy
88.7%
Counts
1878 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.2%
(/.f64 (/.f64 (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)) a) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
26.1%
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 b_2 b_2) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 c a))) b_2) a)
24.6%
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) b_2) a)
55.8%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)))
12.7%
(/.f64 (-.f64 (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2)))) b_2) a)
✓55.9%
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
36.4%
(/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2) a)
26.5%
(/.f64 (*.f64 (+.f64 #s(literal 8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -1/8 binary64)) (*.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 b_2 (*.f64 b_2 b_2))))) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a))) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2)) #s(literal 2 binary64)) (/.f64 (*.f64 b_2 b_2) (*.f64 (*.f64 a c) #s(literal -1/2 binary64))))))
30.1%
(/.f64 (*.f64 c (+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b_2))) a)
31.4%
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
✓35.2%
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
40.1%
(/.f64 (*.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) (*.f64 a a))
35.2%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b_2) #s(literal -2 binary64)))
▶29.9%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)) c))
30.8%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c))
24.5%
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) b_2)))
36.4%
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2)))
31.1%
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b_2)))
55.8%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) a))
▶36.4%
(-.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) a) (/.f64 b_2 a))
54.1%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64)))) (/.f64 b_2 a))
▶35.2%
(+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
12.7%
(*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))
39.5%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)))
▶55.8%
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))
▶35.1%
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
22.7%
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b_2 (+.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
27.6%
(*.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b_2) (*.f64 #s(literal -2 binary64) (/.f64 b_2 (*.f64 c a)))))
34.4%
(*.f64 b_2 (+.f64 (/.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)))
Compiler

Compiled 957 to 613 computations (35.9% saved)

simplify153.0ms (1.2%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 #s(literal 0 binary64) (*.f64 c a))
✓cost-diff0
(sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)))
✓cost-diff0
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) a)
✓cost-diff128
(-.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) a) (/.f64 b_2 a))
✓cost-diff0
(*.f64 b_2 #s(literal -2 binary64))
✓cost-diff0
(+.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2))
✓cost-diff0
(/.f64 (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)) c)
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)) c))
✓cost-diff0
(*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))
✓cost-diff0
(*.f64 b_2 #s(literal -2 binary64))
✓cost-diff0
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
✓cost-diff0
(+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
✓cost-diff0
(/.f64 #s(literal -2 binary64) a)
✓cost-diff0
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
✓cost-diff0
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
✓cost-diff0
(-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)
✓cost-diff0
(/.f64 #s(literal 1 binary64) a)
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))
Rules
2186×sum3-define
1730×fma-define
1168×fma-lowering-fma.f32
1168×*-lowering-*.f32
1168×*-lowering-*.f64
Iterations

Useful iterations: 8 (0.0ms)

IterNodesCost
032184
178182
2145177
3277177
4520177
5960177
61683177
72526177
84388175
95976175
08083175
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (/ 1 a) (- (sqrt (- (* b_2 b_2) (* a c))) b_2))
(/ 1 a)
1
a
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
(sqrt (- (* b_2 b_2) (* a c)))
(- (* b_2 b_2) (* a c))
(* b_2 b_2)
b_2
(* a c)
c
(* (/ -2 a) b_2)
(/ -2 a)
-2
a
b_2
(+ (/ (* b_2 -2) a) (* (/ c b_2) 1/2))
(/ (* b_2 -2) a)
(* b_2 -2)
b_2
-2
a
(* (/ c b_2) 1/2)
(/ c b_2)
c
1/2
(/ 1 (/ (+ (* b_2 -2) (/ (* 1/2 (* c a)) b_2)) c))
1
(/ (+ (* b_2 -2) (/ (* 1/2 (* c a)) b_2)) c)
(+ (* b_2 -2) (/ (* 1/2 (* c a)) b_2))
(* b_2 -2)
b_2
-2
(/ (* 1/2 (* c a)) b_2)
(* 1/2 (* c a))
1/2
(* c a)
c
a
(- (/ (sqrt (- 0 (* c a))) a) (/ b_2 a))
(/ (sqrt (- 0 (* c a))) a)
(sqrt (- 0 (* c a)))
(- 0 (* c a))
0
(* c a)
c
a
(/ b_2 a)
b_2
Outputs
(* (/ 1 a) (- (sqrt (- (* b_2 b_2) (* a c))) b_2))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
1
#s(literal 1 binary64)
a
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
(-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)
(sqrt (- (* b_2 b_2) (* a c)))
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
(- (* b_2 b_2) (* a c))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(* b_2 b_2)
(*.f64 b_2 b_2)
b_2
(* a c)
(*.f64 a c)
c
(* (/ -2 a) b_2)
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(/ -2 a)
(/.f64 #s(literal -2 binary64) a)
-2
#s(literal -2 binary64)
a
b_2
(+ (/ (* b_2 -2) a) (* (/ c b_2) 1/2))
(+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2))
(/ (* b_2 -2) a)
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(* b_2 -2)
(*.f64 b_2 #s(literal -2 binary64))
b_2
-2
#s(literal -2 binary64)
a
(* (/ c b_2) 1/2)
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
(/ c b_2)
(/.f64 c b_2)
c
1/2
#s(literal 1/2 binary64)
(/ 1 (/ (+ (* b_2 -2) (/ (* 1/2 (* c a)) b_2)) c))
(/.f64 c (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) b_2)))
1
#s(literal 1 binary64)
(/ (+ (* b_2 -2) (/ (* 1/2 (* c a)) b_2)) c)
(/.f64 (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) b_2)) c)
(+ (* b_2 -2) (/ (* 1/2 (* c a)) b_2))
(+.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) b_2))
(* b_2 -2)
(*.f64 b_2 #s(literal -2 binary64))
b_2
-2
#s(literal -2 binary64)
(/ (* 1/2 (* c a)) b_2)
(/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) b_2)
(* 1/2 (* c a))
(*.f64 a (*.f64 c #s(literal 1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(* c a)
(*.f64 a c)
c
a
(- (/ (sqrt (- 0 (* c a))) a) (/ b_2 a))
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 #s(literal 0 binary64) c))) b_2) a)
(/ (sqrt (- 0 (* c a))) a)
(/.f64 (sqrt.f64 (*.f64 a (-.f64 #s(literal 0 binary64) c))) a)
(sqrt (- 0 (* c a)))
(sqrt.f64 (*.f64 a (-.f64 #s(literal 0 binary64) c)))
(- 0 (* c a))
(*.f64 a (-.f64 #s(literal 0 binary64) c))
0
#s(literal 0 binary64)
(* c a)
(*.f64 a c)
c
a
(/ b_2 a)
(/.f64 b_2 a)
b_2

localize229.0ms (1.8%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 c a)
✓accuracy100.0%
(-.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) a) (/.f64 b_2 a))
✓accuracy99.7%
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) a)
✓accuracy81.1%
(sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)))
✓accuracy100.0%
(+.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2))
✓accuracy98.6%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)) c))
✓accuracy94.8%
(/.f64 (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)) c)
✓accuracy92.9%
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)
✓accuracy100.0%
(/.f64 c b_2)
✓accuracy100.0%
(*.f64 b_2 #s(literal -2 binary64))
✓accuracy100.0%
(+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
✓accuracy99.7%
(*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))
✓accuracy100.0%
(/.f64 #s(literal -2 binary64) a)
✓accuracy99.8%
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
✓accuracy100.0%
(*.f64 a c)
✓accuracy98.0%
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))
✓accuracy90.3%
(-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)
✓accuracy72.6%
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
Results
106.0ms139×0valid
36.0ms28×2valid
33.0ms78×0invalid
10.0ms11×1valid
Compiler

Compiled 203 to 33 computations (83.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 94.0ms
ival-div: 51.0ms (54.1% of total)
ival-mult: 16.0ms (17% of total)
ival-sub: 13.0ms (13.8% of total)
ival-sqrt: 5.0ms (5.3% of total)
backward-pass: 5.0ms (5.3% of total)
ival-add: 3.0ms (3.2% of total)
const: 1.0ms (1.1% of total)

series34.0ms (0.3%)

Counts
21 → 576
Calls
Call 1
Inputs
#<alt (* (/ 1 a) (- (sqrt (- (* b_2 b_2) (* a c))) b_2))>
#<alt (/ 1 a)>
#<alt (- (sqrt (- (* b_2 b_2) (* a c))) b_2)>
#<alt (sqrt (- (* b_2 b_2) (* a c)))>
#<alt (* (/ -2 a) b_2)>
#<alt (/ -2 a)>
#<alt (+ (/ (* b_2 -2) a) (* (/ c b_2) 1/2))>
#<alt (/ (* b_2 -2) a)>
#<alt (* b_2 -2)>
#<alt (* (/ c b_2) 1/2)>
#<alt (/ 1 (/ (+ (* b_2 -2) (/ (* 1/2 (* c a)) b_2)) c))>
#<alt (/ (+ (* b_2 -2) (/ (* 1/2 (* c a)) b_2)) c)>
#<alt (+ (* b_2 -2) (/ (* 1/2 (* c a)) b_2))>
#<alt (- (/ (sqrt (- 0 (* c a))) a) (/ b_2 a))>
#<alt (/ (sqrt (- 0 (* c a))) a)>
#<alt (sqrt (- 0 (* c a)))>
#<alt (- 0 (* c a))>
#<alt (* a c)>
#<alt (/ c b_2)>
#<alt (/ (* 1/2 (* c a)) b_2)>
#<alt (* c a)>
Outputs
#<alt (* -1/2 (/ c b_2))>
#<alt (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))>
#<alt (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))>
#<alt (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1/2 (/ c b_2))>
#<alt (/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)>
#<alt (/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)>
#<alt (/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)>
#<alt (* -2 (/ b_2 a))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (/ 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 (* (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)))>
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#<alt (* b_2 (- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c))))>
#<alt (* b_2 (- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c))))>
#<alt (* b_2 (- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c))))>
#<alt (* -2 (/ b_2 c))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))))>
#<alt (* -2 (/ b_2 c))>
#<alt (/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) c)>
#<alt (/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) c)>
#<alt (/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) c)>
#<alt (* 1/2 (/ a b_2))>
#<alt (+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))>
#<alt (+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))>
#<alt (+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))>
#<alt (* 1/2 (/ a b_2))>
#<alt (+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))>
#<alt (+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))>
#<alt (+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))>
#<alt (* -2 (/ b_2 c))>
#<alt (+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))>
#<alt (+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))>
#<alt (+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))>
#<alt (* 1/2 (/ a b_2))>
#<alt (* a (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))>
#<alt (* a (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))>
#<alt (* a (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))>
#<alt (* 1/2 (/ a b_2))>
#<alt (* -1 (* a (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))>
#<alt (* -1 (* a (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))>
#<alt (* -1 (* a (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (/ (+ (* -2 (pow b_2 2)) (* 1/2 (* a c))) b_2)>
#<alt (/ (+ (* -2 (pow b_2 2)) (* 1/2 (* a c))) b_2)>
#<alt (/ (+ (* -2 (pow b_2 2)) (* 1/2 (* a c))) b_2)>
#<alt (* -2 b_2)>
#<alt (* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))>
#<alt (* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))>
#<alt (* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))>
#<alt (* -2 b_2)>
#<alt (* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* -2 b_2)>
#<alt (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2)))>
#<alt (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2)))>
#<alt (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2)))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* c (+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2))))>
#<alt (* c (+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2))))>
#<alt (* c (+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2))))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* -1 (* c (+ (* -1/2 (/ a b_2)) (* 2 (/ b_2 c)))))>
#<alt (* -1 (* c (+ (* -1/2 (/ a b_2)) (* 2 (/ b_2 c)))))>
#<alt (* -1 (* c (+ (* -1/2 (/ a b_2)) (* 2 (/ b_2 c)))))>
#<alt (* -2 b_2)>
#<alt (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2)))>
#<alt (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2)))>
#<alt (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2)))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* a (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2))))>
#<alt (* a (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2))))>
#<alt (* a (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2))))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* -1 (* a (+ (* -1/2 (/ c b_2)) (* 2 (/ b_2 a)))))>
#<alt (* -1 (* a (+ (* -1/2 (/ c b_2)) (* 2 (/ b_2 a)))))>
#<alt (* -1 (* a (+ (* -1/2 (/ c b_2)) (* 2 (/ b_2 a)))))>
#<alt (- (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))>
#<alt (- (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))>
#<alt (- (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))>
#<alt (- (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 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))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (/ b_2 a))>
#<alt (* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))>
#<alt (* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))>
#<alt (* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))>
#<alt (* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))>
#<alt (* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<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))>
#<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 (/ c b_2)>
#<alt (/ c b_2)>
#<alt (/ c b_2)>
#<alt (/ c b_2)>
#<alt (/ c b_2)>
#<alt (/ c b_2)>
#<alt (/ c b_2)>
#<alt (/ c b_2)>
#<alt (/ c b_2)>
#<alt (/ c b_2)>
#<alt (/ c b_2)>
#<alt (/ c b_2)>
#<alt (/ c b_2)>
#<alt (/ c b_2)>
#<alt (/ c b_2)>
#<alt (/ c b_2)>
#<alt (/ c b_2)>
#<alt (/ c b_2)>
#<alt (/ c b_2)>
#<alt (/ c b_2)>
#<alt (/ c b_2)>
#<alt (/ c b_2)>
#<alt (/ c b_2)>
#<alt (/ c b_2)>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<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)>
Calls

144 calls:

TimeVariablePointExpression
2.0ms
c
@-inf
(* (/ c b_2) 1/2)
2.0ms
b_2
@inf
(/ (* 1/2 (* c a)) b_2)
1.0ms
c
@0
(- (/ (sqrt (- 0 (* c a))) a) (/ b_2 a))
1.0ms
a
@0
(- (/ (sqrt (- 0 (* c a))) a) (/ b_2 a))
1.0ms
b_2
@inf
(/ 1 (/ (+ (* b_2 -2) (/ (* 1/2 (* c a)) b_2)) c))

rewrite314.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
2632×fma-lowering-fma.f32
2632×fma-lowering-fma.f64
2438×/-lowering-/.f32
2438×/-lowering-/.f64
2398×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032138
1218135
21999132
08841132
Stop Event
1×iter limit
1×node limit
Counts
21 → 658
Calls
Call 1
Inputs
(* (/ 1 a) (- (sqrt (- (* b_2 b_2) (* a c))) b_2))
(/ 1 a)
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
(sqrt (- (* b_2 b_2) (* a c)))
(* (/ -2 a) b_2)
(/ -2 a)
(+ (/ (* b_2 -2) a) (* (/ c b_2) 1/2))
(/ (* b_2 -2) a)
(* b_2 -2)
(* (/ c b_2) 1/2)
(/ 1 (/ (+ (* b_2 -2) (/ (* 1/2 (* c a)) b_2)) c))
(/ (+ (* b_2 -2) (/ (* 1/2 (* c a)) b_2)) c)
(+ (* b_2 -2) (/ (* 1/2 (* c a)) b_2))
(- (/ (sqrt (- 0 (* c a))) a) (/ b_2 a))
(/ (sqrt (- 0 (* c a))) a)
(sqrt (- 0 (* c a)))
(- 0 (* c a))
(* a c)
(/ c b_2)
(/ (* 1/2 (* c a)) b_2)
(* c a)
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) b_2)))
(+.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (/.f64 #s(literal 1 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a)))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) b_2)))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a)))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64)) (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 a (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2))) (*.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64)) (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2))) (*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64)) (*.f64 b_2 (*.f64 b_2 b_2))) #s(literal 1 binary64)) (*.f64 (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) a))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64)) (*.f64 b_2 (*.f64 b_2 b_2))) #s(literal -1 binary64)) (*.f64 (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (*.f64 (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)) #s(literal 1 binary64)) (*.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a))
(/.f64 (*.f64 (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)) #s(literal -1 binary64)) (*.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) (-.f64 #s(literal 0 binary64) a))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64)) (*.f64 b_2 (*.f64 b_2 b_2)))) (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2))) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) a))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) (-.f64 #s(literal 0 binary64) a))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64)) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 #s(literal 1 binary64) a)) (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))
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(/.f64 (sqrt.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c))))))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c (*.f64 a c))))))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal 0 binary64))) (*.f64 c (-.f64 #s(literal 0 binary64) a)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 c (-.f64 #s(literal 0 binary64) a)) (*.f64 a (*.f64 c (*.f64 a c)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c (*.f64 a c))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c (*.f64 a c)))))) (neg.f64 (*.f64 c (-.f64 #s(literal 0 binary64) a))))
(pow.f64 (*.f64 a c) #s(literal 1 binary64))
(pow.f64 (*.f64 c (-.f64 #s(literal 0 binary64) a)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 c (-.f64 #s(literal 0 binary64) a))) #s(literal 2 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 c (-.f64 #s(literal 0 binary64) a)))) #s(literal 2 binary64))
(pow.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 (*.f64 c (-.f64 #s(literal 0 binary64) a)) (*.f64 a (*.f64 c (*.f64 a c))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 a c) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c (*.f64 a c))))) #s(literal -1 binary64))
(*.f64 a (-.f64 #s(literal 0 binary64) c))
(*.f64 c (-.f64 #s(literal 0 binary64) a))
(*.f64 (sqrt.f64 (*.f64 c (-.f64 #s(literal 0 binary64) a))) (sqrt.f64 (*.f64 c (-.f64 #s(literal 0 binary64) a))))
(*.f64 (-.f64 #s(literal 0 binary64) c) a)
(*.f64 #s(literal -1 binary64) (*.f64 a c))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 c (-.f64 #s(literal 0 binary64) a)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 c (-.f64 #s(literal 0 binary64) a)))))
(*.f64 (-.f64 #s(literal 0 binary64) a) c)
(*.f64 (*.f64 (*.f64 c (-.f64 #s(literal 0 binary64) a)) (*.f64 a (*.f64 c (*.f64 a c)))) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a c)))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c (*.f64 a c)))) (/.f64 #s(literal 1 binary64) (*.f64 a c)))
(*.f64 (pow.f64 (*.f64 a c) #s(literal 1/2 binary64)) (pow.f64 (*.f64 a c) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c (*.f64 a c))))
(*.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a (*.f64 a c))))
(*.f64 (sqrt.f64 (*.f64 a a)) (sqrt.f64 (*.f64 c c)))
(*.f64 (sqrt.f64 (*.f64 c c)) (sqrt.f64 (*.f64 a a)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 a c) a)) (sqrt.f64 c))
(*.f64 (sqrt.f64 (*.f64 (*.f64 a c) c)) (sqrt.f64 a))
(+.f64 (*.f64 a c) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 a c))
(fma.f64 a c #s(literal 0 binary64))
(fma.f64 c a #s(literal 0 binary64))
(/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 a c))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 c (-.f64 #s(literal 0 binary64) a)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c (*.f64 a c))))) (neg.f64 (*.f64 c (-.f64 #s(literal 0 binary64) a))))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c))))) (*.f64 a (*.f64 c (*.f64 a c))))
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))))) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c (*.f64 a c)))))
(*.f64 a c)
(*.f64 c a)
(exp.f64 (*.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64)))
(neg.f64 (/.f64 c (-.f64 #s(literal 0 binary64) b_2)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) c) b_2))
(/.f64 #s(literal 1 binary64) (/.f64 b_2 c))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b_2 c) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 b_2 c))))
(/.f64 c b_2)
(/.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 #s(literal 0 binary64) b_2))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b_2 c)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 b_2 c) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) c)) (neg.f64 (-.f64 #s(literal 0 binary64) b_2)))
(/.f64 (*.f64 c #s(literal 1 binary64)) b_2)
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) c))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) b_2))))
(/.f64 (neg.f64 (*.f64 c #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) b_2))
(pow.f64 (/.f64 b_2 c) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 b_2 c) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 c b_2))
(*.f64 c (/.f64 #s(literal 1 binary64) b_2))
(*.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b_2)))
(*.f64 (/.f64 #s(literal 1 binary64) b_2) c)
(*.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) c)))
(exp.f64 (*.f64 (log.f64 (/.f64 b_2 (*.f64 c (*.f64 a #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) b_2)))
(neg.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) b_2))
(/.f64 #s(literal 1 binary64) (/.f64 b_2 (*.f64 c (*.f64 a #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b_2 (*.f64 c (*.f64 a #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 b_2 (*.f64 c (*.f64 a #s(literal 1/2 binary64)))))))
(/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b_2 (*.f64 c (*.f64 a #s(literal 1/2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 b_2 (*.f64 c (*.f64 a #s(literal 1/2 binary64)))) #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) b_2))
(/.f64 (*.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) #s(literal 1 binary64)) b_2)
(/.f64 (neg.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) b_2)))
(/.f64 (neg.f64 (*.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) b_2))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) b_2))))
(pow.f64 (/.f64 b_2 (*.f64 c (*.f64 a #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 b_2 (*.f64 c (*.f64 a #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a c) b_2))
(*.f64 (*.f64 a c) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b_2)))
(*.f64 (*.f64 a c) (/.f64 #s(literal 1/2 binary64) b_2))
(*.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) b_2))
(*.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b_2)))
(*.f64 (/.f64 #s(literal 1 binary64) b_2) (*.f64 c (*.f64 a #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) b_2) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(*.f64 (*.f64 c #s(literal 1/2 binary64)) (/.f64 a b_2))
(*.f64 (/.f64 (*.f64 a c) b_2) #s(literal 1/2 binary64))
(+.f64 (*.f64 a c) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 a c))
(fma.f64 a c #s(literal 0 binary64))
(fma.f64 c a #s(literal 0 binary64))
(/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 a c))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 c (-.f64 #s(literal 0 binary64) a)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c (*.f64 a c))))) (neg.f64 (*.f64 c (-.f64 #s(literal 0 binary64) a))))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c))))) (*.f64 a (*.f64 c (*.f64 a c))))
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))))) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c (*.f64 a c)))))
(*.f64 a c)
(*.f64 c a)

simplify387.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
6970×*-lowering-*.f32
6970×*-lowering-*.f64
3464×+-lowering-+.f64
3464×+-lowering-+.f32
1678×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07266363
125286132
083396132
Stop Event
1×iter limit
1×node limit
Counts
576 → 576
Calls
Call 1
Inputs
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(* -1/2 (/ c b_2))
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(* -2 (/ b_2 a))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(* -1/2 (/ c b_2))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(* (sqrt (/ c a)) (sqrt -1))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(* (sqrt (* a c)) (sqrt -1))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(* -1/2 (/ (* a c) b_2))
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)
(* -2 b_2)
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* -1/2 (/ (* a c) b_2))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1/2 (/ (* a c) b_2))
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* (sqrt (* a c)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
b_2
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))
(* -1 b_2)
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(/ -2 a)
(/ -2 a)
(/ -2 a)
(/ -2 a)
(/ -2 a)
(/ -2 a)
(/ -2 a)
(/ -2 a)
(/ -2 a)
(/ -2 a)
(/ -2 a)
(/ -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 (/ (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) (* 1/2 (/ (* a c) b_2))) a)
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(* 1/2 (/ c b_2))
(+ (* -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))
(+ (* -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)))
(* -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))))
(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* 1/2 (/ c b_2))
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* 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))
(* 2 (/ b_2 a))
(* b_2 (+ (* 8 (/ (pow b_2 2) (* (pow a 2) c))) (* 2 (/ 1 a))))
(* b_2 (+ (* (pow b_2 2) (+ (* 32 (/ (pow b_2 2) (* (pow a 3) (pow c 2)))) (* 8 (/ 1 (* (pow a 2) c))))) (* 2 (/ 1 a))))
(* b_2 (+ (* (pow b_2 2) (+ (* (pow b_2 2) (+ (* 128 (/ (pow b_2 2) (* (pow a 4) (pow c 3)))) (* 32 (/ 1 (* (pow a 3) (pow c 2)))))) (* 8 (/ 1 (* (pow a 2) c))))) (* 2 (/ 1 a))))
(* -1/2 (/ c b_2))
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (- (+ (* -1/2 c) (* -1/32 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))) (* 1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (- (+ (* -1/2 c) (* -1/128 (/ (* (pow a 3) (pow c 4)) (pow b_2 6)))) (+ (* 1/32 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))))) b_2)
(* -1/2 (/ c b_2))
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(* -1 (/ (- (+ (* 1/32 (/ (* (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 (/ (- (+ (* 1/128 (/ (* (pow a 3) (pow c 4)) (pow b_2 6))) (* 1/2 c)) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/32 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2))
(* -1/2 (/ c b_2))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (- (* -1/32 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (- (* c (- (* -1/128 (/ (* (pow a 3) c) (pow b_2 7))) (* 1/32 (/ (pow a 2) (pow b_2 5))))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2))))
(* 2 (/ b_2 a))
(+ (* 2 (/ b_2 a)) (* 8 (/ (pow b_2 3) (* (pow a 2) c))))
(- (+ (* 2 (/ b_2 a)) (* 32 (/ (pow b_2 5) (* (pow a 3) (pow c 2))))) (* -8 (/ (pow b_2 3) (* (pow a 2) c))))
(- (+ (* 2 (/ b_2 a)) (* 128 (/ (pow b_2 7) (* (pow a 4) (pow c 3))))) (+ (* -32 (/ (pow b_2 5) (* (pow a 3) (pow c 2)))) (* -8 (/ (pow b_2 3) (* (pow a 2) c)))))
(* 2 (/ b_2 a))
(+ (* 2 (/ b_2 a)) (* 8 (/ (pow b_2 3) (* (pow a 2) c))))
(+ (* -1 (/ (- (* -32 (/ (pow b_2 5) (* (pow a 3) c))) (* 8 (/ (pow b_2 3) (pow a 2)))) c)) (* 2 (/ b_2 a)))
(+ (* -1 (/ (- (* -1 (/ (- (* 128 (/ (pow b_2 7) (* (pow a 4) c))) (* -32 (/ (pow b_2 5) (pow a 3)))) c)) (* 8 (/ (pow b_2 3) (pow a 2)))) c)) (* 2 (/ b_2 a)))
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -1/2 (/ c b_2)) (* a (- (* -1/32 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3))))))
(+ (* -1/2 (/ c b_2)) (* a (- (* a (- (* -1/128 (/ (* a (pow c 4)) (pow b_2 7))) (* 1/32 (/ (pow c 3) (pow b_2 5))))) (* 1/8 (/ (pow c 2) (pow b_2 3))))))
(* 2 (/ b_2 a))
(/ (+ (* 2 b_2) (* 8 (/ (pow b_2 3) (* a c)))) a)
(/ (- (+ (* 2 b_2) (* 32 (/ (pow b_2 5) (* (pow a 2) (pow c 2))))) (* -8 (/ (pow b_2 3) (* a c)))) a)
(/ (- (+ (* 2 b_2) (* 128 (/ (pow b_2 7) (* (pow a 3) (pow c 3))))) (+ (* -32 (/ (pow b_2 5) (* (pow a 2) (pow c 2)))) (* -8 (/ (pow b_2 3) (* a c))))) a)
(* 2 (/ b_2 a))
(* -1 (/ (+ (* -8 (/ (pow b_2 3) (* a c))) (* -2 b_2)) a))
(* -1 (/ (+ (* -2 b_2) (* -1 (/ (- (* 32 (/ (pow b_2 5) (* a (pow c 2)))) (* -8 (/ (pow b_2 3) c))) a))) a))
(* -1 (/ (+ (* -2 b_2) (* -1 (/ (- (* -1 (/ (- (* -128 (/ (pow b_2 7) (* a (pow c 3)))) (* 32 (/ (pow b_2 5) (pow c 2)))) a)) (* -8 (/ (pow b_2 3) c))) a))) a))
(* 1/2 (/ a b_2))
(/ (+ (* -2 (/ (pow b_2 2) c)) (* 1/2 a)) b_2)
(/ (+ (* -2 (/ (pow b_2 2) c)) (* 1/2 a)) b_2)
(/ (+ (* -2 (/ (pow b_2 2) c)) (* 1/2 a)) b_2)
(* -2 (/ b_2 c))
(* b_2 (- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c))))
(* b_2 (- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c))))
(* b_2 (- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c))))
(* -2 (/ b_2 c))
(* -1 (* b_2 (+ (* -1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))))
(* -1 (* b_2 (+ (* -1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))))
(* -1 (* b_2 (+ (* -1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))))
(* -2 (/ b_2 c))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) c)
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) c)
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) c)
(* 1/2 (/ a b_2))
(+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))
(+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))
(+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))
(* 1/2 (/ a b_2))
(+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))
(+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))
(+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))
(* -2 (/ b_2 c))
(+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))
(+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))
(+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))
(* 1/2 (/ a b_2))
(* a (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* a (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* a (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* 1/2 (/ a b_2))
(* -1 (* a (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -1 (* a (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -1 (* a (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* 1/2 (/ (* a c) b_2))
(/ (+ (* -2 (pow b_2 2)) (* 1/2 (* a c))) b_2)
(/ (+ (* -2 (pow b_2 2)) (* 1/2 (* a c))) b_2)
(/ (+ (* -2 (pow b_2 2)) (* 1/2 (* a c))) b_2)
(* -2 b_2)
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))
(* -2 b_2)
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -2 b_2)
(+ (* -2 b_2) (* 1/2 (/ (* a c) b_2)))
(+ (* -2 b_2) (* 1/2 (/ (* a c) b_2)))
(+ (* -2 b_2) (* 1/2 (/ (* a c) b_2)))
(* 1/2 (/ (* a c) b_2))
(* c (+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2))))
(* c (+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2))))
(* c (+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2))))
(* 1/2 (/ (* a c) b_2))
(* -1 (* c (+ (* -1/2 (/ a b_2)) (* 2 (/ b_2 c)))))
(* -1 (* c (+ (* -1/2 (/ a b_2)) (* 2 (/ b_2 c)))))
(* -1 (* c (+ (* -1/2 (/ a b_2)) (* 2 (/ b_2 c)))))
(* -2 b_2)
(+ (* -2 b_2) (* 1/2 (/ (* a c) b_2)))
(+ (* -2 b_2) (* 1/2 (/ (* a c) b_2)))
(+ (* -2 b_2) (* 1/2 (/ (* a c) b_2)))
(* 1/2 (/ (* a c) b_2))
(* a (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2))))
(* a (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2))))
(* a (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2))))
(* 1/2 (/ (* a c) b_2))
(* -1 (* a (+ (* -1/2 (/ c b_2)) (* 2 (/ b_2 a)))))
(* -1 (* a (+ (* -1/2 (/ c b_2)) (* 2 (/ b_2 a)))))
(* -1 (* a (+ (* -1/2 (/ c b_2)) (* 2 (/ b_2 a)))))
(- (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))
(- (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))
(- (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))
(- (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))
(* (sqrt (/ c a)) (sqrt -1))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ b_2 a))
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))
(* -1 (/ b_2 a))
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))
(* (sqrt (/ c a)) (sqrt -1))
(* (sqrt (/ c a)) (sqrt -1))
(* (sqrt (/ c a)) (sqrt -1))
(* (sqrt (/ c a)) (sqrt -1))
(* (sqrt (/ c a)) (sqrt -1))
(* (sqrt (/ c a)) (sqrt -1))
(* (sqrt (/ c a)) (sqrt -1))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* (sqrt (/ c a)) (sqrt -1))
(* (sqrt (/ c a)) (sqrt -1))
(* (sqrt (/ c a)) (sqrt -1))
(* (sqrt (/ c a)) (sqrt -1))
(* (sqrt (/ c a)) (sqrt -1))
(* (sqrt (/ c a)) (sqrt -1))
(* (sqrt (/ c a)) (sqrt -1))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* (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 (* 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))
(* 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)
(/ c b_2)
(/ c b_2)
(/ c b_2)
(/ c b_2)
(/ c b_2)
(/ c b_2)
(/ c b_2)
(/ c b_2)
(/ c b_2)
(/ c b_2)
(/ c b_2)
(/ c b_2)
(/ c b_2)
(/ c b_2)
(/ c b_2)
(/ c b_2)
(/ c b_2)
(/ c b_2)
(/ c b_2)
(/ c b_2)
(/ c b_2)
(/ c b_2)
(/ c b_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))
(* 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)
Outputs
(* -1/2 (/ c b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) a) (*.f64 b_2 (*.f64 b_2 b_2))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 (*.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 c (*.f64 c c))) a) (pow.f64 b_2 #s(literal 5 binary64))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 a (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 5/64 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) b_2) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b_2 #s(literal 5 binary64))))))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(-.f64 (+.f64 (*.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 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)))) (/.f64 b_2 a))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) (-.f64 (+.f64 (*.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 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)))) (/.f64 b_2 a)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 b_2 a))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 b_2 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 b_2 (*.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))))) a))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 b_2 (/.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a))))) (pow.f64 b_2 #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64)))) a)) a))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b_2 (+.f64 (*.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))))
(+ (* 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)))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b_2 (+.f64 (*.f64 b_2 (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (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))))
(* -1/2 (/ c b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) c) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) a) (*.f64 b_2 b_2))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) a) (*.f64 b_2 b_2)) (+.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64)))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 c (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 5/64 binary64))) (*.f64 a (pow.f64 b_2 #s(literal 6 binary64)))))) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) a) (*.f64 b_2 b_2)) (*.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64)))))) b_2)
(* -2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) a) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) a) (pow.f64 b_2 #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b_2 b_2))))) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) a) (*.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b_2 #s(literal 6 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) a) (pow.f64 b_2 #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b_2 b_2))))) (-.f64 #s(literal 0 binary64) b_2))
(* -1/2 (/ c b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c a)) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 #s(literal -1/2 binary64) b_2)))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(*.f64 c (+.f64 (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) a) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 (*.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a a)) c) (pow.f64 b_2 #s(literal 5 binary64))))) (/.f64 #s(literal -1/2 binary64) b_2)))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(*.f64 c (+.f64 (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) a) (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 c (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) c) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 5/64 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) (*.f64 b_2 a)) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a a)) (pow.f64 b_2 #s(literal 5 binary64))))))) (/.f64 #s(literal -1/2 binary64) b_2)))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(*.f64 c (-.f64 (*.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 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(*.f64 c (+.f64 (-.f64 (*.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 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c))))))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(*.f64 c (+.f64 (+.f64 (-.f64 (*.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 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c))))))) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64))))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(*.f64 (+.f64 (/.f64 b_2 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(-.f64 #s(literal 0 binary64) (*.f64 c (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64))) (/.f64 b_2 a)) c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(-.f64 #s(literal 0 binary64) (*.f64 c (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 b_2 a)) (/.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) c)) (pow.f64 b_2 #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64))) (*.f64 (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b_2 (*.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64)))) c)) c))))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) b_2)
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) (*.f64 b_2 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) #s(literal -1 binary64))))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
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(* -1/2 (/ (* a c) b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) b_2)
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 a a)) (*.f64 b_2 b_2))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 a a)) (*.f64 b_2 b_2)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) (/.f64 (*.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c))) (pow.f64 b_2 #s(literal 4 binary64))))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 c a) (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 5/64 binary64))) (pow.f64 b_2 #s(literal 6 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 a a)) (*.f64 b_2 b_2)) (/.f64 (*.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c))) (pow.f64 b_2 #s(literal 4 binary64))))) b_2)
(* -2 b_2)
(*.f64 b_2 #s(literal -2 binary64))
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) (*.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) (*.f64 b_2 b_2)) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 a a)) (pow.f64 b_2 #s(literal 4 binary64))))) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 a a)) (pow.f64 b_2 #s(literal 4 binary64))) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) (*.f64 b_2 b_2)) (/.f64 (*.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c))) (pow.f64 b_2 #s(literal 6 binary64)))))) (-.f64 #s(literal 0 binary64) b_2))
(* -1/2 (/ (* a c) b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) b_2)
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) a) (*.f64 b_2 (*.f64 b_2 b_2)))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 (*.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 c (*.f64 c c))) a) (pow.f64 b_2 #s(literal 5 binary64)))))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
(*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 a (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 5/64 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) b_2) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b_2 #s(literal 5 binary64)))))))))
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(*.f64 a (-.f64 (*.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 (*.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 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)))) (/.f64 b_2 a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))
(*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) (-.f64 (+.f64 (*.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 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)))) (/.f64 b_2 a))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(*.f64 a (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 b_2 a)))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64))) b_2) a)) (neg.f64 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 #s(literal 0 binary64) (*.f64 a (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a))))) (pow.f64 b_2 #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (neg.f64 a)) b_2) a))))
(* -1/2 (/ (* a c) b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) b_2)
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))
(*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) a) b_2) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) c) (*.f64 b_2 (*.f64 b_2 b_2)))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))
(*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) a) b_2) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 c (*.f64 a (*.f64 a a)))) (pow.f64 b_2 #s(literal 5 binary64)))))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))
(*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) a) b_2) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 c (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) c) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 5/64 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) b_2) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a (*.f64 a a))) (pow.f64 b_2 #s(literal 5 binary64)))))))))
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(*.f64 c (-.f64 (*.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 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a))))) (*.f64 b_2 b_2))) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64))) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a))))) (*.f64 b_2 b_2))) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b_2 c)))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a)))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(*.f64 (+.f64 (/.f64 b_2 c) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(*.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64))) b_2) c)) (neg.f64 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 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 (-.f64 (/.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (pow.f64 b_2 #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (neg.f64 c)) b_2) 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)))
(+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64)))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) (*.f64 (*.f64 b_2 b_2) (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c)))) (*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (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) (+ (* 1/2 (* (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)))))))))
(+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) (*.f64 (*.f64 b_2 b_2) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 b_2 b_2) (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c))))) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (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))))))))))
b_2
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) (*.f64 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))))))
(*.f64 b_2 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) (*.f64 b_2 b_2)) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 a a)) (pow.f64 b_2 #s(literal 4 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)))))))
(*.f64 b_2 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 a a)) (pow.f64 b_2 #s(literal 4 binary64))) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) (*.f64 b_2 b_2)) (/.f64 (*.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c))) (pow.f64 b_2 #s(literal 6 binary64)))))))
(* -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 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) (*.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) (*.f64 b_2 b_2)) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 a a)) (pow.f64 b_2 #s(literal 4 binary64))))) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 a a)) (pow.f64 b_2 #s(literal 4 binary64))) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) (*.f64 b_2 b_2)) (/.f64 (*.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c))) (pow.f64 b_2 #s(literal 6 binary64)))))) (-.f64 #s(literal 0 binary64) b_2))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+.f64 b_2 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) 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))))))))
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b_2
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(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a)))
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a)))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 c a))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 c a))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 c a))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 c a))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 c a))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 c a))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 c a))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 c a))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 c a))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 c a))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 c a))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 c a))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 c a))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 c a))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 c a))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 c a))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 c a))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 c a))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 c a))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 c a))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 c a))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 c a))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 c a))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 c a))
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(/ c b_2)
(/.f64 c b_2)
(/ c b_2)
(/.f64 c b_2)
(/ c b_2)
(/.f64 c b_2)
(/ c b_2)
(/.f64 c b_2)
(/ c b_2)
(/.f64 c b_2)
(/ c b_2)
(/.f64 c b_2)
(/ c b_2)
(/.f64 c b_2)
(/ c b_2)
(/.f64 c b_2)
(/ c b_2)
(/.f64 c b_2)
(/ c b_2)
(/.f64 c b_2)
(/ c b_2)
(/.f64 c b_2)
(/ c b_2)
(/.f64 c b_2)
(/ c b_2)
(/.f64 c b_2)
(/ c b_2)
(/.f64 c b_2)
(/ c b_2)
(/.f64 c b_2)
(/ c b_2)
(/.f64 c b_2)
(/ c b_2)
(/.f64 c b_2)
(/ c b_2)
(/.f64 c b_2)
(/ c b_2)
(/.f64 c b_2)
(/ c b_2)
(/.f64 c b_2)
(/ c b_2)
(/.f64 c b_2)
(/ c b_2)
(/.f64 c b_2)
(/ c b_2)
(/.f64 c b_2)
(/ c b_2)
(/.f64 c b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)

eval151.0ms (1.2%)

Compiler

Compiled 25177 to 2786 computations (88.9% saved)

prune177.0ms (1.4%)

Pruning

44 alts after pruning (40 fresh and 4 done)

PrunedKeptTotal
New1257261283
Fresh81422
Picked325
Done022
Total1268441312
Accuracy
99.8%
Counts
1312 → 44
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.2%
(/.f64 (/.f64 (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)) a) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
26.1%
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 b_2 b_2) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 c a))) b_2) a)
24.6%
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) b_2) a)
30.4%
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2))) (/.f64 #s(literal 1 binary64) c))
12.7%
(/.f64 (-.f64 (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2)))) b_2) a)
26.6%
(/.f64 (-.f64 (*.f64 a (sqrt.f64 (*.f64 c (-.f64 #s(literal 0 binary64) a)))) (*.f64 a b_2)) (*.f64 a a))
✓55.9%
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
36.4%
(/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2) a)
24.3%
(/.f64 (+.f64 (*.f64 (*.f64 b_2 #s(literal -2 binary64)) b_2) (*.f64 c (*.f64 a #s(literal 1/2 binary64)))) (*.f64 a b_2))
26.5%
(/.f64 (*.f64 (+.f64 #s(literal 8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -1/8 binary64)) (*.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 b_2 (*.f64 b_2 b_2))))) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a))) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2)) #s(literal 2 binary64)) (/.f64 (*.f64 b_2 b_2) (*.f64 (*.f64 a c) #s(literal -1/2 binary64))))))
12.7%
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
31.4%
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
▶2.6%
(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
✓35.2%
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
30.5%
(/.f64 c (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2)))
2.6%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2) c))
35.2%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b_2) #s(literal -2 binary64)))
31.1%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (*.f64 (*.f64 c #s(literal 1/2 binary64)) (/.f64 a b_2))) c))
30.8%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c))
27.0%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2))) c))
2.6%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b_2))
▶36.4%
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2)))
31.1%
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b_2)))
▶29.9%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2))))
24.8%
(/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) (*.f64 c a)))))
34.6%
(-.f64 (/.f64 (pow.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal 1/4 binary64)) a) (/.f64 b_2 a))
23.3%
(-.f64 (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) c)) (sqrt.f64 a)) a) (/.f64 b_2 a))
22.0%
(-.f64 (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) a)) (sqrt.f64 c)) a) (/.f64 b_2 a))
27.1%
(-.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 a c))) a) (/.f64 b_2 a))
36.4%
(-.f64 (/.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) a) (/.f64 b_2 a))
36.4%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (pow.f64 (*.f64 c (-.f64 #s(literal 0 binary64) a)) #s(literal -1/2 binary64)))) (/.f64 b_2 a))
35.2%
(+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (/.f64 #s(literal 1/2 binary64) (/.f64 b_2 c)))
23.1%
(*.f64 (/.f64 c (-.f64 (*.f64 (*.f64 b_2 b_2) #s(literal 4 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 a c) b_2) (/.f64 (*.f64 a c) b_2))))) (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) b_2))))
13.6%
(*.f64 (/.f64 c (+.f64 (*.f64 (*.f64 b_2 (*.f64 b_2 b_2)) #s(literal -8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal 1/8 binary64)) (*.f64 b_2 (*.f64 b_2 b_2))))) (+.f64 (*.f64 (*.f64 b_2 b_2) #s(literal 4 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2) (*.f64 b_2 #s(literal -2 binary64))) (/.f64 b_2 (*.f64 c (*.f64 a #s(literal 1/2 binary64)))))))
30.5%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2))) c)
▶39.5%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)))
24.5%
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) b_2))
✓55.8%
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))
36.4%
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (*.f64 c (-.f64 #s(literal 0 binary64) a))) b_2))
✓35.1%
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
22.7%
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b_2 (+.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
31.1%
(*.f64 (+.f64 (/.f64 (/.f64 (*.f64 b_2 #s(literal 2 binary64)) a) c) (/.f64 #s(literal -1/2 binary64) b_2)) (neg.f64 c))
16.7%
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 a #s(literal -2 binary64))) #s(literal -1 binary64))) b_2)
▶34.4%
(*.f64 b_2 (+.f64 (/.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)))
Compiler

Compiled 1528 to 986 computations (35.5% saved)

simplify208.0ms (1.6%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)))
✓cost-diff0
(-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2)
✓cost-diff0
(/.f64 a (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2)))
✓cost-diff0
(+.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2))
✓cost-diff0
(/.f64 #s(literal 1 binary64) c)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2))))
✓cost-diff256
(*.f64 (/.f64 #s(literal 1 binary64) c) (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2)))
✓cost-diff0
(*.f64 c #s(literal 1/2 binary64))
✓cost-diff0
(/.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 b_2 b_2))
✓cost-diff0
(+.f64 (/.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a))
✓cost-diff128
(*.f64 b_2 (+.f64 (/.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)))
✓cost-diff0
(*.f64 b_2 #s(literal 2 binary64))
✓cost-diff0
(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
✓cost-diff0
(*.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))
✓cost-diff0
(*.f64 a a)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 a a))
✓cost-diff384
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)))
Rules
3276×*-lowering-*.f32
3276×*-lowering-*.f64
2144×/-lowering-/.f32
2144×/-lowering-/.f64
1784×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
038220
1116214
2279202
3795201
42145201
53978201
08266201
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (/ 1 (* a a)) (* a (- (sqrt (- (* b_2 b_2) (* a c))) b_2)))
(/ 1 (* a a))
1
(* a a)
a
(* a (- (sqrt (- (* b_2 b_2) (* a c))) b_2))
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
(sqrt (- (* b_2 b_2) (* a c)))
(- (* b_2 b_2) (* a c))
(* b_2 b_2)
b_2
(* a c)
c
(/ (* b_2 2) a)
(* b_2 2)
b_2
2
a
(* 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))
(* c 1/2)
c
1/2
(* b_2 b_2)
(/ -2 a)
-2
a
(/ 1 (* (/ 1 c) (+ (* b_2 -2) (/ (* c (* a 1/2)) b_2))))
1
(* (/ 1 c) (+ (* b_2 -2) (/ (* c (* a 1/2)) b_2)))
(/ 1 c)
c
(+ (* b_2 -2) (/ (* c (* a 1/2)) b_2))
(* b_2 -2)
b_2
-2
(/ (* c (* a 1/2)) b_2)
(* c (* a 1/2))
(* a 1/2)
a
1/2
(/ 1 (/ a (- (sqrt (- 0 (* c a))) b_2)))
1
(/ a (- (sqrt (- 0 (* c a))) b_2))
a
(- (sqrt (- 0 (* c a))) b_2)
(sqrt (- 0 (* c a)))
(- 0 (* c a))
0
(* c a)
c
b_2
Outputs
(* (/ 1 (* a a)) (* a (- (sqrt (- (* b_2 b_2) (* a c))) b_2)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
(/ 1 (* a a))
(/.f64 (/.f64 #s(literal 1 binary64) a) a)
1
#s(literal 1 binary64)
(* a a)
(*.f64 a a)
a
(* a (- (sqrt (- (* b_2 b_2) (* a c))) b_2))
(*.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
(-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)
(sqrt (- (* b_2 b_2) (* a c)))
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
(- (* b_2 b_2) (* a c))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(* b_2 b_2)
(*.f64 b_2 b_2)
b_2
(* a c)
(*.f64 a c)
c
(/ (* b_2 2) a)
(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
(* b_2 2)
(*.f64 b_2 #s(literal 2 binary64))
b_2
2
#s(literal 2 binary64)
a
(* b_2 (+ (/ (* c 1/2) (* b_2 b_2)) (/ -2 a)))
(+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (/.f64 #s(literal 1/2 binary64) (/.f64 b_2 c)))
b_2
(+ (/ (* c 1/2) (* b_2 b_2)) (/ -2 a))
(+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b_2 b_2) c)) (/.f64 #s(literal -2 binary64) a))
(/ (* c 1/2) (* b_2 b_2))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b_2 b_2) c))
(* c 1/2)
(*.f64 c #s(literal 1/2 binary64))
c
1/2
#s(literal 1/2 binary64)
(* b_2 b_2)
(*.f64 b_2 b_2)
(/ -2 a)
(/.f64 #s(literal -2 binary64) a)
-2
#s(literal -2 binary64)
a
(/ 1 (* (/ 1 c) (+ (* b_2 -2) (/ (* c (* a 1/2)) b_2))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c) (*.f64 #s(literal 1/2 binary64) (/.f64 a b_2))))
1
#s(literal 1 binary64)
(* (/ 1 c) (+ (* b_2 -2) (/ (* c (* a 1/2)) b_2)))
(+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c) (*.f64 #s(literal 1/2 binary64) (/.f64 a b_2)))
(/ 1 c)
(/.f64 #s(literal 1 binary64) c)
c
(+ (* b_2 -2) (/ (* c (* a 1/2)) b_2))
(+.f64 (*.f64 b_2 #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a c) b_2)))
(* b_2 -2)
(*.f64 b_2 #s(literal -2 binary64))
b_2
-2
#s(literal -2 binary64)
(/ (* c (* a 1/2)) b_2)
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a c) b_2))
(* c (* a 1/2))
(*.f64 a (*.f64 c #s(literal 1/2 binary64)))
(* a 1/2)
(*.f64 a #s(literal 1/2 binary64))
a
1/2
#s(literal 1/2 binary64)
(/ 1 (/ a (- (sqrt (- 0 (* c a))) b_2)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))) b_2) a)
1
#s(literal 1 binary64)
(/ a (- (sqrt (- 0 (* c a))) b_2))
(/.f64 a (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))) b_2))
a
(- (sqrt (- 0 (* c a))) b_2)
(-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))) b_2)
(sqrt (- 0 (* c a)))
(sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)))
(- 0 (* c a))
(-.f64 #s(literal 0 binary64) (*.f64 a c))
0
#s(literal 0 binary64)
(* c a)
(*.f64 a c)
c
b_2

localize315.0ms (2.5%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2)
✓accuracy99.9%
(/.f64 a (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2)))
✓accuracy81.1%
(sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)))
✓accuracy100.0%
(+.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2))
✓accuracy98.6%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2))))
✓accuracy94.6%
(*.f64 (/.f64 #s(literal 1 binary64) c) (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2)))
✓accuracy92.9%
(/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2)
✓accuracy100.0%
(*.f64 b_2 b_2)
✓accuracy100.0%
(+.f64 (/.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a))
✓accuracy92.9%
(*.f64 b_2 (+.f64 (/.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)))
✓accuracy92.1%
(/.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 b_2 b_2))
✓accuracy100.0%
(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
✓accuracy100.0%
(*.f64 b_2 #s(literal 2 binary64))
✓accuracy99.2%
(*.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))
✓accuracy90.3%
(-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)
✓accuracy72.6%
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
✓accuracy68.6%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)))
Results
71.0ms139×0valid
60.0ms28×2valid
44.0ms78×0invalid
15.0ms11×1valid
Compiler

Compiled 252 to 39 computations (84.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 78.0ms
ival-mult: 25.0ms (31.9% of total)
ival-div: 21.0ms (26.8% of total)
backward-pass: 12.0ms (15.3% of total)
ival-add: 7.0ms (8.9% of total)
ival-sub: 6.0ms (7.7% of total)
ival-sqrt: 5.0ms (6.4% of total)
const: 1.0ms (1.3% of total)

series33.0ms (0.3%)

Counts
22 → 612
Calls
Call 1
Inputs
#<alt (* (/ 1 (* a a)) (* a (- (sqrt (- (* b_2 b_2) (* a c))) b_2)))>
#<alt (/ 1 (* a a))>
#<alt (* a a)>
#<alt (* a (- (sqrt (- (* b_2 b_2) (* a c))) b_2))>
#<alt (/ (* b_2 2) a)>
#<alt (* b_2 2)>
#<alt (* b_2 (+ (/ (* c 1/2) (* b_2 b_2)) (/ -2 a)))>
#<alt (+ (/ (* c 1/2) (* b_2 b_2)) (/ -2 a))>
#<alt (/ (* c 1/2) (* b_2 b_2))>
#<alt (* c 1/2)>
#<alt (* (/ 1 c) (+ (* b_2 -2) (/ (* c (* a 1/2)) b_2)))>
#<alt (/ 1 (* (/ 1 c) (+ (* b_2 -2) (/ (* c (* a 1/2)) b_2))))>
#<alt (/ 1 c)>
#<alt (+ (* b_2 -2) (/ (* c (* a 1/2)) b_2))>
#<alt (/ 1 (/ a (- (sqrt (- 0 (* c a))) b_2)))>
#<alt (/ a (- (sqrt (- 0 (* c a))) b_2))>
#<alt (- (sqrt (- 0 (* c a))) b_2)>
#<alt (sqrt (- 0 (* c a)))>
#<alt (sqrt (- (* b_2 b_2) (* a c)))>
#<alt (- (sqrt (- (* b_2 b_2) (* a c))) b_2)>
#<alt (* b_2 b_2)>
#<alt (/ (* c (* a 1/2)) b_2)>
Outputs
#<alt (* -1/2 (/ c b_2))>
#<alt (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))>
#<alt (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))>
#<alt (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1/2 (/ c b_2))>
#<alt (/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)>
#<alt (/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)>
#<alt (/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)>
#<alt (* -2 (/ b_2 a))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (/ 1 (pow a 2))>
#<alt (/ 1 (pow a 2))>
#<alt (/ 1 (pow a 2))>
#<alt (/ 1 (pow a 2))>
#<alt (/ 1 (pow a 2))>
#<alt (/ 1 (pow a 2))>
#<alt (/ 1 (pow a 2))>
#<alt (/ 1 (pow a 2))>
#<alt (/ 1 (pow a 2))>
#<alt (/ 1 (pow a 2))>
#<alt (/ 1 (pow a 2))>
#<alt (/ 1 (pow a 2))>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (* -1/2 (/ (* (pow a 2) c) b_2))>
#<alt (* (pow a 2) (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))>
#<alt (* (pow a 2) (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))>
#<alt (* (pow a 2) (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))>
#<alt (* (sqrt (* (pow a 3) c)) (sqrt -1))>
#<alt (* (pow a 2) (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* (pow a 2) (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
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#<alt (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2)))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* a (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2))))>
#<alt (* a (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2))))>
#<alt (* a (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2))))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* -1 (* a (+ (* -1/2 (/ c b_2)) (* 2 (/ b_2 a)))))>
#<alt (* -1 (* a (+ (* -1/2 (/ c b_2)) (* 2 (/ b_2 a)))))>
#<alt (* -1 (* a (+ (* -1/2 (/ c b_2)) (* 2 (/ b_2 a)))))>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 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))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (/ b_2 a))>
#<alt (* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))>
#<alt (* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))>
#<alt (* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))>
#<alt (* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))>
#<alt (* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))>
#<alt (/ a (- (* (sqrt (* a c)) (sqrt -1)) b_2))>
#<alt (/ a (- (* (sqrt (* a c)) (sqrt -1)) b_2))>
#<alt (/ a (- (* (sqrt (* a c)) (sqrt -1)) b_2))>
#<alt (/ a (- (* (sqrt (* a c)) (sqrt -1)) b_2))>
#<alt (* (sqrt (/ a c)) (/ 1 (sqrt -1)))>
#<alt (+ (* (sqrt (/ a c)) (/ 1 (sqrt -1))) (/ b_2 (* c (pow (sqrt -1) 2))))>
#<alt (- (+ (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))))>
#<alt (- (+ (* (sqrt (/ a c)) (/ 1 (sqrt -1))) (/ (pow b_2 3) (* a (* (pow c 2) (pow (sqrt -1) 4))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* -1 (/ b_2 (* c (pow (sqrt -1) 2))))))>
#<alt (* -1 (* (sqrt (/ a c)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ b_2 c)))>
#<alt (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1))) (* -1 (/ (* a b_2) c))) a)))>
#<alt (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (/ (* a (pow b_2 3)) (pow c 2)) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) a)) (* -1 (/ (* a b_2) c))) a)))>
#<alt (/ a (- (* (sqrt (* a c)) (sqrt -1)) b_2))>
#<alt (/ a (- (* (sqrt (* a c)) (sqrt -1)) b_2))>
#<alt (/ a (- (* (sqrt (* a c)) (sqrt -1)) b_2))>
#<alt (/ a (- (* (sqrt (* a c)) (sqrt -1)) b_2))>
#<alt (* (sqrt (/ a c)) (/ 1 (sqrt -1)))>
#<alt (/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (/ b_2 (pow (sqrt -1) 2))) c)>
#<alt (/ (- (+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* -1 (/ b_2 (pow (sqrt -1) 2)))) c)>
#<alt (/ (- (+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (/ (pow b_2 3) (* a (* c (pow (sqrt -1) 4))))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* -1 (/ b_2 (pow (sqrt -1) 2))))) c)>
#<alt (* -1 (* (sqrt (/ a c)) (sqrt -1)))>
#<alt (* -1 (/ (+ b_2 (* (sqrt (* a c)) (sqrt -1))) c))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1)))) (* b_2 c)) c)) (* (sqrt (* a c)) (sqrt -1))) c))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow b_2 3) c) a)) (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1))))) c)) (* b_2 c)) c)) (* (sqrt (* a c)) (sqrt -1))) c))>
#<alt (* (sqrt (/ a c)) (/ 1 (sqrt -1)))>
#<alt (+ (* (sqrt (/ a c)) (/ 1 (sqrt -1))) (/ b_2 (* c (pow (sqrt -1) 2))))>
#<alt (+ (* b_2 (+ (* (sqrt (/ 1 (* a (pow c 3)))) (/ b_2 (pow (sqrt -1) 3))) (/ 1 (* c (pow (sqrt -1) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -1))))>
#<alt (+ (* b_2 (+ (* b_2 (- (/ b_2 (* a (* (pow c 2) (pow (sqrt -1) 4)))) (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (* c (pow (sqrt -1) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -1))))>
#<alt (* -1 (/ a b_2))>
#<alt (/ (+ (* -1 a) (* -1 (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)))) b_2)>
#<alt (/ (- (+ (* -1 a) (* -1 (/ (* (pow a 2) (* c (pow (sqrt -1) 2))) (pow b_2 2)))) (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2))) b_2)>
#<alt (/ (- (+ (* -1 a) (* -1 (* (sqrt (* (pow a 5) (pow c 3))) (/ (pow (sqrt -1) 3) (pow b_2 3))))) (+ (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)) (/ (* (pow a 2) (* c (pow (sqrt -1) 2))) (pow b_2 2)))) b_2)>
#<alt (* -1 (/ a b_2))>
#<alt (* -1 (/ (+ a (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2))) b_2))>
#<alt (* -1 (/ (+ a (* -1 (/ (- (* -1 (/ (* (pow a 2) (* c (pow (sqrt -1) 2))) b_2)) (* (sqrt (* (pow a 3) c)) (sqrt -1))) b_2))) b_2))>
#<alt (* -1 (/ (+ a (* -1 (/ (- (* -1 (/ (- (* (sqrt (* (pow a 5) (pow c 3))) (/ (pow (sqrt -1) 3) b_2)) (* -1 (* (pow a 2) (* c (pow (sqrt -1) 2))))) b_2)) (* (sqrt (* (pow a 3) c)) (sqrt -1))) b_2))) b_2))>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))>
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))>
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))>
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))>
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 b_2)>
#<alt (* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))>
#<alt (* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))>
#<alt (* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))>
#<alt (* -1 b_2)>
#<alt (* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))>
#<alt (* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))>
#<alt (* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* (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 (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)>
#<alt (/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)>
#<alt (/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)>
#<alt (* -2 b_2)>
#<alt (* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))>
#<alt (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))>
#<alt (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))>
#<alt (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))>
#<alt (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))>
#<alt (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))>
#<alt (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))>
#<alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (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 (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
Calls

153 calls:

TimeVariablePointExpression
2.0ms
c
@-inf
(* b_2 (+ (/ (* c 1/2) (* b_2 b_2)) (/ -2 a)))
2.0ms
b_2
@inf
(sqrt (- (* b_2 b_2) (* a c)))
1.0ms
b_2
@0
(* b_2 (+ (/ (* c 1/2) (* b_2 b_2)) (/ -2 a)))
1.0ms
c
@0
(* b_2 (+ (/ (* c 1/2) (* b_2 b_2)) (/ -2 a)))
1.0ms
b_2
@inf
(/ a (- (sqrt (- 0 (* c a))) b_2))

rewrite355.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
2710×fma-lowering-fma.f32
2710×fma-lowering-fma.f64
2584×*-lowering-*.f32
2584×*-lowering-*.f64
1874×prod-diff
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038165
1258158
22354151
08375151
Stop Event
1×iter limit
1×node limit
Counts
22 → 507
Calls
Call 1
Inputs
(* (/ 1 (* a a)) (* a (- (sqrt (- (* b_2 b_2) (* a c))) b_2)))
(/ 1 (* a a))
(* a a)
(* a (- (sqrt (- (* b_2 b_2) (* a c))) b_2))
(/ (* b_2 2) a)
(* b_2 2)
(* b_2 (+ (/ (* c 1/2) (* b_2 b_2)) (/ -2 a)))
(+ (/ (* c 1/2) (* b_2 b_2)) (/ -2 a))
(/ (* c 1/2) (* b_2 b_2))
(* c 1/2)
(* (/ 1 c) (+ (* b_2 -2) (/ (* c (* a 1/2)) b_2)))
(/ 1 (* (/ 1 c) (+ (* b_2 -2) (/ (* c (* a 1/2)) b_2))))
(/ 1 c)
(+ (* b_2 -2) (/ (* c (* a 1/2)) b_2))
(/ 1 (/ a (- (sqrt (- 0 (* c a))) b_2)))
(/ a (- (sqrt (- 0 (* c a))) b_2))
(- (sqrt (- 0 (* c a))) b_2)
(sqrt (- 0 (* c a)))
(sqrt (- (* b_2 b_2) (* a c)))
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
(* b_2 b_2)
(/ (* c (* a 1/2)) b_2)
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) b_2)))
(+.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (/.f64 #s(literal 1 binary64) a)) (*.f64 (-.f64 #s(literal 0 binary64) b_2) (/.f64 #s(literal 1 binary64) a)))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal 0 binary64) b_2) (/.f64 #s(literal 1 binary64) a)))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) b_2)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) (*.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))))
(/.f64 (*.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) (*.f64 a a))
(/.f64 (neg.f64 (*.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))) (-.f64 #s(literal 0 binary64) (*.f64 a a)))
(/.f64 (/.f64 (*.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) a) a)
(/.f64 (*.f64 (*.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 a a)))
(/.f64 (*.f64 (*.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) (/.f64 #s(literal 1 binary64) a)) a)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64)) (*.f64 b_2 (*.f64 b_2 b_2)))) (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2))) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))) (-.f64 #s(literal 0 binary64) (*.f64 a a)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))) a)
(pow.f64 (/.f64 (*.f64 a a) (*.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) (/.f64 #s(literal 1 binary64) a)))
(*.f64 a (*.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) (/.f64 #s(literal 1 binary64) (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)))
(*.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) (/.f64 #s(literal 1 binary64) a))
(*.f64 (*.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) a))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) a)
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 a)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 a) #s(literal -2 binary64)))
(exp.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 a))))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 a a)))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 #s(literal 1 binary64) a)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 a a)))
(/.f64 (/.f64 #s(literal 1 binary64) a) a)
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a)) (-.f64 #s(literal 0 binary64) a))
(pow.f64 a #s(literal -2 binary64))
(pow.f64 (*.f64 a a) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 2 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a))) #s(literal -1 binary64))
(pow.f64 (/.f64 a (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) a))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 a)))
(exp.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 a)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(/.f64 (*.f64 a a) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) #s(literal -1 binary64))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64))
(*.f64 a a)
(*.f64 a (/.f64 a #s(literal 1 binary64)))
(*.f64 (*.f64 a a) #s(literal 1 binary64))
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)))
(+.f64 (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (*.f64 a (-.f64 #s(literal 0 binary64) b_2)))
(+.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (*.f64 (-.f64 #s(literal 0 binary64) b_2) a))
(fma.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 a (-.f64 #s(literal 0 binary64) b_2)))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a (*.f64 (-.f64 #s(literal 0 binary64) b_2) a))
(/.f64 (*.f64 a (-.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64)) (*.f64 b_2 (*.f64 b_2 b_2)))) (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))
(/.f64 (*.f64 a (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2))) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64)) (*.f64 b_2 (*.f64 b_2 b_2))) a) (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))
(/.f64 (*.f64 (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)) a) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(*.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)))
(*.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))
(*.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
(*.f64 (*.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) a)
(exp.f64 (*.f64 (log.f64 (/.f64 a (*.f64 b_2 #s(literal 2 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b_2 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (*.f64 b_2 #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) a))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (*.f64 b_2 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 b_2 #s(literal -2 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) a)))
(/.f64 (*.f64 (*.f64 b_2 #s(literal 2 binary64)) #s(literal 1 binary64)) a)
(pow.f64 (/.f64 a (*.f64 b_2 #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 a (*.f64 b_2 #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 #s(literal 2 binary64)) a))
(*.f64 b_2 (/.f64 #s(literal 2 binary64) a))
(*.f64 #s(literal 2 binary64) (/.f64 b_2 a))
(*.f64 #s(literal 2 binary64) (*.f64 b_2 (/.f64 #s(literal 1 binary64) a)))
(*.f64 (*.f64 b_2 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b_2 #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 b_2 #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) a) b_2)
(*.f64 b_2 #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) b_2)
(+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2))
(+.f64 (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a))
(fma.f64 b_2 (/.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a))
(fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2))
(fma.f64 c (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b_2 b_2)) b_2) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a))
(fma.f64 (*.f64 c #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) b_2) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a))
(fma.f64 (/.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) b_2 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a))
(fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) b_2) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2))
(fma.f64 (/.f64 #s(literal -2 binary64) a) b_2 (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2))
(fma.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2))
(fma.f64 (/.f64 c b_2) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) b_2) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a))
(fma.f64 (*.f64 b_2 c) (/.f64 #s(literal 1/2 binary64) (*.f64 b_2 b_2)) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a))
(fma.f64 (*.f64 b_2 (*.f64 c #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 b_2 b_2)) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a))
(fma.f64 (*.f64 b_2 (/.f64 c b_2)) (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) #s(literal 1/8 binary64)) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 (*.f64 (*.f64 b_2 (*.f64 b_2 b_2)) #s(literal -8 binary64)) (*.f64 (*.f64 a a) a))) (+.f64 (*.f64 (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)) (-.f64 (*.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)) (*.f64 (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)) (*.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a))) (-.f64 (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)))
(/.f64 (*.f64 b_2 (+.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (*.f64 b_2 (*.f64 b_2 #s(literal -2 binary64))))) (*.f64 a (*.f64 b_2 b_2)))
(/.f64 (*.f64 b_2 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) #s(literal 1/8 binary64)) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))))) (/.f64 #s(literal -8 binary64) (*.f64 (*.f64 a a) a)))) (+.f64 (/.f64 (*.f64 (*.f64 c #s(literal 1/2 binary64)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)) (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (/.f64 #s(literal -2 binary64) a) (-.f64 (/.f64 #s(literal -2 binary64) a) (/.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 b_2 b_2))))))
(/.f64 (*.f64 b_2 (-.f64 (/.f64 (*.f64 (*.f64 c #s(literal 1/2 binary64)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 #s(literal 4 binary64) (*.f64 a a)))) (+.f64 (/.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a)))
(/.f64 (*.f64 (+.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (*.f64 b_2 (*.f64 b_2 #s(literal -2 binary64)))) b_2) (*.f64 a (*.f64 b_2 b_2)))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2))))
(/.f64 (-.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64)) (*.f64 b_2 (*.f64 b_2 b_2))) (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))
(/.f64 (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64)) (*.f64 b_2 (*.f64 b_2 b_2)))) (neg.f64 (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))
(/.f64 (neg.f64 (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2))) (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 b_2 (*.f64 b_2 b_2)))) (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) b_2) (-.f64 #s(literal 0 binary64) b_2)) (*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 #s(literal 0 binary64) b_2)))))
(/.f64 (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 (-.f64 #s(literal 0 binary64) b_2) (-.f64 #s(literal 0 binary64) b_2))) (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 #s(literal 0 binary64) b_2)))
(pow.f64 (/.f64 (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (-.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64)) (*.f64 b_2 (*.f64 b_2 b_2)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2))) #s(literal -1 binary64))
(*.f64 (-.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64)) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))
(*.f64 (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)) (/.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 b_2)))
(pow.f64 b_2 #s(literal 2 binary64))
(pow.f64 (*.f64 b_2 b_2) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 b_2)) #s(literal 2 binary64))
(*.f64 b_2 b_2)
(*.f64 (exp.f64 (log.f64 b_2)) (exp.f64 (log.f64 b_2)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 b_2 c) (*.f64 a #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) b_2)))
(neg.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) b_2))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b_2 c) (*.f64 a #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 b_2 c) (*.f64 a #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) b_2)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 b_2 c) (*.f64 a #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) b_2))
(/.f64 (*.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) #s(literal 1 binary64)) b_2)
(/.f64 (neg.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) b_2)))
(pow.f64 (/.f64 (/.f64 b_2 c) (*.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (/.f64 b_2 c) (*.f64 a #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (/.f64 #s(literal 1/2 binary64) b_2))))
(*.f64 c (*.f64 a (/.f64 #s(literal 1/2 binary64) b_2)))
(*.f64 (*.f64 a #s(literal 1/2 binary64)) (/.f64 c b_2))
(*.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) b_2))
(*.f64 (*.f64 a c) (/.f64 #s(literal 1/2 binary64) b_2))
(*.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b_2)))
(*.f64 (/.f64 #s(literal 1 binary64) b_2) (*.f64 a (*.f64 c #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) b_2) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(*.f64 (*.f64 a (/.f64 #s(literal 1/2 binary64) b_2)) c)

simplify395.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
5780×*-lowering-*.f32
5780×*-lowering-*.f64
4872×+-lowering-+.f64
4872×+-lowering-+.f32
1418×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
010138395
136077893
081367893
Stop Event
1×iter limit
1×node limit
Counts
612 → 612
Calls
Call 1
Inputs
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(* -1/2 (/ c b_2))
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(* -2 (/ b_2 a))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(* -1/2 (/ c b_2))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(* (sqrt (/ c a)) (sqrt -1))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(/ 1 (pow a 2))
(/ 1 (pow a 2))
(/ 1 (pow a 2))
(/ 1 (pow a 2))
(/ 1 (pow a 2))
(/ 1 (pow a 2))
(/ 1 (pow a 2))
(/ 1 (pow a 2))
(/ 1 (pow a 2))
(/ 1 (pow a 2))
(/ 1 (pow a 2))
(/ 1 (pow a 2))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(* -1/2 (/ (* (pow a 2) c) b_2))
(* (pow a 2) (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(* (pow a 2) (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* (pow a 2) (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
(* (sqrt (* (pow a 3) c)) (sqrt -1))
(* (pow a 2) (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* (pow a 2) (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* (pow a 2) (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a))))
(* (sqrt (* (pow a 3) c)) (sqrt -1))
(+ (* -1 (* a b_2)) (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(+ (* b_2 (+ (* -1 a) (* 1/2 (* (sqrt (/ a c)) (/ b_2 (sqrt -1)))))) (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(+ (* b_2 (+ (* -1 a) (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))))))) (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(* -1/2 (/ (* (pow a 2) c) b_2))
(/ (+ (* -1/2 (* (pow a 2) c)) (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 (* (pow a 2) c)) (+ (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 (* (pow a 2) c)) (+ (* -1/2 (/ (* a (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4))))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 4)))))) b_2)
(* -2 (* a b_2))
(* -1 (* b_2 (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (* 2 a))))
(* -1 (* b_2 (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 2 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 6))) (* 2 a))))))
(* -1/2 (/ (* (pow a 2) c) b_2))
(* c (+ (* -1/2 (/ (pow a 2) b_2)) (* -1/8 (/ (* (pow a 3) c) (pow b_2 3)))))
(* c (+ (* -1/2 (/ (pow a 2) b_2)) (* c (+ (* -1/8 (/ (pow a 3) (pow b_2 3))) (* -1/16 (/ (* (pow a 4) c) (pow b_2 5)))))))
(* c (+ (* -1/2 (/ (pow a 2) b_2)) (* c (+ (* -1/8 (/ (pow a 3) (pow b_2 3))) (* c (+ (* -1/2 (/ (* a (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6)))))) b_2)) (* -1/16 (/ (pow a 4) (pow b_2 5)))))))))
(* (sqrt (* (pow a 3) c)) (sqrt -1))
(* c (+ (* -1 (/ (* a b_2) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1))))
(* c (+ (* -1 (/ (* a b_2) c)) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(* c (+ (* -1 (/ (* a b_2) c)) (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1))))))
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ (pow a 3) c)) (sqrt -1)) (/ (* a b_2) c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (* a b_2)) (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (* a b_2)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (* a c)) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 b_2)
(* 2 b_2)
(* 2 b_2)
(* 2 b_2)
(* 2 b_2)
(* 2 b_2)
(* 2 b_2)
(* 2 b_2)
(* 2 b_2)
(* 2 b_2)
(* 2 b_2)
(* 2 b_2)
(* 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))))
(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* 1/2 (/ c b_2))
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -2 (/ b_2 a))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(* 1/2 (/ c b_2))
(+ (* -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))
(+ (* -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)))
(/ -2 a)
(- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(* 1/2 (/ c (pow b_2 2)))
(* c (- (* 1/2 (/ 1 (pow b_2 2))) (* 2 (/ 1 (* a c)))))
(* c (- (* 1/2 (/ 1 (pow b_2 2))) (* 2 (/ 1 (* a c)))))
(* c (- (* 1/2 (/ 1 (pow b_2 2))) (* 2 (/ 1 (* a c)))))
(* 1/2 (/ c (pow b_2 2)))
(* -1 (* c (- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2))))))
(* -1 (* c (- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2))))))
(* -1 (* c (- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2))))))
(* 1/2 (/ c (pow b_2 2)))
(/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) (pow b_2 2))
(/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) (pow b_2 2))
(/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) (pow b_2 2))
(/ -2 a)
(- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(/ -2 a)
(- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(/ -2 a)
(/ (- (* 1/2 (/ (* a c) (pow b_2 2))) 2) a)
(/ (- (* 1/2 (/ (* a c) (pow b_2 2))) 2) a)
(/ (- (* 1/2 (/ (* a c) (pow b_2 2))) 2) a)
(* 1/2 (/ c (pow b_2 2)))
(- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(* 1/2 (/ c (pow b_2 2)))
(- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(* 1/2 (/ c (pow b_2 2)))
(* 1/2 (/ c (pow b_2 2)))
(* 1/2 (/ c (pow b_2 2)))
(* 1/2 (/ c (pow b_2 2)))
(* 1/2 (/ c (pow b_2 2)))
(* 1/2 (/ c (pow b_2 2)))
(* 1/2 (/ c (pow b_2 2)))
(* 1/2 (/ c (pow b_2 2)))
(* 1/2 (/ c (pow b_2 2)))
(* 1/2 (/ c (pow b_2 2)))
(* 1/2 (/ c (pow b_2 2)))
(* 1/2 (/ c (pow b_2 2)))
(* 1/2 (/ c (pow b_2 2)))
(* 1/2 (/ c (pow b_2 2)))
(* 1/2 (/ c (pow b_2 2)))
(* 1/2 (/ c (pow b_2 2)))
(* 1/2 (/ c (pow b_2 2)))
(* 1/2 (/ c (pow b_2 2)))
(* 1/2 (/ c (pow b_2 2)))
(* 1/2 (/ c (pow b_2 2)))
(* 1/2 (/ c (pow b_2 2)))
(* 1/2 (/ c (pow b_2 2)))
(* 1/2 (/ c (pow b_2 2)))
(* 1/2 (/ c (pow b_2 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)
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(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) c)
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) c)
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) c)
(* 1/2 (/ a b_2))
(+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))
(+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))
(+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))
(* 1/2 (/ a b_2))
(+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))
(+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))
(+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))
(* 1/2 (/ a b_2))
(/ (+ (* -2 (/ (pow b_2 2) c)) (* 1/2 a)) b_2)
(/ (+ (* -2 (/ (pow b_2 2) c)) (* 1/2 a)) b_2)
(/ (+ (* -2 (/ (pow b_2 2) c)) (* 1/2 a)) b_2)
(* -2 (/ b_2 c))
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(* -2 (/ b_2 c))
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(+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))
(+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))
(+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))
(* 1/2 (/ a b_2))
(* a (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* a (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* a (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* 1/2 (/ a b_2))
(* -1 (* a (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
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(* -1/2 (/ c b_2))
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(* 2 (/ b_2 a))
(+ (* 2 (/ b_2 a)) (* 8 (/ (pow b_2 3) (* (pow a 2) c))))
(- (+ (* 2 (/ b_2 a)) (* 32 (/ (pow b_2 5) (* (pow a 3) (pow c 2))))) (* -8 (/ (pow b_2 3) (* (pow a 2) c))))
(- (+ (* 2 (/ b_2 a)) (* 128 (/ (pow b_2 7) (* (pow a 4) (pow c 3))))) (+ (* -32 (/ (pow b_2 5) (* (pow a 3) (pow c 2)))) (* -8 (/ (pow b_2 3) (* (pow a 2) c)))))
(* 2 (/ b_2 a))
(+ (* 2 (/ b_2 a)) (* 8 (/ (pow b_2 3) (* (pow a 2) c))))
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(+ (* -1 (/ (- (* -1 (/ (- (* 128 (/ (pow b_2 7) (* (pow a 4) c))) (* -32 (/ (pow b_2 5) (pow a 3)))) c)) (* 8 (/ (pow b_2 3) (pow a 2)))) c)) (* 2 (/ b_2 a)))
(* 2 (/ b_2 a))
(* b_2 (+ (* 8 (/ (pow b_2 2) (* (pow a 2) c))) (* 2 (/ 1 a))))
(* b_2 (+ (* (pow b_2 2) (+ (* 32 (/ (pow b_2 2) (* (pow a 3) (pow c 2)))) (* 8 (/ 1 (* (pow a 2) c))))) (* 2 (/ 1 a))))
(* b_2 (+ (* (pow b_2 2) (+ (* (pow b_2 2) (+ (* 128 (/ (pow b_2 2) (* (pow a 4) (pow c 3)))) (* 32 (/ 1 (* (pow a 3) (pow c 2)))))) (* 8 (/ 1 (* (pow a 2) c))))) (* 2 (/ 1 a))))
(* -1/2 (/ c b_2))
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (- (+ (* -1/2 c) (* -1/32 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))) (* 1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (- (+ (* -1/2 c) (* -1/128 (/ (* (pow a 3) (pow c 4)) (pow b_2 6)))) (+ (* 1/32 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))))) b_2)
(* -1/2 (/ c b_2))
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(* -1 (/ (- (+ (* 1/32 (/ (* (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 (/ (- (+ (* 1/128 (/ (* (pow a 3) (pow c 4)) (pow b_2 6))) (* 1/2 c)) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/32 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2))
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -1/2 (/ c b_2)) (* a (- (* -1/32 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3))))))
(+ (* -1/2 (/ c b_2)) (* a (- (* a (- (* -1/128 (/ (* a (pow c 4)) (pow b_2 7))) (* 1/32 (/ (pow c 3) (pow b_2 5))))) (* 1/8 (/ (pow c 2) (pow b_2 3))))))
(* 2 (/ b_2 a))
(/ (+ (* 2 b_2) (* 8 (/ (pow b_2 3) (* a c)))) a)
(/ (- (+ (* 2 b_2) (* 32 (/ (pow b_2 5) (* (pow a 2) (pow c 2))))) (* -8 (/ (pow b_2 3) (* a c)))) a)
(/ (- (+ (* 2 b_2) (* 128 (/ (pow b_2 7) (* (pow a 3) (pow c 3))))) (+ (* -32 (/ (pow b_2 5) (* (pow a 2) (pow c 2)))) (* -8 (/ (pow b_2 3) (* a c))))) a)
(* 2 (/ b_2 a))
(* -1 (/ (+ (* -8 (/ (pow b_2 3) (* a c))) (* -2 b_2)) a))
(* -1 (/ (+ (* -2 b_2) (* -1 (/ (- (* 32 (/ (pow b_2 5) (* a (pow c 2)))) (* -8 (/ (pow b_2 3) c))) a))) a))
(* -1 (/ (+ (* -2 b_2) (* -1 (/ (- (* -1 (/ (- (* -128 (/ (pow b_2 7) (* a (pow c 3)))) (* 32 (/ (pow b_2 5) (pow c 2)))) a)) (* -8 (/ (pow b_2 3) c))) a))) a))
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(* 1/2 (/ (* a c) b_2))
(/ (+ (* -2 (pow b_2 2)) (* 1/2 (* a c))) b_2)
(/ (+ (* -2 (pow b_2 2)) (* 1/2 (* a c))) b_2)
(/ (+ (* -2 (pow b_2 2)) (* 1/2 (* a c))) b_2)
(* -2 b_2)
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))
(* -2 b_2)
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -2 b_2)
(+ (* -2 b_2) (* 1/2 (/ (* a c) b_2)))
(+ (* -2 b_2) (* 1/2 (/ (* a c) b_2)))
(+ (* -2 b_2) (* 1/2 (/ (* a c) b_2)))
(* 1/2 (/ (* a c) b_2))
(* c (+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2))))
(* c (+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2))))
(* c (+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2))))
(* 1/2 (/ (* a c) b_2))
(* -1 (* c (+ (* -1/2 (/ a b_2)) (* 2 (/ b_2 c)))))
(* -1 (* c (+ (* -1/2 (/ a b_2)) (* 2 (/ b_2 c)))))
(* -1 (* c (+ (* -1/2 (/ a b_2)) (* 2 (/ b_2 c)))))
(* -2 b_2)
(+ (* -2 b_2) (* 1/2 (/ (* a c) b_2)))
(+ (* -2 b_2) (* 1/2 (/ (* a c) b_2)))
(+ (* -2 b_2) (* 1/2 (/ (* a c) b_2)))
(* 1/2 (/ (* a c) b_2))
(* a (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2))))
(* a (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2))))
(* a (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2))))
(* 1/2 (/ (* a c) b_2))
(* -1 (* a (+ (* -1/2 (/ c b_2)) (* 2 (/ b_2 a)))))
(* -1 (* a (+ (* -1/2 (/ c b_2)) (* 2 (/ b_2 a)))))
(* -1 (* a (+ (* -1/2 (/ c b_2)) (* 2 (/ b_2 a)))))
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(* (sqrt (/ c a)) (sqrt -1))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ b_2 a))
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))
(* -1 (/ b_2 a))
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))
(/ a (- (* (sqrt (* a c)) (sqrt -1)) b_2))
(/ a (- (* (sqrt (* a c)) (sqrt -1)) b_2))
(/ a (- (* (sqrt (* a c)) (sqrt -1)) b_2))
(/ a (- (* (sqrt (* a c)) (sqrt -1)) b_2))
(* (sqrt (/ a c)) (/ 1 (sqrt -1)))
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -1))) (/ b_2 (* c (pow (sqrt -1) 2))))
(- (+ (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))))
(- (+ (* (sqrt (/ a c)) (/ 1 (sqrt -1))) (/ (pow b_2 3) (* a (* (pow c 2) (pow (sqrt -1) 4))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* -1 (/ b_2 (* c (pow (sqrt -1) 2))))))
(* -1 (* (sqrt (/ a c)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ b_2 c)))
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1))) (* -1 (/ (* a b_2) c))) a)))
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (/ (* a (pow b_2 3)) (pow c 2)) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) a)) (* -1 (/ (* a b_2) c))) a)))
(/ a (- (* (sqrt (* a c)) (sqrt -1)) b_2))
(/ a (- (* (sqrt (* a c)) (sqrt -1)) b_2))
(/ a (- (* (sqrt (* a c)) (sqrt -1)) b_2))
(/ a (- (* (sqrt (* a c)) (sqrt -1)) b_2))
(* (sqrt (/ a c)) (/ 1 (sqrt -1)))
(/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (/ b_2 (pow (sqrt -1) 2))) c)
(/ (- (+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* -1 (/ b_2 (pow (sqrt -1) 2)))) c)
(/ (- (+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (/ (pow b_2 3) (* a (* c (pow (sqrt -1) 4))))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* -1 (/ b_2 (pow (sqrt -1) 2))))) c)
(* -1 (* (sqrt (/ a c)) (sqrt -1)))
(* -1 (/ (+ b_2 (* (sqrt (* a c)) (sqrt -1))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1)))) (* b_2 c)) c)) (* (sqrt (* a c)) (sqrt -1))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow b_2 3) c) a)) (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1))))) c)) (* b_2 c)) c)) (* (sqrt (* a c)) (sqrt -1))) c))
(* (sqrt (/ a c)) (/ 1 (sqrt -1)))
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -1))) (/ b_2 (* c (pow (sqrt -1) 2))))
(+ (* b_2 (+ (* (sqrt (/ 1 (* a (pow c 3)))) (/ b_2 (pow (sqrt -1) 3))) (/ 1 (* c (pow (sqrt -1) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -1))))
(+ (* b_2 (+ (* b_2 (- (/ b_2 (* a (* (pow c 2) (pow (sqrt -1) 4)))) (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (* c (pow (sqrt -1) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -1))))
(* -1 (/ a b_2))
(/ (+ (* -1 a) (* -1 (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)))) b_2)
(/ (- (+ (* -1 a) (* -1 (/ (* (pow a 2) (* c (pow (sqrt -1) 2))) (pow b_2 2)))) (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2))) b_2)
(/ (- (+ (* -1 a) (* -1 (* (sqrt (* (pow a 5) (pow c 3))) (/ (pow (sqrt -1) 3) (pow b_2 3))))) (+ (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)) (/ (* (pow a 2) (* c (pow (sqrt -1) 2))) (pow b_2 2)))) b_2)
(* -1 (/ a b_2))
(* -1 (/ (+ a (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2))) b_2))
(* -1 (/ (+ a (* -1 (/ (- (* -1 (/ (* (pow a 2) (* c (pow (sqrt -1) 2))) b_2)) (* (sqrt (* (pow a 3) c)) (sqrt -1))) b_2))) b_2))
(* -1 (/ (+ a (* -1 (/ (- (* -1 (/ (- (* (sqrt (* (pow a 5) (pow c 3))) (/ (pow (sqrt -1) 3) b_2)) (* -1 (* (pow a 2) (* c (pow (sqrt -1) 2))))) b_2)) (* (sqrt (* (pow a 3) c)) (sqrt -1))) b_2))) 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)) b_2)
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -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))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* (sqrt (* a c)) (sqrt -1))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(* -1 b_2)
(* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))
(* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))
(* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))
(* -1 b_2)
(* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))
(* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))
(* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))
(* (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)))
(* (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)))))))
(* (sqrt (* a c)) (sqrt -1))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(* -1/2 (/ (* a c) b_2))
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)
(* -2 b_2)
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* -1/2 (/ (* a c) b_2))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1/2 (/ (* a c) b_2))
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(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)
(* 1/2 (/ (* 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))
Outputs
(* -1/2 (/ c b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b_2 (*.f64 b_2 b_2))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (pow.f64 b_2 #s(literal 5 binary64)))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)))) b_2) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b_2 #s(literal 5 binary64))))))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))))
(+ (* -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)))))
(+.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))))) (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(-.f64 (/.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 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 b_2 (*.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))))) a))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 b_2 (/.f64 (+.f64 (*.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 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))))) a)) a))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b_2 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c)) (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) a))))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b_2 (+.f64 (*.f64 b_2 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (/.f64 (*.f64 b_2 b_2) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c)) (sqrt.f64 #s(literal -1 binary64)))))) (/.f64 #s(literal -1 binary64) a))))
(* -1/2 (/ c b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) c) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b_2 b_2))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) c) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b_2 b_2))) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a))) (pow.f64 b_2 #s(literal 4 binary64)))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 c (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal 5/64 binary64)) (*.f64 a (pow.f64 b_2 #s(literal 6 binary64)))))) (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b_2 b_2)) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a))) (pow.f64 b_2 #s(literal 4 binary64))))) b_2)
(* -2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(*.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(*.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b_2 b_2)) (+.f64 (/.f64 #s(literal 2 binary64) a) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a (*.f64 c c))) (pow.f64 b_2 #s(literal 4 binary64))))) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(*.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b_2 b_2)) (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) a) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a (*.f64 c c))) (pow.f64 b_2 #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a))) (pow.f64 b_2 #s(literal 6 binary64))))) (-.f64 #s(literal 0 binary64) b_2))
(* -1/2 (/ c b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c a)) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 #s(literal -1/2 binary64) b_2)))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(*.f64 c (+.f64 (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) a) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 c (*.f64 a a))) (pow.f64 b_2 #s(literal 5 binary64))))) (/.f64 #s(literal -1/2 binary64) b_2)))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
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(- (* (sqrt (* a c)) (sqrt -1)) b_2)
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(- (* (sqrt (* a c)) (sqrt -1)) b_2)
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(- (* (sqrt (* a c)) (sqrt -1)) b_2)
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(- (* (sqrt (* a c)) (sqrt -1)) b_2)
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(- (* (sqrt (* a c)) (sqrt -1)) b_2)
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(- (* (sqrt (* a c)) (sqrt -1)) b_2)
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(- (* (sqrt (* a c)) (sqrt -1)) b_2)
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b_2
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(* -1 b_2)
(-.f64 #s(literal 0 binary64) b_2)
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) (*.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) (*.f64 b_2 b_2))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 c c) (*.f64 a a))) (pow.f64 b_2 #s(literal 4 binary64)))) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(*.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) (*.f64 b_2 b_2))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 c c) (*.f64 a a))) (pow.f64 b_2 #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))) (pow.f64 b_2 #s(literal 6 binary64))))) (-.f64 #s(literal 0 binary64) b_2))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+.f64 b_2 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 c a) b_2)))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(+.f64 b_2 (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) 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 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(+.f64 b_2 (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (pow.f64 b_2 #s(literal 5 binary64)))))))))
(* (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 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c))) (/.f64 (*.f64 b_2 b_2) (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 (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))))))
(* 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 (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 c a)) (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 #s(literal 0 binary64) (*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c)) (*.f64 b_2 b_2)) (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 (-.f64 #s(literal 0 binary64) a) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c)) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (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))))))))
(* -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 (-.f64 #s(literal 0 binary64) a) (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c)) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (pow.f64 b_2 #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (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))))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+.f64 b_2 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 c a) b_2)))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+.f64 b_2 (*.f64 c (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a b_2)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 a a))) (*.f64 b_2 (*.f64 b_2 b_2))))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(+.f64 b_2 (*.f64 c (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a b_2)) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (pow.f64 b_2 #s(literal 5 binary64)))))))))
(* (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 (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c))))))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(*.f64 c (+.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c))))))) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64))))))))
(* 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 (+.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))))) (*.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 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64))))))) (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c)))))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c 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 (+.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c))))))) (*.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 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64))))))) (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 (+.f64 (*.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 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))))) (+.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c))))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 b_2 #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))))))) (neg.f64 c))
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) b_2)
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) (*.f64 b_2 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64))))) #s(literal -1 binary64))))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) (*.f64 b_2 (+.f64 (*.f64 b_2 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)))))) #s(literal -1 binary64))))
(* -1/2 (/ (* a c) b_2))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 c a) b_2))
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)
(/.f64 (+.f64 (*.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)))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (*.f64 b_2 b_2))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))) (pow.f64 b_2 #s(literal 4 binary64)))))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 c a) (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal 5/64 binary64)) (pow.f64 b_2 #s(literal 6 binary64))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (*.f64 b_2 b_2))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))) (pow.f64 b_2 #s(literal 4 binary64)))))) b_2)
(* -2 b_2)
(*.f64 b_2 #s(literal -2 binary64))
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) (*.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(*.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) (*.f64 b_2 b_2))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 c c) (*.f64 a a))) (pow.f64 b_2 #s(literal 4 binary64)))) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(*.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) (*.f64 b_2 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))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))) (pow.f64 b_2 #s(literal 6 binary64)))))) (-.f64 #s(literal 0 binary64) b_2))
(* -1/2 (/ (* a c) b_2))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 c a) b_2))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b_2 (*.f64 b_2 b_2)))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (pow.f64 b_2 #s(literal 5 binary64))))))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
(*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)))) b_2) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b_2 #s(literal 5 binary64)))))))))
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(*.f64 a (-.f64 (*.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 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c))) (/.f64 (*.f64 b_2 b_2) (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)))) (/ b_2 a)))
(*.f64 a (+.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))))) (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(*.f64 a (-.f64 (/.f64 b_2 (-.f64 #s(literal 0 binary64) a)) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))))
(* -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 #s(literal 0 binary64) a) (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (*.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 (* 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 #s(literal 0 binary64) a) (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)))) (-.f64 #s(literal 0 binary64) a)) b_2) a)))
(* -1/2 (/ (* a c) b_2))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 c a) b_2))
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))
(*.f64 c (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a b_2)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 a a))) (*.f64 b_2 (*.f64 b_2 b_2)))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))
(*.f64 c (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a b_2)) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (pow.f64 b_2 #s(literal 5 binary64))))))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))
(*.f64 c (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a b_2)) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)))) b_2) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a (*.f64 a a))) (pow.f64 b_2 #s(literal 5 binary64)))))))))
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(*.f64 c (-.f64 (*.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 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c)))))) (-.f64 (*.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 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c)))))) (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b_2 c)))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(*.f64 (+.f64 (/.f64 b_2 c) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(*.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 (-.f64 (*.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) c)) (neg.f64 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 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 (-.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2))))) (neg.f64 c)) b_2) c)) (neg.f64 c))
(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)
(*.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)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)

eval134.0ms (1.1%)

Compiler

Compiled 23660 to 2754 computations (88.4% saved)

prune198.0ms (1.6%)

Pruning

52 alts after pruning (45 fresh and 7 done)

PrunedKeptTotal
New1120171137
Fresh72835
Picked235
Done044
Total1129521181
Accuracy
99.9%
Counts
1181 → 52
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.1%
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 b_2 b_2) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 c a))) b_2) a)
24.6%
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) b_2) a)
30.4%
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2))) (/.f64 #s(literal 1 binary64) c))
31.6%
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (*.f64 c (*.f64 a (/.f64 #s(literal 1/2 binary64) b_2))))) (/.f64 #s(literal 1 binary64) c))
36.4%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) #s(literal 1/2 binary64)) b_2)))
12.7%
(/.f64 (-.f64 (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2)))) b_2) a)
26.6%
(/.f64 (-.f64 (*.f64 a (sqrt.f64 (*.f64 c (-.f64 #s(literal 0 binary64) a)))) (*.f64 a b_2)) (*.f64 a a))
✓55.9%
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
36.4%
(/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2) a)
24.3%
(/.f64 (+.f64 (*.f64 (*.f64 b_2 #s(literal -2 binary64)) b_2) (*.f64 c (*.f64 a #s(literal 1/2 binary64)))) (*.f64 a b_2))
35.2%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) (*.f64 b_2 b_2))) (+.f64 b_2 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) #s(literal 1/2 binary64))))
26.5%
(/.f64 (*.f64 (+.f64 #s(literal 8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -1/8 binary64)) (*.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 b_2 (*.f64 b_2 b_2))))) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a))) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2)) #s(literal 2 binary64)) (/.f64 (*.f64 b_2 b_2) (*.f64 (*.f64 a c) #s(literal -1/2 binary64))))))
12.7%
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
31.4%
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
✓2.6%
(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
✓35.2%
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
31.7%
(/.f64 c (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (*.f64 c (*.f64 a (/.f64 #s(literal 1/2 binary64) b_2)))))
2.6%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2) c))
35.2%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b_2) #s(literal -2 binary64)))
13.2%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c)) (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 a (/.f64 #s(literal 1/2 binary64) b_2))) (*.f64 #s(literal 1 binary64) (*.f64 a (/.f64 #s(literal 1/2 binary64) b_2))))) (-.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c) (*.f64 #s(literal 1 binary64) (*.f64 a (/.f64 #s(literal 1/2 binary64) b_2))))))
31.1%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (*.f64 (*.f64 c #s(literal 1/2 binary64)) (/.f64 a b_2))) c))
30.8%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c))
27.0%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2))) c))
2.6%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b_2))
23.3%
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) c) #s(literal 1/2 binary64)) (pow.f64 a #s(literal 1/2 binary64))) b_2)))
22.0%
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 1/2 binary64)) (pow.f64 c #s(literal 1/2 binary64))) b_2)))
✓36.4%
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2)))
31.1%
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c) (*.f64 #s(literal 1 binary64) (*.f64 a (/.f64 #s(literal 1/2 binary64) b_2)))))
2.6%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)))
31.1%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b_2 c) (*.f64 a #s(literal 1/2 binary64)))))))
30.8%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 b_2 #s(literal -2 binary64))))
23.3%
(-.f64 (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) c)) (sqrt.f64 a)) a) (/.f64 b_2 a))
22.0%
(-.f64 (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) a)) (sqrt.f64 c)) a) (/.f64 b_2 a))
27.1%
(-.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 a c))) a) (/.f64 b_2 a))
36.4%
(-.f64 (/.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) a) (/.f64 b_2 a))
36.4%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (pow.f64 (*.f64 c (-.f64 #s(literal 0 binary64) a)) #s(literal -1/2 binary64)))) (/.f64 b_2 a))
35.2%
(+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (/.f64 #s(literal 1/2 binary64) (/.f64 b_2 c)))
23.1%
(*.f64 (/.f64 c (-.f64 (*.f64 (*.f64 b_2 b_2) #s(literal 4 binary64)) (/.f64 (*.f64 c (*.f64 a (/.f64 #s(literal 1/2 binary64) b_2))) (/.f64 (/.f64 b_2 c) (*.f64 a #s(literal 1/2 binary64)))))) (-.f64 (*.f64 b_2 #s(literal -2 binary64)) (*.f64 c (*.f64 a (/.f64 #s(literal 1/2 binary64) b_2)))))
23.1%
(*.f64 (/.f64 c (-.f64 (*.f64 (*.f64 b_2 b_2) #s(literal 4 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 a c) b_2) (/.f64 (*.f64 a c) b_2))))) (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) b_2))))
13.6%
(*.f64 (/.f64 c (+.f64 (*.f64 (*.f64 b_2 (*.f64 b_2 b_2)) #s(literal -8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal 1/8 binary64)) (*.f64 b_2 (*.f64 b_2 b_2))))) (+.f64 (*.f64 (*.f64 b_2 b_2) #s(literal 4 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2) (*.f64 b_2 #s(literal -2 binary64))) (/.f64 b_2 (*.f64 c (*.f64 a #s(literal 1/2 binary64)))))))
2.6%
(*.f64 (/.f64 #s(literal 2 binary64) a) b_2)
31.7%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (*.f64 c (*.f64 a (/.f64 #s(literal 1/2 binary64) b_2))))) c)
✓39.5%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)))
22.7%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 a (*.f64 b_2 #s(literal -2 binary64))))
24.5%
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) b_2))
✓55.8%
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))
36.4%
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (*.f64 c (-.f64 #s(literal 0 binary64) a))) b_2))
✓35.1%
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
31.1%
(*.f64 (+.f64 (/.f64 (/.f64 (*.f64 b_2 #s(literal 2 binary64)) a) c) (/.f64 #s(literal -1/2 binary64) b_2)) (neg.f64 c))
16.7%
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 a #s(literal -2 binary64))) #s(literal -1 binary64))) b_2)
12.5%
(*.f64 b_2 (/.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 b_2 b_2)))
8.6%
(exp.f64 (*.f64 (log.f64 (/.f64 a (*.f64 b_2 #s(literal 2 binary64)))) #s(literal -1 binary64)))
Compiler

Compiled 2197 to 919 computations (58.2% saved)

regimes118.0ms (0.9%)

Counts
81 → 3
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(*.f64 (/.f64 #s(literal 2 binary64) a) b_2)
(*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b_2))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b_2) #s(literal -2 binary64)))
(*.f64 b_2 (/.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 b_2 b_2)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 b_2 #s(literal -2 binary64))))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) b_2) a)
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) b_2))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 a (*.f64 b_2 #s(literal -2 binary64))))
(+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (/.f64 #s(literal 1/2 binary64) (/.f64 b_2 c)))
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) b_2)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2) c))
(*.f64 b_2 (+.f64 (/.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)))
(*.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b_2) (*.f64 #s(literal -2 binary64) (/.f64 b_2 (*.f64 c a)))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b_2 (+.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b_2)))
(/.f64 c (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (*.f64 c (*.f64 a (/.f64 #s(literal 1/2 binary64) b_2)))))
(/.f64 c (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2)))
(*.f64 (+.f64 (/.f64 (/.f64 (*.f64 b_2 #s(literal 2 binary64)) a) c) (/.f64 #s(literal -1/2 binary64) b_2)) (neg.f64 c))
(*.f64 (+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) b_2))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (*.f64 c (*.f64 a (/.f64 #s(literal 1/2 binary64) b_2))))) c)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2))) c)
(/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) (*.f64 c a)))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c) (*.f64 #s(literal 1 binary64) (*.f64 a (/.f64 #s(literal 1/2 binary64) b_2)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (*.f64 (*.f64 c #s(literal 1/2 binary64)) (/.f64 a b_2))) c))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)) c))
(/.f64 (*.f64 c (+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b_2))) a)
(/.f64 (+.f64 (*.f64 (*.f64 b_2 #s(literal -2 binary64)) b_2) (*.f64 c (*.f64 a #s(literal 1/2 binary64)))) (*.f64 a b_2))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 b_2 b_2) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 c a))) b_2) a)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2))) c))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) b_2)) a)
(/.f64 (-.f64 (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2)))) b_2) a)
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (*.f64 c (*.f64 a (/.f64 #s(literal 1/2 binary64) b_2))))) (/.f64 #s(literal 1 binary64) c))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2))) (/.f64 #s(literal 1 binary64) c))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b_2 c) (*.f64 a #s(literal 1/2 binary64)))))))
(*.f64 (/.f64 c (-.f64 (*.f64 (*.f64 b_2 b_2) #s(literal 4 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 a c) b_2) (/.f64 (*.f64 a c) b_2))))) (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) b_2))))
(*.f64 (/.f64 c (-.f64 (*.f64 (*.f64 b_2 b_2) #s(literal 4 binary64)) (/.f64 (*.f64 c (*.f64 a (/.f64 #s(literal 1/2 binary64) b_2))) (/.f64 (/.f64 b_2 c) (*.f64 a #s(literal 1/2 binary64)))))) (-.f64 (*.f64 b_2 #s(literal -2 binary64)) (*.f64 c (*.f64 a (/.f64 #s(literal 1/2 binary64) b_2)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c)) (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 a (/.f64 #s(literal 1/2 binary64) b_2))) (*.f64 #s(literal 1 binary64) (*.f64 a (/.f64 #s(literal 1/2 binary64) b_2))))) (-.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c) (*.f64 #s(literal 1 binary64) (*.f64 a (/.f64 #s(literal 1/2 binary64) b_2))))))
(*.f64 (/.f64 c (+.f64 (*.f64 (*.f64 b_2 (*.f64 b_2 b_2)) #s(literal -8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal 1/8 binary64)) (*.f64 b_2 (*.f64 b_2 b_2))))) (+.f64 (*.f64 (*.f64 b_2 b_2) #s(literal 4 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2) (*.f64 b_2 #s(literal -2 binary64))) (/.f64 b_2 (*.f64 c (*.f64 a #s(literal 1/2 binary64)))))))
(/.f64 (*.f64 (+.f64 #s(literal 8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -1/8 binary64)) (*.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 b_2 (*.f64 b_2 b_2))))) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a))) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2)) #s(literal 2 binary64)) (/.f64 (*.f64 b_2 b_2) (*.f64 (*.f64 a c) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2) a)
(-.f64 (/.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) a) (/.f64 b_2 a))
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (*.f64 c (-.f64 #s(literal 0 binary64) a))) b_2))
(-.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) a) (/.f64 b_2 a))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))
(-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (/.f64 b_2 a))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (pow.f64 (*.f64 c (-.f64 #s(literal 0 binary64) a)) #s(literal -1/2 binary64)))) (/.f64 b_2 a))
(-.f64 (/.f64 (pow.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal 1/4 binary64)) a) (/.f64 b_2 a))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) #s(literal 1/2 binary64)) b_2)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) a))
(/.f64 (*.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) (*.f64 a a))
(/.f64 (-.f64 (*.f64 a (sqrt.f64 (*.f64 c (-.f64 #s(literal 0 binary64) a)))) (*.f64 a b_2)) (*.f64 a a))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64)))) (/.f64 b_2 a))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (-.f64 (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (*.f64 b_2 a)) (*.f64 a a))
(*.f64 (-.f64 (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (*.f64 b_2 a)) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(-.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 a c))) a) (/.f64 b_2 a))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) (*.f64 b_2 b_2))) (+.f64 b_2 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) #s(literal 1/2 binary64))))
(/.f64 (/.f64 (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)) a) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (/.f64 (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)) a)))
(exp.f64 (*.f64 (log.f64 (/.f64 a (*.f64 b_2 #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 a #s(literal -2 binary64))) #s(literal -1 binary64))) b_2)
(-.f64 (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) a)) (sqrt.f64 c)) a) (/.f64 b_2 a))
(-.f64 (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) c)) (sqrt.f64 a)) a) (/.f64 b_2 a))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 1/2 binary64)) (pow.f64 c #s(literal 1/2 binary64))) b_2)))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) c) #s(literal 1/2 binary64)) (pow.f64 a #s(literal 1/2 binary64))) b_2)))
Outputs
(+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
(-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (/.f64 b_2 a))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
Calls

4 calls:

43.0ms
c
24.0ms
b_2
23.0ms
a
21.0ms
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Results
AccuracySegmentsBranch
62.4%3a
83.8%3b_2
64.4%3c
76.9%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)

regimes23.0ms (0.2%)

Counts
57 → 3
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(*.f64 (/.f64 #s(literal 2 binary64) a) b_2)
(*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b_2))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b_2) #s(literal -2 binary64)))
(*.f64 b_2 (/.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 b_2 b_2)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 b_2 #s(literal -2 binary64))))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) b_2) a)
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) b_2))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 a (*.f64 b_2 #s(literal -2 binary64))))
(+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (/.f64 #s(literal 1/2 binary64) (/.f64 b_2 c)))
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) b_2)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2) c))
(*.f64 b_2 (+.f64 (/.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)))
(*.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b_2) (*.f64 #s(literal -2 binary64) (/.f64 b_2 (*.f64 c a)))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b_2 (+.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b_2)))
(/.f64 c (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (*.f64 c (*.f64 a (/.f64 #s(literal 1/2 binary64) b_2)))))
(/.f64 c (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2)))
(*.f64 (+.f64 (/.f64 (/.f64 (*.f64 b_2 #s(literal 2 binary64)) a) c) (/.f64 #s(literal -1/2 binary64) b_2)) (neg.f64 c))
(*.f64 (+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) b_2))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (*.f64 c (*.f64 a (/.f64 #s(literal 1/2 binary64) b_2))))) c)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2))) c)
(/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) (*.f64 c a)))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c) (*.f64 #s(literal 1 binary64) (*.f64 a (/.f64 #s(literal 1/2 binary64) b_2)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (*.f64 (*.f64 c #s(literal 1/2 binary64)) (/.f64 a b_2))) c))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)) c))
(/.f64 (*.f64 c (+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b_2))) a)
(/.f64 (+.f64 (*.f64 (*.f64 b_2 #s(literal -2 binary64)) b_2) (*.f64 c (*.f64 a #s(literal 1/2 binary64)))) (*.f64 a b_2))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 b_2 b_2) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 c a))) b_2) a)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2))) c))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) b_2)) a)
(/.f64 (-.f64 (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2)))) b_2) a)
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (*.f64 c (*.f64 a (/.f64 #s(literal 1/2 binary64) b_2))))) (/.f64 #s(literal 1 binary64) c))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2))) (/.f64 #s(literal 1 binary64) c))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b_2 c) (*.f64 a #s(literal 1/2 binary64)))))))
(*.f64 (/.f64 c (-.f64 (*.f64 (*.f64 b_2 b_2) #s(literal 4 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 a c) b_2) (/.f64 (*.f64 a c) b_2))))) (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) b_2))))
(*.f64 (/.f64 c (-.f64 (*.f64 (*.f64 b_2 b_2) #s(literal 4 binary64)) (/.f64 (*.f64 c (*.f64 a (/.f64 #s(literal 1/2 binary64) b_2))) (/.f64 (/.f64 b_2 c) (*.f64 a #s(literal 1/2 binary64)))))) (-.f64 (*.f64 b_2 #s(literal -2 binary64)) (*.f64 c (*.f64 a (/.f64 #s(literal 1/2 binary64) b_2)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c)) (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 a (/.f64 #s(literal 1/2 binary64) b_2))) (*.f64 #s(literal 1 binary64) (*.f64 a (/.f64 #s(literal 1/2 binary64) b_2))))) (-.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c) (*.f64 #s(literal 1 binary64) (*.f64 a (/.f64 #s(literal 1/2 binary64) b_2))))))
(*.f64 (/.f64 c (+.f64 (*.f64 (*.f64 b_2 (*.f64 b_2 b_2)) #s(literal -8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal 1/8 binary64)) (*.f64 b_2 (*.f64 b_2 b_2))))) (+.f64 (*.f64 (*.f64 b_2 b_2) #s(literal 4 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2) (*.f64 b_2 #s(literal -2 binary64))) (/.f64 b_2 (*.f64 c (*.f64 a #s(literal 1/2 binary64)))))))
(/.f64 (*.f64 (+.f64 #s(literal 8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -1/8 binary64)) (*.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 b_2 (*.f64 b_2 b_2))))) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a))) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2)) #s(literal 2 binary64)) (/.f64 (*.f64 b_2 b_2) (*.f64 (*.f64 a c) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2) a)
(-.f64 (/.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) a) (/.f64 b_2 a))
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (*.f64 c (-.f64 #s(literal 0 binary64) a))) b_2))
(-.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) a) (/.f64 b_2 a))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))
Outputs
(+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
Calls

1 calls:

17.0ms
b_2
Results
AccuracySegmentsBranch
83.8%3b_2
Compiler

Compiled 4 to 3 computations (25% saved)

regimes22.0ms (0.2%)

Counts
54 → 3
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(*.f64 (/.f64 #s(literal 2 binary64) a) b_2)
(*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b_2))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b_2) #s(literal -2 binary64)))
(*.f64 b_2 (/.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 b_2 b_2)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 b_2 #s(literal -2 binary64))))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) b_2) a)
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) b_2))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 a (*.f64 b_2 #s(literal -2 binary64))))
(+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (/.f64 #s(literal 1/2 binary64) (/.f64 b_2 c)))
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) b_2)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2) c))
(*.f64 b_2 (+.f64 (/.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)))
(*.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b_2) (*.f64 #s(literal -2 binary64) (/.f64 b_2 (*.f64 c a)))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b_2 (+.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b_2)))
(/.f64 c (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (*.f64 c (*.f64 a (/.f64 #s(literal 1/2 binary64) b_2)))))
(/.f64 c (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2)))
(*.f64 (+.f64 (/.f64 (/.f64 (*.f64 b_2 #s(literal 2 binary64)) a) c) (/.f64 #s(literal -1/2 binary64) b_2)) (neg.f64 c))
(*.f64 (+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) b_2))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (*.f64 c (*.f64 a (/.f64 #s(literal 1/2 binary64) b_2))))) c)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2))) c)
(/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) (*.f64 c a)))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c) (*.f64 #s(literal 1 binary64) (*.f64 a (/.f64 #s(literal 1/2 binary64) b_2)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (*.f64 (*.f64 c #s(literal 1/2 binary64)) (/.f64 a b_2))) c))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)) c))
(/.f64 (*.f64 c (+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b_2))) a)
(/.f64 (+.f64 (*.f64 (*.f64 b_2 #s(literal -2 binary64)) b_2) (*.f64 c (*.f64 a #s(literal 1/2 binary64)))) (*.f64 a b_2))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 b_2 b_2) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 c a))) b_2) a)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2))) c))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) b_2)) a)
(/.f64 (-.f64 (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2)))) b_2) a)
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (*.f64 c (*.f64 a (/.f64 #s(literal 1/2 binary64) b_2))))) (/.f64 #s(literal 1 binary64) c))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2))) (/.f64 #s(literal 1 binary64) c))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b_2 c) (*.f64 a #s(literal 1/2 binary64)))))))
(*.f64 (/.f64 c (-.f64 (*.f64 (*.f64 b_2 b_2) #s(literal 4 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 a c) b_2) (/.f64 (*.f64 a c) b_2))))) (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) b_2))))
(*.f64 (/.f64 c (-.f64 (*.f64 (*.f64 b_2 b_2) #s(literal 4 binary64)) (/.f64 (*.f64 c (*.f64 a (/.f64 #s(literal 1/2 binary64) b_2))) (/.f64 (/.f64 b_2 c) (*.f64 a #s(literal 1/2 binary64)))))) (-.f64 (*.f64 b_2 #s(literal -2 binary64)) (*.f64 c (*.f64 a (/.f64 #s(literal 1/2 binary64) b_2)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c)) (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 a (/.f64 #s(literal 1/2 binary64) b_2))) (*.f64 #s(literal 1 binary64) (*.f64 a (/.f64 #s(literal 1/2 binary64) b_2))))) (-.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c) (*.f64 #s(literal 1 binary64) (*.f64 a (/.f64 #s(literal 1/2 binary64) b_2))))))
(*.f64 (/.f64 c (+.f64 (*.f64 (*.f64 b_2 (*.f64 b_2 b_2)) #s(literal -8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal 1/8 binary64)) (*.f64 b_2 (*.f64 b_2 b_2))))) (+.f64 (*.f64 (*.f64 b_2 b_2) #s(literal 4 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2) (*.f64 b_2 #s(literal -2 binary64))) (/.f64 b_2 (*.f64 c (*.f64 a #s(literal 1/2 binary64)))))))
(/.f64 (*.f64 (+.f64 #s(literal 8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -1/8 binary64)) (*.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 b_2 (*.f64 b_2 b_2))))) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a))) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2)) #s(literal 2 binary64)) (/.f64 (*.f64 b_2 b_2) (*.f64 (*.f64 a c) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2) a)
(-.f64 (/.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) a) (/.f64 b_2 a))
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (*.f64 c (-.f64 #s(literal 0 binary64) a))) b_2))
(-.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) a) (/.f64 b_2 a))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2)))
Outputs
(+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
(-.f64 (/.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) a) (/.f64 b_2 a))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
Calls

1 calls:

16.0ms
b_2
Results
AccuracySegmentsBranch
78.8%3b_2
Compiler

Compiled 4 to 3 computations (25% saved)

regimes21.0ms (0.2%)

Counts
50 → 3
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(*.f64 (/.f64 #s(literal 2 binary64) a) b_2)
(*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b_2))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b_2) #s(literal -2 binary64)))
(*.f64 b_2 (/.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 b_2 b_2)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 b_2 #s(literal -2 binary64))))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) b_2) a)
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) b_2))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 a (*.f64 b_2 #s(literal -2 binary64))))
(+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (/.f64 #s(literal 1/2 binary64) (/.f64 b_2 c)))
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) b_2)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2) c))
(*.f64 b_2 (+.f64 (/.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)))
(*.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b_2) (*.f64 #s(literal -2 binary64) (/.f64 b_2 (*.f64 c a)))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b_2 (+.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b_2)))
(/.f64 c (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (*.f64 c (*.f64 a (/.f64 #s(literal 1/2 binary64) b_2)))))
(/.f64 c (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2)))
(*.f64 (+.f64 (/.f64 (/.f64 (*.f64 b_2 #s(literal 2 binary64)) a) c) (/.f64 #s(literal -1/2 binary64) b_2)) (neg.f64 c))
(*.f64 (+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) b_2))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (*.f64 c (*.f64 a (/.f64 #s(literal 1/2 binary64) b_2))))) c)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2))) c)
(/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) (*.f64 c a)))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c) (*.f64 #s(literal 1 binary64) (*.f64 a (/.f64 #s(literal 1/2 binary64) b_2)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (*.f64 (*.f64 c #s(literal 1/2 binary64)) (/.f64 a b_2))) c))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)) c))
(/.f64 (*.f64 c (+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b_2))) a)
(/.f64 (+.f64 (*.f64 (*.f64 b_2 #s(literal -2 binary64)) b_2) (*.f64 c (*.f64 a #s(literal 1/2 binary64)))) (*.f64 a b_2))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 b_2 b_2) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 c a))) b_2) a)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2))) c))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) b_2)) a)
(/.f64 (-.f64 (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2)))) b_2) a)
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (*.f64 c (*.f64 a (/.f64 #s(literal 1/2 binary64) b_2))))) (/.f64 #s(literal 1 binary64) c))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2))) (/.f64 #s(literal 1 binary64) c))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b_2 c) (*.f64 a #s(literal 1/2 binary64)))))))
(*.f64 (/.f64 c (-.f64 (*.f64 (*.f64 b_2 b_2) #s(literal 4 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 a c) b_2) (/.f64 (*.f64 a c) b_2))))) (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) b_2))))
(*.f64 (/.f64 c (-.f64 (*.f64 (*.f64 b_2 b_2) #s(literal 4 binary64)) (/.f64 (*.f64 c (*.f64 a (/.f64 #s(literal 1/2 binary64) b_2))) (/.f64 (/.f64 b_2 c) (*.f64 a #s(literal 1/2 binary64)))))) (-.f64 (*.f64 b_2 #s(literal -2 binary64)) (*.f64 c (*.f64 a (/.f64 #s(literal 1/2 binary64) b_2)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c)) (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 a (/.f64 #s(literal 1/2 binary64) b_2))) (*.f64 #s(literal 1 binary64) (*.f64 a (/.f64 #s(literal 1/2 binary64) b_2))))) (-.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c) (*.f64 #s(literal 1 binary64) (*.f64 a (/.f64 #s(literal 1/2 binary64) b_2))))))
(*.f64 (/.f64 c (+.f64 (*.f64 (*.f64 b_2 (*.f64 b_2 b_2)) #s(literal -8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal 1/8 binary64)) (*.f64 b_2 (*.f64 b_2 b_2))))) (+.f64 (*.f64 (*.f64 b_2 b_2) #s(literal 4 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2) (*.f64 b_2 #s(literal -2 binary64))) (/.f64 b_2 (*.f64 c (*.f64 a #s(literal 1/2 binary64)))))))
(/.f64 (*.f64 (+.f64 #s(literal 8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -1/8 binary64)) (*.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 b_2 (*.f64 b_2 b_2))))) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a))) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2)) #s(literal 2 binary64)) (/.f64 (*.f64 b_2 b_2) (*.f64 (*.f64 a c) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2) a)
Outputs
(+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
Calls

1 calls:

15.0ms
b_2
Results
AccuracySegmentsBranch
78.8%3b_2
Compiler

Compiled 4 to 3 computations (25% saved)

regimes18.0ms (0.1%)

Counts
49 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(*.f64 (/.f64 #s(literal 2 binary64) a) b_2)
(*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b_2))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b_2) #s(literal -2 binary64)))
(*.f64 b_2 (/.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 b_2 b_2)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 b_2 #s(literal -2 binary64))))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) b_2) a)
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) b_2))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 a (*.f64 b_2 #s(literal -2 binary64))))
(+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (/.f64 #s(literal 1/2 binary64) (/.f64 b_2 c)))
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) b_2)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2) c))
(*.f64 b_2 (+.f64 (/.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)))
(*.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b_2) (*.f64 #s(literal -2 binary64) (/.f64 b_2 (*.f64 c a)))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b_2 (+.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b_2)))
(/.f64 c (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (*.f64 c (*.f64 a (/.f64 #s(literal 1/2 binary64) b_2)))))
(/.f64 c (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2)))
(*.f64 (+.f64 (/.f64 (/.f64 (*.f64 b_2 #s(literal 2 binary64)) a) c) (/.f64 #s(literal -1/2 binary64) b_2)) (neg.f64 c))
(*.f64 (+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) b_2))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (*.f64 c (*.f64 a (/.f64 #s(literal 1/2 binary64) b_2))))) c)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2))) c)
(/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) (*.f64 c a)))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c) (*.f64 #s(literal 1 binary64) (*.f64 a (/.f64 #s(literal 1/2 binary64) b_2)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (*.f64 (*.f64 c #s(literal 1/2 binary64)) (/.f64 a b_2))) c))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)) c))
(/.f64 (*.f64 c (+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b_2))) a)
(/.f64 (+.f64 (*.f64 (*.f64 b_2 #s(literal -2 binary64)) b_2) (*.f64 c (*.f64 a #s(literal 1/2 binary64)))) (*.f64 a b_2))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 b_2 b_2) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 c a))) b_2) a)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2))) c))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) b_2)) a)
(/.f64 (-.f64 (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2)))) b_2) a)
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (*.f64 c (*.f64 a (/.f64 #s(literal 1/2 binary64) b_2))))) (/.f64 #s(literal 1 binary64) c))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2))) (/.f64 #s(literal 1 binary64) c))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b_2 c) (*.f64 a #s(literal 1/2 binary64)))))))
(*.f64 (/.f64 c (-.f64 (*.f64 (*.f64 b_2 b_2) #s(literal 4 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 a c) b_2) (/.f64 (*.f64 a c) b_2))))) (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) b_2))))
(*.f64 (/.f64 c (-.f64 (*.f64 (*.f64 b_2 b_2) #s(literal 4 binary64)) (/.f64 (*.f64 c (*.f64 a (/.f64 #s(literal 1/2 binary64) b_2))) (/.f64 (/.f64 b_2 c) (*.f64 a #s(literal 1/2 binary64)))))) (-.f64 (*.f64 b_2 #s(literal -2 binary64)) (*.f64 c (*.f64 a (/.f64 #s(literal 1/2 binary64) b_2)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c)) (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 a (/.f64 #s(literal 1/2 binary64) b_2))) (*.f64 #s(literal 1 binary64) (*.f64 a (/.f64 #s(literal 1/2 binary64) b_2))))) (-.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c) (*.f64 #s(literal 1 binary64) (*.f64 a (/.f64 #s(literal 1/2 binary64) b_2))))))
(*.f64 (/.f64 c (+.f64 (*.f64 (*.f64 b_2 (*.f64 b_2 b_2)) #s(literal -8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal 1/8 binary64)) (*.f64 b_2 (*.f64 b_2 b_2))))) (+.f64 (*.f64 (*.f64 b_2 b_2) #s(literal 4 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2) (*.f64 b_2 #s(literal -2 binary64))) (/.f64 b_2 (*.f64 c (*.f64 a #s(literal 1/2 binary64)))))))
(/.f64 (*.f64 (+.f64 #s(literal 8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -1/8 binary64)) (*.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 b_2 (*.f64 b_2 b_2))))) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a))) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2)) #s(literal 2 binary64)) (/.f64 (*.f64 b_2 b_2) (*.f64 (*.f64 a c) #s(literal -1/2 binary64))))))
Outputs
(+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
(/.f64 c (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (*.f64 c (*.f64 a (/.f64 #s(literal 1/2 binary64) b_2)))))
Calls

1 calls:

15.0ms
b_2
Results
AccuracySegmentsBranch
64.6%2b_2
Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Counts
24 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(*.f64 (/.f64 #s(literal 2 binary64) a) b_2)
(*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b_2))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b_2) #s(literal -2 binary64)))
(*.f64 b_2 (/.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 b_2 b_2)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 b_2 #s(literal -2 binary64))))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) b_2) a)
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) b_2))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 a (*.f64 b_2 #s(literal -2 binary64))))
(+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (/.f64 #s(literal 1/2 binary64) (/.f64 b_2 c)))
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) b_2)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) b_2) c))
(*.f64 b_2 (+.f64 (/.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)))
(*.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b_2) (*.f64 #s(literal -2 binary64) (/.f64 b_2 (*.f64 c a)))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b_2 (+.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b_2)))
Outputs
(+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
Calls

1 calls:

7.0ms
b_2
Results
AccuracySegmentsBranch
64.5%2b_2
Compiler

Compiled 4 to 3 computations (25% saved)

regimes7.0ms (0.1%)

Counts
15 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(*.f64 (/.f64 #s(literal 2 binary64) a) b_2)
(*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b_2))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b_2) #s(literal -2 binary64)))
(*.f64 b_2 (/.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 b_2 b_2)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 b_2 #s(literal -2 binary64))))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) b_2) a)
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) b_2))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 a (*.f64 b_2 #s(literal -2 binary64))))
Outputs
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
Calls

1 calls:

6.0ms
b_2
Results
AccuracySegmentsBranch
64.2%2b_2
Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

Counts
5 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(*.f64 (/.f64 #s(literal 2 binary64) a) b_2)
(*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
Outputs
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))
Calls

3 calls:

2.0ms
b_2
2.0ms
c
2.0ms
a
Results
AccuracySegmentsBranch
35.2%1a
38.7%3c
45.1%2b_2
Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0%)

Counts
3 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(*.f64 (/.f64 #s(literal 2 binary64) a) b_2)
(*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))
Outputs
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))
Calls

1 calls:

2.0ms
b_2
Results
AccuracySegmentsBranch
45.0%2b_2
Compiler

Compiled 4 to 3 computations (25% saved)

regimes10.0ms (0.1%)

Accuracy

Total -21.3b remaining (-51.3%)

Threshold costs -21.3b (-51.3%)

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

3 calls:

6.0ms
c
2.0ms
b_2
2.0ms
a
Results
AccuracySegmentsBranch
35.1%1a
35.1%1c
35.1%1b_2
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch36.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
15481.996552825858
27736.011448420424
17.0ms
-2.60985209659151e+92
-3.9249213312798704e+86
Results
14.0ms169×0valid
6.0ms23×2valid
5.0ms16×1valid
0.0ms4×0invalid
Compiler

Compiled 427 to 285 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 4.0ms (29.4% of total)
ival-sqrt: 2.0ms (14.7% of total)
ival-div: 2.0ms (14.7% of total)
ival-sub: 1.0ms (7.4% of total)
backward-pass: 1.0ms (7.4% of total)
ival-neg: 1.0ms (7.4% of total)
ival-add: 1.0ms (7.4% of total)
const: 0.0ms (0% of total)

bsearch28.0ms (0.2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×predicate-same
Steps
TimeLeftRight
17.0ms
15481.996552825858
27736.011448420424
9.0ms
-2.60985209659151e+92
-3.9249213312798704e+86
Results
9.0ms73×0valid
6.0ms21×2valid
3.0ms18×1valid
3.0ms8×0invalid
Compiler

Compiled 215 to 146 computations (32.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 3.0ms (25.2% of total)
ival-neg: 3.0ms (25.2% of total)
ival-sqrt: 2.0ms (16.8% of total)
ival-div: 1.0ms (8.4% of total)
backward-pass: 1.0ms (8.4% of total)
ival-sub: 1.0ms (8.4% of total)
ival-add: 1.0ms (8.4% of total)
const: 0.0ms (0% of total)

bsearch46.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
15481.996552825858
27736.011448420424
27.0ms
-2.2297371383804532e-100
-1.5893893338116882e-108
Results
22.0ms174×0valid
6.0ms22×2valid
2.0ms30×0invalid
2.0ms12×1valid
Compiler

Compiled 388 to 272 computations (29.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-sqrt: 10.0ms (46% of total)
ival-mult: 4.0ms (18.4% of total)
ival-div: 2.0ms (9.2% of total)
ival-sub: 2.0ms (9.2% of total)
ival-neg: 2.0ms (9.2% of total)
ival-add: 2.0ms (9.2% of total)
backward-pass: 1.0ms (4.6% of total)
const: 0.0ms (0% of total)

bsearch44.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
15481.996552825858
27736.011448420424
24.0ms
-2.2297371383804532e-100
-1.5893893338116882e-108
Results
20.0ms167×0valid
6.0ms23×2valid
3.0ms18×1valid
3.0ms32×0invalid
Compiler

Compiled 375 to 272 computations (27.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 4.0ms (26.8% of total)
ival-div: 2.0ms (13.4% of total)
ival-sqrt: 2.0ms (13.4% of total)
ival-sub: 2.0ms (13.4% of total)
ival-neg: 2.0ms (13.4% of total)
ival-add: 2.0ms (13.4% of total)
backward-pass: 1.0ms (6.7% of total)
const: 0.0ms (0% of total)

bsearch36.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
33.0ms
-7.099639740073863e-307
1.0831945620961708e-302
Results
22.0ms144×0valid
5.0ms58×0invalid
Compiler

Compiled 310 to 222 computations (28.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 3.0ms (32.8% of total)
ival-sub: 1.0ms (10.9% of total)
ival-div: 1.0ms (10.9% of total)
ival-add: 1.0ms (10.9% of total)
ival-sqrt: 1.0ms (10.9% of total)
ival-neg: 1.0ms (10.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch31.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
27.0ms
-7.099639740073863e-307
1.0831945620961708e-302
Results
12.0ms144×0valid
8.0ms89×0invalid
Compiler

Compiled 238 to 177 computations (25.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 4.0ms (34.8% of total)
ival-div: 2.0ms (17.4% of total)
ival-sqrt: 2.0ms (17.4% of total)
ival-sub: 1.0ms (8.7% of total)
ival-add: 1.0ms (8.7% of total)
ival-neg: 1.0ms (8.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch27.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
24.0ms
-7.099639740073863e-307
1.0831945620961708e-302
Results
12.0ms144×0valid
4.0ms56×0invalid
Compiler

Compiled 184 to 141 computations (23.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 3.0ms (33.4% of total)
ival-sub: 1.0ms (11.1% of total)
ival-div: 1.0ms (11.1% of total)
ival-add: 1.0ms (11.1% of total)
ival-sqrt: 1.0ms (11.1% of total)
ival-neg: 1.0ms (11.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch40.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
37.0ms
27736.011448420424
555379124540727.4
Results
16.0ms55×2valid
8.0ms46×1valid
6.0ms59×0valid
1.0ms7×0invalid
Compiler

Compiled 202 to 155 computations (23.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
backward-pass: 4.0ms (20.7% of total)
ival-mult: 4.0ms (20.7% of total)
ival-sqrt: 3.0ms (15.5% of total)
ival-div: 2.0ms (10.4% of total)
ival-sub: 2.0ms (10.4% of total)
ival-neg: 2.0ms (10.4% of total)
ival-add: 2.0ms (10.4% of total)
const: 0.0ms (0% of total)

bsearch66.0ms (0.5%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
63.0ms
27736.011448420424
555379124540727.4
Results
26.0ms42×1valid
15.0ms55×2valid
5.0ms63×0valid
1.0ms14×0invalid
Compiler

Compiled 202 to 155 computations (23.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-div: 18.0ms (53.3% of total)
ival-mult: 5.0ms (14.8% of total)
ival-sqrt: 3.0ms (8.9% of total)
backward-pass: 3.0ms (8.9% of total)
ival-sub: 2.0ms (5.9% of total)
ival-neg: 2.0ms (5.9% of total)
ival-add: 2.0ms (5.9% of total)
const: 0.0ms (0% of total)

simplify15.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
24×*-commutative_binary64
24×+-commutative_binary64
20×sub-neg_binary64
10×neg-sub0_binary64
10×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072237
1101237
2119237
3127237
4131237
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 b_2 #s(literal -240000000000000004620946812042794886411121147554070042166526476158639833120644266230261219328 binary64)) (+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) (if (<=.f64 b_2 #s(literal 15500 binary64)) (-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (/.f64 b_2 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -5000000000000000397811624306402485715781130700834552579693219986743965376100880567070883840 binary64)) (+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) (if (<=.f64 b_2 #s(literal 15500 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -8668441363206785/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816 binary64)) (+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) (if (<=.f64 b_2 #s(literal 16000 binary64)) (-.f64 (/.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) a) (/.f64 b_2 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -5673888892280805/630432099142311667396464641602297820881275828327447146687172694467931548343955369782628260078158650252906047844909056 binary64)) (+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) (if (<=.f64 b_2 #s(literal 15500 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -404804506614621/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) (/.f64 c (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (*.f64 c (*.f64 a (/.f64 #s(literal 1/2 binary64) b_2))))))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
(if (<=.f64 b_2 #s(literal 900000 binary64)) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
(if (<=.f64 b_2 #s(literal 150000 binary64)) (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
Outputs
(if (<=.f64 b_2 #s(literal -240000000000000004620946812042794886411121147554070042166526476158639833120644266230261219328 binary64)) (+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) (if (<=.f64 b_2 #s(literal 15500 binary64)) (-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (/.f64 b_2 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -5000000000000000397811624306402485715781130700834552579693219986743965376100880567070883840 binary64)) (+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) (if (<=.f64 b_2 #s(literal 15500 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -8668441363206785/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816 binary64)) (+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) (if (<=.f64 b_2 #s(literal 16000 binary64)) (-.f64 (/.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) a) (/.f64 b_2 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -8668441363206785/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816 binary64)) (+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) (if (<=.f64 b_2 #s(literal 16000 binary64)) (-.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))) a) (/.f64 b_2 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -5673888892280805/630432099142311667396464641602297820881275828327447146687172694467931548343955369782628260078158650252906047844909056 binary64)) (+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) (if (<=.f64 b_2 #s(literal 15500 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -5673888892280805/630432099142311667396464641602297820881275828327447146687172694467931548343955369782628260078158650252906047844909056 binary64)) (+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) (if (<=.f64 b_2 #s(literal 15500 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))) b_2) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -404804506614621/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) (/.f64 c (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (*.f64 c (*.f64 a (/.f64 #s(literal 1/2 binary64) b_2))))))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
(if (<=.f64 b_2 #s(literal 900000 binary64)) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
(if (<=.f64 b_2 #s(literal 150000 binary64)) (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
(if (<=.f64 b_2 #s(literal 150000 binary64)) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))

soundness2.9s (23%)

Rules
6974×*-lowering-*.f32
6974×*-lowering-*.f64
5242×*-lowering-*.f32
5242×*-lowering-*.f64
5012×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038165
1258158
22354151
08375151
01012
12411
24310
38110
414510
529010
656610
7112710
8192910
9298510
10401210
11409310
12411210
13412010
0412010
0111210451
141169805
090449805
0933
16533
250129
3726829
0809929
033156
1225149
21990139
09643139
032138
1218135
21999132
08841132
05082984
117542788
264642763
080422763
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×saturated
1×iter limit
1×node limit
Compiler

Compiled 1090 to 629 computations (42.3% saved)

preprocess92.0ms (0.7%)

Compiler

Compiled 700 to 210 computations (70% saved)

end0.0ms (0%)

Profiling

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